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Link Prediction and Association Rules

Introduction

Nestimate provides two complementary tools for discovering hidden structure in networks:

Link prediction — which transitions are structurally expected but missing?
Association rules — which activities co-occur within sessions?

Both integrate with cograph::plot_simplicial() via the pathways() method.

Data

We use the bundled group_regulation_long dataset — self-regulated learning sequences from 2000 students with Achiever (High/Low) grouping.

library(Nestimate)
data(group_regulation_long)
head(group_regulation_long)

Actor	Achiever	Group	Course	Time	Action
1	High	1	A	2025-01-01 10:27:07	cohesion
1	High	1	A	2025-01-01 10:35:20	consensus
1	High	1	A	2025-01-01 10:42:18	discuss
1	High	1	A	2025-01-01 10:50:00	synthesis
1	High	1	A	2025-01-01 10:52:25	adapt
1	High	1	A	2025-01-01 10:57:31	consensus

net <- build_network(
  group_regulation_long, method = "relative",
  actor = "Actor", action = "Action", time = "Time"
)
net
#> Transition Network (relative probabilities) [directed]
#>   Weights: [0.001, 0.498]  |  mean: 0.116
#> 
#>   Weight matrix:
#>              adapt cohesion consensus coregulate discuss emotion monitor  plan
#>   adapt      0.000    0.273     0.477      0.022   0.059   0.120   0.033 0.016
#>   cohesion   0.003    0.027     0.498      0.119   0.060   0.116   0.033 0.141
#>   consensus  0.005    0.015     0.082      0.188   0.188   0.073   0.047 0.396
#>   coregulate 0.016    0.036     0.135      0.023   0.274   0.172   0.086 0.239
#>   discuss    0.071    0.048     0.321      0.084   0.195   0.106   0.022 0.012
#>   emotion    0.002    0.325     0.320      0.034   0.102   0.077   0.036 0.100
#>   monitor    0.011    0.056     0.159      0.058   0.375   0.091   0.018 0.216
#>   plan       0.001    0.025     0.290      0.017   0.068   0.147   0.076 0.374
#>   synthesis  0.235    0.034     0.466      0.044   0.063   0.071   0.012 0.075
#>              synthesis
#>   adapt          0.000
#>   cohesion       0.004
#>   consensus      0.008
#>   coregulate     0.019
#>   discuss        0.141
#>   emotion        0.003
#>   monitor        0.016
#>   plan           0.002
#>   synthesis      0.000 
#> 
#>   Initial probabilities:
#>   consensus     0.214  ████████████████████████████████████████
#>   plan          0.204  ██████████████████████████████████████
#>   discuss       0.175  █████████████████████████████████
#>   emotion       0.151  ████████████████████████████
#>   monitor       0.144  ███████████████████████████
#>   cohesion      0.060  ███████████
#>   synthesis     0.019  ████
#>   coregulate    0.019  ████
#>   adapt         0.011  ██

Link Prediction

Running predictions

predict_links() runs six methods by default and ranks them by consensus:

pred <- predict_links(net, exclude_existing = FALSE)
pred
#> Link Prediction  [directed | weighted | 9 nodes | 71 existing edges]
#>   Methods: common_neighbors, resource_allocation, adamic_adar, jaccard, preferential_attachment, katz
#> 
#>   Top predicted links (consensus across 6 methods):
#>     1. discuss -> consensus  (avg rank: 5.5, agreed: 6/6)
#>     2. plan -> consensus  (avg rank: 5.5, agreed: 6/6)
#>     3. cohesion -> consensus  (avg rank: 6.0, agreed: 6/6)
#>     4. consensus -> cohesion  (avg rank: 6.2, agreed: 6/6)
#>     5. emotion -> consensus  (avg rank: 7.8, agreed: 6/6)
#>     6. consensus -> discuss  (avg rank: 10.5, agreed: 6/6)
#>     7. coregulate -> consensus  (avg rank: 12.0, agreed: 6/6)
#>     8. plan -> discuss  (avg rank: 13.3, agreed: 6/6)
#>     9. consensus -> plan  (avg rank: 13.8, agreed: 6/6)
#>     10. consensus -> coregulate  (avg rank: 14.0, agreed: 6/6)
#>     ... and 62 more predictions

The consensus ranking averages each pair’s rank across all methods — pairs consistently ranked high are the strongest predictions:

head(pred$consensus, 10)

from	to	avg_rank	n_methods	consensus_rank
discuss	consensus	5.500000	6	1
plan	consensus	5.500000	6	2
cohesion	consensus	6.000000	6	3
consensus	cohesion	6.166667	6	4
emotion	consensus	7.833333	6	5
consensus	discuss	10.500000	6	6
coregulate	consensus	12.000000	6	7
plan	discuss	13.333333	6	8
consensus	plan	13.833333	6	9
consensus	coregulate	14.000000	6	10

Choosing a method

You can also run a single method:

pred_katz <- predict_links(net, methods = "katz", exclude_existing = FALSE)
pred_katz
#> Link Prediction  [directed | weighted | 9 nodes | 71 existing edges]
#>   Methods: katz
#> 
#>   Top predicted links (katz):
#>     1. discuss -> cohesion  (score: 1.0631)
#>     2. emotion -> cohesion  (score: 1.0631)
#>     3. monitor -> cohesion  (score: 1.0631)
#>     4. cohesion -> consensus  (score: 1.0631)
#>     5. discuss -> consensus  (score: 1.0631)
#>     6. emotion -> consensus  (score: 1.0631)
#>     7. monitor -> consensus  (score: 1.0631)
#>     8. cohesion -> coregulate  (score: 1.0631)
#>     9. emotion -> coregulate  (score: 1.0631)
#>     10. cohesion -> discuss  (score: 1.0631)
#>     ... and 62 more predictions

Method	Idea	Best for
`common_neighbors`	Shared out- and in-neighbors	Dense local structure
`resource_allocation`	Shared neighbors weighted by 1/degree	Hub-dominated networks
`adamic_adar`	Shared neighbors weighted by 1/log(degree)	General-purpose
`jaccard`	Shared / union neighbors	Cross-network comparison
`preferential_attachment`	out-degree(i) x in-degree(j)	Scale-free networks
`katz`	All paths weighted by length	Global structure

Sparse networks

Link prediction is most useful when edges are missing. Threshold the network to create gaps, then predict what’s missing:

net_sparse <- build_network(
  group_regulation_long, method = "relative",
  actor = "Actor", action = "Action", time = "Time",
  threshold = 0.05
)
pred_sparse <- predict_links(net_sparse, methods = "resource_allocation")
pred_sparse
#> Link Prediction  [directed | weighted | 9 nodes | 42 existing edges]
#>   Methods: resource_allocation
#> 
#>   Top predicted links (resource_allocation):
#>     1. consensus -> cohesion  (score: 0.0417)
#>     2. discuss -> plan  (score: 0.0360)
#>     3. emotion -> adapt  (score: 0.0264)
#>     4. consensus -> adapt  (score: 0.0239)
#>     5. plan -> coregulate  (score: 0.0231)
#>     6. discuss -> cohesion  (score: 0.0219)
#>     7. plan -> cohesion  (score: 0.0200)
#>     8. synthesis -> cohesion  (score: 0.0183)
#>     9. cohesion -> synthesis  (score: 0.0183)
#>     10. cohesion -> adapt  (score: 0.0182)
#>     ... and 20 more predictions

Evaluating predictions

Use the full network’s edges as ground truth to evaluate predictions from the sparse network:

true_edges <- extract_edges(net)
pred_eval <- predict_links(net_sparse, exclude_existing = FALSE)
evaluate_links(pred_eval, true_edges[, c("from", "to")], k = c(3, 5, 10))

method	auc	average_precision	precision_at_3	precision_at_5	precision_at_10
common_neighbors	NA	1	1	1	1
resource_allocation	NA	1	1	1	1
adamic_adar	NA	1	1	1	1
jaccard	NA	1	1	1	1
preferential_attachment	NA	1	1	1	1
katz	NA	1	1	1	1

Per-group predictions

Build separate networks per group and predict within each:

nets <- build_network(
  group_regulation_long, method = "relative",
  actor = "Actor", action = "Action", time = "Time",
  group = "Achiever", threshold = 0.05
)
lapply(nets, function(g) predict_links(g, methods = "katz", top_n = 3))
#> $High
#> Link Prediction  [directed | weighted | 9 nodes | 38 existing edges]
#>   Methods: katz
#> 
#>   Top predicted links (katz):
#>     1. discuss -> plan  (score: 1.4836)
#>     2. cohesion -> discuss  (score: 1.1532)
#>     3. synthesis -> discuss  (score: 0.9990)
#> 
#> $Low
#> Link Prediction  [directed | weighted | 9 nodes | 44 existing edges]
#>   Methods: katz
#> 
#>   Top predicted links (katz):
#>     1. discuss -> plan  (score: 1.1003)
#>     2. synthesis -> plan  (score: 0.9448)
#>     3. adapt -> plan  (score: 0.8393)

Extracting pathways

pathways() converts predictions into strings for cograph::plot_simplicial(). With evidence = TRUE (default), each predicted edge is enriched with common neighbors that structurally bridge source to target:

pathways(pred_sparse, top = 5, evidence = TRUE)
#> [1] "consensus emotion -> cohesion"               
#> [2] "discuss consensus coregulate emotion -> plan"
#> [3] "emotion discuss -> adapt"                    
#> [4] "consensus discuss -> adapt"                  
#> [5] "plan consensus discuss monitor -> coregulate"

"A cn1 cn2 -> B" means: A is predicted to connect to B, with cn1 and cn2 as the bridging nodes. Without evidence:

pathways(pred_sparse, top = 5, evidence = FALSE)
#> [1] "consensus -> cohesion" "discuss -> plan"       "emotion -> adapt"     
#> [4] "consensus -> adapt"    "plan -> coregulate"

Association Rules

Basic usage

association_rules() treats each sequence as a basket of its unique states, then finds co-occurrence patterns via Apriori:

rules <- association_rules(net, min_support = 0.3,
                           min_confidence = 0.5, min_lift = 1.0)
rules
#> Association Rules  [640 rules | 8 items | 2000 transactions]
#>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 1.00
#> 
#>   Top rules (by lift):
#>     1. cohesion, coregulate -> discuss, emotion, plan  (sup=0.302 conf=0.772 lift=1.36)
#>     2. discuss, emotion, plan -> cohesion, coregulate  (sup=0.302 conf=0.534 lift=1.36)
#>     3. cohesion, coregulate -> consensus, discuss, emotion  (sup=0.316 conf=0.807 lift=1.35)
#>     4. consensus, discuss, emotion -> cohesion, coregulate  (sup=0.316 conf=0.529 lift=1.35)
#>     5. cohesion, consensus, coregulate -> discuss, emotion  (sup=0.316 conf=0.827 lift=1.35)
#>     6. discuss, emotion -> cohesion, consensus, coregulate  (sup=0.316 conf=0.516 lift=1.35)
#>     7. cohesion, coregulate, plan -> discuss, emotion  (sup=0.302 conf=0.826 lift=1.35)
#>     8. cohesion, discuss, plan -> coregulate, emotion  (sup=0.302 conf=0.672 lift=1.35)
#>     9. coregulate, emotion -> cohesion, discuss, plan  (sup=0.302 conf=0.606 lift=1.35)
#>     10. cohesion, coregulate -> discuss, emotion  (sup=0.320 conf=0.817 lift=1.34)
#>     ... and 630 more rules

