After significant post-hoc-tests for the one-Way ANOVA in R an effect size calculation is highly recommended. Since post-hoc-testing for the one-way ANOVA is doing pairwise independent t-tests, the proper effect size is Cohen's d.
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The magnitude of the effect size is classified with comparable studies or research field specific thresholds. If neither exist, you can refer to Cohen (1992): A Power Primer on page 157.
📚 Literature:
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- Cohen, J. (1992): Quantitative methods in psychology: A power primer. Psychological bulletin, pp. 155-159.
- Wasserstein, R. L., & Lazar, N. A. (2016). The ASA statement on p-values: context, process, and purpose. The American Statistician, 70(2), 129-133.
⏰ Timestamps:
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0:00 Introduction and prerequisites
0:17 Calculating Cohen's d
0:37 Classifying Cohen's d
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