The SAS System 17:42 Sunday, March 11, 2012 67 The CORR Procedure 21 With Variables: HMn SatMn BrMn HStd SatStd BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth 3 Variables: ValMn ArMn DomMn Simple Statistics Variable N Mean Std Dev Sum Minimum Maximum HMn 172 0.30424 0.16252 52.32970 0.04530 0.72690 SatMn 172 0.38370 0.15046 65.99600 0.13390 0.88440 BrMn 172 0.46265 0.16277 79.57590 0.12130 0.80950 HStd 172 0.24257 0.08968 41.72150 0.06000 0.43970 SatStd 172 0.25213 0.06450 43.36700 0.10160 0.42890 BrStd 172 0.27629 0.05947 47.52260 0.08660 0.40790 HMd 172 0.25361 0.23706 43.62040 0 0.85000 SatMd 172 0.34688 0.21607 59.66340 0 1.00000 BrMd 172 0.43778 0.24548 75.29810 0 0.98040 HuEnt 172 5.59623 0.94450 962.55140 2.84790 7.18820 SatEnt 172 6.71194 0.93658 1154 3.73170 7.69610 BrEnt 172 6.98292 0.91358 1201 3.69580 7.95500 HuHor 172 21.02034 13.52123 3615 1.56000 60.75300 HuVert 172 20.86553 13.37963 3589 1.72100 64.36700 HuBoth 172 21.78937 14.13866 3748 1.83100 61.08300 SatHor 172 26.67693 8.04634 4588 9.34200 46.81700 SatVert 172 24.77109 9.07980 4261 5.90300 49.35000 SatBoth 172 24.35922 8.41425 4190 6.28300 44.54900 BrHor 172 21.10283 7.03794 3630 8.42300 40.21300 BrVer 172 19.93819 7.72793 3429 7.34100 46.32100 BrBoth 172 19.95184 7.71427 3432 7.17900 45.40800 ValMn 172 5.69297 0.87486 979.19000 3.48000 7.73000 ArMn 172 4.26703 1.23678 733.93000 2.27000 7.32000 DomMn 172 5.74721 0.55698 988.52000 3.58000 6.72000 The SAS System 17:42 Sunday, March 11, 2012 68 The CORR Procedure Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn 0.23573 0.28754 -0.09092 0.0019 0.0001 0.2356 SatMn -0.07507 -0.07974 0.07891 0.3277 0.2984 0.3035 BrMn 0.17244 0.21918 -0.10575 0.0237 0.0039 0.1674 HStd -0.04385 -0.11780 -0.08238 0.5679 0.1238 0.2826 SatStd -0.05506 -0.11707 0.11108 0.4731 0.1262 0.1469 BrStd -0.05338 -0.13107 0.05356 0.4868 0.0866 0.4853 HMd 0.26356 0.31565 -0.07082 0.0005 <.0001 0.3559 SatMd -0.05345 -0.06674 0.08601 0.4862 0.3844 0.2619 BrMd 0.18833 0.23369 -0.13939 0.0134 0.0020 0.0682 HuEnt 0.06903 0.12422 -0.18293 0.3682 0.1045 0.0163 SatEnt 0.03978 0.11627 -0.20469 0.6044 0.1288 0.0071 BrEnt 0.02627 0.11325 -0.32007 0.7322 0.1391 <.0001 HuHor -0.12794 -0.06992 -0.24987 0.0944 0.3621 0.0009 HuVert -0.15911 -0.08984 -0.24143 0.0371 0.2412 0.0014 HuBoth -0.12738 -0.08954 -0.20757 0.0959 0.2428 0.0063 The SAS System 17:42 Sunday, March 11, 2012 69 The CORR Procedure Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn SatHor -0.21934 -0.08979 -0.24281 0.0038 0.2414 0.0013 SatVert -0.18631 -0.04387 -0.26281 0.0144 0.5677 0.0005 SatBoth -0.19852 -0.06390 -0.27357 0.0090 0.4050 0.0003 BrHor -0.04442 0.07788 -0.24525 0.5628 0.3098 0.0012 BrVer -0.09054 0.01852 -0.20033 0.2376 0.8095 0.0084 BrBoth -0.06343 0.04807 -0.21763 0.4084 0.5312 0.0041 The SAS