ABSTRACT
This chapter discusses numerous analyses that are appropriate for complex designs. These are designs with more than one independent variable. The chapter covers two major sections: analyses applied to complex difference questions and analyses applied to complex associational questions. It includes two-factor between-groups Analysis of variance (ANOVA), two-factor within-subjects ANOVA, and mixed ANOVA. The chapter describes different methods of analysis depending on whether the design was randomized experimental or quasi-experimental. It focuses on three analyses in particular: the two-factor between-groups analysis of variance; the mixed analysis of variance with reference to the analysis of designs that includes a pretest and posttest; and multiple regressions. The chapter discusses three common methods of multiple regressions: hierarchical, simultaneous, and stepwise. It describes two other methods for analyzing complex associational designs when the dependent variable is dichotomous: discriminant analysis and logistic regression. The chapter presents the hypothetical results to illustrate how to interpret a significant interaction.
