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- 1$\begingroup$ Thank you @EdM for your extremely insightful responses to this issue. My understanding is that you support the approach I have used which is great. I am currently submitting this article for publication in an academic journal, and therefore, need a reference in order to support my approach to the reviewers. Are you aware of any resources that directly address my issue that I could cite? Thank you once again! $\endgroup$Zachary McClean– Zachary McClean2022-10-26 19:31:42 +00:00Commented Oct 26, 2022 at 19:31
- 2$\begingroup$ @ZacharyMcClean I happen to have this ancient text on hand. Section 16.2.2, page 180: "If the interaction effect is found to be significant, do not test the main effects even if they appear not to be significant. The estimation of the main effects and their significance is coding dependent when interactions are included in the model." Also, see this page and its links on whether you need to evaluate the significance of an initial ANOVA test when there are pre-planned comparisons. $\endgroup$EdM– EdM2022-10-26 21:28:26 +00:00Commented Oct 26, 2022 at 21:28
- $\begingroup$ Thank you @EdM I believe that this is perfect! $\endgroup$Zachary McClean– Zachary McClean2022-10-27 15:05:10 +00:00Commented Oct 27, 2022 at 15:05
- $\begingroup$ I think equivalence of the main effect with effect for the reference category holds true for a regression, but for ANOVA results do not depend on the reference group chosen, since comparison is wrt the grand mean, not a reference category: theanalysisfactor.com/… $\endgroup$Federico Tedeschi– Federico Tedeschi2023-04-26 15:03:49 +00:00Commented Apr 26, 2023 at 15:03
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