System 17:42 Sunday, March 11, 2012 70 The CORR Procedure 24 Variables: ValMn ArMn DomMn HMn SatMn BrMn HStd SatStd BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth Simple Statistics Variable N Mean Std Dev Sum Minimum Maximum ValMn 172 5.69297 0.87486 979.19000 3.48000 7.73000 ArMn 172 4.26703 1.23678 733.93000 2.27000 7.32000 DomMn 172 5.74721 0.55698 988.52000 3.58000 6.72000 HMn 172 0.30424 0.16252 52.32970 0.04530 0.72690 SatMn 172 0.38370 0.15046 65.99600 0.13390 0.88440 BrMn 172 0.46265 0.16277 79.57590 0.12130 0.80950 HStd 172 0.24257 0.08968 41.72150 0.06000 0.43970 SatStd 172 0.25213 0.06450 43.36700 0.10160 0.42890 BrStd 172 0.27629 0.05947 47.52260 0.08660 0.40790 HMd 172 0.25361 0.23706 43.62040 0 0.85000 SatMd 172 0.34688 0.21607 59.66340 0 1.00000 BrMd 172 0.43778 0.24548 75.29810 0 0.98040 HuEnt 172 5.59623 0.94450 962.55140 2.84790 7.18820 SatEnt 172 6.71194 0.93658 1154 3.73170 7.69610 BrEnt 172 6.98292 0.91358 1201 3.69580 7.95500 HuHor 172 21.02034 13.52123 3615 1.56000 60.75300 HuVert 172 20.86553 13.37963 3589 1.72100 64.36700 HuBoth 172 21.78937 14.13866 3748 1.83100 61.08300 SatHor 172 26.67693 8.04634 4588 9.34200 46.81700 SatVert 172 24.77109 9.07980 4261 5.90300 49.35000 SatBoth 172 24.35922 8.41425 4190 6.28300 44.54900 BrHor 172 21.10283 7.03794 3630 8.42300 40.21300 BrVer 172 19.93819 7.72793 3429 7.34100 46.32100 BrBoth 172 19.95184 7.71427 3432 7.17900 45.40800 The SAS System 17:42 Sunday, March 11, 2012 71 The CORR Procedure Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn SatMn BrMn HStd SatStd ValMn 1.00000 0.73179 0.17465 0.23573 -0.07507 0.17244 -0.04385 -0.05506 <.0001 0.0219 0.0019 0.3277 0.0237 0.5679 0.4731 ArMn 0.73179 1.00000 -0.26565 0.28754 -0.07974 0.21918 -0.11780 -0.11707 <.0001 0.0004 0.0001 0.2984 0.0039 0.1238 0.1262 DomMn 0.17465 -0.26565 1.00000 -0.09092 0.07891 -0.10575 -0.08238 0.11108 0.0219 0.0004 0.2356 0.3035 0.1674 0.2826 0.1469 HMn 0.23573 0.28754 -0.09092 1.00000 -0.14857 0.19105 0.36343 -0.34288 0.0019 0.0001 0.2356 0.0518 0.0121 <.0001 <.0001 SatMn -0.07507 -0.07974 0.07891 -0.14857 1.00000 -0.05056 -0.10458 0.31214 0.3277 0.2984 0.3035 0.0518 0.5101 0.1721 <.0001 BrMn 0.17244 0.21918 -0.10575 0.19105 -0.05056 1.00000 -0.19592 -0.36208 0.0237 0.0039 0.1674 0.0121 0.5101 0.0100 <.0001 HStd -0.04385 -0.11780 -0.08238 0.36343 -0.10458 -0.19592 1.00000 0.10509 0.5679 0.1238 0.2826 <.0001 0.1721 0.0100 0.1701 SatStd -0.05506 -0.11707 0.11108 -0.34288 0.31214 -0.36208 0.10509 1.00000 0.4731 0.1262 0.1469 <.0001 <.0001 <.0001 0.1701 BrStd -0.05338 -0.13107 0.05356 -0.12060 0.11926 -0.16462 0.12777 0.38296 0.4868 0.0866 0.4853 0.1151 0.1192 0.0309 0.0949 <.0001 HMd 0.26356 0.31565 -0.07082 0.90150 -0.15228 0.22962 0.09140 -0.40713 0.0005 <.0001 0.3559 <.0001 0.0461 0.0024 0.2331 <.0001 SatMd -0.05345 -0.06674 0.08601 -0.06450 0.93985 -0.00414 -0.06339 0.14817 0.4862 0.3844 0.2619 0.4006 <.0001 0.9570 0.4088 0.0524 BrMd 0.18833 0.23369 -0.13939 0.19664 -0.09395 0.95864 -0.14993 -0.38596 0.0134 0.0020 0.0682 0.0097 0.2203 <.0001 0.0496 <.0001 HuEnt 0.06903 0.12422 -0.18293 0.41036 -0.06930 0.33615 0.29478 -0.22099 0.3682 0.1045 0.0163 <.0001 0.3664 <.0001 <.0001 0.0036 SatEnt 0.03978 0.11627 -0.20469 0.22614 0.24878 0.39314 0.06327 -0.26118 0.6044 0.1288 0.0071 0.0029 0.0010 <.0001 0.4096 0.0005 BrEnt 0.02627 0.11325 -0.32007 0.28336 0.18846 0.37548 0.18211 -0.27898 0.7322 0.1391 <.0001 0.0002 0.0133 <.0001 0.0168 0.0002 The SAS System 17:42 Sunday, March 11, 2012 72 The CORR Procedure Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor ValMn -0.05338 0.26356 -0.05345 0.18833 0.06903 0.03978 0.02627 -0.12794 0.4868 0.0005 0.4862 0.0134 0.3682 0.6044 0.7322 0.0944 ArMn -0.13107 0.31565 -0.06674 0.23369 0.12422 0.11627 0.11325 -0.06992 0.0866 <.0001 0.3844 0.0020 0.1045 0.1288 0.1391 0.3621 DomMn 0.05356 -0.07082 0.08601 -0.13939 -0.18293 -0.20469 -0.32007 -0.24987 0.4853 0.3559 0.2619 0.0682 0.0163 0.0071 <.0001 0.0009 HMn -0.12060 0.90150 -0.06450 0.19664 0.41036 0.22614 0.28336 0.25706 0.1151 <.0001 0.4006 0.0097 <.0001 0.0029 0.0002 0.0007 SatMn 0.11926 -0.15228 0.93985 -0.09395 -0.06930 0.24878 0.18846 -0.03452 0.1192 0.0461 <.0001 0.2203 0.3664 0.0010 0.0133 0.6530 BrMn -0.16462 0.22962 -0.00414 0.95864 0.33615 0.39314 0.37548 0.02686 0.0309 0.0024 0.9570 <.0001 <.0001 <.0001 <.0001 0.7265 HStd 0.12777 0.09140 -0.06339 -0.14993 0.29478 0.06327 0.18211 0.63347 0.0949 0.2331 0.4088 0.0496 <.0001 0.4096 0.0168 <.0001 SatStd 0.38296 -0.40713 0.14817 -0.38596 -0.22099 -0.26118 -0.27898 0.03997 <.0001 <.0001 0.0524 <.0001 0.0036 0.0005 0.0002 0.6026 BrStd 1.00000 -0.13914 0.05534 -0.18602 0.07292 -0.05024 -0.02352 0.07836 0.0687 0.4709 0.0146 0.3418 0.5128 0.7594 0.3069 HMd -0.13914 1.00000 -0.06498 0.22824 0.30456 0.15292 0.19277 0.03840 0.0687 0.3970 0.0026 <.0001 0.0452 0.0113 0.6170 SatMd 0.05534 -0.06498 1.00000 -0.04658 0.01053 0.30568 0.28832 0.02109 0.4709 0.3970 0.5440 0.8910 <.0001 0.0001 0.7836 BrMd -0.18602 0.22824 -0.04658 1.00000 0.34943 0.39908 0.40556 0.03217 0.0146 0.0026 0.5440 <.0001 <.0001 <.0001 0.6753 HuEnt 0.07292 0.30456 0.01053 0.34943 1.00000 0.72945 0.78328 0.48092 0.3418 <.0001 0.8910 <.0001 <.0001 <.0001 <.0001 SatEnt -0.05024 0.15292 0.30568 0.39908 0.72945 1.00000 0.87404 0.26722 0.5128 0.0452 <.0001 <.0001 <.0001 <.0001 0.0004 BrEnt -0.02352 0.19277 0.28832 0.40556 0.78328 0.87404 1.00000 0.40045 0.7594 0.0113 0.