Analysis of Var iance Sun of Square F Value Pr>F Model Errortnd Tote Corrected T

Question

Analysis of Var iance Sun of Square F Value Pr>F Model Errortnd Tote Corrected Total 2086.56491 S.27065 395.88.0001 387 389 2039.74149 6212.87131 Root MSE Dependent Hean Coeff Var 0.6717 0.6700 66.85308 j R-Sa 3.43408 Paraneter Estinates Variable OF ErrortValue Pr It 0.72407 0.08847 0.36286 Intercept 44307 1,27727 16.31 3.52 0.0005 Analysis of Var iance Sn of Square F Value Pr>F Model 107.82529 2105.04601 6212.87131 4107.82529 S.42538 757.15 15 0001 Corrected Total 389 Root NSE Dependent Heaon Coeff Var 0.6612 66.85308 j R-Sq Par ane ter Est inates Variable DF Est inate ErrortValue Pr > Iel 51.72782 1.67225 ,0001 .000 0.06077 Analysis of Varlance Sun of Squares 67 Square F Vale PrF Mode 2770.854 2770.85467 8.87118 312.34

Explanation / Answer

Let SS denotes the sum of squares.
SS for shoe size and gender SS(S,G) is 4173.12982 (Sum of squares of the Model in first Anova output where both shoe and gender are variables)
SS for shoe size SS(S) is 4107.82529 (Sum of squares of the Model in second Anova output where only shoe is the variable)
SS for gender SS(G) is 2770.85467 (Sum of squares of the Model in third Anova output where only gender is the variable)

Type II sum of squares are
The sum of squares for the shoe size main effect after the gender main effect and ignoring interactions
SS(S | G) for factor S - SS(S,G) - SS(G) = 4173.12982 - 2770.85467 = 1402.275
This is the answer for the question - Type II sum of squares for adding shoe size to a model that already contains gender.

If the question is - Type II sum of squares for adding gender to a model that already contains shoe size, the answer would be
The sum of squares for the gender main effect after the shoe size main effect and ignoring interactions
SS(G | S) for factor G - SS(S,G) - SS(S) = 4173.12982 - 4107.82529 = 65.30453

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