The SAS System 17:42 Sunday, March 11, 2012 7 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 92 0.34483 0.17085 31.72410 0.05570 0.74540 SatMn 92 0.45755 0.18183 42.09460 0.06740 0.95310 BrMn 92 0.48705 0.15559 44.80870 0.05230 0.78090 HStd 92 0.22121 0.09546 20.35090 0.03030 0.42700 SatStd 92 0.25627 0.07179 23.57710 0.06690 0.41030 BrStd 92 0.27317 0.05926 25.13120 0.11780 0.39240 HMd 92 0.33188 0.24714 30.53270 0.02970 0.87860 SatMd 92 0.44857 0.24028 41.26800 0.05000 0.99340 BrMd 92 0.46906 0.21015 43.15320 0.01570 0.84310 HuEnt 92 5.70711 0.80354 525.05400 3.80420 7.13270 SatEnt 92 6.72624 0.90597 618.81430 3.59640 7.81020 BrEnt 92 7.14946 0.69689 657.75060 4.70570 7.94280 HuHor 92 19.69265 12.25553 1812 1.87100 52.78900 HuVert 92 18.84108 11.59437 1733 1.60300 51.04500 HuBoth 92 19.89779 12.98568 1831 1.64800 59.65000 SatHor 92 27.85604 9.92409 2563 3.50000 46.72600 SatVert 92 26.70125 10.43701 2457 2.53700 47.92300 SatBoth 92 25.19515 9.29276 2318 2.54600 48.86600 BrHor 92 25.38279 8.98372 2335 4.63500 48.43300 BrVer 92 23.51579 9.38752 2163 4.53500 43.37400 BrBoth 92 23.07220 9.18241 2123 3.68400 45.95900 ValMn 92 6.32620 1.02172 582.01000 3.79000 8.15000 ArMn 92 4.37739 1.25680 402.72000 2.33000 6.96000 DomMn 92 5.67272 1.04616 521.89000 3.00000 7.77000 The SAS System 17:42 Sunday, March 11, 2012 8 The CORR Procedure Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn 0.38719 0.39998 -0.09537 0.0001 <.0001 0.3658 SatMn -0.23076 -0.33279 0.12727 0.0269 0.0012 0.2267 BrMn 0.31768 -0.00201 0.27009 0.0020 0.9849 0.0092 HStd -0.03072 -0.05794 -0.04787 0.7713 0.5833 0.6504 SatStd -0.19334 -0.18569 -0.00848 0.0648 0.0764 0.9361 BrStd -0.18067 -0.17453 0.19299 0.0848 0.0961 0.0653 HMd 0.43842 0.38624 -0.09377 <.0001 0.0001 0.3740 SatMd -0.20004 -0.34949 0.19867 0.0559 0.0006 0.0576 BrMd 0.29831 0.00039 0.22307 0.0039 0.9970 0.0326 HuEnt 0.08528 -0.01925 0.21263 0.4189 0.8555 0.0419 SatEnt 0.11890 -0.09509 0.25488 0.2590 0.3672 0.0142 BrEnt 0.06345 -0.15369 0.21794 0.5479 0.1435 0.0369 HuHor 0.04589 -0.10443 0.01673 0.6640 0.3218 0.8743 HuVert 0.00962 -0.15475 0.06870 0.9275 0.1408 0.5152 HuBoth 0.02654 -0.12501 0.02286 0.8017 0.2351 0.8287 The SAS System 17:42 Sunday, March 11, 2012 9 The CORR Procedure Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn SatHor -0.03370 -0.17187 0.16831 0.7498 0.1014 0.1088 SatVert -0.12908 -0.19108 0.12683 0.2201 0.0681 0.2283 SatBoth -0.04580 -0.15711 0.15089 0.6646 0.1347 0.1511 BrHor 0.17840 -0.23403 0.28679 0.0889 0.0247 0.0056 BrVer 0.01058 -0.26983 0.19573 0.9203 0.0093 0.0615 BrBoth 0.15215 -0.18313 0.28277 0.1477 0.0806 0.0063 The SAS System 17:42 Sunday, March 11, 2012 10 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 92 6.32620 1.02172 