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 73 The CORR Procedure Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth ValMn -0.15911 -0.12738 -0.21934 -0.18631 -0.19852 -0.04442 -0.09054 -0.06343 0.0371 0.0959 0.0038 0.0144 0.0090 0.5628 0.2376 0.4084 ArMn -0.08984 -0.08954 -0.08979 -0.04387 -0.06390 0.07788 0.01852 0.04807 0.2412 0.2428 0.2414 0.5677 0.4050 0.3098 0.8095 0.5312 DomMn -0.24143 -0.20757 -0.24281 -0.26281 -0.27357 -0.24525 -0.20033 -0.21763 0.0014 0.0063 0.0013 0.0005 0.0003 0.0012 0.0084 0.0041 HMn 0.21897 0.22136 0.02186 0.08140 0.07068 0.08433 0.08348 0.12300 0.0039 0.0035 0.7760 0.2884 0.3568 0.2714 0.2763 0.1080 SatMn -0.00866 -0.00927 0.19733 0.20286 0.17913 -0.05192 -0.01036 -0.03794 0.9103 0.9039 0.0095 0.0076 0.0187 0.4988 0.8927 0.6212 BrMn -0.02307 -0.03505 -0.14887 -0.01630 -0.05806 0.06902 0.08017 0.05486 0.7638 0.6480 0.0513 0.8320 0.4493 0.3683 0.2958 0.4748 HStd 0.65991 0.68417 0.11974 0.12625 0.16079 0.11418 0.13083 0.16792 <.0001 <.0001 0.1177 0.0989 0.0351 0.1358 0.0871 0.0277 SatStd 0.08983 0.07219 -0.02521 -0.11188 -0.01874 -0.11519 -0.16907 -0.09953 0.2412 0.3466 0.7427 0.1440 0.8073 0.1324 0.0266 0.1939 BrStd 0.13452 0.11820 0.13339 0.13401 0.13611 -0.01796 -0.03994 0.02358 0.0785 0.1225 0.0811 0.0797 0.0750 0.8151 0.6029 0.7588 HMd -0.00595 -0.01763 -0.08812 -0.01403 -0.03883 -0.00231 0.02483 0.03592 0.9382 0.8185 0.2503 0.8550 0.6130 0.9760 0.7464 0.6399 SatMd 0.04021 0.04554 0.18157 0.23184 0.18838 -0.04064 0.02972 -0.01108 0.6005 0.5530 0.0171 0.0022 0.0133 0.5966 0.6988 0.8853 BrMd -0.01583 -0.02777 -0.14321 -0.00238 -0.04307 0.07550 0.10265 0.06840 0.8367 0.7177 0.0609 0.9753 0.5748 0.3250 0.1802 0.3726 HuEnt 0.41789 0.42111 0.38897 0.48210 0.44599 0.36950 0.39884 0.42492 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 SatEnt 0.19814 0.22223 0.38073 0.49362 0.41473 0.28337 0.33965 0.30128 0.0092 0.0034 <.0001 <.0001 <.0001 0.0002 <.0001 <.0001 BrEnt 0.34531 0.35030 0.36878 0.48087 0.43329 0.29539 0.34180 0.31930 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 74 The CORR Procedure Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn SatMn BrMn HStd SatStd HuHor -0.12794 -0.06992 -0.24987 0.25706 -0.03452 0.02686 0.63347 0.03997 0.0944 0.3621 0.0009 0.0007 0.6530 0.7265 <.0001 0.6026 HuVert -0.15911 -0.08984 -0.24143 0.21897 -0.00866 -0.02307 0.65991 0.08983 0.0371 0.2412 0.0014 0.0039 0.9103 0.7638 <.0001 0.2412 HuBoth -0.12738 -0.08954 -0.20757 0.22136 -0.00927 -0.03505 0.68417 0.07219 0.0959 0.2428 0.0063 0.0035 0.9039 0.6480 <.0001 0.3466 SatHor -0.21934 -0.08979 -0.24281 0.02186 0.19733 -0.14887 0.11974 -0.02521 0.0038 0.2414 0.0013 0.7760 0.0095 0.0513 0.1177 0.7427 SatVert -0.18631 -0.04387 -0.26281 0.08140 0.20286 -0.01630 0.12625 -0.11188 0.0144 0.5677 0.0005 0.2884 0.0076 0.8320 0.0989 0.1440 SatBoth -0.19852 -0.06390 -0.27357 0.07068 0.17913 -0.05806 0.16079 -0.01874 0.0090 0.4050 0.0003 0.3568 0.0187 0.4493 0.0351 0.8073 BrHor -0.04442 0.07788 -0.24525 0.08433 -0.05192 0.06902 