Jon S. answered 08/19/20
Patient and Knowledgeable Math and English Tutor
The type of test to use depends on what kind of analysis you want to perform and what kind of data you have and whether the assumptions for a particular type of test can be met.
Correlational tests look for the association between variables. Pearson correlation is strength of association between two continuous variables. Spearman correlation is strength of association between two ordinal variables. Chi-square is strength of association between two categorical variables.
Comparison of means. Paired t test - differences between two related variables. Independent t-test - differences between two independent variables. ANOVA - differences between group means after variance in outcome is accounted for.
Regression - simple regression - change in predictor variable predicts changed in level of outcome variable. Multiple regression - change in combination of two or more predictor variable predict level of change in outcome variable
Non-parametric - when data does not meet assumptions for above parametric tests. Wilcoxon rank-sum test - difference between two independent variable (takes into account magnitude and direction of difference). Wilcoxon sign-rank test - tests for differences between two related variables - takes into account magnitude and direction of difference. Sign test - tests if two related variables are different - ignores magnitude of change, only takes into account direction.