582.01000 3.79000 8.15000 ArMn 92 4.37739 1.25680 402.72000 2.33000 6.96000 DomMn 92 5.67272 1.04616 521.89000 3.00000 7.77000 HMn 92 0.34483 0.17085 31.72410 0.05570 0.74540 SatMn 92 0.45755 0.18183 42.09460 0.06740 0.95310 BrMn 92 0.48705 0.15559 44.80870 0.05230 0.78090 HStd 92 0.22121 0.09546 20.35090 0.03030 0.42700 SatStd 92 0.25627 0.07179 23.57710 0.06690 0.41030 BrStd 92 0.27317 0.05926 25.13120 0.11780 0.39240 HMd 92 0.33188 0.24714 30.53270 0.02970 0.87860 SatMd 92 0.44857 0.24028 41.26800 0.05000 0.99340 BrMd 92 0.46906 0.21015 43.15320 0.01570 0.84310 HuEnt 92 5.70711 0.80354 525.05400 3.80420 7.13270 SatEnt 92 6.72624 0.90597 618.81430 3.59640 7.81020 BrEnt 92 7.14946 0.69689 657.75060 4.70570 7.94280 HuHor 92 19.69265 12.25553 1812 1.87100 52.78900 HuVert 92 18.84108 11.59437 1733 1.60300 51.04500 HuBoth 92 19.89779 12.98568 1831 1.64800 59.65000 SatHor 92 27.85604 9.92409 2563 3.50000 46.72600 SatVert 92 26.70125 10.43701 2457 2.53700 47.92300 SatBoth 92 25.19515 9.29276 2318 2.54600 48.86600 BrHor 92 25.38279 8.98372 2335 4.63500 48.43300 BrVer 92 23.51579 9.38752 2163 4.53500 43.37400 BrBoth 92 23.07220 9.18241 2123 3.68400 45.95900 The SAS System 17:42 Sunday, March 11, 2012 11 The CORR Procedure Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn SatMn BrMn HStd SatStd ValMn 1.00000 0.26714 0.25736 0.38719 -0.23076 0.31768 -0.03072 -0.19334 0.0100 0.0133 0.0001 0.0269 0.0020 0.7713 0.0648 ArMn 0.26714 1.00000 -0.59144 0.39998 -0.33279 -0.00201 -0.05794 -0.18569 0.0100 <.0001 <.0001 0.0012 0.9849 0.5833 0.0764 DomMn 0.25736 -0.59144 1.00000 -0.09537 0.12727 0.27009 -0.04787 -0.00848 0.0133 <.0001 0.3658 0.2267 0.0092 0.6504 0.9361 HMn 0.38719 0.39998 -0.09537 1.00000 -0.40196 0.22296 0.22241 -0.13535 0.0001 <.0001 0.3658 <.0001 0.0327 0.0331 0.1983 SatMn -0.23076 -0.33279 0.12727 -0.40196 1.00000 -0.25532 -0.10113 0.23856 0.0269 0.0012 0.2267 <.0001 0.0140 0.3374 0.0220 BrMn 0.31768 -0.00201 0.27009 0.22296 -0.25532 1.00000 -0.26561 -0.59234 0.0020 0.9849 0.0092 0.0327 0.0140 0.0105 <.0001 HStd -0.03072 -0.05794 -0.04787 0.22241 -0.10113 -0.26561 1.00000 0.24773 0.7713 0.5833 0.6504 0.0331 0.3374 0.0105 0.0173 SatStd -0.19334 -0.18569 -0.00848 -0.13535 0.23856 -0.59234 0.24773 1.00000 0.0648 0.0764 0.9361 0.1983 0.0220 <.0001 0.0173 BrStd -0.18067 -0.17453 0.19299 -0.25736 0.16338 -0.13120 0.13807 0.34018 0.0848 0.0961 0.0653 0.0133 0.1197 0.2125 0.1894 0.0009 HMd 0.43842 0.38624 -0.09377 0.91813 -0.38822 0.23002 0.11302 -0.17662 <.0001 0.0001 0.3740 <.0001 0.0001 0.0274 0.2834 0.0921 SatMd -0.20004 -0.34949 0.19867 -0.41868 0.96885 -0.24666 -0.09084 0.20380 0.0559 0.0006 0.0576 <.0001 <.0001 0.0178 0.3891 0.0513 BrMd 0.29831 0.00039 0.22307 0.23924 -0.24876 0.95658 -0.24706 -0.56161 