0.11418 -0.11519 0.5628 0.3098 0.0012 0.2714 0.4988 0.3683 0.1358 0.1324 BrVer -0.09054 0.01852 -0.20033 0.08348 -0.01036 0.08017 0.13083 -0.16907 0.2376 0.8095 0.0084 0.2763 0.8927 0.2958 0.0871 0.0266 BrBoth -0.06343 0.04807 -0.21763 0.12300 -0.03794 0.05486 0.16792 -0.09953 0.4084 0.5312 0.0041 0.1080 0.6212 0.4748 0.0277 0.1939 Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor HuHor 0.07836 0.03840 0.02109 0.03217 0.48092 0.26722 0.40045 1.00000 0.3069 0.6170 0.7836 0.6753 <.0001 0.0004 <.0001 HuVert 0.13452 -0.00595 0.04021 -0.01583 0.41789 0.19814 0.34531 0.98020 0.0785 0.9382 0.6005 0.8367 <.0001 0.0092 <.0001 <.0001 HuBoth 0.11820 -0.01763 0.04554 -0.02777 0.42111 0.22223 0.35030 0.97028 0.1225 0.8185 0.5530 0.7177 <.0001 0.0034 <.0001 <.0001 SatHor 0.13339 -0.08812 0.18157 -0.14321 0.38897 0.38073 0.36878 0.46473 0.0811 0.2503 0.0171 0.0609 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 75 The CORR Procedure Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor SatVert 0.13401 -0.01403 0.23184 -0.00238 0.48210 0.49362 0.48087 0.48039 0.0797 0.8550 0.0022 0.9753 <.0001 <.0001 <.0001 <.0001 SatBoth 0.13611 -0.03883 0.18838 -0.04307 0.44599 0.41473 0.43329 0.51530 0.0750 0.6130 0.0133 0.5748 <.0001 <.0001 <.0001 <.0001 BrHor -0.01796 -0.00231 -0.04064 0.07550 0.36950 0.28337 0.29539 0.38078 0.8151 0.9760 0.5966 0.3250 <.0001 0.0002 <.0001 <.0001 BrVer -0.03994 0.02483 0.02972 0.10265 0.39884 0.33965 0.34180 0.40375 0.6029 0.7464 0.6988 0.1802 <.0001 <.0001 <.0001 <.0001 BrBoth 0.02358 0.03592 -0.01108 0.06840 0.42492 0.30128 0.31930 0.45623 0.7588 0.6399 0.8853 0.3726 <.0001 <.0001 <.0001 <.0001 Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth HuHor 0.98020 0.97028 0.46473 0.48039 0.51530 0.38078 0.40375 0.45623 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 HuVert 1.00000 0.97741 0.43765 0.45957 0.49016 0.33077 0.36200 0.41083 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 HuBoth 0.97741 1.00000 0.43218 0.45616 0.48582 0.33570 0.35668 0.40979 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 SatHor 0.43765 0.43218 1.00000 0.88169 0.92943 0.60585 0.60653 0.64906 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 SatVert 0.45957 0.45616 0.88169 1.00000 0.93717 0.54137 0.71178 0.65746 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 SatBoth 0.49016 0.48582 0.92943 0.93717 1.00000 0.59247 0.67087 0.70695 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 BrHor 0.33077 0.33570 0.60585 0.54137 0.59247 1.00000 0.82067 0.91230 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 BrVer 0.36200 0.35668 0.60653 0.71178 0.67087 0.82067 1.00000 0.89348 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 76 The CORR Procedure Pearson Correlation Coefficients, N = 172 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth