The SAS System

The UNIVARIATE Procedure
Variable: extra

Moments
N 20 Sum Weights 20
Mean 1.54 Sum Observations 30.8
Std Deviation 2.01791972 Variance 4.072
Skewness 0.45185739 Kurtosis -0.7747436
Uncorrected SS 124.8 Corrected SS 77.368
Coeff Variation 131.033748 Std Error Mean 0.45122057

Basic Statistical Measures
Location Variability
Mean 1.54000 Std Deviation 2.01792
Median 0.95000 Variance 4.07200
Mode -0.10000 Range 7.10000
    Interquartile Range 3.45000

Note: The mode displayed is the smallest of 3 modes with a count of 2.


Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 3.412965 Pr > |t| 0.0029
Sign M 4.5 Pr >= |M| 0.0636
Signed Rank S 67.5 Pr >= |S| 0.0048

Quantiles (Definition 5)
Level Quantile
100% Max 5.50
99% 5.50
95% 5.05
90% 4.50
75% Q3 3.40
50% Median 0.95
25% Q1 -0.05
10% -0.70
5% -1.40
1% -1.60
0% Min -1.60

Extreme Observations
Lowest Highest
Value Obs Value Obs
-1.6 2 3.4 20
-1.2 4 3.7 7
-0.2 3 4.4 16
-0.1 15 4.6 19
-0.1 5 5.5 17



The SAS System

The TTEST Procedure
 
Variable: extra

group Method N Mean Std Dev Std Err Minimum Maximum
1   10 0.7500 1.7890 0.5657 -1.6000 3.7000
2   10 2.3300 2.0022 0.6332 -0.1000 5.5000
Diff (1-2) Pooled   -1.5800 1.8986 0.8491    
Diff (1-2) Satterthwaite   -1.5800   0.8491    

group Method Mean 95% CL Mean Std Dev 95% CL Std Dev
1   0.7500 -0.5298 2.0298 1.7890 1.2305 3.2660
2   2.3300 0.8977 3.7623 2.0022 1.3772 3.6553
Diff (1-2) Pooled -1.5800 -3.3639 0.2039 1.8986 1.4346 2.8077
Diff (1-2) Satterthwaite -1.5800 -3.3655 0.2055      

Method Variances DF t Value Pr > |t|
Pooled Equal 18 -1.86 0.0792
Satterthwaite Unequal 17.776 -1.86 0.0794

Equality of Variances
Method Num DF Den DF F Value Pr > F
Folded F 9 9 1.25 0.7427