17:13 Sunday, March 26, 1995 Correlation Analysis 13 'VAR' Variables: TL WL HH HW TH TW G1L G2WA G2L HL G1WB G1WA G1H Simple Statistics Variable N Mean Std Dev Sum Minimum Maximum TL 100 5.56970 0.15330 556.97000 5.16000 5.94000 WL 100 9.38410 0.38222 938.41000 8.44000 10.19000 HH 100 2.51570 0.08067 251.57000 2.34000 2.69000 HW 100 2.75890 0.11933 275.89000 2.49000 3.02000 TH 100 2.44050 0.07615 244.05000 2.27000 2.63000 TW 100 2.26120 0.07135 226.12000 2.06000 2.45000 G1L 100 3.48550 0.14550 348.55000 3.05000 3.79000 G2WA 100 2.97890 0.22982 297.89000 2.29000 3.56000 G2L 100 3.14740 0.23220 314.74000 2.26000 3.55000 HL 100 0.40835 0.01602 40.83500 0.37900 0.44000 G1WB 100 0.13359 0.00529 13.35900 0.12000 0.14600 G1WA 100 0.39072 0.02422 39.07200 0.34900 0.43900 G1H 100 0.21640 0.01044 21.64000 0.19300 0.24200 17:13 Sunday, March 26, 1995 Correlation Analysis Pearson Correlation Coefficients / Prob > |R| under Ho: Rho=0 / N = 100 TL WL HH HW TH TW G1L TL 1.00000 0.67314 0.54691 0.59373 0.47593 0.35242 0.57598 0.0 0.0001 0.0001 0.0001 0.0001 0.0003 0.0001 WL 0.67314 1.00000 0.77717 0.73868 0.49870 0.24470 0.71658 0.0001 0.0 0.0001 0.0001 0.0001 0.0141 0.0001 HH 0.54691 0.77717 1.00000 0.85814 0.53476 0.18481 0.80383 0.0001 0.0001 0.0 0.0001 0.0001 0.0657 0.0001 HW 0.59373 0.73868 0.85814 1.00000 0.64322 0.31986 0.84175 0.0001 0.0001 0.0001 0.0 0.0001 0.0012 0.0001 TH 0.47593 0.49870 0.53476 0.64322 1.00000 0.47207 0.52532 0.0001 0.0001 0.0001 0.0001 0.0 0.0001 0.0001 TW 0.35242 0.24470 0.18481 0.31986 0.47207 1.00000 0.17828 0.0003 0.0141 0.0657 0.0012 0.0001 0.0 0.0760 G1L 0.57598 0.71658 0.80383 0.84175 0.52532 0.17828 1.00000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0760 0.0 G2WA -0.01171 -0.13304 -0.31125 -0.24678 0.02704 0.43864 -0.34285 0.9080 0.1870 0.0016 0.0133 0.7894 0.0001 0.0005 G2L 0.51822 0.69066 0.71282 0.77865 0.64256 0.31470 0.79172 0.0001 0.0001 0.0001 0.0001 0.0001 0.0014 0.0001 HL 0.51044 0.77153 0.77079 0.78282 0.38986 0.10322 0.69170 0.0001 0.0001 0.0001 0.0001 0.0001 0.3068 0.0001 G1WB 0.24805 0.07802 -0.06780 0.05540 0.16865 0.42197 0.10643 0.0128 0.4404 0.5027 0.5840 0.0935 0.0001 0.2919 G1WA -0.12404 -0.46148 -0.59330 -0.54109 -0.19196 0.34495 -0.54315 0.2189 0.0001 0.0001 0.0001 0.0557 0.0004 0.0001 G1H 0.13383 0.03690 -0.18830 -0.14365 0.05108 0.21768 -0.08393 0.1844 0.7155 0.0606 0.1539 0.6137 0.0296 0.4064 17:13 Sunday, March 26, 1995 Correlation Analysis Pearson Correlation Coefficients / Prob > |R| under Ho: Rho=0 / N = 100 G2WA G2L HL G1WB G1WA G1H TL -0.01171 0.51822 0.51044 0.24805 -0.12404 0.13383 0.9080 0.0001 0.0001 0.0128 0.2189 0.1844 WL -0.13304 0.69066 0.77153 0.07802 -0.46148 0.03690 0.1870 0.0001 0.0001 0.4404 0.0001 0.7155 HH -0.31125 0.71282 0.77079 -0.06780 -0.59330 -0.18830 0.0016 0.0001 0.0001 0.5027 0.0001 0.0606 HW -0.24678 0.77865 0.78282 0.05540 -0.54109 -0.14365 0.0133 0.0001 0.0001 0.5840 0.0001 0.1539 TH 0.02704 0.64256 0.38986 0.16865 -0.19196 0.05108 0.7894 0.0001 0.0001 0.0935 0.0557 0.6137 TW 0.43864 0.31470 0.10322 0.42197 0.34495 0.21768 0.0001 0.0014 0.3068 0.0001 0.0004 0.0296 G1L -0.34285 0.79172 0.69170 0.10643 -0.54315 -0.08393 0.0005 0.0001 0.0001 0.2919 0.0001 0.4064 G2WA 1.00000 -0.16931 -0.32401 0.26457 0.59436 0.27996 0.0 0.0922 0.0010 0.0078 0.0001 0.0048 G2L -0.16931 1.00000 0.58396 -0.01780 -0.49997 -0.07020 0.0922 0.0 0.0001 0.8604 0.0001 0.4877 HL -0.32401 0.58396 1.00000 -0.02891 -0.55829 -0.14452 0.0010 0.0001 0.0 0.7752 0.0001 0.1514 G1WB 0.26457 -0.01780 -0.02891 1.00000 0.36721 0.35780 0.0078 0.8604 0.7752 0.0 0.0002 0.0003 G1WA 0.59436 -0.49997 -0.55829 0.36721 1.00000 0.41618 0.0001 0.0001 0.0001 0.0002 0.0 