Fundamental Rule:

Choose the most powerful test possible.

 

STATISTICAL ANALYSIS

 

How to choose the appropriate test…

 

Ask: 

How many groups?

Independent or Dependent Design?

Assumptions for test met?

 

PARAMETRIC TESTS

 

Independent t-test

 

Dependent (Paired or Repeated measures) t-test

 

ANOVA

Posthoc tests to compare group means

 

Assumptions

·        Are samples normally distributed?

o       Skewness and Kurtosis Rule

·        Are samples interval or better data?

·        H.O.V.  (Homogeneity of Variance)

o       This assumption only applies to independent design

o       Four-fold Rule

 

NON-PARAMETRIC TESTS

 

Independent with two conditions: Mann-Whitney U-test

 

Dependent with two conditions:  Wilcoxon or Sign Test

·        Wilcoxon is more powerful than the Sign Test

 

Multigroup: Kruskal-Wallis

 

NOMINAL DATA

 

Chi-Square Test