Statistics Homework Solutions 222

Statistics Homework Solutions 222 - 222 CHAPTER 9 Effect 3...

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Unformatted text preview: 222 CHAPTER 9 Effect 3 3750 23 625 1 1250 2 8750 1 3750 1 6250 1 8750 ¨ 5. (a) Variable A B C AB AC BC ABC ¨ ¨ ¨ ¡ ¨ ¡ ¨ ¡ ¨ (b) No, since the design is unreplicated, there is no error sum of squares. (c) No, none of the interaction terms are nearly as large as the main effect of factor B. (d) If the additive model is known to hold, then the ANOVA table below shows that the main effect of B is not equal to 0, while the main effects of A and C may be equal to 0. Sum of Mean Variable Effect DF Squares Square F P A 3 3750 1 22 781 22 781 2 7931 0 170 B 23 625 1 1116 3 1116 3 136 86 0 000 C 1 1250 1 2 5312 2 5312 0 31034 0 607 Error 4 32 625 8 1562 Total 7 1174 2 ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ Effect 2 445 0 140 0 250 1 450 0 610 0 645 0 935 ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¡ 7. (a) Variable A B C AB AC BC ABC (b) No, since the design is unreplicated, there is no error sum of squares. ...
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