mont4e_sm_ch14_mind

# mont4e_sm_ch14_mind - Mind Expanding Exercises 14-67 The...

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14-80 Mind Expanding Exercises 14-67 The ABCD interaction is [] [ ] 1 8 1 () + + + + + + + − ++++ + + + ab ac bc ad bd cd abcd a b c d abc abd acd bcd If ab is missing, then ABCD interaction will be zero when [550 + ab + 642 + 601 + 749 + 1052 + 1075 + 729] - [669 + 604 + 633 + 1037 + 635 + 868 + 860 + 1063]=0 Therefore, ab + 5398 - 6369 = 0 or ab = 971. After estimating ab , only the A and AD effects appear significant. 14-68 Two three-factor interactions could be used to generate the blocks such as ABC and ACD. This would confound these effects and ABC ACD = BD with blocks. Therefore, only one two-factor and no main effects are confounded with blocks. 14-69 A B AB block (1) - - + 1 a + - - 2 b - + - 2 ab + + + 1 The block effect is estimated by 2 ) 1 ( 2 ab b a + which is the same as the estimate of the effect of AB. 14-70 a) A different effect can be confounded in each replicate as follows. Replicate 1 Replicate 2 Replicate 3 Replicate 4 ABC confounded AB confounded BC confounded AC confounded (1) a (1) a (1) b (1) a ab b c b a c b c ac c ab ac bc ab ac ab bc abc abc bc abc ac abc bc

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14-81 b) Source of Variation Degrees of freedom Replicates 3
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mont4e_sm_ch14_mind - Mind Expanding Exercises 14-67 The...

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