The SAS System 17:42 Sunday, March 11, 2012 47 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 281 0.27181 0.14607 76.37950 0.03790 0.69090 SatMn 281 0.40926 0.16094 115.00290 0.07590 0.86120 BrMn 281 0.43767 0.16940 122.98570 0.07900 0.84900 HStd 281 0.25713 0.09143 72.25240 0.05900 0.45050 SatStd 281 0.27251 0.07654 76.57560 0.08530 0.44900 BrStd 281 0.29068 0.05674 81.68180 0.13280 0.41470 HMd 281 0.19989 0.21824 56.16820 0 0.90910 SatMd 281 0.37173 0.23984 104.45620 0 1.00000 BrMd 281 0.40724 0.27038 114.43540 0 0.97650 HuEnt 281 5.39976 1.01236 1517 2.07720 7.20930 SatEnt 281 6.44721 1.11324 1812 2.47700 7.80900 BrEnt 281 6.80159 1.07606 1911 2.68250 7.94340 HuHor 281 20.69012 12.93166 5814 2.06000 66.83300 HuVert 281 20.59353 12.74609 5787 1.88500 66.49100 HuBoth 281 21.57604 13.06244 6063 1.98400 61.50500 SatHor 281 23.64305 8.35722 6644 7.23200 64.04400 SatVert 281 22.35199 8.49398 6281 6.43900 49.79100 SatBoth 281 21.29820 8.02596 5985 6.36000 56.97900 BrHor 281 19.37920 6.81716 5446 4.65200 51.30500 BrVer 281 18.29251 6.16276 5140 4.77900 40.55000 BrBoth 281 17.17029 6.43468 4825 5.14500 46.24100 ValMn 281 3.33879 0.98094 938.20000 1.50000 6.60000 ArMn 281 5.25758 0.92323 1477 2.38000 7.12000 DomMn 281 4.33918 0.83065 1219 1.98000 6.60000 The SAS System 17:42 Sunday, March 11, 2012 48 The CORR Procedure Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn 0.07883 0.02233 0.01352 0.1876 0.7094 0.8215 SatMn -0.13951 0.22507 -0.16697 0.0193 0.0001 0.0050 BrMn -0.11904 0.14703 -0.16887 0.0462 0.0136 0.0045 HStd -0.06853 0.04231 -0.11436 0.2522 0.4800 0.0555 SatStd -0.15193 0.00068 -0.03943 0.0108 0.9910 0.5104 BrStd -0.11267 0.04670 -0.05308 0.0593 0.4355 0.3754 HMd 0.11372 0.01468 0.05453 0.0569 0.8065 0.3625 SatMd -0.11964 0.19919 -0.15918 0.0451 0.0008 0.0075 BrMd -0.10152 0.13582 -0.17076 0.0894 0.0228 0.0041 HuEnt -0.02566 0.12750 -0.08284 0.6684 0.0326 0.1661 SatEnt -0.07809 0.12056 -0.12852 0.1918 0.0435 0.0313 BrEnt -0.08888 0.14314 -0.16230 0.1372 0.0163 0.0064 HuHor -0.05268 0.14057 -0.11790 0.3790 0.0184 0.0483 HuVert -0.04459 0.11779 -0.09918 0.4566 0.0485 0.0971 HuBoth -0.05348 0.10039 -0.10305 0.3718 0.0930 0.0846 The SAS System 17:42 Sunday, March 11, 2012 49 The CORR Procedure Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn SatHor 0.15675 -0.01963 0.11612 0.0085 0.7433 0.0518 SatVert 0.10957 0.04291 0.06374 0.0667 0.4737 0.2870 SatBoth 0.10737 0.01767 0.06648 0.0723 0.7681 0.2667 BrHor -0.08632 0.06072 -0.07067 0.1489 0.3105 0.2377 BrVer -0.09937 0.03202 -0.05454 0.0964 0.5929 0.3624 BrBoth -0.03277 0.01128 -0.00755 0.5843 0.8507 0.8998 The SAS System 17:42 Sunday, March 11, 2012 50 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 281 3.33879 0.98094 938.20000 1.50000 