HW Solutions Stat 77

HW Solutions Stat 77 - A B Freq. 11 4 12 4 13 4 21 4 22 4...

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AB Freq. X 1 X 2 X 3 X 4 X 1 X 3 X 1 X 4 X 2 X 3 X 2 X 4 1 141101 01000 1 241100 10100 1 34110 1 1 1 100 2 141011 00010 2 241010 10001 2 34101 1 1 1 3 141 1 110 10 3 241 1 101 0 1 3 341 1 1 1 11111 c. X β entries: 11 µ .. + α 1 + β 1 +( αβ ) 11 12 µ .. + α 1 + β 2 αβ ) 12 13 µ .. + α 1 β 1 β 2 ( αβ ) 11 ( αβ ) 12 = µ .. + α 1 + β 3 αβ ) 13 21 µ .. + α 2 + β 1 αβ ) 21 22 µ .. + α 2 + β 2 αβ ) 22 23 µ .. + α 2 β 1 β 2 ( αβ ) 21 ( αβ ) 22 = µ .. + α 2 + β 3 αβ ) 23 31 µ .. α 1 α 2 + β 1 ( αβ ) 11 ( αβ ) 21 = µ .. + α 3 + β 1 αβ ) 31 32 µ .. α 1 α 2 + β 2 ( αβ ) 12 ( αβ ) 22 = µ .. + α 3 + β 2 αβ ) 32 33 µ .. α 1 α 2 β 1 β 2 αβ ) 11 αβ ) 12 αβ ) 21 αβ ) 22 = µ .. + α 3 + β 3 αβ ) 33 d. ˆ Y =7 . 18333 3 . 30000 X 1 + . 65000 X 2 2 . 55000 X 3 + . 75000 X 4 +1 . 14167 X 1 X 3 . 03333 X 1 X 4 + . 16667 X 2 X 3 + . 34167 X 2 X 4 α 1 = µ 1 . µ .. e. Source SS df Regression 373 . 125 8 X 1 212 . 415 1] A X 2 | X 1 7 . 605 1] A X 3 | X 1 , X 2 113 . 535 1] B X 4 | X 1 , X 2 , X 3 10 . 125 1] B X 1 X 3 | X 1 , X 2 , X 3 , X 4 26 . 7806 1] AB X 1 X 4 | X 1 , X 2 , X 3 , X 4 , X 1 X 3 . 2269 1] AB X 2 X
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This note was uploaded on 12/21/2011 for the course STA 2014 taught by Professor Davehatley during the Fall '11 term at UNF.

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