Understanding the output

summary(rules)
#>                             antecedent                           consequent
#>                    cohesion,coregulate                 discuss,emotion,plan
#>                   discuss,emotion,plan                  cohesion,coregulate
#>                    cohesion,coregulate            consensus,discuss,emotion
#>              consensus,discuss,emotion                  cohesion,coregulate
#>          cohesion,consensus,coregulate                      discuss,emotion
#>                        discuss,emotion        cohesion,consensus,coregulate
#>               cohesion,coregulate,plan                      discuss,emotion
#>                  cohesion,discuss,plan                   coregulate,emotion
#>                     coregulate,emotion                cohesion,discuss,plan
#>                    cohesion,coregulate                      discuss,emotion
#>                        discuss,emotion                  cohesion,coregulate
#>             cohesion,consensus,discuss                   coregulate,emotion
#>                     coregulate,emotion           cohesion,consensus,discuss
#>             coregulate,discuss,emotion                        cohesion,plan
#>                          cohesion,plan           coregulate,discuss,emotion
#>             coregulate,discuss,emotion                   cohesion,consensus
#>                     cohesion,consensus           coregulate,discuss,emotion
#>                coregulate,emotion,plan                     cohesion,discuss
#>                       cohesion,discuss              coregulate,emotion,plan
#>           consensus,coregulate,emotion                     cohesion,discuss
#>                       cohesion,discuss         consensus,coregulate,emotion
#>                     coregulate,emotion              cohesion,consensus,plan
#>                cohesion,consensus,plan                   coregulate,emotion
#>           consensus,coregulate,emotion                        cohesion,plan
#>                          cohesion,plan         consensus,coregulate,emotion
#>                coregulate,emotion,plan                   cohesion,consensus
#>                     cohesion,consensus              coregulate,emotion,plan
#>                       cohesion,discuss                   coregulate,emotion
#>                     coregulate,emotion                     cohesion,discuss
#>                    cohesion,coregulate               consensus,emotion,plan
#>                 consensus,emotion,plan                  cohesion,coregulate
#>                     coregulate,emotion                        cohesion,plan
#>                          cohesion,plan                   coregulate,emotion
#>                     cohesion,consensus                 discuss,emotion,plan
#>                   discuss,emotion,plan                   cohesion,consensus
#>               cohesion,coregulate,plan                    consensus,emotion
#>          cohesion,consensus,coregulate                         emotion,plan
#>                cohesion,consensus,plan                      discuss,emotion
#>                        discuss,emotion              cohesion,consensus,plan
#>                          cohesion,plan            consensus,discuss,emotion
#>              consensus,discuss,emotion                        cohesion,plan
#>                     coregulate,emotion                   cohesion,consensus
#>                     cohesion,consensus                   coregulate,emotion
#>               cohesion,discuss,emotion                      coregulate,plan
#>                        coregulate,plan             cohesion,discuss,emotion
#>            cohesion,coregulate,discuss                    consensus,emotion
#>                        coregulate,plan            consensus,discuss,emotion
#>              consensus,discuss,emotion                      coregulate,plan
#>            cohesion,coregulate,discuss                         emotion,plan
#>              consensus,emotion,monitor                         discuss,plan
#>                          cohesion,plan                      discuss,emotion
#>                        discuss,emotion                        cohesion,plan
#>                    cohesion,coregulate                         emotion,plan
#>                     cohesion,consensus                      discuss,emotion
#>                        discuss,emotion                   cohesion,consensus
#>              consensus,coregulate,plan                      discuss,emotion
#>                        discuss,emotion            consensus,coregulate,plan
#>                    cohesion,coregulate                    consensus,emotion
#>                   discuss,emotion,plan                 consensus,coregulate
#>                   consensus,coregulate                 discuss,emotion,plan
#>             cohesion,consensus,emotion                      coregulate,plan
#>                        coregulate,plan           cohesion,consensus,emotion
#>             cohesion,consensus,discuss                      coregulate,plan
#>                        coregulate,plan           cohesion,consensus,discuss
#>          cohesion,consensus,coregulate                         discuss,plan
#>                     coregulate,monitor                         discuss,plan
#>                  cohesion,discuss,plan                 consensus,coregulate
#>                   consensus,coregulate                cohesion,discuss,plan
#>             cohesion,consensus,emotion                   coregulate,discuss
#>                     coregulate,discuss           cohesion,consensus,emotion
#>               cohesion,discuss,emotion                 consensus,coregulate
#>                   consensus,coregulate             cohesion,discuss,emotion
#>                        emotion,monitor               consensus,discuss,plan
#>                 consensus,discuss,plan                      emotion,monitor
#>                    cohesion,coregulate               consensus,discuss,plan
#>                  cohesion,discuss,plan                    consensus,emotion
#>                      consensus,emotion                cohesion,discuss,plan
#>             coregulate,discuss,emotion                             cohesion
#>                               cohesion           coregulate,discuss,emotion
#>   consensus,coregulate,discuss,emotion                             cohesion
#>                               cohesion consensus,coregulate,discuss,emotion
#>                  cohesion,emotion,plan                   coregulate,discuss
#>                     coregulate,discuss                cohesion,emotion,plan
#>        coregulate,discuss,emotion,plan                             cohesion
#>                               cohesion      coregulate,discuss,emotion,plan
#>          cohesion,discuss,emotion,plan                           coregulate
#>           consensus,coregulate,emotion                         discuss,plan
#>                           discuss,plan         consensus,coregulate,emotion
#>                        coregulate,plan                      discuss,emotion
#>                        discuss,emotion                      coregulate,plan
#>                coregulate,discuss,plan                   cohesion,consensus
#>                     cohesion,consensus              coregulate,discuss,plan
#>     cohesion,consensus,discuss,emotion                           coregulate
#>                             coregulate   cohesion,consensus,discuss,emotion
#>            cohesion,coregulate,emotion                         discuss,plan
#>                     coregulate,emotion               consensus,discuss,plan
#>                 consensus,discuss,plan                   coregulate,emotion
#>                      consensus,monitor                 discuss,emotion,plan
#>                   discuss,emotion,plan                    consensus,monitor
#>                       cohesion,discuss            consensus,coregulate,plan
#>              consensus,coregulate,plan                     cohesion,discuss
#>                cohesion,consensus,plan                   coregulate,discuss
#>                     coregulate,discuss              cohesion,consensus,plan
#>                        emotion,monitor                         discuss,plan
#>                           discuss,plan                      emotion,monitor
#>      consensus,coregulate,emotion,plan                             cohesion
#>                               cohesion    consensus,coregulate,emotion,plan
#>                          cohesion,plan                    consensus,emotion
#>                      consensus,emotion                        cohesion,plan
#>                coregulate,emotion,plan                             cohesion
#>                               cohesion              coregulate,emotion,plan
#>                    cohesion,coregulate                         discuss,plan
#>                          cohesion,plan         consensus,coregulate,discuss
#>           consensus,coregulate,discuss                        cohesion,plan
#>                  cohesion,emotion,plan                 consensus,coregulate
#>                   consensus,coregulate                cohesion,emotion,plan
#>                 consensus,monitor,plan                      discuss,emotion
#>                        discuss,emotion               consensus,monitor,plan
#>             cohesion,consensus,discuss                         emotion,plan
#>                           emotion,plan           cohesion,consensus,discuss
#>           consensus,coregulate,emotion                             cohesion
#>                               cohesion         consensus,coregulate,emotion
#>                     cohesion,consensus                         emotion,plan
#>                           emotion,plan                   cohesion,consensus
#>                coregulate,discuss,plan                     cohesion,emotion
#>                       cohesion,emotion              coregulate,discuss,plan
#>                       cohesion,discuss               consensus,emotion,plan
#>                 consensus,emotion,plan                     cohesion,discuss
#>        cohesion,consensus,discuss,plan                           coregulate
#>                             coregulate      cohesion,consensus,discuss,plan
#>                     coregulate,emotion                             cohesion
#>                               cohesion                   coregulate,emotion
#>         consensus,discuss,emotion,plan                           coregulate
#>                             coregulate       consensus,discuss,emotion,plan
#>                       cohesion,discuss                      coregulate,plan
#>                        coregulate,plan                     cohesion,discuss
#>                        discuss,monitor                      coregulate,plan
#>                        coregulate,plan                      discuss,monitor
#>               cohesion,discuss,emotion                           coregulate
#>                             coregulate             cohesion,discuss,emotion
#>                   consensus,coregulate                      discuss,emotion
#>                        discuss,emotion                 consensus,coregulate
#>                   discuss,emotion,plan                             cohesion
#>                               cohesion                 discuss,emotion,plan
#>                     coregulate,emotion                         discuss,plan
#>                           discuss,plan                   coregulate,emotion
#>                   discuss,emotion,plan                           coregulate
#>                             coregulate                 discuss,emotion,plan
#>                  cohesion,discuss,plan                           coregulate
#>                             coregulate                cohesion,discuss,plan
#>     cohesion,consensus,coregulate,plan                              emotion
#>               cohesion,coregulate,plan                              emotion
#>       cohesion,coregulate,discuss,plan                              emotion
#>         consensus,discuss,emotion,plan                             cohesion
#>                               cohesion       consensus,discuss,emotion,plan
#>                               cohesion                      discuss,emotion
#>                        discuss,emotion                             cohesion
#>                     coregulate,discuss                   cohesion,consensus
#>                     cohesion,consensus                   coregulate,discuss
#>                           monitor,plan            consensus,discuss,emotion
#>              consensus,discuss,emotion                         monitor,plan
#>                          cohesion,plan                   coregulate,discuss
#>                     coregulate,discuss                        cohesion,plan
#>                       cohesion,emotion         consensus,coregulate,discuss
#>           consensus,coregulate,discuss                     cohesion,emotion
#>                               cohesion            consensus,discuss,emotion
#>              consensus,discuss,emotion                             cohesion
#>                       cohesion,emotion            consensus,coregulate,plan
#>              consensus,coregulate,plan                     cohesion,emotion
#>          cohesion,consensus,coregulate                              emotion
#>                     cohesion,consensus                      coregulate,plan
#>                        coregulate,plan                   cohesion,consensus
#>                coregulate,discuss,plan                    consensus,emotion
#>                      consensus,emotion              coregulate,discuss,plan
#>                    cohesion,coregulate                              emotion
#>  cohesion,consensus,coregulate,discuss                              emotion
#>        cohesion,consensus,emotion,plan                           coregulate
#>                             coregulate      cohesion,consensus,emotion,plan
#>                       cohesion,discuss                    consensus,emotion
#>                      consensus,emotion                     cohesion,discuss
#>                       cohesion,discuss                 consensus,coregulate
#>                   consensus,coregulate                     cohesion,discuss
#>            cohesion,coregulate,discuss                              emotion
#>                     coregulate,discuss               consensus,emotion,plan
#>                 consensus,emotion,plan                   coregulate,discuss
#>                      consensus,monitor                   coregulate,discuss
#>                     coregulate,discuss                    consensus,monitor
#>              consensus,discuss,emotion                           coregulate
#>                             coregulate            consensus,discuss,emotion
#>               cohesion,coregulate,plan                    consensus,discuss
#>             cohesion,consensus,emotion                         discuss,plan
#>                           discuss,plan           cohesion,consensus,emotion
#>             cohesion,consensus,discuss                           coregulate
#>                             coregulate           cohesion,consensus,discuss
#>                       cohesion,discuss                         emotion,plan
#>                           emotion,plan                     cohesion,discuss
#>                     coregulate,monitor                    consensus,discuss
#>                   consensus,coregulate                         discuss,plan
#>                           discuss,plan                 consensus,coregulate
#>                       cohesion,emotion                      coregulate,plan
#>                        coregulate,plan                     cohesion,emotion
#>                   discuss,monitor,plan                           coregulate
#>                      consensus,monitor                         discuss,plan
#>                           discuss,plan                    consensus,monitor
#>                       cohesion,emotion                   coregulate,discuss
#>                     coregulate,discuss                     cohesion,emotion
#>             cohesion,consensus,emotion                           coregulate
#>                             coregulate           cohesion,consensus,emotion
#>                        discuss,monitor                 consensus,coregulate
#>                   consensus,coregulate                      discuss,monitor
#>                      consensus,monitor                      coregulate,plan
#>                        coregulate,plan                    consensus,monitor
#>                  cohesion,emotion,plan                           coregulate
#>                             coregulate                cohesion,emotion,plan
#>                coregulate,emotion,plan                    consensus,discuss
#>                      consensus,discuss              coregulate,emotion,plan
#>           consensus,coregulate,discuss                         emotion,plan
#>                           emotion,plan         consensus,coregulate,discuss
#>                          cohesion,plan                 consensus,coregulate
#>                   consensus,coregulate                        cohesion,plan
#>                           monitor,plan                   coregulate,discuss
#>                     coregulate,discuss                         monitor,plan
#>              consensus,discuss,monitor                           coregulate
#>                             coregulate            consensus,discuss,monitor
#>                   emotion,monitor,plan                    consensus,discuss
#>                           monitor,plan                      discuss,emotion
#>                        discuss,emotion                         monitor,plan
#>                    cohesion,coregulate                    consensus,discuss
#>            cohesion,coregulate,emotion                    consensus,discuss
#>                        coregulate,plan                    consensus,emotion
#>                      consensus,emotion                      coregulate,plan
#>        cohesion,consensus,discuss,plan                              emotion
#>                                emotion      cohesion,consensus,discuss,plan
#>                cohesion,consensus,plan                              emotion
#>                                emotion              cohesion,consensus,plan
#>                      consensus,monitor                      discuss,emotion
#>                        discuss,emotion                    consensus,monitor
#>                  cohesion,discuss,plan                              emotion
#>                                emotion                cohesion,discuss,plan
#>                             coregulate                      discuss,emotion
#>                        discuss,emotion                           coregulate
#>                               cohesion               consensus,emotion,plan
#>                 consensus,emotion,plan                             cohesion
#>                   discuss,monitor,plan                    consensus,emotion
#>                     cohesion,consensus                         discuss,plan
#>                           discuss,plan                   cohesion,consensus
#>              consensus,discuss,monitor                         emotion,plan
#>                           emotion,plan            consensus,discuss,monitor
#>                cohesion,consensus,plan                           coregulate
#>                             coregulate              cohesion,consensus,plan
#>                          cohesion,plan                              emotion
#>                                emotion                        cohesion,plan
#>                             coregulate               consensus,discuss,plan
#>                 consensus,discuss,plan                           coregulate