6.60000 ArMn 281 5.25758 0.92323 1477 2.38000 7.12000 DomMn 281 4.33918 0.83065 1219 1.98000 6.60000 HMn 281 0.27181 0.14607 76.37950 0.03790 0.69090 SatMn 281 0.40926 0.16094 115.00290 0.07590 0.86120 BrMn 281 0.43767 0.16940 122.98570 0.07900 0.84900 HStd 281 0.25713 0.09143 72.25240 0.05900 0.45050 SatStd 281 0.27251 0.07654 76.57560 0.08530 0.44900 BrStd 281 0.29068 0.05674 81.68180 0.13280 0.41470 HMd 281 0.19989 0.21824 56.16820 0 0.90910 SatMd 281 0.37173 0.23984 104.45620 0 1.00000 BrMd 281 0.40724 0.27038 114.43540 0 0.97650 HuEnt 281 5.39976 1.01236 1517 2.07720 7.20930 SatEnt 281 6.44721 1.11324 1812 2.47700 7.80900 BrEnt 281 6.80159 1.07606 1911 2.68250 7.94340 HuHor 281 20.69012 12.93166 5814 2.06000 66.83300 HuVert 281 20.59353 12.74609 5787 1.88500 66.49100 HuBoth 281 21.57604 13.06244 6063 1.98400 61.50500 SatHor 281 23.64305 8.35722 6644 7.23200 64.04400 SatVert 281 22.35199 8.49398 6281 6.43900 49.79100 SatBoth 281 21.29820 8.02596 5985 6.36000 56.97900 BrHor 281 19.37920 6.81716 5446 4.65200 51.30500 BrVer 281 18.29251 6.16276 5140 4.77900 40.55000 BrBoth 281 17.17029 6.43468 4825 5.14500 46.24100 The SAS System 17:42 Sunday, March 11, 2012 51 The CORR Procedure Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn SatMn BrMn HStd SatStd ValMn 1.00000 -0.47115 0.79172 0.07883 -0.13951 -0.11904 -0.06853 -0.15193 <.0001 <.0001 0.1876 0.0193 0.0462 0.2522 0.0108 ArMn -0.47115 1.00000 -0.63844 0.02233 0.22507 0.14703 0.04231 0.00068 <.0001 <.0001 0.7094 0.0001 0.0136 0.4800 0.9910 DomMn 0.79172 -0.63844 1.00000 0.01352 -0.16697 -0.16887 -0.11436 -0.03943 <.0001 <.0001 0.8215 0.0050 0.0045 0.0555 0.5104 HMn 0.07883 0.02233 0.01352 1.00000 -0.09414 0.00370 0.47172 -0.22962 0.1876 0.7094 0.8215 0.1154 0.9507 <.0001 0.0001 SatMn -0.13951 0.22507 -0.16697 -0.09414 1.00000 0.06758 -0.00273 0.23275 0.0193 0.0001 0.0050 0.1154 0.2589 0.9636 <.0001 BrMn -0.11904 0.14703 -0.16887 0.00370 0.06758 1.00000 -0.15387 -0.41195 0.0462 0.0136 0.0045 0.9507 0.2589 0.0098 <.0001 HStd -0.06853 0.04231 -0.11436 0.47172 -0.00273 -0.15387 1.00000 0.11841 0.2522 0.4800 0.0555 <.0001 0.9636 0.0098 0.0474 SatStd -0.15193 0.00068 -0.03943 -0.22962 0.23275 -0.41195 0.11841 1.00000 0.0108 0.9910 0.5104 0.0001 <.0001 <.0001 0.0474 BrStd -0.11267 0.04670 -0.05308 -0.13161 -0.04848 -0.08194 -0.02154 0.30927 0.0593 0.4355 0.3754 0.0274 0.4182 0.1708 0.7192 <.0001 HMd 0.11372 0.01468 0.05453 0.84393 -0.12172 0.05007 0.11994 -0.25232 0.0569 0.8065 0.3625 <.0001 0.0415 0.4031 0.0446 <.0001 SatMd -0.11964 0.19919 -0.15918 -0.00631 0.93335 0.10971 0.03452 0.09253 0.0451 0.0008 0.0075 0.9161 <.0001 0.0663 0.5645 0.1218 BrMd -0.10152 0.13582 -0.17076 0.03933 0.09625 0.96257 -0.12246 -0.39198 0.0894 0.0228 0.0041 0.5114 0.1074 <.0001 0.0402 <.0001 HuEnt -0.02566 0.12750 -0.08284 0.51441 0.03584 0.46597 0.21654 -0.31691 0.6684 0.0326 0.1661 <.0001 0.5496 <.0001 0.0003 <.0001 SatEnt -0.07809 0.12056 -0.12852 0.26715 0.16690 0.63212 0.06976 -0.41476 0.1918 0.0435 0.0313 <.0001 0.0050 <.0001 0.2438 <.0001 BrEnt -0.08888 0.14314 -0.16230 0.27244 0.24066 0.59233 0.13549 -0.43240 0.1372 0.0163 0.0064 <.0001 <.0001 <.0001 0.0231 <.0001 The SAS System 17:42 Sunday, March 11, 2012 52 The CORR Procedure Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor ValMn -0.11267 0.11372 -0.11964 -0.10152 -0.02566 -0.07809 -0.08888 -0.05268 0.0593 0.0569 0.0451 0.0894 0.6684 0.1918 0.1372 0.3790 ArMn 0.04670 0.01468 0.19919 0.13582 0.12750 0.12056 0.14314 0.14057 0.4355 0.8065 0.0008 0.0228 0.0326 0.0435 0.0163 0.0184 DomMn -0.05308 0.05453 -0.15918 -0.17076 -0.08284 -0.12852 -0.16230 -0.11790 0.3754 0.3625 0.0075 0.0041 0.1661 0.0313 0.0064 0.0483 HMn -0.13161 0.84393 -0.00631 0.03933 0.51441 0.26715 0.27244 0.26324 0.0274 <.0001 0.9161 0.5114 <.0001 <.0001 <.0001 <.0001 SatMn -0.04848 -0.12172 0.93335 0.09625 0.03584 0.16690 0.24066 0.02728 0.4182 0.0415 <.0001 0.1074 0.5496 0.0050 <.0001 0.6488 BrMn -0.08194 0.05007 0.10971 0.96257 0.46597 0.63212 0.59233 0.07717 0.1708 0.4031 0.0663 <.0001 <.0001 <.0001 <.0001 0.1972 HStd -0.02154 0.11994 0.03452 -0.12246 0.21654 0.06976 0.13549 0.53460 0.7192 0.0446 0.5645 0.0402 0.0003 0.2438 0.0231 <.0001 SatStd 0.30927 -0.25232 0.09253 -0.39198 -0.31691 -0.41476 -0.43240 0.08312 <.0001 <.0001 0.1218 <.0001 <.0001 <.0001 <.0001 0.1646 BrStd 1.00000 -0.14288 -0.10866 -0.12118 -0.03511 -0.15832 -0.21837 -0.00097 0.0165 0.0689 0.0424 0.5578 0.0078 0.0002 0.9870 HMd -0.14288 1.00000 -0.03159 0.07469 0.39400 0.21434 0.20157 0.07094 0.0165 0.5980 0.2119 <.0001 0.0003 0.0007 0.2359 SatMd -0.10866 -0.03159 1.00000 0.14638 0.12308 0.23952 0.34367 0.07814 0.0689 0.5980 0.0140 0.0392 <.0001 <.0001 0.1916 BrMd -0.12118 0.07469 0.14638 1.00000 0.49158 0.64002 0.61531 0.11688 0.0424 0.2119 0.0140 <.0001 <.0001 <.0001 0.0503 HuEnt -0.03511 0.39400 0.12308 0.49158 1.00000 0.78110 0.77015 0.29649 0.5578 <.0001 0.0392 <.0001 <.0001 <.0001 <.0001 SatEnt -0.15832 0.21434 0.23952 0.64002 0.78110 1.00000 0.91359 0.16725 0.0078 0.0003 <.0001 <.0001 <.0001 <.0001 0.0049 BrEnt -0.21837 0.20157 0.34367 0.61531 0.77015 0.91359 1.00000 0.28255 0.0002 0.0007 <.