STAT 705 Spring 2010 -------------------- Homework 6 ---------- 21.5(a,b,d), 21.6(a,c,d,e), 21.11, 21.13(b,c,d,f), 28.3, 28.7(b,d,e), 28.13(a), 28.14, 28.15(a,b,c), 28.16(b) 18.25, 18.27, 22.1, 22.6, 22.9(b,c), 22.10(a,b,c,d,f), 22.23 NOTE: Problems 21.5, 21.6, 21.13, 28.6, 28.14, 28.15, 18.25, 22.9, 22.10 require analysis using a computer package such as SAS or R. NOTE: For 28.3, look on page 1174 for the definitions of n and n_p. HINT: For 28.7, do you think the 12 washing periods (the blocks) are fixed or random? Do you think a population of washing periods is of interest, or just these 12 washing periods? NOTE: For 28.14, do the residual plot (vs. fitted values), the normal Q-Q plot, and the Shapiro-Wilk test. NOTE: For 18.25, where it says "nonparametric rank F test", do the Kruskal-Wallis test (they are equivalent). NOTE: For 22.9(b), do the residual plot (vs. fitted values), the normal Q-Q plot, and the Shapiro-Wilk test (and state your conclusions). NOTE: For 22.10(c), you don't have to fit the full and reduced models separately if you let SAS or R do the appropriate F-test. HINT: For 22.10(f), to decide which is "more efficient", compare (22.18) to the square root of (22.17) on page 930. HINT: For 22.23, note that you are deriving the LS estimator for ANY PARTICULAR delta_i. So if you want, you could derive it for delta_1, and then just generalize your result. In any case, note that in #22.23 you will be solving two equations with two unknowns. The "Auditor Training", "Auditor Training #21.13", "Detergent Effectiveness", "Hardware Sales", "Telephone Communications" and "Questionnaire Color #22.9" data sets are given on the course web page. Please write your answers neatly and clearly!