I have obtained Partial Eta Squared Numbers through Two-Way Mixed Anova Analysis. My results for different constructs are: .105, .135, .038, .068, .061 respectively. I wanted to know, whether there is a way to report these sizes as low, medium or high. I have searched and found the following:
Lakens (2013) cautions against using the following benchmarks given by Cohen (1988): small (η2 = 0.01), medium (η2 = 0.06), and large (η2 = 0.14). Lakens (2013) cites the assumptions of Cohen (1988) as well as explanation of Olejnik and Algina (2003) to point out that use of these benchmarks while interpreting the partial eta-squared effect sizes in repeated measures studies is not appropriate. So this tells me, what not to do.
Can someone guide me on how to interpret these results.
Hello Aditya Agrawal. You should interpret them compared to what constitutes a large or important effect in the literature of your specific area/context instead of the known benchmarks.
For practical significance, you should use your judgment heeding contextual considerations. A good example is the effect of taking daily aspirin on preventing heart attacks. Its effect size is small; however, its practical significance is large (i.e., preventing death).
Also, knowing the confidence interval around an effect size could help you make a sound decision about its practical significance. The narrower the confidence interval is, the closer the effect size in the population is to the computed one.
Good luck,
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