HW Solutions Stat 78

HW Solutions Stat 78 - +( )21 Xijk2 Xijk3 + ijk 1 if case...

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+( αβ ) 21 X ijk 2 X ijk 3 + ± ijk 1 if case from level 1 for factor A X ijk 1 = 1 if case from level 3 for factor A 0 otherwise 1 if case from level 2 for factor A X ijk 2 = 1 if case from level 3 for factor A 0 otherwise X ijk 3 = 1 if case from level 1 for factor B 1 if case from level 2 for factor B b. β entries: µ .. , α 1 , α 2 , β 1 ,( αβ ) 11 αβ ) 21 X entries: AB Freq. X 1 X 2 X 3 X 1 X 3 X 2 X 3 1 1 6 1 1 0 110 12 6 1 1 0 1 10 2 1 5 1 0 1 101 22 6 1 0 1 1 31 6 1 1 11 1 1 32 5 1 1 1 111 c. X β entries: µ .. + α 1 + β 1 +( αβ ) 11 µ .. + α 1 β 1 ( αβ ) 11 = µ .. + α 1 + β 2 αβ ) 12 21 µ .. + α 2 + β 1 αβ ) 21 µ .. + α 2 β 1 ( αβ ) 21 = µ .. + α 2 + β 2 αβ ) 22 µ .. α 1 α 2 + β 1 ( αβ ) 11 ( αβ ) 21 = µ .. + α 3 + β 1 αβ ) 31 µ .. α 1 α 2 β 1 αβ ) 11 αβ ) 21 = µ .. + α 3 + β 2 αβ ) 32 d. Y ijk = µ .. + α 1 X ijk 1 + α 2 X ijk 2 + β 1 X ijk 3 + ± ijk e. Full model : ˆ Y =23 . 56667 2 . 06667 X 1 +4 . 16667 X 2 + . 36667 X 3 . 20000 X 1 X 3 . 30000 X 2 X 3 , SSE ( F )=71 . 3333 Reduced model
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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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