Results: l11.sas

The REG Procedure

Model: MODEL1

Dependent Variable: height

The Reg Procedure

MODEL1

Fit

height

Number of Observations

Number of Observations Read 168
Number of Observations Used 168

Analysis of Variance

Analysis of Variance
Source DF Sum of
Squares		 Mean
Square		 F Value Pr > F
Model 4 296.99963 74.24991 20.00 <.0001
Error 163 605.12745 3.71244    
Corrected Total 167 902.12708      

Fit Statistics

Root MSE 1.92677 R-Square 0.3292
Dependent Mean 65.10417 Adj R-Sq 0.3128
Coeff Var 2.95952    

Parameter Estimates

Parameter Estimates
Variable DF Parameter
Estimate		 Standard
Error		 t Value Pr > |t| Variance
Inflation
Intercept 1 39.36115 102.23955 0.38 0.7007 0
mother 1 -0.46872 2.52104 -0.19 0.8527 1532.42500
m2 1 0.00624 0.01972 0.32 0.7520 1532.93840
father 1 0.48070 1.86308 0.26 0.7967 1142.70094
f2 1 -0.00067915 0.01341 -0.05 0.9597 1143.18546

Correlation of Estimates

Correlation of Estimates
Variable Intercept mother m2 father f2
Intercept 1.0000 -0.7729 0.7708 -0.6145 0.6121
mother -0.7729 1.0000 -0.9997 -0.0250 0.0270
m2 0.7708 -0.9997 1.0000 0.0271 -0.0291
father -0.6145 -0.0250 0.0271 1.0000 -0.9996
f2 0.6121 0.0270 -0.0291 -0.9996 1.0000

Collinearity Diagnostics

Collinearity Diagnostics
Number Eigenvalue Condition
Index		 Proportion of Variation
Intercept mother m2 father f2
1 4.99142 1.00000 8.476172E-8 3.388575E-8 1.336282E-7 5.284447E-8 2.094117E-7
2 0.00652 27.66648 6.823923E-7 0.00001368 0.00018407 0.00001934 0.00035085
3 0.00206 49.28087 0.00052713 0.00000389 0.00043448 0.00001257 0.00048645
4 9.282862E-7 2318.84231 0.14807 0.08282 0.08403 0.93040 0.93071
5 5.469335E-7 3020.95939 0.85140 0.91716 0.91535 0.06957 0.06845

The REG Procedure

Model: MODEL1

Dependent Variable: height

Observation-wise Statistics

height

Diagnostic Plots

Fit Diagnostics

Panel of fit diagnostics for height.

Residual Plots

Panel 1

Panel of scatterplots of residuals by regressors for height.

The REG Procedure

Model: MODEL2

Dependent Variable: height

MODEL2

Fit

height

Number of Observations

Number of Observations Read 168
Number of Observations Used 168

Analysis of Variance

Analysis of Variance
Source DF Sum of
Squares		 Mean
Square		 F Value Pr > F
Model 2 120.46953 60.23477 12.71 <.0001
Error 165 781.65755 4.73732    
Corrected Total 167 902.12708      

Fit Statistics

Root MSE 2.17654 R-Square 0.1335
Dependent Mean 65.10417 Adj R-Sq 0.1230
Coeff Var 3.34316    

Parameter Estimates

Parameter Estimates
Variable DF Parameter
Estimate		 Standard
Error		 t Value Pr > |t| Variance
Inflation
Intercept 1 43.31212 4.75184 9.11 <.0001 0
mother 1 -1.43452 1.50734 -0.95 0.3426 429.30636
mcmround 1 0.69875 0.58739 1.19 0.2359 429.30636

Correlation of Estimates

Correlation of Estimates
Variable Intercept mother mcmround
Intercept 1.0000 -0.2353 0.1882
mother -0.2353 1.0000 -0.9988
mcmround 0.1882 -0.9988 1.0000

Collinearity Diagnostics

Collinearity Diagnostics
Number Eigenvalue Condition
Index		 Proportion of Variation
Intercept mother mcmround
1 2.99913 1.00000 0.00013876 3.352234E-7 3.423059E-7
2 0.00087202 58.64557 0.95480 0.00055818 0.00060700
3 0.00000152 1402.63920 0.04506 0.99944 0.99939

The REG Procedure

Model: MODEL2

Dependent Variable: height

Observation-wise Statistics

height

Diagnostic Plots

Fit Diagnostics

Panel of fit diagnostics for height.

