chapter 1

Chapter 11: Multifactor Analysis of Variance40.a. In the accompanying ANOVA table, effects are listed in the order implied by Yates’2algorithm. = 4783. 16, soΣΣΣΣΣ ijklmx , x.....= 388. 142368.14SST = 4783.16 −32= 72.56 and SSE = 72.56 – (sum of all other SS’s) =35.85.Source Df SS MS fA 1 .17 .17 < 1B 1 1.94 1.94 < 1C 1 3.42 3.42 1.53D 1 8.16 8.16 3.64AB 1 .26 .26 < 1AC 1 .74 .74 < 1AD 1 .02 .02 < 1BC 1 13.08 13.08 5.84BD 1 .91 .91 < 1CD 1 .78 .78 < 1ABC 1 .78 .78 < 1ABD 1 6.77 6.77 3.02ACD 1 .62 .62 < 1BCD 1 1.76 1.76 < 1ABCD 1 .00 .00 < 1Error 16 35.85 2.24Total 31b. F 4. 49 , so none of the interaction effects is judged significant, and only the D. 05,1,16=main effect is significant.241. = 3,308, 143ΣΣΣΣΣ ijklmx , x 956.....=11,( rast )SST = 328,607.98. Each SS is effectcont, so CF =( 11,956)482= 2,979,535.02 , and48and SSE is obtained by subtraction. TheANOVA table appears in the answer section. F 4. 15 , a value exceeded by the Fratios for AB interaction and the four main effects.2. 05,1,32≈338