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If you want to know if there is a significant difference in the "before" and "after", then you probably should do a Paired t-test. These tests are done when the same individuals are measured twice. When you perform the Paired t-test, you choose the significance level that you want and then you check the p-value obtained from the test. If ...


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It think you could be interested in this paper. Basically, I think it is up to you to decide what model is better. Complete reference : Lorah, J. A. (2020). Interpretation of main effects in the presence of non-significant interaction effects. The Quantitative Methods for Psychology, 16(1), 33-45. https://doi.org/10.20982/tqmp.16.1.p033


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The two-way mixed and two-way random methods will yield identical ICC values, so this choice will likely be inconsequential. The only difference is in interpretation: The two-way mixed model treats rater as a fixed effect, the two-way random model treats it as a random effect. The estimated ICCs will however be the same, see e.g., Table 4 in McGraw & ...


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