#>                       cohesion,discuss                           coregulate
#>                             coregulate                     cohesion,discuss
#>                        discuss,monitor               consensus,emotion,plan
#>                 consensus,emotion,plan                      discuss,monitor
#>                       cohesion,emotion                 consensus,coregulate
#>                   consensus,coregulate                     cohesion,emotion
#>      consensus,coregulate,discuss,plan                             cohesion
#>                               cohesion    consensus,coregulate,discuss,plan
#>                     coregulate,discuss                         emotion,plan
#>                           emotion,plan                   coregulate,discuss
#>                        coregulate,plan                    consensus,discuss
#>                      consensus,discuss                      coregulate,plan
#>                     coregulate,discuss                    consensus,emotion
#>                      consensus,emotion                   coregulate,discuss
#>             cohesion,consensus,discuss                              emotion
#>                                emotion           cohesion,consensus,discuss
#>                coregulate,discuss,plan                              monitor
#>                                monitor              coregulate,discuss,plan
#>                               cohesion                         emotion,plan
#>                           emotion,plan                             cohesion
#>                                monitor       consensus,discuss,emotion,plan
#>         consensus,discuss,emotion,plan                              monitor
#>                        emotion,monitor                    consensus,discuss
#>                             coregulate                         discuss,plan
#>                           discuss,plan                           coregulate
#>                     cohesion,consensus                              emotion
#>                                emotion                   cohesion,consensus
#>                coregulate,discuss,plan                             cohesion
#>                               cohesion              coregulate,discuss,plan
#>                                monitor                 discuss,emotion,plan
#>                   discuss,emotion,plan                              monitor
#>                     coregulate,emotion                    consensus,discuss
#>                      consensus,discuss                   coregulate,emotion
#>                   consensus,coregulate                         emotion,plan
#>                           emotion,plan                 consensus,coregulate
#>                               cohesion                    consensus,emotion
#>                      consensus,emotion                             cohesion
#>                        discuss,monitor                           coregulate
#>                             coregulate                      discuss,monitor
#>           consensus,coregulate,monitor                              discuss
#>                       cohesion,discuss                              emotion
#>                                emotion                     cohesion,discuss
#>                coregulate,monitor,plan                              discuss
#>                 consensus,monitor,plan                           coregulate
#>                             coregulate               consensus,monitor,plan
#>                          cohesion,plan                           coregulate
#>                             coregulate                        cohesion,plan
#>                       cohesion,emotion               consensus,discuss,plan
#>                 consensus,discuss,plan                     cohesion,emotion
#>           consensus,coregulate,discuss                             cohesion
#>                               cohesion         consensus,coregulate,discuss
#>                           monitor,plan                 consensus,coregulate
#>                   consensus,coregulate                         monitor,plan
#>                             coregulate               consensus,emotion,plan
#>                 consensus,emotion,plan                           coregulate
#>                               cohesion                              emotion
#>                                emotion                             cohesion
#>                       cohesion,emotion                           coregulate
#>                             coregulate                     cohesion,emotion
#>                     cohesion,consensus                           coregulate
#>                             coregulate                   cohesion,consensus
#>                           discuss,plan                    consensus,emotion
#>                      consensus,emotion                         discuss,plan
#>                                monitor         consensus,coregulate,discuss
#>           consensus,coregulate,discuss                              monitor
#>              consensus,coregulate,plan                             cohesion
#>                               cohesion            consensus,coregulate,plan
#>          cohesion,consensus,coregulate                              discuss
#>                       cohesion,emotion                         discuss,plan
#>                           discuss,plan                     cohesion,emotion
#>                discuss,emotion,monitor                       consensus,plan
#>                     coregulate,discuss                             cohesion
#>                               cohesion                   coregulate,discuss
#>  cohesion,consensus,coregulate,emotion                              discuss
#>     cohesion,consensus,coregulate,plan                              discuss
#>                     coregulate,monitor                              discuss
#>                  cohesion,emotion,plan                    consensus,discuss
#>                      consensus,discuss                cohesion,emotion,plan
#>                        discuss,monitor                         emotion,plan
#>                           emotion,plan                      discuss,monitor
#>      consensus,coregulate,discuss,plan                              emotion
#>                                emotion    consensus,coregulate,discuss,plan
#>                                monitor               consensus,discuss,plan
#>                 consensus,discuss,plan                              monitor
#>         consensus,emotion,monitor,plan                              discuss
#>               cohesion,coregulate,plan                              discuss
#>             coregulate,discuss,emotion                       consensus,plan
#>                         consensus,plan           coregulate,discuss,emotion
#>       cohesion,coregulate,emotion,plan                              discuss
#>                        coregulate,plan                             cohesion
#>                               cohesion                      coregulate,plan
#>              consensus,emotion,monitor                              discuss
#>                                monitor                   coregulate,discuss
#>                     coregulate,discuss                              monitor
#>                      consensus,monitor                         emotion,plan
#>                           emotion,plan                    consensus,monitor
#>                                monitor                         discuss,plan
#>                           discuss,plan                              monitor
#>                          cohesion,plan                    consensus,discuss
#>                      consensus,discuss                        cohesion,plan
#>      consensus,coregulate,emotion,plan                              discuss
#>                                discuss    consensus,coregulate,emotion,plan
#>                                monitor            consensus,discuss,emotion
#>              consensus,discuss,emotion                              monitor
#>                                monitor            consensus,coregulate,plan
#>              consensus,coregulate,plan                              monitor
#>                coregulate,discuss,plan                              emotion
#>                                emotion              coregulate,discuss,plan
#>                    cohesion,coregulate                              discuss
#>                           monitor,plan                    consensus,discuss
#>                      consensus,discuss                         monitor,plan
#>                             coregulate                    consensus,emotion
#>                      consensus,emotion                           coregulate
#>            cohesion,coregulate,emotion                              discuss
#>                      consensus,monitor                           coregulate
#>                             coregulate                    consensus,monitor
#>              consensus,coregulate,plan                              emotion
#>                                emotion            consensus,coregulate,plan
#>                             coregulate                    consensus,discuss
#>                      consensus,discuss                           coregulate
#>                             coregulate                         emotion,plan
#>                           emotion,plan                           coregulate
#>                   emotion,monitor,plan                              discuss
#>                coregulate,emotion,plan                              discuss
#>                                discuss              coregulate,emotion,plan
#>                        discuss,monitor                    consensus,emotion
#>                      consensus,emotion                      discuss,monitor
#>            cohesion,coregulate,discuss                       consensus,plan
#>           consensus,coregulate,emotion                              discuss
#>                                discuss         consensus,coregulate,emotion
#>                               cohesion               consensus,discuss,plan
#>                 consensus,discuss,plan                             cohesion
#>                                monitor                      coregulate,plan
#>                        coregulate,plan                              monitor
#>         consensus,discuss,monitor,plan                              emotion
#>              consensus,coregulate,plan                              discuss
#>                                discuss            consensus,coregulate,plan
#>                           monitor,plan                    consensus,emotion
#>                      consensus,emotion                         monitor,plan
#>                                monitor                      discuss,emotion
#>                        discuss,emotion                              monitor
#>                           monitor,plan                           coregulate
#>                             coregulate                         monitor,plan
#>            cohesion,coregulate,emotion                       consensus,plan
#>                        coregulate,plan                              emotion
#>                                emotion                      coregulate,plan
#>                        emotion,monitor                       consensus,plan
#>                     coregulate,monitor                       consensus,plan
#>           consensus,coregulate,discuss                              emotion
#>                                emotion         consensus,coregulate,discuss
#>                               cohesion                         discuss,plan
#>                           discuss,plan                             cohesion
#>                               cohesion                 consensus,coregulate
#>                   consensus,coregulate                             cohesion
#>                    cohesion,coregulate                       consensus,plan
#>                        emotion,monitor                              discuss
#>                        coregulate,plan                              discuss
#>                                discuss                      coregulate,plan
#>                   discuss,monitor,plan                              emotion
#>                     coregulate,emotion                       consensus,plan
#>                         consensus,plan                   coregulate,emotion
#>                 consensus,monitor,plan                              discuss
#>                                discuss               consensus,monitor,plan
#>                     coregulate,emotion                              discuss
#>                                discuss                   coregulate,emotion
#>                   consensus,coregulate                              discuss
#>                                discuss                 consensus,coregulate
#>                     coregulate,discuss                              emotion
#>                                emotion                   coregulate,discuss
#>               cohesion,discuss,emotion                       consensus,plan
#>                        discuss,emotion                       consensus,plan
#>                         consensus,plan                      discuss,emotion
#>             cohesion,consensus,emotion                              discuss
#>                                discuss           cohesion,consensus,emotion
#>                       cohesion,emotion                    consensus,discuss
#>                      consensus,discuss                     cohesion,emotion
#>                     coregulate,discuss                       consensus,plan
#>                         consensus,plan                   coregulate,discuss
#>        cohesion,consensus,emotion,plan                              discuss
#>                cohesion,consensus,plan                              discuss
#>                                discuss              cohesion,consensus,plan
#>                           emotion,plan                    consensus,discuss
#>                      consensus,discuss                         emotion,plan
#>                      consensus,monitor                              discuss
#>                                discuss                    consensus,monitor
#>                               cohesion                           coregulate
#>                             coregulate                             cohesion
#>                   consensus,coregulate                              emotion
#>                                emotion                 consensus,coregulate
#>                 consensus,discuss,plan                              emotion
#>                                emotion               consensus,discuss,plan
#>                     cohesion,consensus                              discuss
#>                                discuss                   cohesion,consensus
#>      consensus,discuss,emotion,monitor                                 plan
#>                                monitor                 consensus,coregulate
#>                   consensus,coregulate                              monitor
#>                                monitor               consensus,emotion,plan
#>                 consensus,emotion,plan                              monitor
#>              consensus,emotion,monitor                                 plan
#>              consensus,discuss,monitor                              emotion
#>                 consensus,monitor,plan                              emotion
#>                                emotion               consensus,monitor,plan
#>                  cohesion,emotion,plan                              discuss
#>                                discuss                cohesion,emotion,plan
#>                        discuss,monitor                       consensus,plan
#>                discuss,emotion,monitor                                 plan
#>                                monitor                    consensus,discuss
#>                      consensus,discuss                              monitor
#>                             coregulate                              discuss
#>                                discuss                           coregulate
#>                               cohesion                    consensus,discuss
#>                      consensus,discuss                             cohesion
#>   consensus,coregulate,discuss,emotion                                 plan
#>                           discuss,plan                              emotion
#>                                emotion                         discuss,plan
#>                             coregulate                              emotion
#>                                emotion                           coregulate
#>                          cohesion,plan                              discuss
#>                                discuss                        cohesion,plan
#>                           monitor,plan                              discuss
#>                                discuss                         monitor,plan
#>           consensus,coregulate,monitor                                 plan
#>  cohesion,consensus,coregulate,emotion                                 plan
#>                                monitor                           coregulate
#>                             coregulate                              monitor
#>                                monitor                         emotion,plan
#>                           emotion,plan                              monitor
#>             coregulate,discuss,emotion                                 plan
#>             coregulate,discuss,monitor                                 plan
#>                       cohesion,discuss                       consensus,plan
#>                         consensus,plan                     cohesion,discuss
#>                                monitor                   cohesion,consensus
#>                     cohesion,consensus                              monitor
#>          cohesion,consensus,coregulate                                 plan
#>                      consensus,monitor                             cohesion
#>                               cohesion                    consensus,monitor
#>  cohesion,consensus,coregulate,discuss                                 plan
#>                        emotion,monitor                                 plan
#>           consensus,coregulate,emotion                                 plan
#>                                   plan         consensus,coregulate,emotion
#>    cohesion,coregulate,discuss,emotion                                 plan
#>                 consensus,emotion,plan                              discuss
#>                                discuss               consensus,emotion,plan
#>             cohesion,consensus,emotion                                 plan
#>                                   plan           cohesion,consensus,emotion
#>     cohesion,consensus,discuss,emotion                                 plan
#>                       cohesion,emotion                       consensus,plan
#>                         consensus,plan                     cohesion,emotion
#>                           monitor,plan                              emotion
#>                                emotion                         monitor,plan
#>                        discuss,monitor                              emotion
#>              consensus,discuss,monitor                                 plan
#>              consensus,discuss,emotion                                 plan
#>                                   plan            consensus,discuss,emotion
#>            cohesion,coregulate,discuss                                 plan
#>                       cohesion,emotion                              discuss