BrBoth 0.41083 0.40979 0.64906 0.65746 0.70695 0.91230 0.89348 1.00000 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 77 The GLM Procedure Number of Observations Read 172 Number of Observations Used 172 The SAS System 17:42 Sunday, March 11, 2012 78 The GLM Procedure Dependent Variable: ValMn Sum of Source DF Squares Mean Square F Value Pr > F Model 3 11.1783686 3.7261229 5.23 0.0018 Error 168 119.7004192 0.7125025 Corrected Total 171 130.8787878 R-Square Coeff Var Root MSE ValMn Mean 0.085410 14.82705 0.844099 5.692965 Source DF Type I SS Mean Square F Value Pr > F HMd 1 9.09167635 9.09167635 12.76 0.0005 BrMn 1 1.73054131 1.73054131 2.43 0.1210 BrHor 1 0.35615092 0.35615092 0.50 0.4805 Source DF Type III SS Mean Square F Value Pr > F HMd 1 6.86954930 6.86954930 9.64 0.0022 BrMn 1 1.83543413 1.83543413 2.58 0.1104 BrHor 1 0.35615092 0.35615092 0.50 0.4805 Standard Parameter Estimate Error t Value Pr > |t| Intercept 5.306482244 0.26766586 19.83 <.0001 HMd 0.868836007 0.27981235 3.11 0.0022 BrMn 0.655638034 0.40849612 1.61 0.1104 BrHor -0.006501088 0.00919522 -0.71 0.4805 The SAS System 17:42 Sunday, March 11, 2012 79 The GLM Procedure Number of Observations Read 172 Number of Observations Used 172 The SAS System 17:42 Sunday, March 11, 2012 80 The GLM Procedure Dependent Variable: ArMn Sum of Source DF Squares Mean Square F Value Pr > F Model 2 21.9920099 10.9960050 7.76 0.0006 Error 169 239.5745779 1.4176011 Corrected Total 171 261.5665878 R-Square Coeff Var Root MSE ArMn Mean 0.084078 27.90299 1.190631 4.267035 Source DF Type I SS Mean Square F Value Pr > F HMn 1 21.62546733 21.62546733 15.25 0.0001 SatMn 1 0.36654259 0.36654259 0.26 0.6118 Source DF Type III SS Mean Square F Value Pr > F HMn 1 20.32892192 20.32892192 14.34 0.0002 SatMn 1 0.36654259 0.36654259 0.26 0.6118 Standard Parameter Estimate Error t Value Pr > |t| Intercept 3.733726167 0.32420032 11.52 <.0001 HMn 2.145337725 0.56652034 3.79 0.0002 SatMn -0.311167044 0.61193936 -0.51 0.6118 The SAS System 17:42 Sunday, March 11, 2012 81 The GLM Procedure Number of Observations Read 172 Number of Observations Used 172 The SAS System 17:42 Sunday, March 11, 2012 82 The GLM Procedure Dependent Variable: DomMn Sum of Source DF Squares Mean Square F Value Pr > F Model 2 3.61127964 1.80563982 6.17 0.0026 Error 169 49.43798083 0.29253243 Corrected Total 171 53.04926047 R-Square Coeff Var Root MSE DomMn Mean 0.068074 9.410875 0.540863 5.747209 Source DF Type I SS Mean Square F Value Pr > F BrMn 1 0.59324542 0.59324542 2.03 0.1563 BrHor 1 3.01803422 3.01803422 10.32 0.0016 Source DF Type III SS Mean Square F Value Pr > F BrMn 1 0.42053514 0.42053514 1.44 0.2322 BrHor 1 3.01803422 3.01803422 10.32 0.0016 Standard Parameter Estimate Error t Value Pr > |t| Intercept 6.287796134 0.17035034 36.91 <.0001 BrMn -0.305392711 0.25470914 -1.20 0.2322 BrHor -0.018921481 0.00589088 -3.21 0.0016 The SAS System 17:42 Sunday, March 11, 2012 83 The CANCORR Procedure Canonical Correlation Analysis Adjusted Approximate Squared Canonical Canonical Standard Canonical Correlation Correlation Error Correlation 1 0.371185 0.343618 0.065936 0.137778 2 0.118665 . 