This guide illustrates how to perform a variety of nonparametric tests. For information on nonparametric correlations and measures of association, see the page Nonparametric Correlations.
One-Sample Nonparametric Tests
- From an open JMP data table, select Analyze > Distribution.
- Select one or more continuous variables from Select Columns, click Y, Columns, and click OK. The variable ‘Horsepower’ was used in this example.
- From the Distributions report window, click on the red triangle for the variable and select Test Mean.
- Enter the hypothesized value under Specify Hypothesized Mean, check the Wilcoxon Signed Rank box, and click OK. The hypothesis being tested under the Wilcoxon Signed Rank test is: H0: Median = 140 vs. HA: Median ≠ 140
The following results for both the one-sample t-Test and the Signed-Rank are provided.
- The test statistics (the t-Test and Signed-Rank).
- P-values for both one- and two-tailed tests. The p-value for the two-tailed test is next to Prob > |t|.
Use Car Physical Data.jmp (Help > Sample Data Folder)Use Car Physical Data.jmp (Help > Sample Data Folder)
Two-Sample and Oneway Nonparametric Tests
- Select Analyze > Fit Y by X.
- Select a continuous variable and click Y, Response, and select a categorical variable and click X, Factor, then click OK. The Oneway Analysis output window will display.
- Under the red triangle, select Nonparametric > Wilcoxon Test / Kruskal-Wallis Test to perform the analysis adding results to the report.
- If the categorical variable has only two levels, both the Normal Approximation and ChiSquare Approximation test statistics and corresponding p-values with be shown.
- If the variable has three or more levels, only the ChiSquare Approximation will be performed.
Note: the Wilcoxon / Kruskal-Wallis Rank Sum Test is sometimes called the Mann-Whitney Test.
A test on Horsepower amount across two country levelsA test on Horsepower amount across two country levels
test on Horsepower amount across three country levelstest on Horsepower amount across three country levels
Visit Basic Analysis > Distributions > Options for Continuous Variables > Test Mean, Basic Analysis > Oneway Analysis > The Oneway Platform Options, Basic Analysis > Oneway Analysis > Oneway Analysis Reports to learn more.
