Topic4

# Topic4 - CS Example General Linear Test(cs2.sas proc reg...

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CS Example: General Linear Test (cs2.sas) proc reg data =cs; model gpa=satm satv hsm hss hse; * test H0: beta1 = beta2 = 0; sat: test satm, satv; * test H0: beta3=beta4=beta5=0; hs: test hsm, hss, hse; run ;

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CS Example: General Linear Test Test sat Results for Dependent Variable gpa Mean Source DF Square F Value Pr > F Numerator 2 0.46566 0.95 0.3882 Denominator 218 0.49000 Test hs Results for Dependent Variable gpa Mean Source DF Square F Value Pr > F Numerator 3 6.68660 13.65 <.0001 Denominator 218 0.49000
CS Example: General Linear Test (cs2.sas) proc reg data =cs; model gpa=satm satv hsm hss hse; * test H0: beta1 = beta2 = 0; sat: test satm, satv; * test H0: beta3=beta4=beta5=0; hs: test hsm, hss, hse; run ;

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Body Fat Example (nknw260.sas) It is very cumbersome and expensive to obtain the body fat of individuals (submersion in water). Therefore, a prediction method is desired. This study is based on 20 healthy female subjects between the ages of 25 – 34. The study wants to decided if the amount of body fat (Y) can be predicted from triceps skinfold thickness (X1), thigh circumference (X2) and midarm circumference (X3).
Body Fat Example: Regression (input) data bodyfat; infile 'I:\My Documents\Stat 512\CH07TA01.DAT' ; input skinfold thigh midarm fat; proc print data =bodyfat; run ; proc reg data =bodyfat; model fat=skinfold thigh midarm; run ;

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Body Fat Example: Regression (output) Sum of Mean Source DF Squares Square F Value Pr > F Model 3 396.98461 132.32820 21.52 <.0001 Error 16 98.40489 6.15031 Corrected Total 19 495.38950 Root MSE 2.47998 R-Square 0.8014 Dependent Mean 20.19500 Adj R-Sq 0.7641 Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 117.08469 99.78240 1.17 0.2578
Body Fat Example: Extra SS proc reg data =bodyfat; model fat=skinfold thigh midarm / ss1 ss2 ; run ; Variable Pr > |t| Type I SS Type II SS skinfold 0.1699 352.26980 12.70489 thigh 0.2849 33.16891 7.52928 midarm 0.1896 11.54590

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Body Fat Example: Scatter plot
Body Fat Example: Correlation proc corr data =bodyfat noprob ; run ; skinfold thigh midarm fat skinfold 1.00000 0.92384 0.45778 0.84327 thigh 0.92384 1.00000 0.08467 0.87809 midarm 0.45778 0.08467 1.00000 0.14244 fat 0.84327 0.87809 0.14244 1.00000

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Body Fat Example: Single Xi’s (input) proc reg data =bodyfat; model fat = skinfold; model fat = thigh; model fat = midarm; run ;
Body Fat Example: Single Xi’s (output) Root MSE 2.81977 R-Square 0.7111 Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 -1.49610 3.31923 -0.45 0.6576 skinfold 1 0.85719 0.12878 6.66 <.0001 Root MSE 2.51024 R-Square 0.7710 Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 -23.63449 5.65741 -4.18 0.0006 thigh 1 0.85655 0.11002 7.79 <.0001

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Linear Test (input) proc reg data =bodyfat; model fat=skinfold thigh midarm;
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Topic4 - CS Example General Linear Test(cs2.sas proc reg...

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