Calculating Cohen's d

Question

I have two groups (experimental and control) and a measure (an estimate of confidence) measured at baseline and at post-intervention. I have ran a multiple regression and found that the intervention condition (experimental or control) has a significant effect on baseline to post-intervention confidence. Based on some other StackExchange posts, I calculated Cohen's f-squared as a measure of effect size. However, I also need to calculate the Cohen's d because it is the more commonly reported measure of effect size. To calculate Cohen's d, do I compare baseline of experimental vs. post_intervention of experimental OR (baseline-post_intervention) of experimental vs. (baseline-post_intervention) of control? I realize the question indicates a lack of basic understanding, but I could really use some help.

You could calculate Cohen's d for whichever pairs of groups you want. However, there's some discussion about how to calculate Cohen's d for groups from a larger regression model, as the standard error from the analysis isn't simply the standard deviation from any of the groups. — Sal Mangiafico, Feb 06 '23 at 17:52
I don't have any specific recommendations for publications on this, but you might start with this discussion: stats.stackexchange.com/questions/603792/whats-the-appropriate-effect-size-estimate-and-power-analysis-for-post-hoc-re. ... As mentioned there, if you are using R, and a general linear model, the eff_size() function in the emmeans package calculates a Cohen's d -like effect sizes from the model. — Sal Mangiafico, Feb 06 '23 at 19:25

Calculating Cohen's d

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