0.0001 G1H 0.27996 -0.07020 -0.14452 0.35780 0.41618 1.00000 0.0048 0.4877 0.1514 0.0003 0.0001 0.0 17:13 Sunday, March 26, 1995 General Linear Models Procedure Class Level Information Class Levels Values CASTE 2 Q W Number of observations in data set = 100 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: TL Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.41088100 0.41088100 21.02 0.0001 Error 98 1.91561000 0.01954704 Corrected Total 99 2.32649100 R-Square C.V. Root MSE TL Mean 0.176610 2.510202 0.1398107 5.5697000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.41088100 0.41088100 21.02 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: WL Sum of Mean Source DF Squares Square F Value Pr > F Model 1 7.59002500 7.59002500 108.22 0.0001 Error 98 6.87339400 0.07013667 Corrected Total 99 14.46341900 R-Square C.V. Root MSE WL Mean 0.524774 2.822149 0.2648333 9.3841000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 7.59002500 7.59002500 108.22 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: HH Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.42902500 0.42902500 195.35 0.0001 Error 98 0.21522600 0.00219618 Corrected Total 99 0.64425100 R-Square C.V. Root MSE HH Mean 0.665928 1.862840 0.0468635 2.5157000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.42902500 0.42902500 195.35 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: HW Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.88172100 0.88172100 163.63 0.0001 Error 98 0.52805800 0.00538835 Corrected Total 99 1.40977900 R-Square C.V. Root MSE HW Mean 0.625432 2.660675 0.0734054 2.7589000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.88172100 0.88172100 163.63 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: TH Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.08584900 0.08584900 17.23 0.0001 Error 98 0.48822600 0.00498190 Corrected Total 99 0.57407500 R-Square C.V. Root MSE TH Mean 0.149543 2.892135 0.0705826 2.4405000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.08584900 0.08584900 17.23 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: TW Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.01299600 0.01299600 2.59 0.1105 Error 98 0.49106000 0.00501082 Corrected Total 99 0.50405600 R-Square C.V. Root MSE TW Mean 0.025783 3.130511 0.0707871 2.2612000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.01299600 0.01299600 2.59 0.1105 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: G1L Sum of Mean Source DF Squares Square F Value Pr > F Model 1 1.25664100 1.25664100 146.74 0.0001 Error 98 0.83923400 0.00856361 Corrected Total 99 2.09587500 R-Square C.V. Root MSE G1L Mean 0.599578 2.654993 0.0925398 3.4855000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 1.25664100 1.25664100 146.74 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: G2WA Sum of Mean Source DF Squares Square F Value Pr > F Model 1 1.39476100 1.39476100 35.65 0.0001 Error 98 3.83421800 0.03912467 Corrected Total 99 5.22897900 R-Square C.V. Root MSE G2WA Mean 0.266737 6.640021 0.1977996 2.9789000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 1.39476100 1.39476100 35.65 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: G2L Sum of Mean Source DF Squares Square F Value Pr > F Model 1 2.40870400 2.40870400 80.59 0.0001 Error 98 2.92922000 0.02989000 Corrected Total 99 5.33792400 R-Square C.V. Root MSE G2L Mean 0.451244 5.493018 0.1728872 3.1474000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 2.40870400 2.40870400 80.59 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: HL Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.01615441 0.01615441 171.33 0.0001 Error 98 0.00924034 