A scientist examined the effects of two methods of stress reduction (pilates and meditation). Based on previous research, the researcher feels that gender may have some role on the effects of stress reduction efforts. With this in mind, the researcher randomly assigned 16 participants (8 men and 8 women) to one of the two stress reduction methods. At the conclusion of the study period, each participant completed a stress inventory (lower scores indicate less stress). The researcher then analyzed the data using a factorial ANOVA. Gender Method Men Woman Pilate 36 42 39 40 39 39 38 42 Mediation 55 58 57 52 42 38 40 39 1. Use SPSS to calculate a two-factor ANOVA with alpha .05 to evaluate the main effects and interaction. 2. Does the data violate the homogeneity of variance assumption? Explain your answer with SPSS analysis and with hand calculation analysis. 3. Sketch a graph of the data pattern and label the axes correctly. 4. Calculate by hand a two-factor ANOVA with alpha = .05 to evaluate the main effects and interaction. Make sure that you outcomes of your calculations match (within rounding) to those reported by SPSS. 5. Calculate and describe the pattern of significant simple main effects (SMEs)