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 53 The CORR Procedure Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth ValMn -0.04459 -0.05348 0.15675 0.10957 0.10737 -0.08632 -0.09937 -0.03277 0.4566 0.3718 0.0085 0.0667 0.0723 0.1489 0.0964 0.5843 ArMn 0.11779 0.10039 -0.01963 0.04291 0.01767 0.06072 0.03202 0.01128 0.0485 0.0930 0.7433 0.4737 0.7681 0.3105 0.5929 0.8507 DomMn -0.09918 -0.10305 0.11612 0.06374 0.06648 -0.07067 -0.05454 -0.00755 0.0971 0.0846 0.0518 0.2870 0.2667 0.2377 0.3624 0.8998 HMn 0.24442 0.24613 0.27677 0.37046 0.34219 -0.01213 0.07319 0.10199 <.0001 <.0001 <.0001 <.0001 <.0001 0.8396 0.2213 0.0879 SatMn 0.01488 0.02599 0.00486 0.17462 0.03021 0.00520 0.10347 -0.07088 0.8039 0.6644 0.9353 0.0033 0.6140 0.9309 0.0834 0.2363 BrMn 0.03545 0.02761 -0.15359 -0.03023 -0.09593 0.17728 0.22139 0.14474 0.5540 0.6449 0.0099 0.6138 0.1086 0.0029 0.0002 0.0152 HStd 0.54580 0.58125 0.10567 0.11507 0.10576 -0.03948 0.04132 0.02575 <.0001 <.0001 0.0770 0.0540 0.0767 0.5098 0.4902 0.6673 SatStd 0.10441 0.12520 -0.05379 -0.12982 -0.06822 -0.06844 -0.09220 -0.06216 0.0806 0.0359 0.3691 0.0296 0.2544 0.2528 0.1231 0.2991 BrStd 0.02542 0.01805 -0.00679 -0.03176 0.01806 -0.14463 -0.14863 -0.08611 0.6713 0.7632 0.9098 0.5960 0.7631 0.0152 0.0126 0.1499 HMd 0.05160 0.04120 0.19838 0.27089 0.24860 -0.00802 0.01930 0.08240 0.3888 0.4915 0.0008 <.0001 <.0001 0.8935 0.7474 0.1684 SatMd 0.06467 0.08138 0.02434 0.21313 0.05700 0.02014 0.13386 -0.03638 0.2799 0.1737 0.6845 0.0003 0.3411 0.7368 0.0248 0.5436 BrMd 0.07056 0.06913 -0.13860 0.00071 -0.06179 0.13683 0.20929 0.12000 0.2384 0.2481 0.0201 0.9906 0.3020 0.0218 0.0004 0.0444 HuEnt 0.25709 0.25549 0.27685 0.43484 0.37147 0.22241 0.33284 0.31514 <.0001 <.0001 <.0001 <.0001 <.0001 0.0002 <.0001 <.0001 SatEnt 0.12214 0.11752 0.16062 0.32896 0.21363 0.20821 0.35271 0.23220 0.0408 0.0491 0.0070 <.0001 0.0003 0.0004 <.0001 <.0001 BrEnt 0.23622 0.24867 0.11276 0.31668 0.19654 0.22523 0.36910 0.23971 <.0001 <.0001 0.0591 <.0001 0.0009 0.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 54 The CORR Procedure Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 ValMn ArMn DomMn HMn SatMn BrMn HStd SatStd HuHor -0.05268 0.14057 -0.11790 0.26324 0.02728 0.07717 0.53460 0.08312 0.3790 0.0184 0.0483 <.0001 0.6488 0.1972 <.0001 0.1646 HuVert -0.04459 0.11779 -0.09918 0.24442 0.01488 0.03545 0.54580 0.10441 0.4566 0.0485 0.0971 <.0001 0.8039 0.5540 <.0001 0.0806 HuBoth -0.05348 0.10039 -0.10305 0.24613 0.02599 0.02761 0.58125 0.12520 0.3718 0.0930 0.0846 <.0001 0.6644 0.6449 <.0001 0.0359 SatHor 0.15675 -0.01963 0.11612 0.27677 0.00486 -0.15359 0.10567 -0.05379 0.0085 0.7433 0.0518 <.0001 0.9353 0.0099 0.0770 0.3691 SatVert 0.10957 0.04291 0.06374 0.37046 0.17462 -0.03023 0.11507 -0.12982 0.0667 0.4737 0.2870 <.0001 0.0033 0.6138 0.0540 0.0296 SatBoth 0.10737 0.01767 0.06648 0.34219 0.03021 -0.09593 0.10576 -0.06822 0.0723 0.7681 0.2667 <.0001 0.6140 0.1086 0.0767 0.2544 BrHor -0.08632 0.06072 -0.07067 -0.01213 0.00520 0.17728 -0.03948 -0.06844 0.1489 0.3105 0.2377 0.8396 0.9309 0.0029 0.5098 0.2528 BrVer -0.09937 0.03202 -0.05454 0.07319 0.10347 0.22139 0.04132 -0.09220 0.0964 0.5929 0.3624 0.2213 0.0834 0.0002 0.4902 0.1231 BrBoth -0.03277 0.01128 -0.00755 0.10199 -0.07088 0.14474 0.02575 -0.06216 0.5843 0.8507 0.8998 0.0879 0.2363 0.0152 0.6673 0.2991 Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor HuHor -0.00097 0.07094 0.07814 0.11688 0.29649 0.16725 0.28255 1.00000 0.9870 0.2359 0.1916 0.0503 <.0001 0.0049 <.0001 HuVert 0.02542 0.05160 0.06467 0.07056 0.25709 0.12214 0.23622 0.98788 0.6713 0.3888 0.2799 0.2384 <.0001 0.0408 <.0001 <.0001 HuBoth 0.01805 0.04120 0.08138 0.06913 0.25549 0.11752 0.24867 0.98172 0.7632 0.4915 0.1737 0.2481 <.0001 0.0491 <.0001 <.0001 SatHor -0.00679 0.19838 0.02434 -0.13860 0.27685 0.16062 0.11276 0.36787 0.9098 0.0008 0.6845 0.0201 <.0001 0.0070 0.0591 <.0001 The SAS System 17:42 Sunday, March 11, 2012 55 The CORR Procedure Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 BrStd HMd SatMd BrMd HuEnt SatEnt BrEnt HuHor SatVert -0.03176 0.27089 0.21313 0.00071 0.43484 0.32896 0.31668 0.43347 0.5960 <.0001 0.0003 0.9906 <.0001 <.0001 <.0001 <.0001 SatBoth 0.01806 0.24860 0.05700 -0.06179 0.37147 0.21363 0.19654 0.44526 0.7631 <.0001 0.3411 0.3020 <.0001 0.0003 0.0009 <.0001 BrHor -0.14463 -0.00802 0.02014 0.13683 0.22241 0.20821 0.22523 0.22645 0.0152 0.8935 0.7368 0.0218 0.0002 0.0004 0.0001 0.0001 BrVer -0.14863 0.01930 0.13386 0.20929 0.33284 0.35271 0.36910 0.28105 0.0126 0.7474 0.0248 0.0004 <.0001 <.0001 <.0001 <.0001 BrBoth -0.08611 0.08240 -0.03638 0.12000 0.31514 0.23220 0.23971 0.31012 0.1499 0.1684 0.5436 0.0444 <.0001 <.0001 <.0001 <.0001 Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth HuHor 0.98788 0.98172 0.36787 0.43347 0.44526 0.22645 0.28105 0.31012 <.0001 <.0001 <.0001 <.0001 <.0001 0.0001 <.0001 <.0001 HuVert 1.00000 0.98282 0.37631 0.41773 0.43913 0.22305 0.26576 0.30228 <.0001 <.0001 <.0001 <.0001 0.0002 <.0001 <.0001 HuBoth 0.98282 1.00000 0.32504 0.38182 0.40472 0.21101 0.26755 0.29587 <.0001 <.0001 <.0001 <.0001 0.0004 <.0001 <.0001 SatHor 0.37631 0.32504 1.00000 0.81375 0.90427 0.49472 0.45537 0.56390 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 SatVert 0.41773 0.38182 0.81375 1.00000 0.91461 0.33429 0.49053 0.47561 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 SatBoth 0.43913 0.40472 0.90427 0.91461 1.00000 0.41500 0.46460 0.55047 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 BrHor 0.22305 0.21101 0.49472 0.33429 0.41500 1.00000 0.78668 0.90718 0.0002 0.0004 <.0001 <.0001 <.0001 <.0001 <.0001 BrVer 0.26576 0.26755 0.45537 0.49053 0.46460 0.78668 1.00000 0.86572 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 56 The CORR Procedure Pearson Correlation Coefficients, N = 281 Prob > |r| under H0: Rho=0 HuVert HuBoth SatHor