0.0039 0.9970 0.0326 0.0216 0.0168 <.0001 0.0176 <.0001 HuEnt 0.08528 -0.01925 0.21263 0.27679 -0.21341 0.32208 0.17407 -0.19493 0.4189 0.8555 0.0419 0.0076 0.0411 0.0017 0.0970 0.0626 SatEnt 0.11890 -0.09509 0.25488 0.27902 -0.10722 0.54036 -0.06910 -0.28816 0.2590 0.3672 0.0142 0.0071 0.3090 <.0001 0.5128 0.0053 BrEnt 0.06345 -0.15369 0.21794 0.03539 0.19691 0.54513 -0.16773 -0.45733 0.5479 0.1435 0.0369 0.7377 0.0599 <.0001 0.1100 <.0001 The SAS System 17:42 Sunday, March 11, 2012 12 The CORR Procedure Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor ValMn -0.18067 0.43842 -0.20004 0.29831 0.08528 0.11890 0.06345 0.04589 0.0848 <.0001 0.0559 0.0039 0.4189 0.2590 0.5479 0.6640 ArMn -0.17453 0.38624 -0.34949 0.00039 -0.01925 -0.09509 -0.15369 -0.10443 0.0961 0.0001 0.0006 0.9970 0.8555 0.3672 0.1435 0.3218 DomMn 0.19299 -0.09377 0.19867 0.22307 0.21263 0.25488 0.21794 0.01673 0.0653 0.3740 0.0576 0.0326 0.0419 0.0142 0.0369 0.8743 HMn -0.25736 0.91813 -0.41868 0.23924 0.27679 0.27902 0.03539 0.08171 0.0133 <.0001 <.0001 0.0216 0.0076 0.0071 0.7377 0.4388 SatMn 0.16338 -0.38822 0.96885 -0.24876 -0.21341 -0.10722 0.19691 0.03391 0.1197 0.0001 <.0001 0.0168 0.0411 0.3090 0.0599 0.7483 BrMn -0.13120 0.23002 -0.24666 0.95658 0.32208 0.54036 0.54513 -0.24332 0.2125 0.0274 0.0178 <.0001 0.0017 <.0001 <.0001 0.0194 HStd 0.13807 0.11302 -0.09084 -0.24706 0.17407 -0.06910 -0.16773 0.56152 0.1894 0.2834 0.3891 0.0176 0.0970 0.5128 0.1100 <.0001 SatStd 0.34018 -0.17662 0.20380 -0.56161 -0.19493 -0.28816 -0.45733 0.33730 0.0009 0.0921 0.0513 <.0001 0.0626 0.0053 <.0001 0.0010 BrStd 1.00000 -0.24338 0.16774 -0.16227 0.08880 -0.08331 -0.00197 0.18539 0.0194 0.1100 0.1222 0.3999 0.4298 0.9852 0.0768 HMd -0.24338 1.00000 -0.39718 0.26672 0.20885 0.18565 -0.00545 0.03981 0.0194 <.0001 0.0102 0.0457 0.0764 0.9589 0.7063 SatMd 0.16774 -0.39718 1.00000 -0.26344 -0.22769 -0.12731 0.17324 0.03446 0.1100 <.0001 0.0112 0.0290 0.2265 0.0986 0.7444 BrMd -0.16227 0.26672 -0.26344 1.00000 0.26269 0.49834 0.47331 -0.23144 0.1222 0.0102 0.0112 0.0114 <.0001 <.0001 0.0264 HuEnt 0.08880 0.20885 -0.22769 0.26269 1.00000 0.55708 0.60950 0.18565 0.3999 0.0457 0.0290 0.0114 <.0001 <.0001 0.0764 SatEnt -0.08331 0.18565 -0.12731 0.49834 0.55708 1.00000 0.64919 -0.11601 0.4298 0.0764 0.2265 <.0001 <.0001 <.0001 0.2708 BrEnt -0.00197 -0.00545 0.17324 0.47331 0.60950 0.64919 1.00000 -0.08332 0.9852 0.9589 0.0986 <.0001 <.0001 <.0001 0.4298 The SAS System 17:42 Sunday, March 11, 2012 13 The CORR Procedure Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth ValMn 0.00962 0.02654 -0.03370 -0.12908 -0.04580 0.17840 0.01058 0.15215 0.9275 0.8017 0.7498 0.2201 0.6646 0.0889 0.9203 0.1477 ArMn -0.15475 -0.12501 -0.17187 -0.19108 -0.15711 -0.23403 -0.26983 -0.18313 0.1408 0.2351 0.1014 0.0681 0.1347 0.0247 0.0093 0.0806 DomMn 0.06870 0.02286 0.16831 0.12683 0.15089 0.28679 0.19573 0.28277 0.5152 0.8287 0.1088 0.2283 0.1511 0.0056 0.0615 0.0063 HMn 0.05340 0.07868 -0.18294 -0.14982 -0.13302 -0.19131 -0.15132 -0.16282 0.6132 0.4560 0.0809 0.1540 0.2062 0.0677 0.1499 0.1210 SatMn 0.03150 0.04861 0.13686 0.13249 0.11490 -0.00842 0.07070 0.02630 0.7656 0.6454 0.1933 0.2080 0.2754 0.9365 0.5030 0.8035 BrMn -0.24261 -0.27423 -0.14748 -0.15838 -0.15422 0.24082 0.11439 0.22239 0.0198 0.0082 0.1606 0.1316 0.1421 0.0208 0.2776 0.0331 HStd 0.54975 0.58855 0.02095 0.10633 0.07689 -0.06979 0.04012 -0.04971 <.0001 <.0001 0.8428 0.3131 0.4663 0.5086 0.7042 0.6380 SatStd 0.35900 0.36420 0.25410 0.28941 0.36161 0.04274 0.22739 0.10949 0.0004 0.0004 0.0145 0.0051 0.0004 0.6858 0.0293 0.2988 BrStd 0.23281 0.21485 0.16883 0.13093 0.24931 0.15069 0.09949 0.20453 0.0255 0.0397 0.1077 0.2135 0.0165 0.1516 0.3454 0.0505 HMd 0.01598 0.04758 -0.22492 -0.20372 -0.16946 -0.19153 -0.19084 -0.18755 0.8798 0.6525 0.0311 0.0514 0.1063 0.0674 0.0684 0.0734 SatMd 0.04000 0.05184 0.09268 0.06658 0.06134 -0.04018 0.00462 -0.00791 0.7050 0.6236 0.3796 0.5283 0.5613 0.7037 0.9652 0.9404 BrMd -0.23165 -0.25612 -0.17660 -0.18405 -0.18587 0.20449 0.06375 0.17043 0.0263 0.0137 0.0922 0.0790 0.0761 0.0505 0.5460 0.1043 HuEnt 0.19214 0.15514 0.25015 0.35229 0.29886 0.16271 0.30394 0.24934 0.0665 0.1398 0.0162 0.0006 0.0038 0.1212 0.0032 0.0165 SatEnt -0.12062 -0.13756 0.24255 0.25594 0.20045 0.19786 0.23365 0.23566 0.2521 0.1910 0.0198 0.0138 0.0554 0.0587 0.0250 0.0237 BrEnt -0.10634 -0.11091 0.09409 0.09757 0.08137 0.19906 0.24247 0.25888 0.3130 0.2926 0.3723 0.3548 0.4407 0.0571 0.0199 0.0127 The SAS System 17:42 Sunday, March 11, 2012 14 The CORR Procedure Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn SatMn BrMn HStd SatStd HuHor 0.04589 -0.10443 0.01673 0.08171 0.03391 -0.24332 0.56152 0.33730 0.6640 0.3218 0.8743 0.4388 0.7483 0.0194 <.0001 0.0010 HuVert 0.00962 -0.15475 0.06870 0.05340 0.03150 -0.24261 0.54975 0.35900 0.9275 0.1408 0.5152 0.6132 0.7656 0.0198 <.0001 0.0004 HuBoth 0.02654 -0.12501 0.02286 0.07868 0.04861 -0.27423 0.58855 0.36420 0.8017 0.2351 0.8287 0.4560 0.6454 0.0082 <.0001 0.0004 SatHor -0.03370 -0.17187 0.16831 -0.18294 0.13686 -0.14748 0.02095 0.25410 0.7498 0.1014 0.1088 0.0809 0.1933 0.1606 0.8428 0.0145 SatVert -0.12908 -0.19108 0.12683 -0.14982 0.13249 -0.15838 0.10633 0.28941 0.2201 0.0681 0.2283 0.1540 0.2080 0.1316 0.3131 0.0051 SatBoth -0.04580 -0.15711 0.15089 -0.13302 0.11490 -0.15422 0.07689 0.36161 0.6646 0.1347 0.1511 0.2062 0.2754 0.1421 0.4663 0.0004 BrHor 0.17840 -0.23403 0.28679 -0.19131 -0.00842 0.24082 -0.06979 0.04274 