Assume specific population parameters, such as normal distribution, equal variances, and that the data is measured in continuous variable
Nonparametric tests
Do not require the assumptions of parametric tests. Used when one of the assumptions of parametric tests is violated
Parametric tests
More powerful and efficient when assumptions are met
Nonparametric tests
More robust and applicable in situations where assumptions are violated
Most parametric tests have their own nonparametric counterparts
If any of the assumptions are violated, then opt for the nonparametric test for the analysis you are planning to conduct
One-Sample T-Test
Compare the mean of a single sample to a known or hypothesized population mean
One-Sample T-Test
There is only one group involved, each participant is measured once
Nonparametric counterpart to One-Sample T-Test
Wilcoxon One-Sample Signed Rank Test
Independent-Sample T-Test
Compare the means of two independent groups to assess whether there is a statistically significant difference between them
Independent-Sample T-Test
There are two distinct groups, each participant is measured once
Nonparametric counterpart to Independent-Sample T-Test
Mann-Whitney U Test
Dependent-/Paired-Sample T-Test
Compare the means of two related groups or conditions to assess whether there is a statistically significantdifference between them
Dependent-/Paired-Sample T-Test
There is only one group, each participant is measured twice under different conditions or at two different time points
Nonparametric counterpart to Dependent-/Paired-Sample T-Test
WilcoxonSigned-Ranktest
One-Way Analysis of Variance (ANOVA)
Compare the means of three or more independent groups to assess whether there are statistically significant differences among them
One-Way ANOVA
There are three or more distinct groups, each participant is measured once
Nonparametric counterpart to One-Way ANOVA
Kruskal-Wallis H Test
Repeated Measures ANOVA
Compare the means of a dependent variable across multiple conditions or time points within the same subjects to determine if there are statistically significant differences
Repeated Measures ANOVA
There is only one group of subjects, each subject is measured three or more times under different conditions or at different time points
Nonparametric counterpart to Repeated Measures ANOVA
Friedman Test
Repeated Measures ANOVA
A statistical test used to analyze the mean differences in a dependent variable measured under three or more conditions or time points on the same subjects.
Two-Way ANOVA
A statistical test used to analyze the effects of two independent variables on a dependent variable, as well as the interaction between the two independent variables.
Two-way ANOVA is a statistical test used to analyze the effects of twoindependentvariables on a dependent variable, as well as the interaction between the two independent variables.
Pearson'sCorrelation (Pearson's r)
A statistical measure that quantifies the strength and direction of the linear relationship between two continuous variables.
SpearmanRank-OrderCorrelation
A nonparametric test used to determine the degree of association between twovariables when the data is notnormallydistributed or the relationship is notlinear.
Simple Linear Regression
Used to model and quantifytherelationship between twocontinuous variables, where one variable (the predictor or independent variable) is used to predict or estimate the value of another variable (the outcome or dependent variable).
Multiple Linear Regression
Used to model and analyze the relationship between onedependent variable and twoormoreindependent variables by fitting a linearequation to the observed data.