Answer True of False to each of the following statements and include a short justification for your answer:

a. If 5 contrasts Cl, 2, 3, 4, 5 are mutually orthogon SSCI , SSC2, SSCa , , SSC5, are independent. b. For CI = and = di#i, - their 5 Sum of squares O then Cl and C2 are orthogonal. c. If 5 contrasts (31, C2, C3, (34, are mutually orthogonal, then SSTRT = SSCI -f- SSC2 -+- -F -f- SSC5 d. A multiple comparison procedure which controls the False Discovery Rate (FDR) at level .01 will find fewer pairs of treatment means to be different than a multiple comparison procedure which controls the Family Wide Error Rate (FWER) at level .01. e. The Tukey HSD procedure has an exact FWER. f. The Fisher's protected LSD procedure has an exact FWER. 6 g. The SNK procedure has an exact FA,VER. h. The Dunnett procedure has an exact FWER. i. The Hsu procedure has an exact F\VER. j. An experiment was conducted in which the. treatments in a CRD are dose. levels of a drug: O, 5, 15, 30, 50 ml/kg of weight of the EU. There were r=10 EU's per treatment. The contrasts specified in Table XI in the textbook can be used to conduct a test for Linear, Quadratic, Cubic, and Quartic trends in the dose level means.