#>                                discuss                     cohesion,emotion
#>            cohesion,coregulate,emotion                                 plan
#>                             coregulate                       consensus,plan
#>                         consensus,plan                           coregulate
#>                     coregulate,monitor                                 plan
#>                                monitor                              discuss
#>                                discuss                              monitor
#>        coregulate,discuss,emotion,plan                            consensus
#>           consensus,coregulate,discuss                                 plan
#>                                   plan         consensus,coregulate,discuss
#>                               cohesion                              discuss
#>                                discuss                             cohesion
#>                    cohesion,coregulate                                 plan
#>       cohesion,coregulate,discuss,plan                            consensus
#>           discuss,emotion,monitor,plan                            consensus
#>                     coregulate,emotion                                 plan
#>                                   plan                   coregulate,emotion
#>                      consensus,monitor                                 plan
#>                                   plan                    consensus,monitor
#>                      consensus,monitor                              emotion
#>                                emotion                    consensus,monitor
#>                      consensus,emotion                              discuss
#>                                discuss                    consensus,emotion
#>       cohesion,coregulate,emotion,plan                            consensus
#>                   discuss,emotion,plan                            consensus
#>                              consensus                 discuss,emotion,plan
#>                coregulate,monitor,plan                            consensus
#>               cohesion,coregulate,plan                            consensus
#>             coregulate,discuss,emotion                            consensus
#>                                monitor                    consensus,emotion
#>                      consensus,emotion                              monitor
#>                coregulate,emotion,plan                            consensus
#>                              consensus              coregulate,emotion,plan
#>                coregulate,discuss,plan                            consensus
#>                              consensus              coregulate,discuss,plan
#>             cohesion,consensus,discuss                                 plan
#>                                   plan           cohesion,consensus,discuss
#>    cohesion,coregulate,discuss,emotion                            consensus
#>             coregulate,discuss,monitor                            consensus
#>               cohesion,discuss,emotion                                 plan
#>                     cohesion,consensus                                 plan
#>                                   plan                   cohesion,consensus
#>          cohesion,discuss,emotion,plan                            consensus
#>                      consensus,emotion                                 plan
#>                                   plan                    consensus,emotion
#>            cohesion,coregulate,discuss                            consensus
#>                  cohesion,discuss,plan                            consensus
#>                discuss,emotion,monitor                            consensus
#>                     coregulate,discuss                                 plan
#>                                   plan                   coregulate,discuss
#>                        discuss,emotion                                 plan
#>                                   plan                      discuss,emotion
#>                   discuss,monitor,plan                            consensus
#>                                emotion                    consensus,discuss
#>                      consensus,discuss                              emotion
#>                   emotion,monitor,plan                            consensus
#>                   consensus,coregulate                                 plan
#>                                   plan                 consensus,coregulate
#>                                monitor                             cohesion
#>                               cohesion                              monitor
#>                        coregulate,plan                            consensus
#>                              consensus                      coregulate,plan
#>                                monitor                       consensus,plan
#>                         consensus,plan                              monitor
#>                           emotion,plan                              discuss
#>                                discuss                         emotion,plan
#>                        discuss,monitor                                 plan
#>                  cohesion,emotion,plan                            consensus
#>                           discuss,plan                            consensus
#>                              consensus                         discuss,plan
#>                                emotion                       consensus,plan
#>                         consensus,plan                              emotion
#>                     coregulate,discuss                            consensus
#>                              consensus                   coregulate,discuss
#>            cohesion,coregulate,emotion                            consensus
#>                               cohesion                       consensus,plan
#>                         consensus,plan                             cohesion
#>                    cohesion,coregulate                            consensus
#>                     coregulate,monitor                            consensus
#>                     coregulate,emotion                            consensus
#>                              consensus                   coregulate,emotion
#>                        discuss,emotion                            consensus
#>                              consensus                      discuss,emotion
#>                          cohesion,plan                            consensus
#>                              consensus                        cohesion,plan
#>               cohesion,discuss,emotion                            consensus
#>                           emotion,plan                            consensus
#>                              consensus                         emotion,plan
#>                       cohesion,discuss                                 plan
#>                                   plan                     cohesion,discuss
#>                       cohesion,emotion                                 plan
#>                                   plan                     cohesion,emotion
#>                        emotion,monitor                            consensus
#>                       cohesion,discuss                            consensus
#>                              consensus                     cohesion,discuss
#>                                monitor                                 plan
#>                                   plan                              monitor
#>                        discuss,monitor                            consensus
#>                             coregulate                                 plan
#>                                   plan                           coregulate
#>                             coregulate                            consensus
#>                              consensus                           coregulate
#>                           monitor,plan                            consensus
#>                       cohesion,monitor                            consensus
#>                                monitor                              emotion
#>                                emotion                              monitor
#>                      consensus,discuss                                 plan
#>                                   plan                    consensus,discuss
#>                                discuss                       consensus,plan
#>                         consensus,plan                              discuss
#>                                emotion                                 plan
#>                                   plan                              emotion
#>                                emotion                              discuss
#>                                discuss                              emotion
#>                               cohesion                                 plan
#>                                   plan                             cohesion
#>                                   plan                            consensus
#>                              consensus                                 plan
#>                                discuss                            consensus
#>                              consensus                              discuss
#>                       cohesion,emotion                            consensus
#>                              consensus                     cohesion,emotion
#>                                emotion                            consensus
#>                              consensus                              emotion
#>                                monitor                            consensus
#>                              consensus                              monitor
#>                               cohesion                            consensus
#>                              consensus                             cohesion
#>                                discuss                                 plan
#>                                   plan                              discuss
#>  support confidence   lift conviction count
#>   0.3020     0.7724 1.3646     1.9067   604
#>   0.3020     0.5336 1.3646     1.3057   604
#>   0.3155     0.8069 1.3539     2.0922   631
#>   0.3155     0.5294 1.3539     1.2940   631
#>   0.3155     0.8270 1.3524     2.2456   631
#>   0.3155     0.5159 1.3524     1.2777   631
#>   0.3020     0.8263 1.3512     2.2362   604
#>   0.3020     0.6719 1.3478     1.5283   604
#>   0.3020     0.6058 1.3478     1.3966   604
#>   0.3195     0.8171 1.3363     2.1245   639
#>   0.3195     0.5225 1.3363     1.2754   639
#>   0.3155     0.6621 1.3282     1.4843   631
#>   0.3155     0.6329 1.3282     1.4260   631
#>   0.3020     0.6809 1.3248     1.5233   604
#>   0.3020     0.5875 1.3248     1.3493   604
#>   0.3155     0.7114 1.3198     1.5973   631
#>   0.3155     0.5853 1.3198     1.3421   631
#>   0.3020     0.6495 1.3174     1.4463   604
#>   0.3020     0.6126 1.3174     1.3809   604
#>   0.3155     0.6492 1.3168     1.4452   631
#>   0.3155     0.6400 1.3168     1.4276   631
#>   0.3275     0.6570 1.3126     1.4561   655
#>   0.3275     0.6543 1.3126     1.4509   655
#>   0.3275     0.6739 1.3110     1.4902   655
#>   0.3275     0.6372 1.3110     1.4166   655
#>   0.3275     0.7043 1.3067     1.5590   655
#>   0.3275     0.6076 1.3067     1.3634   655
#>   0.3195     0.6481 1.3000     1.4250   639
#>   0.3195     0.6409 1.3000     1.4120   639
#>   0.3275     0.8376 1.2946     2.1736   655
#>   0.3275     0.5062 1.2946     1.2332   655
#>   0.3310     0.6640 1.2918     1.4464   662
#>   0.3310     0.6440 1.2918     1.4086   662
#>   0.3930     0.7291 1.2882     1.6022   786
#>   0.3930     0.6943 1.2882     1.5082   786
#>   0.3275     0.8960 1.2856     2.9144   655
#>   0.3275     0.8585 1.2851     2.3455   655
#>   0.3930     0.7852 1.2841     1.8088   786
#>   0.3930     0.6427 1.2841     1.3979   786
#>   0.3930     0.7646 1.2829     1.7162   786
#>   0.3930     0.6594 1.2829     1.4269   786
#>   0.3445     0.6911 1.2821     1.4923   689
#>   0.3445     0.6391 1.2821     1.3898   689
#>   0.3020     0.7040 1.2788     1.5184   604
#>   0.3020     0.5486 1.2788     1.2649   604
#>   0.3155     0.8887 1.2751     2.7232   631
#>   0.4180     0.7593 1.2740     1.6785   836
#>   0.4180     0.7013 1.2740     1.5051   836
#>   0.3020     0.8507 1.2735     2.2238   604
#>   0.3425     0.8760 1.2723     2.5113   685
#>   0.3985     0.7753 1.2679     1.7289   797
#>   0.3985     0.6517 1.2679     1.3953   797
#>   0.3310     0.8465 1.2673     2.1635   662
#>   0.4175     0.7746 1.2667     1.7235   835
#>   0.4175     0.6827 1.2667     1.4531   835
#>   0.4180     0.7741 1.2659     1.7196   836
#>   0.4180     0.6836 1.2659     1.4537   836
#>   0.3445     0.8811 1.2641     2.5478   689
#>   0.4180     0.7385 1.2635     1.5890   836
#>   0.4180     0.7151 1.2635     1.5236   836
#>   0.3275     0.6953 1.2631     1.4754   655
#>   0.3275     0.5949 1.2631     1.3059   655
#>   0.3310     0.6946 1.2619     1.4721   662
#>   0.3310     0.6013 1.2619     1.3129   662
#>   0.3310     0.8676 1.2602     2.3532   662
#>   0.3015     0.8676 1.2602     2.3532   603
#>   0.3310     0.7364 1.2598     1.5761   662
#>   0.3310     0.5663 1.2598     1.2693   662
#>   0.3155     0.6699 1.2591     1.4175   631
#>   0.3155     0.5930 1.2591     1.2999   631
#>   0.3155     0.7354 1.2582     1.5705   631
#>   0.3155     0.5398 1.2582     1.2407   631
#>   0.3425     0.8478 1.2578     2.1415   685
#>   0.3425     0.5082 1.2578     1.2118   685
#>   0.3310     0.8465 1.2560     2.1244   662
#>   0.3930     0.8743 1.2544     2.4106   786
#>   0.3930     0.5638 1.2544     1.2622   786
#>   0.3195     0.7204 1.2540     1.5218   639
#>   0.3195     0.5561 1.2540     1.2538   639
#>   0.3155     0.7195 1.2524     1.5169   631
#>   0.3155     0.5492 1.2524     1.2455   631
#>   0.3020     0.6659 1.2518     1.4009   604
#>   0.3020     0.5677 1.2518     1.2641   604
#>   0.3020     0.7182 1.2501     1.5099   604
#>   0.3020     0.5257 1.2501     1.2217   604
#>   0.3020     0.7578 1.2495     1.6250   604
#>   0.4180     0.8601 1.2492     2.2263   836
#>   0.4180     0.6071 1.2492     1.3083   836
#>   0.4205     0.7639 1.2491     1.6451   841
#>   0.4205     0.6877 1.2491     1.4391   841
#>   0.3310     0.6721 1.2469     1.4058   662
#>   0.3310     0.6141 1.2469     1.3151   662
#>   0.3155     0.7557 1.2460     1.6106   631
#>   0.3155     0.5202 1.2460     1.2140   631
#>   0.3020     0.8567 1.2444     2.1743   604
#>   0.4180     0.8385 1.2441     2.0188   836
#>   0.4180     0.6202 1.2441     1.3204   836
#>   0.3425     0.7040 1.2438     1.4663   685
#>   0.3425     0.6051 1.2438     1.3004   685
#>   0.3310     0.6714 1.2433     1.3999   662
#>   0.3310     0.6130 1.2433     1.3100   662
#>   0.3310     0.6613 1.2431     1.3819   662
#>   0.3310     0.6222 1.2431     1.3221   662
#>   0.3455     0.8552 1.2421     2.1512   691
#>   0.3455     0.5018 1.2421     1.1963   691
#>   0.3275     0.7127 1.2406     1.4812   655
#>   0.3275     0.5701 1.2406     1.2572   655
#>   0.4440     0.8638 1.2393     2.2249   888
#>   0.4440     0.6370 1.2393     1.3389   888
#>   0.3310     0.7118 1.2390     1.4765   662
#>   0.3310     0.5762 1.2390     1.2622   662
#>   0.3335     0.8529 1.2388     2.1182   667
#>   0.3310     0.6440 1.2384     1.3482   662
#>   0.3310     0.6365 1.2384     1.3371   662
#>   0.3275     0.7222 1.2355     1.4955   655
#>   0.3275     0.5603 1.2355     1.2429   655
#>   0.3425     0.7552 1.2351     1.5873   685
#>   0.3425     0.5601 1.2351     1.2423   685
#>   0.3930     0.8248 1.2347     1.8946   786
#>   0.3930     0.5883 1.2347     1.2716   786
#>   0.3445     0.7088 1.2339     1.4614   689
#>   0.3445     0.5997 1.2339     1.2839   689
#>   0.4440     0.8237 1.2332     1.8837   888
#>   0.4440     0.6647 1.2332     1.3748   888
#>   0.3020     0.6132 1.2326     1.2991   604
#>   0.3020     0.6070 1.2326     1.2915   604
#>   0.3930     0.7972 1.2321     1.7403   786
#>   0.3930     0.6074 1.2321     1.2915   786
#>   0.3310     0.7472 1.2320     1.5564   662
#>   0.3310     0.5458 1.2320     1.2262   662
#>   0.3525     0.7071 1.2308     1.4528   705
#>   0.3525     0.6136 1.2308     1.2978   705
#>   0.4180     0.7464 1.2307     1.5518   836
#>   0.4180     0.6892 1.2307     1.4157   836
#>   0.3335     0.6765 1.2288     1.3894   667
#>   0.3335     0.6058 1.2288     1.2862   667
#>   0.3015     0.6760 1.2280     1.3874   603
#>   0.3015     0.5477 1.2280     1.2248   603
#>   0.3195     0.7448 1.2280     1.5417   639
#>   0.3195     0.5268 1.2280     1.2067   639
#>   0.4385     0.7502 1.2268     1.5553   877
#>   0.4385     0.7171 1.2268     1.4687   877
#>   0.3985     0.7041 1.2255     1.4378   797
#>   0.3985     0.6936 1.2255     1.4167   797
#>   0.4205     0.8435 1.2252     1.9908   841
#>   0.4205     0.6107 1.2252     1.2884   841
#>   0.4205     0.7429 1.2250     1.5307   841
#>   0.4205     0.6933 1.2250     1.4152   841
#>   0.3335     0.7419 1.2233     1.5248   667
#>   0.3335     0.5499 1.2233     1.2230   667
#>   0.3275     0.9059 1.2226     2.7538   655
#>   0.3310     0.9056 1.2221     2.7439   662
#>   0.3020     0.9055 1.2221     2.7421   604
#>   0.3930     0.7018 1.2216     1.4268   786
#>   0.3930     0.6841 1.2216     1.3927   786
#>   0.4290     0.7467 1.2212     1.5340   858
#>   0.4290     0.7016 1.2212     1.4257   858
#>   0.3500     0.6579 1.2206     1.3475   700
#>   0.3500     0.6494 1.2206     1.3347   700
#>   0.3425     0.7272 1.2201     1.4808   685
#>   0.3425     0.5747 1.2201     1.2437   685
#>   0.3335     0.6488 1.2196     1.3327   667
#>   0.3335     0.6269 1.2196     1.3025   667
#>   0.3155     0.6342 1.2196     1.3121   631
#>   0.3155     0.6067 1.2196     1.2778   631
#>   0.4175     0.7267 1.2193     1.4783   835
#>   0.4175     0.7005 1.2193     1.4207   835
#>   0.3275     0.6583 1.2191     1.3462   655
#>   0.3275     0.6065 1.2191     1.2769   655
#>   0.3445     0.9030 1.2186     2.6705   689
#>   0.3615     0.6707 1.2183     1.3650   723
#>   0.3615     0.6567 1.2183     1.3428   723
#>   0.4180     0.8487 1.2177     2.0031   836
#>   0.4180     0.5997 1.2177     1.2678   836
#>   0.3525     0.9015 1.2166     2.6304   705
#>   0.3155     0.9014 1.2165     2.6275   631
#>   0.3275     0.7376 1.2162     1.4997   655
#>   0.3275     0.5400 1.2162     1.2087   655
#>   0.4175     0.8469 1.2150     1.9785   835
#>   0.4175     0.5990 1.2150     1.2643   835
#>   0.3500     0.7099 1.2146     1.4325   700
#>   0.3500     0.5988 1.2146     1.2637   700
#>   0.3195     0.9000 1.2146     2.5900   639
#>   0.4180     0.7857 1.2144     1.6473   836
#>   0.4180     0.6461 1.2144     1.3223   836
#>   0.3140     0.6454 1.2132     1.3199   628
#>   0.3140     0.5902 1.2132     1.2531   628
#>   0.4385     0.7357 1.2131     1.4891   877
#>   0.4385     0.7230 1.2131     1.4585   877
#>   0.3310     0.9056 1.2123     2.6803   662
#>   0.3930     0.8344 1.2119     1.8810   786
#>   0.3930     0.5708 1.2119     1.2325   786
#>   0.3500     0.7345 1.2111     1.4822   700
#>   0.3500     0.5771 1.2111     1.2378   700
#>   0.3985     0.8083 1.2101     1.7320   797
#>   0.3985     0.5966 1.2101     1.2567   797
#>   0.3140     0.9036 1.2096     2.6244   628
#>   0.4865     0.8323 1.2089     1.8579   973
#>   0.4865     0.7066 1.2089     1.4162   973
#>   0.3310     0.6653 1.2086     1.3431   662
#>   0.3310     0.6013 1.2086     1.2603   662
#>   0.3015     0.7327 1.2081     1.4720   603
#>   0.4045     0.8314 1.2076     1.8481   809
#>   0.4045     0.5875 1.2076     1.2449   809
#>   0.3195     0.6422 1.2072     1.3080   639
#>   0.3195     0.6006 1.2072     1.2580   639
#>   0.3445     0.7314 1.2060     1.4651   689
#>   0.3445     0.5680 1.2060     1.2246   689
#>   0.3140     0.7040 1.2045     1.4039   628
#>   0.3140     0.5372 1.2045     1.1971   628
