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In linear models and particularly in ANOVA, a contrast is a linear combination of parameters with coefficients summing up to zero. It is used to test the corresponding null hypothesis. Contrasts are especially often used with categorical predictors (factors) to make comparisons among the groups (categories). [See also tag 'categorical-encoding']
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Effect size in contrast analysis
I'm running 2-way repeated measures ANOVA (3 and 5 levels) with planned contrasts afterwards. I'm interested in comparing
1)levels of the first factor among themselves (e.g. … If so, how the contrasts should be calculated? I don't think the standard formula for Cohen's d works in this case since it doesn't take into account the correlation. …