14.3: Critical values for the Mann-Whitney-Text

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There are three tables, one for \(p\) < 0.05, one for \(p\) < 0.01 and one for \(p\) < 0.001 (all for two-tailed tests).

Starting with the first table, perform the following steps.
- Find the smaller one of your sample sizes in the rows labelled m and the larger of your sample sizes in the columns labelled n.
- Find the cell at the intersection of the row and the column.
- If your U value is smaller than or equal to the value in this cell, your result is significant at the level given above the table.
Repeat the three steps with the second table. If your U value is larger than the value in the appropriate cell, stop and report a significance level of 0.05. If it is smaller or equal to the value in the appropriate cell, go to 3.
Repeat the three steps with the third table. If your U value is larger than the value in the appropriate cell, report a significance level of 0.01. If it is smaller or equal to the value in the appropriate cell, report a significance level of 0.001.

Critical Values for the Two-Sided Mann-Whitney Test (\(p\) < 0.05)

Critical Values for the Two-Sided Mann-Whitney Test (\(p\) < 0.01

Critical Values for the Two-Sided Mann-Whitney Test (\(p\) < 0.001)