EXST7015 : Statistical Techniques II Geaghan Multiple Regression Extra Sum of Squares Page 1 07d-MultReg-extraSS.doc 37 PROC REG DATA=ONE; TITLE2 'Sub Models'; 38 MODEL Y = X1; 39 MODEL Y = X2; 40 MODEL Y = X3; 41 MODEL Y = X1 X2 / SS2; 42 MODEL Y = X1 X3 / SS2; 43 MODEL Y = X2 X3 / SS2; 44 MODEL Y = X1 X2 X3 / SS2; RUN; Model: MODEL1 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 5957.02249 5957.02249 14.817 0.0014 Error 16 6432.58862 402.03679 C Total 17 12389.61111 Model: MODEL2 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 1556.70846 1556.70846 2.299 0.1489 Error 16 10832.90265 677.05642 C Total 17 12389.61111 Model: MODEL3 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 1620.75928 1620.75928 2.408 0.1403 Error 16 10768.85183 673.05324 C Total 17 12389.61111 Model: MODEL4 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 2 5975.66853 2987.83427 6.988 0.0072 Error 15 6413.94258 427.59617 C Total 17 12389.61111 Model: MODEL5 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 2 6790.21357 3395.10678 9.095 0.0026 Error 15 5599.39754 373.29317 C Total 17 12389.61111 Model: MODEL6 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 2 2411.96162 1205.98081 1.813 0.1971 Error 15 9977.64949 665.17663 C Total 17 12389.61111 Model: MODEL7 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 3 6806.11145 2268.70382 5.689 0.0092 Error 14 5583.49966 398.82140 C Total 17 12389.61111EXST7015 : Statistical Techniques II Geaghan Multiple Regression Extra Sum of Squares Page 2 07d-MultReg-extraSS.doc Model and Error SS for different combinations of variables. SSR(X1) = 5957.02249 SSE = 6432.58862 SSR(X2) = 1556.70846 SSE = 10832.90265 SSR(X3) = 1620.75928 SSE = 10768.85183 SSR(X1,X2) = 5975.66853 SSE = 6413.94258 SSR(X1,X3) = 6790.21357 SSE = 5599.39754 SSR(X2,X3) = 2411.96162 SSE = 9977.64949 SSR(X1,X2,X3) = 6806.11145 SSE = 5583.49966 Model SS for each term adjusted for one other. These values are calculated as SSR(Xk|Xl) = SSR(Xk,Xl) - SSR(Xl) SSR(X1|X2) = 4418.960069 SSR(X1|X3) = 5169.454291 SSR(X2|X1) = 18.646037 SSR(X2|X3) = 791.202345 SSR(X3|X1) = 833.191073 SSR(X3|X2) = 855.253158 Model SS for each term adjusted for two others. These are the partial SS for a 3 factor multiple regression. These values are calculated as SSR(Xk|Xl,Xm) = SSR(Xk,Xl,Xm) - SSR(Xk,Xl) SSR(X1|X2,X3) = 4394.149832 SSR(X2|X1,X3) = 15.897886 SSR(X3|X1,X2) =
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