Residual Plots

Panel 1

Panel of scatterplots of residuals by regressors for height.

The REG Procedure

Model: MODEL1

Dependent Variable: height

The Reg Procedure

MODEL1

Fit

height

Number of Observations

Number of Observations Read 168
Number of Observations Used 168

Analysis of Variance

Analysis of Variance
Source DF Sum of
Squares		 Mean
Square		 F Value Pr > F
Model 4 296.99963 74.24991 20.00 <.0001
Error 163 605.12745 3.71244    
Corrected Total 167 902.12708      

Fit Statistics

Root MSE 1.92677 R-Square 0.3292
Dependent Mean 65.10417 Adj R-Sq 0.3128
Coeff Var 2.95952    

Parameter Estimates

Parameter Estimates
Variable DF Parameter
Estimate		 Standard
Error		 t Value Pr > |t|
Intercept 1 39.36115 102.23955 0.38 0.7007
mother 1 -0.46872 2.52104 -0.19 0.8527
m2 1 0.00624 0.01972 0.32 0.7520
father 1 0.48070 1.86308 0.26 0.7967
f2 1 -0.00067915 0.01341 -0.05 0.9597

The REG Procedure

Model: MODEL1

Dependent Variable: height

height

Ridge Plots

Ridge Analysis

Panel of VIF and ridge regression traces for height.

