Study Design Hypotheses Parameters Test Statistics SOCR Tools Dependent Variables Independent Variables Number Type & Assumptions Number Type Hypotheses Parameter Statistical Tests Demos Analyses 1 continuous normal None (1 population) N/A Ho:μ=0 Ha:μ≠0 mean one-sample T-test Analyses continuous non-normal Ho:m=mo Ha:m≠mo median one-sample median, Sign-test categorical Ho:p=po Ha:p≠po proportions χ2 goodness-of-fit, binomial test Binomial Coin Exper Survival Analysis Kaplan-Meier Analyses normal 1 (2 independent populations) 2 categories Ho:μo=μ1 Ha:μo≠μ1 mean 2 independent sample T-test Analyses non-normal Ho:m=mo Ha:m≠mo medians Mann Whitney, Wilcoxon rank sum test, Two-Sample Median Test Analyses categorical Ho:p=po Ha:p≠po proportions χ2 test Fisher's Exact test Analyses normal None (1 population measured twice) or 1 (2 paired populations) N/A or categorical Ho:μo=μ1 Ha:μo≠μ1 means paired T-test Analyses non-normal Ho:m=mo Ha:m≠mo medians Wilcoxon signed ranks test Analyses categorical Ho:p=po Ha:p≠po proportions McNemar, χ2 test Analyses normal 1 (≥3 populations) categorical Ho:μo=...=μk Ha:μi≠μj means one-way ANOVA Analyses non-normal Ho:mo=...=mk Ha:mi≠mj medians Kruskal Wallis Analyses categorical Ho:po=...=pk Ha:pi≠pj proportions χ2 test Analyses normal ≥2 (e.g., 2-way ANOVA) categorical Ho:aoμo+...+akμk=0 Ha:aoμo+...+akμk≠0 means Factorial ANOVA non-normal TBD medians Friedman test categorical TBD proportions log-linear, logistic regression normal None (1 population measured  ≥3 times) N/A TBD means Repeated measures ANOVA normal 1 continuous TBD correlation, simple linear regression Analyses non-normal non-parametric correlation categorical categorical or continuous logistic regression continuous discriminant analysis normal ≥2 continuous multiple linear regression non-normal categorical logistic regression normal mixed categorical & continuous ANCOVA, GML non-normal categorical logistic regression 2 normal ≥2 categorical MANOVA ≥2 normal ≥2 continuous multivariate multiple linear regression 2 sets of  ≥2 normal 0 N/A canonical correlation ≥2 normal 0 N/A factor analysis Power Analysis Power Applet