0.075395 0.014081 3 0.003877 . 0.076471 0.000015 Test of H0: The canonical correlations in the current row and all Eigenvalues of Inv(E)*H that follow are zero = CanRsq/(1-CanRsq) Likelihood Approximate Eigenvalue Difference Proportion Cumulative Ratio F Value Num DF Den DF Pr > F 1 0.1598 0.1455 0.9179 0.9179 0.85006777 3.10 9 404.15 0.0013 2 0.0143 0.0143 0.0820 0.9999 0.98590390 0.59 4 334 0.6666 3 0.0000 0.0001 1.0000 0.99998497 0.00 1 168 0.9600 Multivariate Statistics and F Approximations S=3 M=-0.5 N=82 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.85006777 3.10 9 404.15 0.0013 Pillai's Trace 0.15187457 2.99 9 504 0.0018 Hotelling-Lawley Trace 0.17409189 3.20 9 257.69 0.0011 Roy's Greatest Root 0.15979447 8.95 3 168 <.0001 NOTE: F Statistic for Roy's Greatest Root is an upper bound. The SAS System 17:42 Sunday, March 11, 2012 84 The CANCORR Procedure Canonical Correlation Analysis Raw Canonical Coefficients for the VAR Variables V1 V2 V3 ValMn 0.4797272742 -0.935267593 -1.73335521 ArMn 0.4700809294 0.9205960234 1.0374779705 DomMn -0.514745119 2.1856637828 0.1568479131 Raw Canonical Coefficients for the WITH Variables W1 W2 W3 HMd 3.0334569732 2.8023552283 -1.332409924 SatMd -0.743629959 2.8944628756 3.5500629532 BrMd 2.0980459659 -2.480211203 2.6404693933 The SAS System 17:42 Sunday, March 11, 2012 85 The CANCORR Procedure Canonical Correlation Analysis Standardized Canonical Coefficients for the VAR Variables V1 V2 V3 ValMn 0.4197 -0.8182 -1.5164 ArMn 0.5814 1.1386 1.2831 DomMn -0.2867 1.2174 0.0874 Standardized Canonical Coefficients for the WITH Variables W1 W2 W3 HMd 0.7191 0.6643 -0.3159 SatMd -0.1607 0.6254 0.7671 BrMd 0.5150 -0.6088 0.6482 The SAS System 17:42 Sunday, March 11, 2012 86 The CANCORR Procedure Canonical Structure Correlations Between the VAR Variables and Their Canonical Variables V1 V2 V3 ValMn 0.7951 0.2276 -0.5622 ArMn 0.9647 0.2164 0.1502 DomMn -0.3679 0.7720 -0.5184 Correlations Between the WITH Variables and Their Canonical Variables W1 W2 W3 HMd 0.8471 0.4847 -0.2178 SatMd -0.2314 0.6106 0.7574 BrMd 0.6866 -0.4863 0.5404 Correlations Between the VAR Variables and the Canonical Variables of the WITH Variables W1 W2 W3 ValMn 0.2951 0.0270 -0.0022 ArMn 0.3581 0.0257 0.0006 DomMn -0.1365 0.0916 -0.0020 Correlations Between the WITH Variables and the Canonical Variables of the VAR Variables V1 V2 V3 HMd 0.3144 0.0575 -0.0008 SatMd -0.0859 0.0725 0.0029 BrMd 0.2549 -0.0577 0.0021