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chapter 1

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Chapter 11: Multifactor Analysis of Variance31.xij.B 1 B 2 B 3A 1 210.2 224.9 218.1A 2 224.1 229.5 221.5A 3 217.7 230.0 202.0x. j.652.0 684.4 641.6xi . kA 1 A 2 A 3C 1 213.8 222.0 205.0C 2 225.6 226.5 223.5C 3 213.8 226.6 221.2xi..653.2 675.1 649.7x . jkC 1 C 2 C 3B 1 213.5 220.5 218.0B 2 214.3 246.1 224.0B 3 213.0 209.0 219.6x .. k640.8 675.6 661.6222ΣΣx ij.= 435,382.26 ΣΣx 435,156. 74 x 435,666. 36i . k=ΣΣ. jk=222Σx . j .= 1,305,157.92 Σx i..= 1,304,540. 34 Σx.. k= 1,304,774. 562Also, ΣΣΣx ijk= 145,386. 40 , x...=1978,CF = 144,906.81, from which we obtain theANOVA table displayed in the problem statement. F 7. 01, so the AB and BC. 01,4,8=interactions are significant (as can be seen from the p-values) and tests for main effects arenot appropriate.331

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