For my data analysis, I used the Kruskal Wallis test because there is no variance homogeneity and no normal distribution. As a post hoc test, I used the Games-Howell test with Turke's p-value. Can I now calculate the effect size, which Jasp does not show me for the individual post-hoc tests, simply by hand from my descriptive data?
Yes or you can use a free effect size calculator app such as Marley Watkins' effect size calculator which will calculate different effect size measures from descriptive statistics. If you simply Google "Marley Watkins effect size calculator", you should be able to find it.
Games-Howell test is the sound choice since it is designed for situations in which the variances are unequal. Concerning the effect size calculation, you could consider free online effect size calculators such as the one referenced below.
Uanhoro, J. O. (2017). Effect Size Calculators. https://effect-size-calculator.herokuapp.com/
Good luck,
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