Statistics Homework Solutions 227

Statistics Homework Solutions 227 - 227 SUPPLEMENTARY...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 227 SUPPLEMENTARY EXERCISES FOR CHAPTER 9 Sum of Mean Effect DF Squares Square F 3 9875 1 63 601 63 601 68 415 1 16 606 16 606 17 863 2 0375 1 7125 1 11 731 11 731 12 619 3 7125 1 55 131 55 131 59 304 0 1125 1 0 050625 0 050625 0 054457 0 0125 1 0 000625 0 000625 0 00067231 0 9375 1 3 5156 3 5156 3 7818 0 7125 1 2 0306 2 0306 2 1843 0 0875 1 0 030625 0 030625 0 032943 0 6375 1 1 6256 1 6256 1 7487 5 4 6481 0 92963 15 158 97 P 0 000 0 008 0 016 0 001 0 825 0 980 0 109 0 199 0 863 0 243 ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¡ Variable A B C D AB AC AD BC BD CD Interaction Total ¨ (c) We can conclude that each of the factors A, B, C, and D has an effect on the outcome. (d) The F statistics are computed by dividing the mean square for each effect (equal to its sum of squares) by the error mean square 1.04. The degrees of freedom for each F statistic are 1 and 4. The results are summarized in the following table. Sum of Mean Effect DF Squares Square F P 3 9875 1 63 601 63 601 61 154 0 001 2 0375 1 16 606 16 606 15 967 0 016 1 7125 1 11 731 11 731 11 279 0 028 3 7125 1 55 131 55 131 53 01 0 002 0 1125 1 0 050625 0 050625 0 048678 0 836 0 0125 1 0 000625 0 000625 0 00060096 0 982 0 9375 1 3 5156 3 5156 3 3804 0 140 1 2 0306 2 0306 1 9525 0 235 0 7125 0 0875 1 0 030625 0 030625 0 029447 0 872 0 6375 1 1 6256 1 6256 1 5631 0 279 0 2375 1 0 22563 0 22563 0 21695 0 666 0 5125 1 1 0506 1 0506 1 0102 0 372 0 4875 1 0 95063 0 95063 0 91406 0 393 0 3125 1 0 39062 0 39062 0 3756 0 573 0 7125 1 2 0306 2 0306 1 9525 0 235 ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¡ ¡ Variable A B C D AB AC AD BC BD CD ABC ABD ACD BCD ABCD (e) Yes. None of the P-values for the third- or higher-order interactions are small. (f) We can conclude that each of the factors A, B, C, and D has an effect on the outcome. ...
View Full Document

Ask a homework question - tutors are online