How to calculate the effect size for the one sample Wilcoxon test in SPSS

After conducting the one sample Wilcoxon-test in SPSS with the result of a difference between sample median and population median (or hypothesized median), an effect size is needed to quantify/classify the magnitude of this effect. For the one sample Wilcoxon-test, r is suitable.
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SPSS does unfortunately not provide that effect size calculation. So, you have to do the calculation by hand. r is a simple division of the standardized test statistics and the sqaure root of the number of observations. Thanksfully, SPSS provides both in its output when doing a one sample Wilcoxon signed-rank test.

Be aware that the classification of the effect size r is reasearch field specific. For the social and behavioral sciences, the paper Cohen, J. (1992), A Power Primer, p. 157 is usually cited:

📚 Cohen, J. (1992): Quantitative methods in psychology: A power primer. Psychological bulletin, pp. 155-159.


⏰ Timestamps:
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0:00 Introduction
0:10 Calculation of the effect size r
0:54 Classification of the effect size r


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