0.0889 0.0247 0.0056 0.0677 0.9365 0.0208 0.5086 0.6858 BrVer 0.01058 -0.26983 0.19573 -0.15132 0.07070 0.11439 0.04012 0.22739 0.9203 0.0093 0.0615 0.1499 0.5030 0.2776 0.7042 0.0293 BrBoth 0.15215 -0.18313 0.28277 -0.16282 0.02630 0.22239 -0.04971 0.10949 0.1477 0.0806 0.0063 0.1210 0.8035 0.0331 0.6380 0.2988 Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor HuHor 0.18539 0.03981 0.03446 -0.23144 0.18565 -0.11601 -0.08332 1.00000 0.0768 0.7063 0.7444 0.0264 0.0764 0.2708 0.4298 HuVert 0.23281 0.01598 0.04000 -0.23165 0.19214 -0.12062 -0.10634 0.98105 0.0255 0.8798 0.7050 0.0263 0.0665 0.2521 0.3130 <.0001 HuBoth 0.21485 0.04758 0.05184 -0.25612 0.15514 -0.13756 -0.11091 0.99058 0.0397 0.6525 0.6236 0.0137 0.1398 0.1910 0.2926 <.0001 SatHor 0.16883 -0.22492 0.09268 -0.17660 0.25015 0.24255 0.09409 0.25346 0.1077 0.0311 0.3796 0.0922 0.0162 0.0198 0.3723 0.0148 The SAS System 17:42 Sunday, March 11, 2012 15 The CORR Procedure Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor SatVert 0.13093 -0.20372 0.06658 -0.18405 0.35229 0.25594 0.09757 0.29370 0.2135 0.0514 0.5283 0.0790 0.0006 0.0138 0.3548 0.0045 SatBoth 0.24931 -0.16946 0.06134 -0.18587 0.29886 0.20045 0.08137 0.29941 0.0165 0.1063 0.5613 0.0761 0.0038 0.0554 0.4407 0.0037 BrHor 0.15069 -0.19153 -0.04018 0.20449 0.16271 0.19786 0.19906 0.07625 0.1516 0.0674 0.7037 0.0505 0.1212 0.0587 0.0571 0.4700 BrVer 0.09949 -0.19084 0.00462 0.06375 0.30394 0.23365 0.24247 0.19940 0.3454 0.0684 0.9652 0.5460 0.0032 0.0250 0.0199 0.0567 BrBoth 0.20453 -0.18755 -0.00791 0.17043 0.24934 0.23566 0.25888 0.12146 0.0505 0.0734 0.9404 0.1043 0.0165 0.0237 0.0127 0.2488 Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth HuHor 0.98105 0.99058 0.25346 0.29370 0.29941 0.07625 0.19940 0.12146 <.0001 <.0001 0.0148 0.0045 0.0037 0.4700 0.0567 0.2488 HuVert 1.00000 0.98638 0.25609 0.31306 0.30665 0.10624 0.23267 0.14930 <.0001 0.0137 0.0024 0.0029 0.3135 0.0256 0.1555 HuBoth 0.98638 1.00000 0.23602 0.28275 0.28912 0.06797 0.19539 0.11461 <.0001 0.0235 0.0063 0.0052 0.5197 0.0620 0.2767 SatHor 0.25609 0.23602 1.00000 0.89306 0.93485 0.53180 0.57336 0.58782 0.0137 0.0235 <.0001 <.0001 <.0001 <.0001 <.0001 SatVert 0.31306 0.28275 0.89306 1.00000 0.91692 0.39171 0.61685 0.48553 0.0024 0.0063 <.0001 <.0001 0.0001 <.0001 <.0001 SatBoth 0.30665 0.28912 0.93485 0.91692 1.00000 0.46178 0.55007 0.56549 0.0029 0.0052 <.0001 <.0001 <.0001 <.0001 <.0001 BrHor 0.10624 0.06797 0.53180 0.39171 0.46178 1.00000 0.76927 0.94439 0.3135 0.5197 <.0001 0.0001 <.0001 <.0001 <.0001 BrVer 0.23267 0.19539 0.57336 0.61685 0.55007 0.76927 1.00000 0.80537 0.0256 0.0620 <.