The Print Procedure

Data Set WORK.RIDGEOUT

Obs _MODEL_ _TYPE_ _DEPVAR_ _RIDGE_ _PCOMIT_ _RMSE_ Intercept mother m2 father f2 height
1 MODEL1 PARMS height . . 1.92677 39.3612 -0.46872 .006240987 0.48070 -.000679155 -1
2 MODEL1 RIDGE height 0.000 . 1.92677 39.3612 -0.46872 .006240987 0.48070 -.000679155 -1
3 MODEL1 RIDGE height 0.005 . 1.92721 29.6527 0.12549 .001581989 0.21519 0.001230840 -1
4 MODEL1 RIDGE height 0.010 . 1.92725 29.5151 0.14362 .001434123 0.20409 0.001304277 -1
5 MODEL1 RIDGE height 0.015 . 1.92727 29.5234 0.14968 .001380880 0.19989 0.001327964 -1
6 MODEL1 RIDGE height 0.020 . 1.92729 29.5687 0.15257 .001352419 0.19753 0.001338452 -1
7 MODEL1 RIDGE height 0.025 . 1.92732 29.6286 0.15418 .001334066 0.19592 0.001343539 -1
8 MODEL1 RIDGE height 0.030 . 1.92735 29.6958 0.15513 .001320828 0.19469 0.001345895 -1
9 MODEL1 RIDGE height 0.035 . 1.92739 29.7669 0.15572 .001310537 0.19368 0.001346683 -1
10 MODEL1 RIDGE height 0.040 . 1.92742 29.8403 0.15607 .001302101 0.19281 0.001346490 -1
11 MODEL1 RIDGE height 0.045 . 1.92747 29.9152 0.15626 .001294912 0.19204 0.001345646 -1
12 MODEL1 RIDGE height 0.050 . 1.92751 29.9910 0.15634 .001288600 0.19134 0.001344348 -1
13 MODEL1 RIDGE height 0.055 . 1.92757 30.0674 0.15635 .001282931 0.19068 0.001342723 -1
14 MODEL1 RIDGE height 0.060 . 1.92762 30.1440 0.15630 .001277749 0.19006 0.001340856 -1
15 MODEL1 RIDGE height 0.065 . 1.92768 30.2209 0.15620 .001272944 0.18947 0.001338806 -1
16 MODEL1 RIDGE height 0.070 . 1.92775 30.2978 0.15607 .001268439 0.18891 0.001336615 -1
17 MODEL1 RIDGE height 0.075 . 1.92782 30.3747 0.15591 .001264176 0.18836 0.001334313 -1
18 MODEL1 RIDGE height 0.080 . 1.92789 30.4515 0.15572 .001260113 0.18783 0.001331924 -1
19 MODEL1 RIDGE height 0.085 . 1.92797 30.5281 0.15552 .001256215 0.18731 0.001329466 -1
20 MODEL1 RIDGE height 0.090 . 1.92805 30.6046 0.15531 .001252458 0.18681 0.001326952 -1
21 MODEL1 RIDGE height 0.095 . 1.92814 30.6809 0.15508 .001248822 0.18632 0.001324394 -1
22 MODEL1 RIDGE height 0.100 . 1.92823 30.7570 0.15484 .001245289 0.18583 0.001321799 -1
23 MODEL1 RIDGE height 0.105 . 1.92832 30.8329 0.15459 .001241847 0.18535 0.001319176 -1
24 MODEL1 RIDGE height 0.110 . 1.92842 30.9085 0.15434 .001238485 0.18488 0.001316529 -1
25 MODEL1 RIDGE height 0.115 . 1.92852 30.9839 0.15408 .001235194 0.18442 0.001313863 -1
26 MODEL1 RIDGE height 0.120 . 1.92862 31.0590 0.15382 .001231967 0.18396 0.001311183 -1
27 MODEL1 RIDGE height 0.125 . 1.92873 31.1338 0.15355 .001228796 0.18350 0.001308492 -1
28 MODEL1 RIDGE height 0.130 . 1.92884 31.2083 0.15327 .001225678 0.18306 0.001305792 -1
29 MODEL1 RIDGE height 0.135 . 1.92896 31.2826 0.15300 .001222607 0.18261 0.001303086 -1
30 MODEL1 RIDGE height 0.140 . 1.92908 31.3566 0.15272 .001219579 0.18217 0.001300375 -1
31 MODEL1 RIDGE height 0.145 . 1.92920 31.4303 0.15243 .001216592 0.18174 0.001297663 -1
32 MODEL1 RIDGE height 0.150 . 1.92933 31.5037 0.15215 .001213641 0.18131 0.001294949 -1
33 MODEL1 RIDGE height 0.155 . 1.92946 31.5768 0.15187 .001210725 0.18088 0.001292235 -1
34 MODEL1 RIDGE height 0.160 . 1.92959 31.6497 0.15158 .001207841 0.18045 0.001289523 -1
35 MODEL1 RIDGE height 0.165 . 1.92973 31.7222 0.15129 .001204988 0.18003 0.001286813 -1
36 MODEL1 RIDGE height 0.170 . 1.92987 31.7945 0.15100 .001202163 0.17961 0.001284106 -1
37 MODEL1 RIDGE height 0.175 . 1.93001 31.8664 0.15071 .001199364 0.17920 0.001281403 -1
38 MODEL1 RIDGE height 0.180 . 1.93016 31.9381 0.15043 .001196591 0.17879 0.001278704 -1
39 MODEL1 RIDGE height 0.185 . 1.93031 32.0095 0.15014 .001193843 0.17838 0.001276011 -1
40 MODEL1 RIDGE height 0.190 . 1.93046 32.0806 0.14985 .001191117 0.17797 0.001273323 -1
41 MODEL1 RIDGE height 0.195 . 1.93062 32.1513 0.14955 .001188414 0.17756 0.001270642 -1
42 MODEL1 RIDGE height 0.200 . 1.93078 32.2218 0.14926 .001185731 0.17716 0.001267966 -1