The SPSS for Beginners guide is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The SPSS for Beginners guide is adopted from Analyze Data: SPSS by the McLaughlin Library, University of Guelph licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The Chi-Square Test is used to test whether two categorical (nominal) variables are associated with each other. This test assumes that the observations are independent, and that the expected frequencies for each category should be at least 1 (NOTE: no more than 20% of the categories should have expected frequencies less than 5).
Note that this is a non-parametric test. There is no parametric version of a Chi-Square Test of Independence.
HOW TO RUN A CHI-SQUARE FOR CROSSTABS
The Spearman’s rank-order correlation is used to determine the strength and direction of a relationship of the rankings of two variables. The variables can be ordinal or continuous. This test does not assume the variables are normally distributed. However, the relationship between the ranked values should be monotonic (i.e., an increasing OR decreasing relationship; not increasing AND decreasing).
Note that this is a non-parametric test; you could / should use a Spearman’s rank-order correlation if the normality assumption has been violated for your Pearson correlation (i.e., the parametric equivalent). You can also use this test if you wish to conduct a correlation on ordinal data (note: Pearson’s would not be appropriate here).
HOW TO RUN A SPEARMAN CORRELATION
The Wilcoxon signed-rank test is used to determine whether the median of a single continuous variable differs from a specified constant (similar to a one-sample t-test) AND / OR whether the median of two continuous variables from the same group of participants differ (similar to a paired-samples t-test). Both versions of this test do not assume that the data are normally distributed.
Note that this is a non-parametric test; you could / should use the Wilcoxon signed-rank test if the normality assumption has been violated for your one-sample t-test or a paired-samples t-test (i.e., the parametric equivalents).
HOW TO RUN A WILCOXON SIGNED-RANK TEST (ONE-SAMPLE T-TEST VERSION)
The Mann-Whitney U test is used to determine whether two groups’ medians on the same continuous variable differ (similar to an independent samples t-test). This test does not assume that the data are normally distributed, but is does assume that the distributions are the same shape.
Note that this is a non-parametric test; you could / should use the Mann-Whitney U test if the normality assumption has been violated for your independent samples t-test (i.e., the parametric equivalent).
HOW TO RUN A MANN-WHITNEY U TEST
The Kruskal-Wallis H test is used to determine whether three or more groups’ medians on the same continuous variable differ (similar to a one-way ANOVA, with independent groups). This test does not assume that the data are normally distributed, but it does assume the distributions are the same shape.
Note that this is a non-parametric test; you could / should use the Kruskal-Wallis H test if the normality assumption has been violated for your one-way ANOVA with independent groups (i.e., the parametric equivalent).
HOW TO RUN A KRUSKAL-WALLIS H TEST
How to run a Kruskal-Wallis H test
The Friedman test is used to determine whether one groups’ ranking on three or more continuous or ordinal variables differ (similar to a repeated measures one-way ANOVA). This test does not assume that the data are normally distributed, but it does assume the distributions are the same shape.
Note that this is a non-parametric test; you could / should use the Friedman test if the normality assumption has been violated for your repeated measures one-way ANOVA (i.e., the parametric equivalent).
HOW TO RUN A FRIEDMAN TEST