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Table 2 The true Prob(X<Y) for each scenario in the simulation study

From: t-tests, non-parametric tests, and large studies—a paradox of statistical practice?

 

Gamma distributions

 

Lognormal distributions

 

Skewness

 

Skewness

Std.ratio

1.0

2.0

3.0

4.0

 

1.0

2.0

3.0

4.0

1.05

0.50

0.51

0.54

0.58

 

0.50

0.51

0.51

0.51

1.10

0.51

0.52

0.56

0.61

 

0.51

0.51

0.52

0.52

1.15

0.51

0.53

0.57

0.62

 

0.51

0.52

0.53

0.53

1.20

0.52

0.54

0.58

0.64

 

0.52

0.53

0.53

0.54

1.25

0.52

0.54

0.59

0.64

 

0.52

0.53

0.54

0.56

1.30

0.52

0.55

0.60

0.66

 

0.52

0.53

0.55

0.55

1.40

0.53

0.56

0.61

0.67

 

0.52

0.54

0.56

0.57

1.50

0.53

0.57

0.62

0.68

 

0.53

0.55

0.56

0.58