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 16 The CORR Procedure Pearson Correlation Coefficients, N = 92 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth BrBoth 0.14930 0.11461 0.58782 0.48553 0.56549 0.94439 0.80537 1.00000 0.1555 0.2767 <.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 17 The GLM Procedure Number of Observations Read 92 Number of Observations Used 92 The SAS System 17:42 Sunday, March 11, 2012 18 The GLM Procedure Dependent Variable: ValMn Sum of Source DF Squares Mean Square F Value Pr > F Model 3 27.18282510 9.06094170 11.76 <.0001 Error 88 67.81294338 0.77060163 Corrected Total 91 94.99576848 R-Square Coeff Var Root MSE ValMn Mean 0.286148 13.87626 0.877839 6.326196 Source DF Type I SS Mean Square F Value Pr > F HMd 1 18.25960660 18.25960660 23.70 <.0001 BrMn 1 4.71601533 4.71601533 6.12 0.0153 BrHor 1 4.20720316 4.20720316 5.46 0.0217 Source DF Type III SS Mean Square F Value Pr > F HMd 1 16.54856106 16.54856106 21.47 <.0001 BrMn 1 2.13467366 2.13467366 2.77 0.0996 BrHor 1 4.20720316 4.20720316 5.46 0.0217 Standard Parameter Estimate Error t Value Pr > |t| Intercept 4.551946956 0.37811927 12.04 <.0001 HMd 1.836902503 0.39638841 4.63 <.0001 BrMn 1.059707646 0.63670064 1.66 0.0996 BrHor 0.025548446 0.01093409 2.34 0.0217 The SAS System 17:42 Sunday, March 11, 2012 19 The GLM Procedure Number of Observations Read 92 Number of Observations Used 92 The SAS System 17:42 Sunday, March 11, 2012 20 The GLM Procedure Dependent Variable: ArMn Sum of Source DF Squares Mean Square F Value Pr > F Model 2 28.0682250 14.0341125 10.80 <.0001 Error 89 115.6711489 1.2996758 Corrected Total 91 143.7393739 R-Square Coeff Var Root MSE ArMn Mean 0.195272 26.04367 1.140033 4.377391 Source DF Type I SS Mean Square F Value Pr > F HMn 1 22.99546935 22.99546935 17.69 <.0001 SatMn 1 5.07275564 5.07275564 3.90 0.0513 Source DF Type III SS Mean Square F Value Pr > F HMn 1 12.14918382 12.14918382 9.35 0.0029 SatMn 1 5.07275564 5.07275564 3.90 0.0513 Standard Parameter Estimate Error t Value Pr > |t| Intercept 4.220826896 0.51081354 8.26 <.0001 HMn 2.335665161 0.76393174 3.06 0.0029 SatMn -1.418066677 0.71778140 -1.98 0.0513 The SAS System 17:42 Sunday, March 11, 2012 21 The GLM Procedure Number of Observations Read 92 Number of Observations Used 92 The SAS System 17:42 Sunday, March 11, 2012 22 The GLM Procedure Dependent Variable: DomMn Sum of Source DF Squares Mean Square F Value Pr > F Model 2 12.46376724 6.23188362 6.37 0.0026 Error 89 87.13185341 0.97900959 Corrected Total 91 99.59562065 R-Square Coeff Var Root MSE DomMn Mean 0.125144 17.44224 0.989449 5.672717 Source DF Type I SS Mean Square F Value Pr > F BrMn 1 7.26519940 7.26519940 7.42 0.0078 BrHor 1 5.19856783 5.19856783 5.31 0.0235 Source DF Type III SS Mean Square F Value Pr > F BrMn 1 4.27245219 4.27245219 4.36 0.0396 BrHor 1 