#>   0.3225     0.6629 1.2042     1.3334   645
#>   0.3225     0.5858 1.2042     1.2398   645
#>   0.3310     0.7299 1.2034     1.4568   662
#>   0.3310     0.5458 1.2034     1.2031   662
#>   0.4180     0.8989 1.2034     2.5031   836
#>   0.4180     0.5596 1.2034     1.2147   836
#>   0.4180     0.8038 1.2034     1.6925   836
#>   0.4180     0.6257 1.2034     1.2826   836
#>   0.3615     0.7033 1.2033     1.4004   723
#>   0.3615     0.6185 1.2033     1.2738   723
#>   0.3015     0.6401 1.2032     1.3005   603
#>   0.3015     0.5667 1.2032     1.2209   603
#>   0.3140     0.7294 1.2026     1.4541   628
#>   0.3140     0.5177 1.2026     1.1809   628
#>   0.3425     0.8966 1.2003     2.4467   685
#>   0.3455     0.7335 1.1996     1.4580   691
#>   0.3455     0.5650 1.1996     1.2161   691
#>   0.3500     0.8951 1.1983     2.4128   700
#>   0.3155     0.8950 1.1982     2.4103   631
#>   0.4595     0.8347 1.1976     1.8330   919
#>   0.4595     0.6593 1.1976     1.3192   919
#>   0.3930     0.8871 1.1972     2.2947   786
#>   0.3930     0.5304 1.1972     1.1860   786
#>   0.4440     0.8871 1.1972     2.2943   888
#>   0.4440     0.5992 1.1972     1.2462   888
#>   0.3560     0.7318 1.1967     1.4483   712
#>   0.3560     0.5822 1.1967     1.2290   712
#>   0.3985     0.8865 1.1964     2.2828   797
#>   0.3985     0.5378 1.1964     1.1910   797
#>   0.4435     0.7312 1.1958     1.4456   887
#>   0.4435     0.7253 1.1958     1.4323   887
#>   0.4440     0.7728 1.1945     1.5540   888
#>   0.4440     0.6862 1.1945     1.3562   888
#>   0.3425     0.8323 1.1941     1.8070   685
#>   0.4430     0.8219 1.1937     1.7489   886
#>   0.4430     0.6434 1.1937     1.2929   886
#>   0.3425     0.7956 1.1910     1.6242   685
#>   0.3425     0.5127 1.1910     1.1687   685
#>   0.3615     0.7223 1.1909     1.4169   723
#>   0.3615     0.5960 1.1909     1.2365   723
#>   0.4535     0.8823 1.1907     2.2004   907
#>   0.4535     0.6120 1.1907     1.2526   907
#>   0.4865     0.8021 1.1901     1.6477   973
#>   0.4865     0.7218 1.1901     1.4145   973
#>   0.3550     0.7201 1.1873     1.4058   710
#>   0.3550     0.5853 1.1873     1.2226   710
#>   0.3425     0.7679 1.1869     1.5211   685
#>   0.3425     0.5294 1.1869     1.1771   685
#>   0.3445     0.6925 1.1847     1.3511   689
#>   0.3445     0.5894 1.1847     1.2238   689
#>   0.3310     0.6804 1.1843     1.3312   662
#>   0.3310     0.5762 1.1843     1.2115   662
#>   0.4205     0.7904 1.1833     1.5841   841
#>   0.4205     0.6295 1.1833     1.2631   841
#>   0.4865     0.8837 1.1831     2.1762   973
#>   0.4865     0.6513 1.1831     1.2890   973
#>   0.4385     0.8242 1.1826     1.7240   877
#>   0.4385     0.6291 1.1826     1.2619   877
#>   0.4175     0.8762 1.1824     2.0918   835
#>   0.4175     0.5634 1.1824     1.1991   835
#>   0.3015     0.6122 1.1818     1.2429   603
#>   0.3015     0.5820 1.1818     1.2142   603
#>   0.4535     0.7894 1.1817     1.5763   907
#>   0.4535     0.6789 1.1817     1.3251   907
#>   0.3425     0.6612 1.1807     1.2987   685
#>   0.3425     0.6116 1.1807     1.2410   685
#>   0.3560     0.8812 1.1796     2.1294   712
#>   0.4925     0.8120 1.1794     1.6572   985
#>   0.4925     0.7153 1.1794     1.3823   985
#>   0.4710     0.8738 1.1793     2.0530   942
#>   0.4710     0.6356 1.1793     1.2652   942
#>   0.3335     0.6772 1.1787     1.3180   667
#>   0.3335     0.5805 1.1787     1.2098   667
#>   0.3455     0.6670 1.1784     1.3033   691
#>   0.3455     0.6104 1.1784     1.2372   691
#>   0.4385     0.8796 1.1776     2.1020   877
#>   0.4385     0.5870 1.1776     1.2143   877
#>   0.4595     0.7861 1.1769     1.5524   919
#>   0.4595     0.6879 1.1769     1.3312   919
#>   0.4710     0.8198 1.1762     1.6819   942
#>   0.4710     0.6758 1.1762     1.3123   942
#>   0.3180     0.7130 1.1756     1.3711   636
#>   0.3180     0.5243 1.1756     1.1646   636
#>   0.3140     0.9263 1.1747     2.8679   628
#>   0.4290     0.8702 1.1743     1.9951   858
#>   0.4290     0.5789 1.1743     1.2041   858
#>   0.3015     0.9248 1.1729     2.8142   603
#>   0.3225     0.7111 1.1725     1.3622   645
#>   0.3225     0.5317 1.1725     1.1671   645
#>   0.3655     0.7111 1.1724     1.3620   731
#>   0.3655     0.6026 1.1724     1.2231   731
#>   0.3930     0.7899 1.1720     1.5520   786
#>   0.3930     0.5831 1.1720     1.2053   786
#>   0.3500     0.6731 1.1716     1.3015   700
#>   0.3500     0.6092 1.1716     1.2283   700
#>   0.3225     0.6847 1.1715     1.3178   645
#>   0.3225     0.5518 1.1715     1.1802   645
#>   0.4595     0.7576 1.1710     1.4564   919
#>   0.4595     0.7102 1.1710     1.3578   919
#>   0.4975     0.8660 1.1687     1.9324   995
#>   0.4975     0.6714 1.1687     1.2948   995
#>   0.3525     0.7085 1.1682     1.3501   705
#>   0.3525     0.5812 1.1682     1.1999   705
#>   0.3815     0.7078 1.1670     1.3466   763
#>   0.3815     0.6290 1.1670     1.2427   763
#>   0.5600     0.8134 1.1669     1.6235  1120
#>   0.5600     0.8034 1.1669     1.5848  1120
#>   0.3140     0.6062 1.1657     1.2188   628
#>   0.3140     0.6038 1.1657     1.2167   628
#>   0.3615     0.6694 1.1653     1.2872   723
#>   0.3615     0.6292 1.1653     1.2407   723
#>   0.3500     0.9174 1.1635     2.5615   700
#>   0.3985     0.8010 1.1634     1.5654   797
#>   0.3985     0.5788 1.1634     1.1930   797
#>   0.3425     0.9474 1.1632     3.5294   685
#>   0.3550     0.6673 1.1615     1.2789   710
#>   0.3550     0.6179 1.1615     1.2249   710
#>   0.3155     0.9158 1.1615     2.5125   631
#>   0.3310     0.9156 1.1612     2.5068   662
#>   0.3180     0.9151 1.1606     2.4914   636
#>   0.3930     0.8666 1.1601     1.8965   786
#>   0.3930     0.5261 1.1601     1.1532   786
#>   0.3455     0.7747 1.1597     1.4734   691
#>   0.3455     0.5172 1.1597     1.1475   691
#>   0.4180     0.8592 1.1595     1.8395   836
#>   0.4180     0.5641 1.1595     1.1780   836
#>   0.4045     0.7809 1.1586     1.4878   809
#>   0.4045     0.6001 1.1586     1.2054   809
#>   0.3425     0.9133 1.1583     2.4404   685
#>   0.3335     0.9124 1.1572     2.4157   667
#>   0.4180     0.9425 1.1572     3.2262   836
#>   0.4180     0.5132 1.1572     1.1432   836
#>   0.3020     0.9124 1.1571     2.4140   604
#>   0.3655     0.6639 1.1557     1.2662   731
#>   0.3655     0.6362 1.1557     1.2356   731
#>   0.3560     0.9105 1.1547     2.3628   712
#>   0.3180     0.6139 1.1539     1.2121   636
#>   0.3180     0.5977 1.1539     1.1982   636
#>   0.3750     0.7708 1.1539     1.4486   750
#>   0.3750     0.5614 1.1539     1.1707   750
#>   0.4115     0.7944 1.1538     1.5151   823
#>   0.4115     0.5977 1.1538     1.1980   823
#>   0.4430     0.8619 1.1538     1.8316   886
#>   0.4430     0.5930 1.1538     1.1942   886
#>   0.4180     0.9097 1.1537     2.3418   836
#>   0.4180     0.5301 1.1537     1.1503   836
#>   0.3560     0.6873 1.1531     1.2918   712
#>   0.3560     0.5973 1.1531     1.1970   712
#>   0.3225     0.6226 1.1529     1.2188   645
#>   0.3225     0.5972 1.1529     1.1967   645
#>   0.4205     0.8538 1.1522     1.7716   841
#>   0.4205     0.5675 1.1522     1.1733   841
#>   0.3550     0.9079 1.1515     2.2971   710
#>   0.4045     0.8588 1.1497     1.7919   809
#>   0.4045     0.5415 1.1497     1.1538   809
#>   0.4860     0.8013 1.1497     1.5251   972
#>   0.4860     0.6973 1.1497     1.2999   972
#>   0.3195     0.9064 1.1495     2.2592   639
#>   0.3390     0.6968 1.1489     1.2979   678
#>   0.3390     0.5589 1.1489     1.1643   678
#>   0.4595     0.8509 1.1483     1.7374   919
#>   0.4595     0.6201 1.1483     1.2109   919
#>   0.5200     0.8574 1.1478     1.7739  1040
#>   0.5200     0.6961 1.1478     1.2949  1040
#>   0.4650     0.7667 1.1477     1.4230   930
#>   0.4650     0.6961 1.1477     1.2949   930
#>   0.3455     0.9045 1.1471     2.2135   691
#>   0.4205     0.9043 1.1469     2.2101   841
#>   0.4205     0.5333 1.1469     1.1463   841
#>   0.3560     0.7982 1.1452     1.5015   712
#>   0.3560     0.5108 1.1452     1.1324   712
#>   0.3310     0.9324 1.1447     2.7439   662
#>   0.4385     0.9023 1.1443     2.1640   877
#>   0.4385     0.5561 1.1443     1.1580   877
#>   0.4430     0.7711 1.1441     1.4242   886
#>   0.4430     0.6573 1.1441     1.2415   886
#>   0.3260     0.6293 1.1432     1.2127   652
#>   0.3260     0.5922 1.1432     1.1819   652
#>   0.3425     0.8467 1.1427     1.6898   685
#>   0.4865     0.9009 1.1426     2.1348   973
#>   0.4865     0.6170 1.1426     1.2010   973
#>   0.3750     0.7962 1.1423     1.4866   750
#>   0.3750     0.5380 1.1423     1.1451   750
#>   0.3615     0.6979 1.1413     1.2859   723
#>   0.3615     0.5912 1.1413     1.1790   723
#>   0.3260     0.6921 1.1412     1.2782   652
#>   0.3260     0.5375 1.1412     1.1438   652
#>   0.3275     0.9291 1.1407     2.6156   655
#>   0.4650     0.8447 1.1399     1.6676   930
#>   0.4650     0.6275 1.1399     1.2068   930
#>   0.3750     0.9282 1.1396     2.5842   750
#>   0.3225     0.9281 1.1394     2.5785   645
#>   0.4385     0.8433 1.1380     1.6525   877
#>   0.4385     0.5918 1.1380     1.1758   877
#>   0.4495     0.7824 1.1364     1.4317   899
#>   0.4495     0.6529 1.1364     1.2258   899
#>   0.3815     0.6641 1.1361     1.2368   763
#>   0.3815     0.6527 1.1361     1.2251   763
#>   0.3615     0.9246 1.1351     2.4587   723
#>   0.3615     0.8948 1.1348     2.0105   723
#>   0.4925     0.8946 1.1346     2.0074   985
#>   0.4925     0.6246 1.1346     1.1974   985
#>   0.3455     0.8396 1.1331     1.6148   691
#>   0.4595     0.9218 1.1317     2.3711   919
#>   0.4595     0.5641 1.1317     1.1506   919
#>   0.4045     0.8920 1.1312     1.9575   809
#>   0.4045     0.5130 1.1312     1.1222   809
#>   0.4435     0.8897 1.1283     1.9170   887
#>   0.4435     0.5625 1.1283     1.1462   887
#>   0.5200     0.8896 1.1283     1.9166  1040
#>   0.5200     0.6595 1.1283     1.2202  1040
#>   0.4435     0.8336 1.1250     1.5569   887
#>   0.4435     0.5985 1.1250     1.1657   887
#>   0.3930     0.9161 1.1247     2.2105   786
#>   0.5600     0.9158 1.1243     2.2026  1120
#>   0.5600     0.6875 1.1243     1.2434  1120
#>   0.4175     0.8864 1.1242     1.8620   835
#>   0.4175     0.5295 1.1242     1.1243   835
#>   0.4175     0.8392 1.1234     1.5733   835
#>   0.4175     0.5589 1.1234     1.1392   835
#>   0.4865     0.9145 1.1227     2.1689   973
#>   0.4865     0.5973 1.1227     1.1622   973
#>   0.3930     0.8851 1.1226     1.8413   786
#>   0.4430     0.8851 1.1225     1.8410   886
#>   0.4430     0.5618 1.1225     1.1400   886
#>   0.5600     0.8383 1.1223     1.5649  1120
#>   0.5600     0.7497 1.1223     1.3262  1120
#>   0.4305     0.8849 1.1222     1.8374   861
#>   0.4305     0.5460 1.1222     1.1310   861
#>   0.3910     0.6806 1.1222     1.2320   782
#>   0.3910     0.6447 1.1222     1.1975   782
#>   0.4860     0.8315 1.1221     1.5369   972
#>   0.4860     0.6559 1.1221     1.2074   972
#>   0.5600     0.8309 1.1213     1.5313  1120
#>   0.5600     0.7557 1.1213     1.3346  1120
#>   0.4765     0.8840 1.1212     1.8240   953
#>   0.4765     0.6043 1.1212     1.1651   953
#>   0.3425     0.9621 1.1200     3.7182   685
#>   0.3390     0.6544 1.1197     1.2024   678
#>   0.3390     0.5800 1.1197     1.1476   678
#>   0.3750     0.7239 1.1189     1.2787   750
#>   0.3750     0.5796 1.1189     1.1465   750
#>   0.3750     0.9591 1.1165     3.4457   750
#>   0.3560     0.8269 1.1160     1.4966   712
#>   0.3750     0.8269 1.1159     1.4963   750
#>   0.3750     0.5061 1.1159     1.1064   750
#>   0.3985     0.8787 1.1144     1.7439   797
#>   0.3985     0.5054 1.1144     1.1049   797
#>   0.4045     0.9070 1.1135     1.9936   809
#>   0.3455     0.9557 1.1126     3.1857   691
#>   0.4305     0.8311 1.1126     1.4978   861
#>   0.4305     0.5763 1.1126     1.1376   861
#>   0.5320     0.8772 1.1124     1.7218  1064
#>   0.5320     0.6747 1.1124     1.2096  1064
#>   0.4765     0.8294 1.1103     1.4831   953
#>   0.4765     0.6379 1.1103     1.1750   953
#>   0.4180     0.9532 1.1097     3.0160   836
#>   0.5660     0.8221 1.1094     1.4557  1132
#>   0.5660     0.7638 1.1094     1.3190  1132
#>   0.4985     0.8219 1.1092     1.4545   997
#>   0.4985     0.6727 1.1092     1.2024   997
#>   0.4495     0.8745 1.1091     1.6854   899
#>   0.4495     0.5701 1.1091     1.1304   899
#>   0.4115     0.8737 1.1080     1.6742   823
#>   0.4115     0.5219 1.1080     1.1064   823
#>   0.3225     0.9513 1.1075     2.8969   645
#>   0.3275     0.9507 1.1067     2.8573   655
#>   0.3475     0.6708 1.1061     1.1955   695
#>   0.3475     0.5730 1.1061     1.1287   695
#>   0.3820     0.7375 1.1040     1.2645   764
#>   0.3820     0.5719 1.1040     1.1258   764
#>   0.4205     0.9481 1.1038     2.7188   841
#>   0.3015     0.9481 1.1037     2.7175   603
#>   0.4430     0.8986 1.1032     1.8290   886
#>   0.4430     0.5439 1.1032     1.1116   886
#>   0.3080     0.5946 1.1031     1.1371   616
#>   0.3080     0.5714 1.1031     1.1247   616
#>   0.3615     0.9476 1.1031     2.6896   723
#>   0.3080     0.6331 1.1020     1.1597   616
#>   0.3080     0.5361 1.1020     1.1070   616
#>   0.3310     0.9457 1.1009     2.5974   662
#>   0.3820     0.9455 1.1008     2.5893   764
#>   0.4595     0.9455 1.1007     2.5859   919
#>   0.4595     0.5349 1.1007     1.1052   919
#>   0.3020     0.9452 1.1004     2.5743   604
#>   0.5600     0.8655 1.0977     1.5729  1120
#>   0.5600     0.7102 1.0977     1.2181  1120
#>   0.4440     0.9427 1.0974     2.4597   888
#>   0.4440     0.5169 1.0974     1.0950   888
#>   0.3930     0.9413 1.0958     2.4028   786
#>   0.4440     0.8925 1.0957     1.7250   888
#>   0.4440     0.5451 1.0957     1.1047   888
#>   0.3820     0.8110 1.0945     1.3707   764
#>   0.3820     0.5155 1.0945     1.0919   764
#>   0.3615     0.8105 1.0938     1.3670   723
#>   0.4045     0.9396 1.0938     2.3346   809
#>   0.5600     0.9396 1.0938     2.3343  1120
#>   0.5600     0.6519 1.0938     1.1607  1120
#>   0.3335     0.9394 1.0936     2.3281   667
#>   0.4290     0.8623 1.0936     1.5361   858
#>   0.4290     0.5441 1.0936     1.1021   858
#>   0.3310     0.9390 1.0931     2.3117   662
#>   0.5400     0.8904 1.0931     1.6918  1080
#>   0.5400     0.6630 1.0931     1.1676  1080
#>   0.3260     0.9381 1.0921     2.2790   652
#>   0.4460     0.8610 1.0920     1.5216   892
#>   0.4460     0.5656 1.0920     1.1097   892
#>   0.4180     0.9941 1.0894    14.7175   836
#>   0.4865     0.9356 1.0891     2.1887   973
#>   0.4865     0.5664 1.0891     1.1069   973
#>   0.4930     0.8581 1.0883     1.4909   986
#>   0.4930     0.6252 1.0883     1.1354   986
#>   0.3655     0.9348 1.0882     2.1620   731
#>   0.3310     0.9925 1.0877    11.6725   662
#>   0.3425     0.9913 1.0864    10.0771   685
#>   0.4650     0.9328 1.0859     2.0982   930
#>   0.4650     0.5413 1.0859     1.0934   930
#>   0.4535     0.9322 1.0852     2.0787   907
#>   0.4535     0.5279 1.0852     1.0878   907
#>   0.3910     0.8037 1.0846     1.3194   782
#>   0.3910     0.5277 1.0846     1.0872   782
#>   0.5960     0.8551 1.0845     1.4596  1192
#>   0.5960     0.7559 1.0845     1.2411  1192
#>   0.3275     0.9894 1.0843     8.2750   655
#>   0.5600     0.9894 1.0843     8.2542  1120
#>   0.5600     0.6137 1.0843     1.1235  1120
#>   0.3225     0.9893 1.0841     8.1500   645
#>   0.3615     0.9891 1.0839     7.9953   723
#>   0.4385     0.9887 1.0835     7.7612   877
#>   0.3910     0.7548 1.0830     1.2359   782
#>   0.3910     0.5610 1.0830     1.0979   782
#>   0.4595     0.9882 1.0829     7.3977   919
#>   0.4595     0.5036 1.0829     1.0777   919
#>   0.4865     0.9878 1.0825     7.1823   973
#>   0.4865     0.5332 1.0825     1.0871   973
#>   0.4430     0.9297 1.0823     2.0056   886
#>   0.4430     0.5157 1.0823     1.0810   886
#>   0.3155     0.9875 1.0822     6.9891   631
#>   0.3140     0.9874 1.0821     6.9563   628
#>   0.3985     0.9289 1.0814     1.9832   797
#>   0.5005     0.9286 1.0810     1.9740  1001
#>   0.5005     0.5827 1.0810     1.1046  1001
#>   0.3930     0.9862 1.0808     6.3398   786
#>   0.6470     0.9283 1.0806     1.9655  1294
#>   0.6470     0.7532 1.0806     1.2277  1294
#>   0.3500     0.9859 1.0805     6.2125   700
#>   0.4430     0.9855 1.0800     6.0510   886
#>   0.3560     0.9848 1.0792     5.7511   712
#>   0.4925     0.9258 1.0777     1.8990   985
#>   0.4925     0.5733 1.0777     1.0969   985
#>   0.5660     0.9256 1.0775     1.8950  1132
#>   0.5660     0.6589 1.0775     1.1390  1132
#>   0.4045     0.9830 1.0772     5.1438   809
#>   0.5960     0.8043 1.0767     1.2929  1192
#>   0.5960     0.7979 1.0767     1.2813  1192
#>   0.3750     0.9817 1.0758     4.7750   750
#>   0.5400     0.9239 1.0755     1.8520  1080
#>   0.5400     0.6286 1.0755     1.1189  1080
#>   0.3200     0.6178 1.0753     1.1132   640
#>   0.3200     0.5570 1.0753     1.0881   640
#>   0.5400     0.9809 1.0750     4.5875  1080
#>   0.5400     0.5918 1.0750     1.1011  1080
#>   0.4535     0.8755 1.0749     1.4898   907
#>   0.4535     0.5568 1.0749     1.0875   907
#>   0.5660     0.8473 1.0746     1.3851  1132
#>   0.5660     0.7178 1.0746     1.1765  1132
#>   0.4115     0.9226 1.0741     1.8228   823
#>   0.4440     0.9791 1.0729     4.1770   888
#>   0.6740     0.9789 1.0728     4.1547  1348
#>   0.6740     0.7386 1.0728     1.1918  1348
#>   0.6470     0.8731 1.0720     1.4623  1294
#>   0.6470     0.7944 1.0720     1.2594  1294
#>   0.5200     0.9774 1.0712     3.8792  1040
#>   0.5200     0.5699 1.0712     1.0880  1040
#>   0.3445     0.9773 1.0710     3.8555   689
#>   0.5005     0.8712 1.0696     1.4401  1001
#>   0.5005     0.6145 1.0696     1.1037  1001
#>   0.3815     0.9757 1.0693     3.6013   763
#>   0.3390     0.9755 1.0691     3.5772   678
#>   0.4860     0.9749 1.0684     3.4895   972
#>   0.4860     0.5326 1.0684     1.0730   972
#>   0.5960     0.9747 1.0681     3.4520  1192
#>   0.5960     0.6532 1.0681     1.1201  1192
#>   0.5005     0.9737 1.0671     3.3315  1001
#>   0.5005     0.5485 1.0671     1.0764  1001
#>   0.4175     0.9732 1.0665     3.2641   835
#>   0.6470     0.9686 1.0614     2.7833  1294
#>   0.6470     0.7090 1.0614     1.1411  1294
#>   0.4495     0.9118 1.0614     1.5980   899
#>   0.4495     0.5233 1.0614     1.0635   899
#>   0.4535     0.9116 1.0612     1.5943   907
#>   0.4535     0.5279 1.0612     1.0645   907
#>   0.3910     0.9678 1.0606     2.7192   782
#>   0.4765     0.9665 1.0592     2.6144   953
#>   0.4765     0.5222 1.0592     1.0611   953
#>   0.4710     0.9093 1.0585     1.5540   942
#>   0.4710     0.5483 1.0585     1.0671   942
#>   0.4305     0.9652 1.0578     2.5177   861
#>   0.5505     0.9077 1.0567     1.5271  1101
#>   0.5505     0.6409 1.0567     1.0957  1101
#>   0.5845     0.9637 1.0561     2.4122  1169
#>   0.5845     0.6405 1.0561     1.0947  1169
#>   0.4535     0.9628 1.0552     2.3550   907
#>   0.3080     0.9625 1.0548     2.3333   616
#>   0.4040     0.7799 1.0525     1.1769   808
#>   0.4040     0.5452 1.0525     1.0598   808
#>   0.6740     0.9023 1.0504     1.4428  1348
#>   0.6740     0.7846 1.0504     1.1747  1348
#>   0.6740     0.8548 1.0495     1.2774  1348
#>   0.6740     0.8275 1.0495     1.2261  1348
#>   0.6680     0.9015 1.0495     1.4312  1336
#>   0.6680     0.7776 1.0495     1.1648  1336
#>   0.6115     0.8252 1.0466     1.2102  1223
#>   0.6115     0.7755 1.0466     1.1538  1223
#>   0.5140     0.8947 1.0415     1.3389  1028
#>   0.5140     0.5984 1.0415     1.0594  1028
#>   0.8145     0.9482 1.0391     1.6890  1629
#>   0.8145     0.8926 1.0391     1.3129  1629
#>   0.7470     0.9474 1.0382     1.6625  1494
#>   0.7470     0.8186 1.0382     1.1661  1494
#>   0.4710     0.9467 1.0375     1.6427   942
#>   0.4710     0.5162 1.0375     1.0386   942
#>   0.6970     0.9406 1.0308     1.4736  1394
#>   0.6970     0.7638 1.0308     1.0967  1394
#>   0.4865     0.9392 1.0292     1.4389   973
#>   0.4865     0.5332 1.0292     1.0325   973
#>   0.5390     0.9382 1.0282     1.4160  1078
#>   0.5390     0.5907 1.0282     1.0395  1078
#>   0.6885     0.8732 1.0165     1.1118  1377
#>   0.6885     0.8015 1.0165     1.0656  1377

