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We follow the testing framework introduced in Balcilar, Gupta, and Pierdzioch (2016) and Balcilar et al. (2016).
library(nonParQuantileCausality)
data(gold_oil)
# use first 500 rows
gold_oil <- gold_oil[1:501,]
q_grid <- seq(0.05, 0.95, by = 0.05)
# Causality in conditional mean (does Oil_t-1 cause Gold_t?)
res_mean <- np_quantile_causality(
x = gold_oil$Oil,
y = gold_oil$Gold,
type = "mean",
q = q_grid
)
res_mean
## $statistic
## [1] 0.5714180 1.2387415 1.2852325 5.0139738 28.5733057 33.2290576
## [7] 24.1403710 33.5687605 32.7787184 29.0534395 21.7815491 17.5309699
## [13] 12.6467496 8.5343776 4.8681249 2.3873202 0.8908481 0.6262628
## [19] 0.5768538
##
## $quantiles
## [1] 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75
## [16] 0.80 0.85 0.90 0.95
##
## $bandwidth
## [1] 5.277595
##
## $type
## [1] "mean"
##
## $n
## [1] 500
##
## $call
## np_quantile_causality(x = gold_oil$Oil, y = gold_oil$Gold, type = "mean",
## q = q_grid)
##
## attr(,"class")
## [1] "np_quantile_causality"
# Causality in conditional variance
res_var <- np_quantile_causality(
x = gold_oil$Oil,
y = gold_oil$Gold,
type = "variance",
q = q_grid
)
res_var
## $statistic
## [1] 0.5736890 1.2650061 1.2852325 1.7193656 9.9986456 12.8120752
## [7] 28.0885519 30.5262840 32.5687650 24.9263036 23.3006958 15.8487117
## [13] 12.3373828 8.2520515 4.9858627 2.2036083 0.8908481 0.6262628
## [19] 0.5350642
##
## $quantiles
## [1] 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75
## [16] 0.80 0.85 0.90 0.95
##
## $bandwidth
## [1] 5.277595
##
## $type
## [1] "variance"
##
## $n
## [1] 500
##
## $call
## np_quantile_causality(x = gold_oil$Oil, y = gold_oil$Gold, type = "variance",
## q = q_grid)
##
## attr(,"class")
## [1] "np_quantile_causality"
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