5.19856783 5.19856783 5.31 0.0235 Standard Parameter Estimate Error t Value Pr > |t| Intercept 4.278095244 0.40628732 10.53 <.0001 BrMn 1.434824524 0.68683696 2.09 0.0396 BrHor 0.027411849 0.01189570 2.30 0.0235 The SAS System 17:42 Sunday, March 11, 2012 23 The CANCORR Procedure Canonical Correlation Analysis Adjusted Approximate Squared Canonical Canonical Standard Canonical Correlation Correlation Error Correlation 1 0.541340 0.507024 0.074109 0.293049 2 0.355265 0.344165 0.091598 0.126213 3 0.035084 . 0.104699 0.001231 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 0.4145 0.2701 0.7400 0.7400 0.61696369 5.11 9 209.45 <.0001 2 0.1444 0.1432 0.2578 0.9978 0.87271120 3.06 4 174 0.0180 3 0.0012 0.0022 1.0000 0.99876913 0.11 1 88 0.7427 Multivariate Statistics and F Approximations S=3 M=-0.5 N=42 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.61696369 5.11 9 209.45 <.0001 Pillai's Trace 0.42049357 4.78 9 264 <.0001 Hotelling-Lawley Trace 0.56020245 5.31 9 132 <.0001 Roy's Greatest Root 0.41452603 12.16 3 88 <.0001 NOTE: F Statistic for Roy's Greatest Root is an upper bound. The SAS System 17:42 Sunday, March 11, 2012 24 The CANCORR Procedure Canonical Correlation Analysis Raw Canonical Coefficients for the VAR Variables V1 V2 V3 ValMn 0.6629157076 0.4402916779 -0.900493037 ArMn 0.4413970199 -0.207648509 1.0643132995 DomMn -0.080011374 0.6309189451 1.2501721717 Raw Canonical Coefficients for the WITH Variables W1 W2 W3 HMd 3.356471497 0.4481465986 -2.940403915 SatMd -1.246083443 2.7610167416 -3.473192475 BrMd 0.1856789389 4.4591541231 2.2926457375 The SAS System 17:42 Sunday, March 11, 2012 25 The CANCORR Procedure Canonical Correlation Analysis Standardized Canonical Coefficients for the VAR Variables V1 V2 V3 ValMn 0.6773 0.4499 -0.9201 ArMn 0.5547 -0.2610 1.3376 DomMn -0.0837 0.6600 1.3079 Standardized Canonical Coefficients for the WITH Variables W1 W2 W3 HMd 0.8295 0.1108 -0.7267 SatMd -0.2994 0.6634 -0.8345 BrMd 0.0390 0.9371 0.4818 The SAS System 17:42 Sunday, March 11, 2012 26 The CANCORR Procedure Canonical Structure Correlations Between the VAR Variables and Their Canonical Variables V1 V2 V3 ValMn 0.8040 0.5500 -0.2261 ArMn 0.7852 -0.5312 0.3183 DomMn -0.2375 0.9302 0.2800 Correlations Between the WITH Variables and Their Canonical Variables W1 W2 W3 HMd 0.9589 0.0972 -0.2667 SatMd -0.6392 0.3725 -0.6728 BrMd 0.3392 0.7919 0.5078 Correlations Between the VAR Variables and the Canonical Variables of the WITH Variables W1 W2 W3 ValMn 0.4352 0.1954 -0.0079 ArMn 0.4251 -0.1887 0.0112 DomMn -0.1286 0.3305 0.0098 Correlations Between the WITH Variables and the Canonical Variables of the VAR Variables V1 V2 V3 HMd 0.5191 0.0345 -0.0094 SatMd -0.3460 0.1324 -0.0236 BrMd 0.1836 0.2813 0.0178