SatVert SatBoth BrHor BrVer BrBoth BrBoth 0.30228 0.29587 0.56390 0.47561 0.55047 0.90718 0.86572 1.00000 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 The SAS System 17:42 Sunday, March 11, 2012 57 The GLM Procedure Number of Observations Read 281 Number of Observations Used 281 The SAS System 17:42 Sunday, March 11, 2012 58 The GLM Procedure Dependent Variable: ValMn Sum of Source DF Squares Mean Square F Value Pr > F Model 3 8.7980715 2.9326905 3.12 0.0266 Error 277 260.6289171 0.9408986 Corrected Total 280 269.4269886 R-Square Coeff Var Root MSE ValMn Mean 0.032655 29.05242 0.969999 3.338790 Source DF Type I SS Mean Square F Value Pr > F HMd 1 3.48448563 3.48448563 3.70 0.0553 BrMn 1 4.20242211 4.20242211 4.47 0.0355 BrHor 1 1.11116374 1.11116374 1.18 0.2781 Source DF Type III SS Mean Square F Value Pr > F HMd 1 3.79693171 3.79693171 4.04 0.0455 BrMn 1 3.34793650 3.34793650 3.56 0.0603 BrHor 1 1.11116374 1.11116374 1.18 0.2781 Standard Parameter Estimate Error t Value Pr > |t| Intercept 3.701436121 0.21868030 16.93 <.0001 HMd 0.534336206 0.26599264 2.01 0.0455 BrMn -0.656806995 0.34819343 -1.89 0.0603 BrHor -0.009390847 0.00864146 -1.09 0.2781 The SAS System 17:42 Sunday, March 11, 2012 59 The GLM Procedure Number of Observations Read 281 Number of Observations Used 281 The SAS System 17:42 Sunday, March 11, 2012 60 The GLM Procedure Dependent Variable: ArMn Sum of Source DF Squares Mean Square F Value Pr > F Model 2 12.5454268 6.2727134 7.71 0.0005 Error 278 226.1113276 0.8133501 Corrected Total 280 238.6567544 R-Square Coeff Var Root MSE ArMn Mean 0.052567 17.15350 0.901859 5.257580 Source DF Type I SS Mean Square F Value Pr > F HMn 1 0.11899305 0.11899305 0.15 0.7024 SatMn 1 12.42643375 12.42643375 15.28 0.0001 Source DF Type III SS Mean Square F Value Pr > F HMn 1 0.45598910 0.45598910 0.56 0.4546 SatMn 1 12.42643375 12.42643375 15.28 0.0001 Standard Parameter Estimate Error t Value Pr > |t| Intercept 4.644034061 0.18603240 24.96 <.0001 HMn 0.277513538 0.37063438 0.75 0.4546 SatMn 1.314837134 0.33638566 3.91 0.0001 The SAS System 17:42 Sunday, March 11, 2012 61 The GLM Procedure Number of Observations Read 281 Number of Observations Used 281 The SAS System 17:42 Sunday, March 11, 2012 62 The GLM Procedure Dependent Variable: DomMn Sum of Source DF Squares Mean Square F Value Pr > F Model 2 5.8404971 2.9202486 4.33 0.0140 Error 278 187.3528146 0.6739310 Corrected Total 280 193.1933117 R-Square Coeff Var Root MSE DomMn Mean 0.030231 18.91907 0.820933 4.339181 Source DF Type I SS Mean Square F Value Pr > F BrMn 1 5.50958506 5.50958506 8.18 0.0046 BrHor 1 0.33091206 0.33091206 0.49 0.4841 Source DF Type III SS Mean Square F Value Pr > F BrMn 1 4.87566051 4.87566051 7.23 0.0076 BrHor 1 0.33091206 