What statistical analysis should I use?

The following table summarizes the parametric and non-parametric analyses.


omparison of Statistical Analysis Tools for Normally and Non-Normally Distributed Data
Tools for Normally Distributed Data Equivalent Tools for Non-Normally Distributed Data Distribution Required
T-test Mann-Whitney test; Mood’s median test; Kruskal-Wallis test Any
ANOVA Mood’s median test; Kruskal-Wallis test Any
Paired t-test One-sample sign test Any
F-test; Bartlett’s test Levene’s test Any
Individuals control chart Run Chart Any
Cp/Cpk analysis Cp/Cpk analysis Weibull; log-normal; largest extreme value; Poisson; exponential; binomial

The following links from UCLA explain these items briefly:



 When two predictors do not interact, we say that each predictor has an "additive effect" on the response.



In regression:

Low p-values don’t necessarily identify predictor variables that are practically important.