Metric	Meaning
Support	P(A and B) — how common is this pattern?
Confidence	P(B given A) — how reliable is this implication?
Lift	> 1 = positive association, < 1 = negative
Conviction	Departure from independence (higher = stronger)

Adjusting thresholds

rules_broad  <- association_rules(net, min_support = 0.1,
                                  min_confidence = 0.3, min_lift = 0)
rules_strict <- association_rules(net, min_support = 0.5,
                                  min_confidence = 0.8, min_lift = 1.0)
data.frame(
  Setting = c("Broad (sup>=0.1, conf>=0.3)", "Strict (sup>=0.5, conf>=0.8, lift>=1)"),
  Rules   = c(rules_broad$n_rules, rules_strict$n_rules)
)

Setting	Rules
Broad (sup>=0.1, conf>=0.3)	3043
Strict (sup>=0.5, conf>=0.8, lift>=1)	44

Per-group rules

nets <- build_network(
  group_regulation_long, method = "relative",
  actor = "Actor", action = "Action", time = "Time",
  group = "Achiever"
)
lapply(nets, function(g) {
  association_rules(g, min_support = 0.3, min_confidence = 0.5, min_lift = 1.0)
})
#> $High
#> Association Rules  [587 rules | 7 items | 1000 transactions]
#>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 1.00
#> 
#>   Top rules (by lift):
#>     1. cohesion, coregulate -> discuss, emotion, plan  (sup=0.322 conf=0.809 lift=1.36)
#>     2. discuss, emotion, plan -> cohesion, coregulate  (sup=0.322 conf=0.541 lift=1.36)
#>     3. cohesion, discuss, plan -> coregulate, emotion  (sup=0.322 conf=0.675 lift=1.35)
#>     4. coregulate, emotion -> cohesion, discuss, plan  (sup=0.322 conf=0.643 lift=1.35)
#>     5. cohesion, consensus, coregulate -> discuss, emotion  (sup=0.335 conf=0.861 lift=1.33)
#>     6. discuss, emotion -> cohesion, consensus, coregulate  (sup=0.335 conf=0.518 lift=1.33)
#>     7. cohesion, coregulate, plan -> discuss, emotion  (sup=0.322 conf=0.861 lift=1.33)
#>     8. cohesion, coregulate -> consensus, discuss, emotion  (sup=0.335 conf=0.842 lift=1.32)
#>     9. consensus, discuss, emotion -> cohesion, coregulate  (sup=0.335 conf=0.527 lift=1.32)
#>     10. coregulate, discuss, emotion -> cohesion, plan  (sup=0.322 conf=0.714 lift=1.32)
#>     ... and 577 more rules
#> 
#> $Low
#> Association Rules  [657 rules | 9 items | 1000 transactions]
#>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 1.00
#> 
#>   Top rules (by lift):
#>     1. cohesion, coregulate -> discuss, emotion  (sup=0.301 conf=0.784 lift=1.36)
#>     2. discuss, emotion -> cohesion, coregulate  (sup=0.301 conf=0.523 lift=1.36)
#>     3. coregulate, emotion, plan -> cohesion, consensus  (sup=0.309 conf=0.673 lift=1.34)
#>     4. cohesion, consensus -> coregulate, emotion, plan  (sup=0.309 conf=0.614 lift=1.34)
#>     5. cohesion, consensus, plan -> coregulate, emotion  (sup=0.309 conf=0.660 lift=1.33)
#>     6. coregulate, emotion -> cohesion, consensus, plan  (sup=0.309 conf=0.623 lift=1.33)
#>     7. consensus, coregulate, emotion -> cohesion, plan  (sup=0.309 conf=0.642 lift=1.32)
#>     8. cohesion, plan -> consensus, coregulate, emotion  (sup=0.309 conf=0.636 lift=1.32)
#>     9. cohesion, discuss -> coregulate, emotion  (sup=0.301 conf=0.652 lift=1.31)
#>     10. coregulate, emotion -> cohesion, discuss  (sup=0.301 conf=0.607 lift=1.31)
#>     ... and 647 more rules

Rules unique to one group suggest activity combinations associated with that group’s outcomes.

Plotting rules

Support vs confidence scatter, with point size and color encoding lift:

rules <- association_rules(net, min_support = 0.2,
                           min_confidence = 0.4, min_lift = 1.0)
if (rules$n_rules > 0) plot(rules)

Association rules scatter plot

Extracting pathways

Each rule {A, B} => {C} becomes "A B -> C":

