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