Part 1: Effects of Laundry Cycles and Washing Method on Denim Abrasion Dataset: denim_abrasion.dat Source: A. Card, M.A. Moore, M. Ankeny (2996). "Garment Washed Jeans: Impact of Launderings on Physsical Properties," International Journal of Clothing Science and Technology, Vol. 18, 1/2, pp. 4352. Description: Effects of Laundering Cycles and denim treatment on edge abrasion of denim jeans. Data simulated to match means/SOS Variables/Columns: Laundry Cycles 8 1* 1: Control {3), 2:5 Launderings, 3:25 */ Denim Treatment 16 /* 1=Preewashed, 2=Stone7Washed, 3=Enzyme Washed */ Edge abrasion Score 1824 1* Lower scores mean higher damage *1 a) Give the cell means, marginal means, and overall mean for this study. Let Factor A be Cycles, and Factor B be Denim Treatment (Washing Method) b) Fit the two-way ANOVA with interaction. Give the ANOVA table including: Sources, Degrees of Freedom, Sums of Squares, Mean Squares, Fstatistics c) Test whether there is an interaction between Cycles and Wash method (a = 0.05). [1) Test whether there are Main Effects for Cycles and Wash method (each at 0: = 0.05). e) Give an interaction plot of the means f) Make appropriate pairwise comparisons (all 9 treatments if interaction is signicant; cycles and wash methods individually without interaction} based on Tukey's HSD and Bonferroni's method. g) Use Hartley's test to determine whether the equal variances assumption is appropriate. h) Plot the residuals versus fitted values. Does constant variance model seem appropriate