Learning Objectives

After reading this chapter, you should be able to do the following:

  • Explain when to use a two-factor analysis of variance (ANOVA)
  • Describe the three F ratios generated by a two-factor ANOVA
  • Write null and research hypotheses for the main effects and interaction F tests
  • Identify which means are compared when computing each main effect and interaction F tests
  • Complete an ANOVA summary table
  • Define the critical region for each F test
  • Determine whether you should reject each null hypothesis
  • Compute effect sizes for each main effect and the interaction, and describe each as small, medium, or large
  • Use SPSS to perform a two-factor ANOVA and create a graph of the main effects and interaction
  • Use SPSS to compute simple effect analyses
  • Summarize the results of the ANOVA using American Psychological Association (APA) style
  • Interpret the SPSS output for a two-factor ANOVA