rules <- association_rules(net, min_support = 0.3,
                           min_confidence = 0.5, min_lift = 1.0)
pathways(rules)
#>   [1] "cohesion coregulate -> discuss emotion plan"     
#>   [2] "discuss emotion plan -> cohesion coregulate"     
#>   [3] "cohesion coregulate -> consensus discuss emotion"
#>   [4] "consensus discuss emotion -> cohesion coregulate"
#>   [5] "cohesion consensus coregulate -> discuss emotion"
#>   [6] "discuss emotion -> cohesion consensus coregulate"
#>   [7] "cohesion coregulate plan -> discuss emotion"     
#>   [8] "cohesion discuss plan -> coregulate emotion"     
#>   [9] "coregulate emotion -> cohesion discuss plan"     
#>  [10] "cohesion coregulate -> discuss emotion"          
#>  [11] "discuss emotion -> cohesion coregulate"          
#>  [12] "cohesion consensus discuss -> coregulate emotion"
#>  [13] "coregulate emotion -> cohesion consensus discuss"
#>  [14] "coregulate discuss emotion -> cohesion plan"     
#>  [15] "cohesion plan -> coregulate discuss emotion"     
#>  [16] "coregulate discuss emotion -> cohesion consensus"
#>  [17] "cohesion consensus -> coregulate discuss emotion"
#>  [18] "coregulate emotion plan -> cohesion discuss"     
#>  [19] "cohesion discuss -> coregulate emotion plan"     
#>  [20] "consensus coregulate emotion -> cohesion discuss"
#>  [21] "cohesion discuss -> consensus coregulate emotion"
#>  [22] "coregulate emotion -> cohesion consensus plan"   
#>  [23] "cohesion consensus plan -> coregulate emotion"   
#>  [24] "consensus coregulate emotion -> cohesion plan"   
#>  [25] "cohesion plan -> consensus coregulate emotion"   
#>  [26] "coregulate emotion plan -> cohesion consensus"   
#>  [27] "cohesion consensus -> coregulate emotion plan"   
#>  [28] "cohesion discuss -> coregulate emotion"          
#>  [29] "coregulate emotion -> cohesion discuss"          
#>  [30] "cohesion coregulate -> consensus emotion plan"   
#>  [31] "consensus emotion plan -> cohesion coregulate"   
#>  [32] "coregulate emotion -> cohesion plan"             
#>  [33] "cohesion plan -> coregulate emotion"             
#>  [34] "cohesion consensus -> discuss emotion plan"      
#>  [35] "discuss emotion plan -> cohesion consensus"      
#>  [36] "cohesion coregulate plan -> consensus emotion"   
#>  [37] "cohesion consensus coregulate -> emotion plan"   
#>  [38] "cohesion consensus plan -> discuss emotion"      
#>  [39] "discuss emotion -> cohesion consensus plan"      
#>  [40] "cohesion plan -> consensus discuss emotion"      
#>  [41] "consensus discuss emotion -> cohesion plan"      
#>  [42] "coregulate emotion -> cohesion consensus"        
#>  [43] "cohesion consensus -> coregulate emotion"        
#>  [44] "cohesion discuss emotion -> coregulate plan"     
#>  [45] "coregulate plan -> cohesion discuss emotion"     
#>  [46] "cohesion coregulate discuss -> consensus emotion"
#>  [47] "coregulate plan -> consensus discuss emotion"    
#>  [48] "consensus discuss emotion -> coregulate plan"    
#>  [49] "cohesion coregulate discuss -> emotion plan"     
#>  [50] "consensus emotion monitor -> discuss plan"       
#>  [51] "cohesion plan -> discuss emotion"                
#>  [52] "discuss emotion -> cohesion plan"                
#>  [53] "cohesion coregulate -> emotion plan"             
#>  [54] "cohesion consensus -> discuss emotion"           
#>  [55] "discuss emotion -> cohesion consensus"           
#>  [56] "consensus coregulate plan -> discuss emotion"    
#>  [57] "discuss emotion -> consensus coregulate plan"    
#>  [58] "cohesion coregulate -> consensus emotion"        
#>  [59] "discuss emotion plan -> consensus coregulate"    
#>  [60] "consensus coregulate -> discuss emotion plan"    
#>  [61] "cohesion consensus emotion -> coregulate plan"   
#>  [62] "coregulate plan -> cohesion consensus emotion"   
#>  [63] "cohesion consensus discuss -> coregulate plan"   
#>  [64] "coregulate plan -> cohesion consensus discuss"   
#>  [65] "cohesion consensus coregulate -> discuss plan"   
#>  [66] "coregulate monitor -> discuss plan"              
#>  [67] "cohesion discuss plan -> consensus coregulate"   
#>  [68] "consensus coregulate -> cohesion discuss plan"   
#>  [69] "cohesion consensus emotion -> coregulate discuss"
#>  [70] "coregulate discuss -> cohesion consensus emotion"
#>  [71] "cohesion discuss emotion -> consensus coregulate"
#>  [72] "consensus coregulate -> cohesion discuss emotion"
#>  [73] "emotion monitor -> consensus discuss plan"       
#>  [74] "consensus discuss plan -> emotion monitor"       
#>  [75] "cohesion coregulate -> consensus discuss plan"   
#>  [76] "cohesion discuss plan -> consensus emotion"      
#>  [77] "consensus emotion -> cohesion discuss plan"      
#>  [78] "coregulate discuss emotion -> cohesion"          
#>  [79] "cohesion -> coregulate discuss emotion"          
#>  [80] "consensus coregulate discuss emotion -> cohesion"
#>  [81] "cohesion -> consensus coregulate discuss emotion"
#>  [82] "cohesion emotion plan -> coregulate discuss"     
#>  [83] "coregulate discuss -> cohesion emotion plan"     
#>  [84] "coregulate discuss emotion plan -> cohesion"     
#>  [85] "cohesion -> coregulate discuss emotion plan"     
#>  [86] "cohesion discuss emotion plan -> coregulate"     
#>  [87] "consensus coregulate emotion -> discuss plan"    
#>  [88] "discuss plan -> consensus coregulate emotion"    
#>  [89] "coregulate plan -> discuss emotion"              
#>  [90] "discuss emotion -> coregulate plan"              
#>  [91] "coregulate discuss plan -> cohesion consensus"   
#>  [92] "cohesion consensus -> coregulate discuss plan"   
#>  [93] "cohesion consensus discuss emotion -> coregulate"
#>  [94] "coregulate -> cohesion consensus discuss emotion"
#>  [95] "cohesion coregulate emotion -> discuss plan"     
#>  [96] "coregulate emotion -> consensus discuss plan"    
#>  [97] "consensus discuss plan -> coregulate emotion"    
#>  [98] "consensus monitor -> discuss emotion plan"       
#>  [99] "discuss emotion plan -> consensus monitor"       
#> [100] "cohesion discuss -> consensus coregulate plan"   
#> [101] "consensus coregulate plan -> cohesion discuss"   
#> [102] "cohesion consensus plan -> coregulate discuss"   
#> [103] "coregulate discuss -> cohesion consensus plan"   
#> [104] "emotion monitor -> discuss plan"                 
#> [105] "discuss plan -> emotion monitor"                 
#> [106] "consensus coregulate emotion plan -> cohesion"   
#> [107] "cohesion -> consensus coregulate emotion plan"   
#> [108] "cohesion plan -> consensus emotion"              
#> [109] "consensus emotion -> cohesion plan"              
#> [110] "coregulate emotion plan -> cohesion"             
#> [111] "cohesion -> coregulate emotion plan"             
#> [112] "cohesion coregulate -> discuss plan"             
#> [113] "cohesion plan -> consensus coregulate discuss"   
#> [114] "consensus coregulate discuss -> cohesion plan"   
#> [115] "cohesion emotion plan -> consensus coregulate"   
#> [116] "consensus coregulate -> cohesion emotion plan"   
#> [117] "consensus monitor plan -> discuss emotion"       
#> [118] "discuss emotion -> consensus monitor plan"       
#> [119] "cohesion consensus discuss -> emotion plan"      
#> [120] "emotion plan -> cohesion consensus discuss"      
#> [121] "consensus coregulate emotion -> cohesion"        
#> [122] "cohesion -> consensus coregulate emotion"        
#> [123] "cohesion consensus -> emotion plan"              
#> [124] "emotion plan -> cohesion consensus"              
#> [125] "coregulate discuss plan -> cohesion emotion"     
#> [126] "cohesion emotion -> coregulate discuss plan"     
#> [127] "cohesion discuss -> consensus emotion plan"      
#> [128] "consensus emotion plan -> cohesion discuss"      
#> [129] "cohesion consensus discuss plan -> coregulate"   
#> [130] "coregulate -> cohesion consensus discuss plan"   
#> [131] "coregulate emotion -> cohesion"                  
#> [132] "cohesion -> coregulate emotion"                  
#> [133] "consensus discuss emotion plan -> coregulate"    
#> [134] "coregulate -> consensus discuss emotion plan"    
#> [135] "cohesion discuss -> coregulate plan"             
#> [136] "coregulate plan -> cohesion discuss"             
#> [137] "discuss monitor -> coregulate plan"              
#> [138] "coregulate plan -> discuss monitor"              
#> [139] "cohesion discuss emotion -> coregulate"          
#> [140] "coregulate -> cohesion discuss emotion"          
#> [141] "consensus coregulate -> discuss emotion"         
#> [142] "discuss emotion -> consensus coregulate"         
#> [143] "discuss emotion plan -> cohesion"                
#> [144] "cohesion -> discuss emotion plan"                
#> [145] "coregulate emotion -> discuss plan"              
#> [146] "discuss plan -> coregulate emotion"              
#> [147] "discuss emotion plan -> coregulate"              
#> [148] "coregulate -> discuss emotion plan"              
#> [149] "cohesion discuss plan -> coregulate"             
#> [150] "coregulate -> cohesion discuss plan"             
#> [151] "cohesion consensus coregulate plan -> emotion"   
#> [152] "cohesion coregulate plan -> emotion"             
#> [153] "cohesion coregulate discuss plan -> emotion"     
#> [154] "consensus discuss emotion plan -> cohesion"      
#> [155] "cohesion -> consensus discuss emotion plan"      
#> [156] "cohesion -> discuss emotion"                     
#> [157] "discuss emotion -> cohesion"                     
#> [158] "coregulate discuss -> cohesion consensus"        
#> [159] "cohesion consensus -> coregulate discuss"        
#> [160] "monitor plan -> consensus discuss emotion"       
#> [161] "consensus discuss emotion -> monitor plan"       
#> [162] "cohesion plan -> coregulate discuss"             
#> [163] "coregulate discuss -> cohesion plan"             
#> [164] "cohesion emotion -> consensus coregulate discuss"
#> [165] "consensus coregulate discuss -> cohesion emotion"
#> [166] "cohesion -> consensus discuss emotion"           
#> [167] "consensus discuss emotion -> cohesion"           
#> [168] "cohesion emotion -> consensus coregulate plan"   
#> [169] "consensus coregulate plan -> cohesion emotion"   
#> [170] "cohesion consensus coregulate -> emotion"        
#> [171] "cohesion consensus -> coregulate plan"           
#> [172] "coregulate plan -> cohesion consensus"           
#> [173] "coregulate discuss plan -> consensus emotion"    
#> [174] "consensus emotion -> coregulate discuss plan"    
#> [175] "cohesion coregulate -> emotion"                  
#> [176] "cohesion consensus coregulate discuss -> emotion"
#> [177] "cohesion consensus emotion plan -> coregulate"   
#> [178] "coregulate -> cohesion consensus emotion plan"   
#> [179] "cohesion discuss -> consensus emotion"           
#> [180] "consensus emotion -> cohesion discuss"           
#> [181] "cohesion discuss -> consensus coregulate"        
#> [182] "consensus coregulate -> cohesion discuss"        
#> [183] "cohesion coregulate discuss -> emotion"          
#> [184] "coregulate discuss -> consensus emotion plan"    
#> [185] "consensus emotion plan -> coregulate discuss"    
#> [186] "consensus monitor -> coregulate discuss"         
#> [187] "coregulate discuss -> consensus monitor"         
#> [188] "consensus discuss emotion -> coregulate"         
#> [189] "coregulate -> consensus discuss emotion"         
#> [190] "cohesion coregulate plan -> consensus discuss"   
#> [191] "cohesion consensus emotion -> discuss plan"      
#> [192] "discuss plan -> cohesion consensus emotion"      
#> [193] "cohesion consensus discuss -> coregulate"        
#> [194] "coregulate -> cohesion consensus discuss"        
#> [195] "cohesion discuss -> emotion plan"                
#> [196] "emotion plan -> cohesion discuss"                
#> [197] "coregulate monitor -> consensus discuss"         
#> [198] "consensus coregulate -> discuss plan"            
#> [199] "discuss plan -> consensus coregulate"            
#> [200] "cohesion emotion -> coregulate plan"             
#> [201] "coregulate plan -> cohesion emotion"             
#> [202] "discuss monitor plan -> coregulate"              
#> [203] "consensus monitor -> discuss plan"               
#> [204] "discuss plan -> consensus monitor"               
#> [205] "cohesion emotion -> coregulate discuss"          
#> [206] "coregulate discuss -> cohesion emotion"          
#> [207] "cohesion consensus emotion -> coregulate"        
#> [208] "coregulate -> cohesion consensus emotion"        
#> [209] "discuss monitor -> consensus coregulate"         
#> [210] "consensus coregulate -> discuss monitor"         
#> [211] "consensus monitor -> coregulate plan"            
#> [212] "coregulate plan -> consensus monitor"            
#> [213] "cohesion emotion plan -> coregulate"             
#> [214] "coregulate -> cohesion emotion plan"             
#> [215] "coregulate emotion plan -> consensus discuss"    
#> [216] "consensus discuss -> coregulate emotion plan"    
#> [217] "consensus coregulate discuss -> emotion plan"    
#> [218] "emotion plan -> consensus coregulate discuss"    
#> [219] "cohesion plan -> consensus coregulate"           
#> [220] "consensus coregulate -> cohesion plan"           
#> [221] "monitor plan -> coregulate discuss"              
#> [222] "coregulate discuss -> monitor plan"              
#> [223] "consensus discuss monitor -> coregulate"         
#> [224] "coregulate -> consensus discuss monitor"         
#> [225] "emotion monitor plan -> consensus discuss"       
#> [226] "monitor plan -> discuss emotion"                 
#> [227] "discuss emotion -> monitor plan"                 
#> [228] "cohesion coregulate -> consensus discuss"        
#> [229] "cohesion coregulate emotion -> consensus discuss"
#> [230] "coregulate plan -> consensus emotion"            
#> [231] "consensus emotion -> coregulate plan"            
#> [232] "cohesion consensus discuss plan -> emotion"      
#> [233] "emotion -> cohesion consensus discuss plan"      
#> [234] "cohesion consensus plan -> emotion"              
#> [235] "emotion -> cohesion consensus plan"              
#> [236] "consensus monitor -> discuss emotion"            
#> [237] "discuss emotion -> consensus monitor"            
#> [238] "cohesion discuss plan -> emotion"                
#> [239] "emotion -> cohesion discuss plan"                
#> [240] "coregulate -> discuss emotion"                   
#> [241] "discuss emotion -> coregulate"                   
#> [242] "cohesion -> consensus emotion plan"              
#> [243] "consensus emotion plan -> cohesion"              
#> [244] "discuss monitor plan -> consensus emotion"       
#> [245] "cohesion consensus -> discuss plan"              
#> [246] "discuss plan -> cohesion consensus"              
#> [247] "consensus discuss monitor -> emotion plan"       
#> [248] "emotion plan -> consensus discuss monitor"       
#> [249] "cohesion consensus plan -> coregulate"           
#> [250] "coregulate -> cohesion consensus plan"           
#> [251] "cohesion plan -> emotion"                        
#> [252] "emotion -> cohesion plan"                        
#> [253] "coregulate -> consensus discuss plan"            
#> [254] "consensus discuss plan -> coregulate"            
#> [255] "cohesion discuss -> coregulate"                  
#> [256] "coregulate -> cohesion discuss"                  
#> [257] "discuss monitor -> consensus emotion plan"       
#> [258] "consensus emotion plan -> discuss monitor"       
#> [259] "cohesion emotion -> consensus coregulate"        
#> [260] "consensus coregulate -> cohesion emotion"        
#> [261] "consensus coregulate discuss plan -> cohesion"   
#> [262] "cohesion -> consensus coregulate discuss plan"   
#> [263] "coregulate discuss -> emotion plan"              
#> [264] "emotion plan -> coregulate discuss"              
#> [265] "coregulate plan -> consensus discuss"            
#> [266] "consensus discuss -> coregulate plan"            
#> [267] "coregulate discuss -> consensus emotion"         
#> [268] "consensus emotion -> coregulate discuss"         
#> [269] "cohesion consensus discuss -> emotion"           
#> [270] "emotion -> cohesion consensus discuss"           
#> [271] "coregulate discuss plan -> monitor"              
#> [272] "monitor -> coregulate discuss plan"              
#> [273] "cohesion -> emotion plan"                        
#> [274] "emotion plan -> cohesion"                        
#> [275] "monitor -> consensus discuss emotion plan"       
#> [276] "consensus discuss emotion plan -> monitor"       
#> [277] "emotion monitor -> consensus discuss"            
#> [278] "coregulate -> discuss plan"                      
#> [279] "discuss plan -> coregulate"                      
#> [280] "cohesion consensus -> emotion"                   
#> [281] "emotion -> cohesion consensus"                   
#> [282] "coregulate discuss plan -> cohesion"             
#> [283] "cohesion -> coregulate discuss plan"             
#> [284] "monitor -> discuss emotion plan"                 
#> [285] "discuss emotion plan -> monitor"                 
#> [286] "coregulate emotion -> consensus discuss"         
#> [287] "consensus discuss -> coregulate emotion"         
#> [288] "consensus coregulate -> emotion plan"            
#> [289] "emotion plan -> consensus coregulate"            
#> [290] "cohesion -> consensus emotion"                   
#> [291] "consensus emotion -> cohesion"                   
#> [292] "discuss monitor -> coregulate"                   
#> [293] "coregulate -> discuss monitor"                   
#> [294] "consensus coregulate monitor -> discuss"         
#> [295] "cohesion discuss -> emotion"                     
#> [296] "emotion -> cohesion discuss"                     
#> [297] "coregulate monitor plan -> discuss"              
#> [298] "consensus monitor plan -> coregulate"            
#> [299] "coregulate -> consensus monitor plan"            
#> [300] "cohesion plan -> coregulate"                     
#> [301] "coregulate -> cohesion plan"                     
#> [302] "cohesion emotion -> consensus discuss plan"      
#> [303] "consensus discuss plan -> cohesion emotion"      
#> [304] "consensus coregulate discuss -> cohesion"        
#> [305] "cohesion -> consensus coregulate discuss"        
#> [306] "monitor plan -> consensus coregulate"            
#> [307] "consensus coregulate -> monitor plan"            
#> [308] "coregulate -> consensus emotion plan"            
#> [309] "consensus emotion plan -> coregulate"            
#> [310] "cohesion -> emotion"                             
#> [311] "emotion -> cohesion"                             
#> [312] "cohesion emotion -> coregulate"                  
#> [313] "coregulate -> cohesion emotion"                  
#> [314] "cohesion consensus -> coregulate"                
#> [315] "coregulate -> cohesion consensus"                
#> [316] "discuss plan -> consensus emotion"               
#> [317] "consensus emotion -> discuss plan"               
#> [318] "monitor -> consensus coregulate discuss"         
#> [319] "consensus coregulate discuss -> monitor"         
#> [320] "consensus coregulate plan -> cohesion"           
#> [321] "cohesion -> consensus coregulate plan"           
#> [322] "cohesion consensus coregulate -> discuss"        
#> [323] "cohesion emotion -> discuss plan"                
#> [324] "discuss plan -> cohesion emotion"                
#> [325] "discuss emotion monitor -> consensus plan"       
#> [326] "coregulate discuss -> cohesion"                  
#> [327] "cohesion -> coregulate discuss"                  
#> [328] "cohesion consensus coregulate emotion -> discuss"
#> [329] "cohesion consensus coregulate plan -> discuss"   
#> [330] "coregulate monitor -> discuss"                   
#> [331] "cohesion emotion plan -> consensus discuss"      
#> [332] "consensus discuss -> cohesion emotion plan"      
#> [333] "discuss monitor -> emotion plan"                 
#> [334] "emotion plan -> discuss monitor"                 
#> [335] "consensus coregulate discuss plan -> emotion"    
#> [336] "emotion -> consensus coregulate discuss plan"    
#> [337] "monitor -> consensus discuss plan"               
#> [338] "consensus discuss plan -> monitor"               
#> [339] "consensus emotion monitor plan -> discuss"       
#> [340] "cohesion coregulate plan -> discuss"             
#> [341] "coregulate discuss emotion -> consensus plan"    
#> [342] "consensus plan -> coregulate discuss emotion"    
#> [343] "cohesion coregulate emotion plan -> discuss"     
#> [344] "coregulate plan -> cohesion"                     
#> [345] "cohesion -> coregulate plan"                     
#> [346] "consensus emotion monitor -> discuss"            
#> [347] "monitor -> coregulate discuss"                   
#> [348] "coregulate discuss -> monitor"                   
#> [349] "consensus monitor -> emotion plan"               
#> [350] "emotion plan -> consensus monitor"               
#> [351] "monitor -> discuss plan"                         
#> [352] "discuss plan -> monitor"                         
#> [353] "cohesion plan -> consensus discuss"              
#> [354] "consensus discuss -> cohesion plan"              
#> [355] "consensus coregulate emotion plan -> discuss"    
#> [356] "discuss -> consensus coregulate emotion plan"    
#> [357] "monitor -> consensus discuss emotion"            
#> [358] "consensus discuss emotion -> monitor"            
#> [359] "monitor -> consensus coregulate plan"            
#> [360] "consensus coregulate plan -> monitor"            
#> [361] "coregulate discuss plan -> emotion"              
#> [362] "emotion -> coregulate discuss plan"              
#> [363] "cohesion coregulate -> discuss"                  
#> [364] "monitor plan -> consensus discuss"               
#> [365] "consensus discuss -> monitor plan"               
#> [366] "coregulate -> consensus emotion"                 
#> [367] "consensus emotion -> coregulate"                 
#> [368] "cohesion coregulate emotion -> discuss"          
#> [369] "consensus monitor -> coregulate"                 
#> [370] "coregulate -> consensus monitor"                 
#> [371] "consensus coregulate plan -> emotion"            
#> [372] "emotion -> consensus coregulate plan"            
#> [373] "coregulate -> consensus discuss"                 
#> [374] "consensus discuss -> coregulate"                 
#> [375] "coregulate -> emotion plan"                      
#> [376] "emotion plan -> coregulate"                      
#> [377] "emotion monitor plan -> discuss"                 
#> [378] "coregulate emotion plan -> discuss"              
#> [379] "discuss -> coregulate emotion plan"              
#> [380] "discuss monitor -> consensus emotion"            
#> [381] "consensus emotion -> discuss monitor"            
#> [382] "cohesion coregulate discuss -> consensus plan"   
#> [383] "consensus coregulate emotion -> discuss"         
#> [384] "discuss -> consensus coregulate emotion"         
#> [385] "cohesion -> consensus discuss plan"              
#> [386] "consensus discuss plan -> cohesion"              
#> [387] "monitor -> coregulate plan"                      
#> [388] "coregulate plan -> monitor"                      
#> [389] "consensus discuss monitor plan -> emotion"       
#> [390] "consensus coregulate plan -> discuss"            
#> [391] "discuss -> consensus coregulate plan"            
#> [392] "monitor plan -> consensus emotion"               
#> [393] "consensus emotion -> monitor plan"               
#> [394] "monitor -> discuss emotion"                      
#> [395] "discuss emotion -> monitor"                      
#> [396] "monitor plan -> coregulate"                      
#> [397] "coregulate -> monitor plan"                      
#> [398] "cohesion coregulate emotion -> consensus plan"   
#> [399] "coregulate plan -> emotion"                      
#> [400] "emotion -> coregulate plan"                      
#> [401] "emotion monitor -> consensus plan"               
#> [402] "coregulate monitor -> consensus plan"            
#> [403] "consensus coregulate discuss -> emotion"         
#> [404] "emotion -> consensus coregulate discuss"         
#> [405] "cohesion -> discuss plan"                        
#> [406] "discuss plan -> cohesion"                        
#> [407] "cohesion -> consensus coregulate"                
#> [408] "consensus coregulate -> cohesion"                
#> [409] "cohesion coregulate -> consensus plan"           
#> [410] "emotion monitor -> discuss"                      
#> [411] "coregulate plan -> discuss"                      
#> [412] "discuss -> coregulate plan"                      
#> [413] "discuss monitor plan -> emotion"                 
#> [414] "coregulate emotion -> consensus plan"            
#> [415] "consensus plan -> coregulate emotion"            
#> [416] "consensus monitor plan -> discuss"               
#> [417] "discuss -> consensus monitor plan"               
#> [418] "coregulate emotion -> discuss"                   
#> [419] "discuss -> coregulate emotion"                   
#> [420] "consensus coregulate -> discuss"                 
#> [421] "discuss -> consensus coregulate"                 
#> [422] "coregulate discuss -> emotion"                   
#> [423] "emotion -> coregulate discuss"                   
#> [424] "cohesion discuss emotion -> consensus plan"      
#> [425] "discuss emotion -> consensus plan"               
#> [426] "consensus plan -> discuss emotion"               
#> [427] "cohesion consensus emotion -> discuss"           
#> [428] "discuss -> cohesion consensus emotion"           
#> [429] "cohesion emotion -> consensus discuss"           
#> [430] "consensus discuss -> cohesion emotion"           
#> [431] "coregulate discuss -> consensus plan"            
#> [432] "consensus plan -> coregulate discuss"            
#> [433] "cohesion consensus emotion plan -> discuss"      
#> [434] "cohesion consensus plan -> discuss"              
#> [435] "discuss -> cohesion consensus plan"              
#> [436] "emotion plan -> consensus discuss"               
#> [437] "consensus discuss -> emotion plan"               
#> [438] "consensus monitor -> discuss"                    
#> [439] "discuss -> consensus monitor"                    
#> [440] "cohesion -> coregulate"                          
#> [441] "coregulate -> cohesion"                          
#> [442] "consensus coregulate -> emotion"                 
#> [443] "emotion -> consensus coregulate"                 
#> [444] "consensus discuss plan -> emotion"               
#> [445] "emotion -> consensus discuss plan"               
#> [446] "cohesion consensus -> discuss"                   
#> [447] "discuss -> cohesion consensus"                   
#> [448] "consensus discuss emotion monitor -> plan"       
#> [449] "monitor -> consensus coregulate"                 
#> [450] "consensus coregulate -> monitor"                 
#> [451] "monitor -> consensus emotion plan"               
#> [452] "consensus emotion plan -> monitor"               
#> [453] "consensus emotion monitor -> plan"               
#> [454] "consensus discuss monitor -> emotion"            
#> [455] "consensus monitor plan -> emotion"               
#> [456] "emotion -> consensus monitor plan"               
#> [457] "cohesion emotion plan -> discuss"                
#> [458] "discuss -> cohesion emotion plan"                
#> [459] "discuss monitor -> consensus plan"               
#> [460] "discuss emotion monitor -> plan"                 
#> [461] "monitor -> consensus discuss"                    
#> [462] "consensus discuss -> monitor"                    
#> [463] "coregulate -> discuss"                           
#> [464] "discuss -> coregulate"                           
#> [465] "cohesion -> consensus discuss"                   
#> [466] "consensus discuss -> cohesion"                   
#> [467] "consensus coregulate discuss emotion -> plan"    
#> [468] "discuss plan -> emotion"                         
#> [469] "emotion -> discuss plan"                         
#> [470] "coregulate -> emotion"                           
#> [471] "emotion -> coregulate"                           
#> [472] "cohesion plan -> discuss"                        
#> [473] "discuss -> cohesion plan"                        
#> [474] "monitor plan -> discuss"                         
#> [475] "discuss -> monitor plan"                         
#> [476] "consensus coregulate monitor -> plan"            
#> [477] "cohesion consensus coregulate emotion -> plan"   
#> [478] "monitor -> coregulate"                           
#> [479] "coregulate -> monitor"                           
#> [480] "monitor -> emotion plan"                         
#> [481] "emotion plan -> monitor"                         
#> [482] "coregulate discuss emotion -> plan"              
#> [483] "coregulate discuss monitor -> plan"              
#> [484] "cohesion discuss -> consensus plan"              
#> [485] "consensus plan -> cohesion discuss"              
#> [486] "monitor -> cohesion consensus"                   
#> [487] "cohesion consensus -> monitor"                   
#> [488] "cohesion consensus coregulate -> plan"           
#> [489] "consensus monitor -> cohesion"                   
#> [490] "cohesion -> consensus monitor"                   
#> [491] "cohesion consensus coregulate discuss -> plan"   
#> [492] "emotion monitor -> plan"                         
#> [493] "consensus coregulate emotion -> plan"            
#> [494] "plan -> consensus coregulate emotion"            
#> [495] "cohesion coregulate discuss emotion -> plan"     
#> [496] "consensus emotion plan -> discuss"               
#> [497] "discuss -> consensus emotion plan"               
#> [498] "cohesion consensus emotion -> plan"              
#> [499] "plan -> cohesion consensus emotion"              
#> [500] "cohesion consensus discuss emotion -> plan"      
#> [501] "cohesion emotion -> consensus plan"              
#> [502] "consensus plan -> cohesion emotion"              
#> [503] "monitor plan -> emotion"                         
#> [504] "emotion -> monitor plan"                         
#> [505] "discuss monitor -> emotion"                      
#> [506] "consensus discuss monitor -> plan"               
#> [507] "consensus discuss emotion -> plan"               
#> [508] "plan -> consensus discuss emotion"               
#> [509] "cohesion coregulate discuss -> plan"             
#> [510] "cohesion emotion -> discuss"                     
#> [511] "discuss -> cohesion emotion"                     
#> [512] "cohesion coregulate emotion -> plan"             
#> [513] "coregulate -> consensus plan"                    
#> [514] "consensus plan -> coregulate"                    
#> [515] "coregulate monitor -> plan"                      
#> [516] "monitor -> discuss"                              
#> [517] "discuss -> monitor"                              
#> [518] "coregulate discuss emotion plan -> consensus"    
#> [519] "consensus coregulate discuss -> plan"            
#> [520] "plan -> consensus coregulate discuss"            
#> [521] "cohesion -> discuss"                             
#> [522] "discuss -> cohesion"                             
#> [523] "cohesion coregulate -> plan"                     
#> [524] "cohesion coregulate discuss plan -> consensus"   
#> [525] "discuss emotion monitor plan -> consensus"       
#> [526] "coregulate emotion -> plan"                      
#> [527] "plan -> coregulate emotion"                      
#> [528] "consensus monitor -> plan"                       
#> [529] "plan -> consensus monitor"                       
#> [530] "consensus monitor -> emotion"                    
#> [531] "emotion -> consensus monitor"                    
#> [532] "consensus emotion -> discuss"                    
#> [533] "discuss -> consensus emotion"                    
#> [534] "cohesion coregulate emotion plan -> consensus"   
#> [535] "discuss emotion plan -> consensus"               
#> [536] "consensus -> discuss emotion plan"               
#> [537] "coregulate monitor plan -> consensus"            
#> [538] "cohesion coregulate plan -> consensus"           
#> [539] "coregulate discuss emotion -> consensus"         
#> [540] "monitor -> consensus emotion"                    
#> [541] "consensus emotion -> monitor"                    
#> [542] "coregulate emotion plan -> consensus"            
#> [543] "consensus -> coregulate emotion plan"            
#> [544] "coregulate discuss plan -> consensus"            
#> [545] "consensus -> coregulate discuss plan"            
#> [546] "cohesion consensus discuss -> plan"              
#> [547] "plan -> cohesion consensus discuss"              
#> [548] "cohesion coregulate discuss emotion -> consensus"
#> [549] "coregulate discuss monitor -> consensus"         
#> [550] "cohesion discuss emotion -> plan"                
#> [551] "cohesion consensus -> plan"                      
#> [552] "plan -> cohesion consensus"                      
#> [553] "cohesion discuss emotion plan -> consensus"      
#> [554] "consensus emotion -> plan"                       
#> [555] "plan -> consensus emotion"                       
#> [556] "cohesion coregulate discuss -> consensus"        
#> [557] "cohesion discuss plan -> consensus"              
#> [558] "discuss emotion monitor -> consensus"            
#> [559] "coregulate discuss -> plan"                      
#> [560] "plan -> coregulate discuss"                      
#> [561] "discuss emotion -> plan"                         
#> [562] "plan -> discuss emotion"                         
#> [563] "discuss monitor plan -> consensus"               
#> [564] "emotion -> consensus discuss"                    
#> [565] "consensus discuss -> emotion"                    
#> [566] "emotion monitor plan -> consensus"               
#> [567] "consensus coregulate -> plan"                    
#> [568] "plan -> consensus coregulate"                    
#> [569] "monitor -> cohesion"                             
#> [570] "cohesion -> monitor"                             
#> [571] "coregulate plan -> consensus"                    
#> [572] "consensus -> coregulate plan"                    
#> [573] "monitor -> consensus plan"                       
#> [574] "consensus plan -> monitor"                       
#> [575] "emotion plan -> discuss"                         
#> [576] "discuss -> emotion plan"                         
#> [577] "discuss monitor -> plan"                         
#> [578] "cohesion emotion plan -> consensus"              
#> [579] "discuss plan -> consensus"                       
#> [580] "consensus -> discuss plan"                       
#> [581] "emotion -> consensus plan"                       
#> [582] "consensus plan -> emotion"                       
#> [583] "coregulate discuss -> consensus"                 
#> [584] "consensus -> coregulate discuss"                 
#> [585] "cohesion coregulate emotion -> consensus"        
#> [586] "cohesion -> consensus plan"                      
#> [587] "consensus plan -> cohesion"                      
#> [588] "cohesion coregulate -> consensus"                
#> [589] "coregulate monitor -> consensus"                 
#> [590] "coregulate emotion -> consensus"                 
#> [591] "consensus -> coregulate emotion"                 
#> [592] "discuss emotion -> consensus"                    
#> [593] "consensus -> discuss emotion"                    
#> [594] "cohesion plan -> consensus"                      
#> [595] "consensus -> cohesion plan"                      
#> [596] "cohesion discuss emotion -> consensus"           
#> [597] "emotion plan -> consensus"                       
#> [598] "consensus -> emotion plan"                       
#> [599] "cohesion discuss -> plan"                        
#> [600] "plan -> cohesion discuss"                        
#> [601] "cohesion emotion -> plan"                        
#> [602] "plan -> cohesion emotion"                        
#> [603] "emotion monitor -> consensus"                    
#> [604] "cohesion discuss -> consensus"                   
#> [605] "consensus -> cohesion discuss"                   
#> [606] "monitor -> plan"                                 
#> [607] "plan -> monitor"                                 
#> [608] "discuss monitor -> consensus"                    
#> [609] "coregulate -> plan"                              
#> [610] "plan -> coregulate"                              
#> [611] "coregulate -> consensus"                         
#> [612] "consensus -> coregulate"                         
#> [613] "monitor plan -> consensus"                       
#> [614] "cohesion monitor -> consensus"                   
#> [615] "monitor -> emotion"                              
#> [616] "emotion -> monitor"                              
#> [617] "consensus discuss -> plan"                       
#> [618] "plan -> consensus discuss"                       
#> [619] "discuss -> consensus plan"                       
#> [620] "consensus plan -> discuss"                       
#> [621] "emotion -> plan"                                 
#> [622] "plan -> emotion"                                 
#> [623] "emotion -> discuss"                              
#> [624] "discuss -> emotion"                              
#> [625] "cohesion -> plan"                                
#> [626] "plan -> cohesion"                                
#> [627] "plan -> consensus"                               
#> [628] "consensus -> plan"                               
#> [629] "discuss -> consensus"                            
#> [630] "consensus -> discuss"                            
#> [631] "cohesion emotion -> consensus"                   
#> [632] "consensus -> cohesion emotion"                   
#> [633] "emotion -> consensus"                            
#> [634] "consensus -> emotion"                            
#> [635] "monitor -> consensus"                            
#> [636] "consensus -> monitor"                            
#> [637] "cohesion -> consensus"                           
#> [638] "consensus -> cohesion"                           
#> [639] "discuss -> plan"                                 
#> [640] "plan -> discuss"

