Write out equations to show how regression can be used to duplicate a t test or a one-way ANOVA.
Answer to relevant QuestionsConsider the following actual data from a study by Lyon & Greenberg (1991). The first factor in their factorial ANOVA was family background; female participants were classified into two groups (group 1, “Codependent”, ...What information do you need to judge the statistical significance, and the effect size for each of these sources of variance: A, B, and A x B? What is an R2inc? How is the R2inc for a single variable that enters in a particular step related to the srinc2 for that same single variable in the same step? How can we obtain significance tests for sets or blocks of predictor variables? Give an example of a three variable study for which a mediation analysis would make sense. Be sure to make it clear which variable is the proposed initial predictor, mediator, and outcome.
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