0.33091206 0.49 0.4841 Standard Parameter Estimate Error t Value Pr > |t| Intercept 4.784912905 0.18054682 26.50 <.0001 BrMn -0.791535752 0.29428052 -2.69 0.0076 BrHor -0.005123985 0.00731239 -0.70 0.4841 The SAS System 17:42 Sunday, March 11, 2012 63 The CANCORR Procedure Canonical Correlation Analysis Adjusted Approximate Squared Canonical Canonical Standard Canonical Correlation Correlation Error Correlation 1 0.246163 0.211654 0.056140 0.060596 2 0.140742 . 0.058578 0.019808 3 0.078404 . 0.059394 0.006147 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 0.0645 0.0443 0.7096 0.7096 0.91513556 2.76 9 669.43 0.0036 2 0.0202 0.0140 0.2223 0.9320 0.97416641 1.82 4 552 0.1239 3 0.0062 0.0680 1.0000 0.99385287 1.71 1 277 0.1916 Multivariate Statistics and F Approximations S=3 M=-0.5 N=136.5 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.91513556 2.76 9 669.43 0.0036 Pillai's Trace 0.08655162 2.74 9 831 0.0037 Hotelling-Lawley Trace 0.09089871 2.77 9 428.97 0.0037 Roy's Greatest Root 0.06450504 5.96 3 277 0.0006 NOTE: F Statistic for Roy's Greatest Root is an upper bound. The SAS System 17:42 Sunday, March 11, 2012 64 The CANCORR Procedure Canonical Correlation Analysis Raw Canonical Coefficients for the VAR Variables V1 V2 V3 ValMn 0.1785000973 1.2449657835 -1.103617977 ArMn 0.6046033375 0.7122823897 1.0574437335 DomMn -0.812819205 -0.220940028 2.1020249317 Raw Canonical Coefficients for the WITH Variables W1 W2 W3 HMd -0.265730224 4.5726807012 -0.415979909 SatMd 2.9724598662 0.622029913 2.9283503335 BrMd 2.2342196216 -0.443900482 -2.979969041 The SAS System 17:42 Sunday, March 11, 2012 65 The CANCORR Procedure Canonical Correlation Analysis Standardized Canonical Coefficients for the VAR Variables V1 V2 V3 ValMn 0.1751 1.2212 -1.0826 ArMn 0.5582 0.6576 0.9763 DomMn -0.6752 -0.1835 1.7460 Standardized Canonical Coefficients for the WITH Variables W1 W2 W3 HMd -0.0580 0.9979 -0.0908 SatMd 0.7129 0.1492 0.7023 BrMd 0.6041 -0.1200 -0.8057 The SAS System 17:42 Sunday, March 11, 2012 66 The CANCORR Procedure Canonical Structure Correlations Between the VAR Variables and Their Canonical Variables V1 V2 V3 ValMn -0.6224 0.7661 -0.1602 ArMn 0.9067 0.1994 0.3716 DomMn -0.8929 0.3635 0.2657 Correlations Between the WITH Variables and Their Canonical Variables W1 W2 W3 HMd -0.0354 0.9843 -0.1732 SatMd 0.8032 0.1001 0.5873 BrMd 0.7041 -0.0236 -0.7097 Correlations Between the VAR Variables and the Canonical Variables of the WITH Variables W1 W2 W3 ValMn -0.1532 0.1078 -0.0126 ArMn 0.2232 0.0281 0.0291 DomMn -0.2198 0.0512 0.0208 Correlations Between the WITH Variables and the Canonical Variables of the VAR Variables V1 V2 V3 HMd -0.0087 0.1385 -0.0136 SatMd 0.1977 0.0141 0.0460 BrMd 0.1733 -0.0033 -0.0556