Filter to the strongest:

pathways(rules, top = 5, min_lift = 1.2)
#> [1] "cohesion coregulate -> discuss emotion plan"     
#> [2] "discuss emotion plan -> cohesion coregulate"     
#> [3] "cohesion coregulate -> consensus discuss emotion"
#> [4] "consensus discuss emotion -> cohesion coregulate"
#> [5] "cohesion consensus coregulate -> discuss emotion"

Other input formats

Transaction list:

transactions <- list(
  c("plan", "discuss", "execute"),
  c("plan", "research", "analyze"),
  c("discuss", "execute", "reflect"),
  c("plan", "discuss", "execute", "reflect"),
  c("research", "analyze", "reflect")
)
association_rules(transactions, min_support = 0.3,
                  min_confidence = 0.5, min_lift = 0)
#> Association Rules  [24 rules | 6 items | 5 transactions]
#>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 0.00
#> 
#>   Top rules (by lift):
#>     1. analyze -> research  (sup=0.400 conf=1.000 lift=2.50)
#>     2. research -> analyze  (sup=0.400 conf=1.000 lift=2.50)
#>     3. discuss -> execute  (sup=0.600 conf=1.000 lift=1.67)
#>     4. execute -> discuss  (sup=0.600 conf=1.000 lift=1.67)
#>     5. discuss, plan -> execute  (sup=0.400 conf=1.000 lift=1.67)
#>     6. execute, plan -> discuss  (sup=0.400 conf=1.000 lift=1.67)
#>     7. discuss, reflect -> execute  (sup=0.400 conf=1.000 lift=1.67)
#>     8. execute, reflect -> discuss  (sup=0.400 conf=1.000 lift=1.67)
#>     9. discuss -> execute, plan  (sup=0.400 conf=0.667 lift=1.67)
#>     10. execute -> discuss, plan  (sup=0.400 conf=0.667 lift=1.67)
#>     ... and 14 more rules

Binary matrix:

mat <- matrix(c(
  1, 1, 1, 0, 0,
  1, 0, 0, 1, 1,
  0, 1, 1, 0, 1,
  1, 1, 1, 1, 0,
  1, 0, 1, 0, 1
), nrow = 5, byrow = TRUE)
colnames(mat) <- c("plan", "discuss", "execute", "research", "reflect")
association_rules(mat, min_support = 0.3, min_confidence = 0.5, min_lift = 0)
#> Association Rules  [18 rules | 5 items | 5 transactions]
#>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 0.00
#> 
#>   Top rules (by lift):
#>     1. discuss -> execute  (sup=0.600 conf=1.000 lift=1.25)
#>     2. execute -> discuss  (sup=0.600 conf=0.750 lift=1.25)
#>     3. research -> plan  (sup=0.400 conf=1.000 lift=1.25)
#>     4. plan, discuss -> execute  (sup=0.400 conf=1.000 lift=1.25)
#>     5. plan -> research  (sup=0.400 conf=0.500 lift=1.25)
#>     6. execute -> plan, discuss  (sup=0.400 conf=0.500 lift=1.25)
#>     7. discuss -> plan, execute  (sup=0.400 conf=0.667 lift=1.11)
#>     8. plan, execute -> discuss  (sup=0.400 conf=0.667 lift=1.11)
#>     9. plan -> execute  (sup=0.600 conf=0.750 lift=0.94)
#>     10. execute -> plan  (sup=0.600 conf=0.750 lift=0.94)
#>     ... and 8 more rules

Simplicial Visualization

Both link predictions and association rules integrate with cograph::plot_simplicial() for higher-order visualization. Each pathway becomes a blob grouping source nodes, pointing to the target.

library(cograph)
net_sparse <- build_network(
  group_regulation_long, method = "relative",
  actor = "Actor", action = "Action", time = "Time",
  threshold = 0.05
)

# Association rules as simplicial blobs
rules <- association_rules(net_sparse, min_support = 0.3,
                           min_confidence = 0.5, min_lift = 1.0)
plot_simplicial(net_sparse, pathways(rules, top = 5),
                title = "Top Association Rules")

Simplicial visualization of association rules

# Predicted links with structural evidence
pred <- predict_links(net_sparse, methods = "resource_allocation")
plot_simplicial(net_sparse, pathways(pred, top = 5, evidence = TRUE),
                title = "Predicted Links with Evidence",
                dismantled = TRUE)

Simplicial visualization of predicted links

The dismantled view shows each pathway in its own panel.

Both styles work:

# Via pathways() (works with any cograph version)
plot_simplicial(net, pathways(rules, top = 5))
plot_simplicial(net, pathways(pred, top = 5))

# Direct pass (requires cograph >= 1.9.0)
plot_simplicial(net, rules)
plot_simplicial(net, pred)

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
Health stats visible at Monitor.