0.00009429 Corrected Total 99 0.02539475 R-Square C.V. Root MSE HL Mean 0.636132 2.377926 0.0097103 0.4083500 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.01615441 0.01615441 171.33 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: G1WB Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.00011025 0.00011025 4.06 0.0468 Error 98 0.00266394 0.00002718 Corrected Total 99 0.00277419 R-Square C.V. Root MSE G1WB Mean 0.039741 3.902790 0.0052137 0.1335900 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.00011025 0.00011025 4.06 0.0468 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: G1WA Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.04000000 0.04000000 217.00 0.0001 Error 98 0.01806416 0.00018433 Corrected Total 99 0.05806416 R-Square C.V. Root MSE G1WA Mean 0.688893 3.474803 0.0135768 0.3907200 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.04000000 0.04000000 217.00 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: G1H Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.00097344 0.00097344 9.72 0.0024 Error 98 0.00981456 0.00010015 Corrected Total 99 0.01078800 R-Square C.V. Root MSE G1H Mean 0.090234 4.624504 0.0100074 0.2164000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.00097344 0.00097344 9.72 0.0024 E = Error SS&CP Matrix TL WL HH HW TH TW G1L TL 1.91561 2.138768 0.249716 0.473368 0.362202 0.45471 0.553304 WL 2.138768 6.873394 0.567838 0.748606 0.62978 0.974778 0.85699 HH 0.249716 0.567838 0.215226 0.202782 0.1333 0.179986 0.19981 HW 0.473368 0.748606 0.202782 0.528058 0.303528 0.376678 0.394286 TH 0.362202 0.62978 0.1333 0.303528 0.488226 0.287342 0.247772 TW 0.45471 0.974778 0.179986 0.376678 0.287342 0.49106 0.311034 G1L 0.553304 0.85699 0.19981 0.394286 0.247772 0.311034 0.839234 G2WA 0.716188 2.096706 0.202282 0.438938 0.392888 0.577498 0.188906 G2L 0.83139 1.792806 0.305322 0.678686 0.670094 0.69314 0.908338 HL 0.042599 0.117426 0.01534 0.028772 0.009832 0.026167 0.017098 G1WB 0.026658 0.044556 0.004011 0.013324 0.009807 0.014582 0.019886 G1WA 0.082612 0.128095 0.01625 0.032989 0.023554 0.036214 0.034724 G1H 0.041201 0.100532 0.004738 0.011581 0.013162 0.012495 0.022355 G2WA G2L HL G1WB G1WA G1H TL 0.716188 0.83139 0.042599 0.026658 0.082612 0.041201 WL 2.096706 1.792806 0.117426 0.044556 0.128095 0.100532 HH 0.202282 0.305322 0.01534 0.004011 0.01625 0.004738 HW 0.438938 0.678686 0.028772 0.013324 0.032989 0.011581 TH 0.392888 0.670094 0.009832 0.009807 0.023554 0.013162 TW 0.577498 0.69314 0.026167 0.014582 0.036214 0.012495 G1L 0.188906 0.908338 0.017098 0.019886 0.034724 0.022355 G2WA 3.834218 0.938426 0.032034 0.019464 0.091299 0.029647 G2L 0.938426 2.92922 0.017742 0.014129 0.032057 0.031576 HL 0.032034 0.017742 0.00924 0.001092 0.003982 0.001574 G1WB 0.019464 0.014129 0.001092 0.002664 0.002561 0.00163 G1WA 0.091299 0.032057 0.003982 0.002561 0.018064 0.004176 G1H 0.029647 0.031576 0.001574 0.00163 0.004176 0.009815 17:13 Sunday, March 26, 1995 General Linear Models Procedure Multivariate Analysis of Variance Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r| DF = 98 TL WL HH HW TH TW G1L TL 1.000000 0.589420 0.388907 0.470657 0.374530 0.468828 0.436384 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 WL 0.589420 1.000000 0.466865 0.392941 0.343790 0.530582 0.356820 0.0001 0.0001 0.0001 0.0001 0.0005 0.0001 0.0003 HH 0.388907 0.466865 1.000000 0.601508 0.411218 0.553636 0.470141 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 HW 0.470657 0.392941 0.601508 1.000000 0.597788 0.739711 0.592283 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 TH 0.374530 0.343790 0.411218 0.597788 1.000000 0.586842 0.387080 0.0001 0.0005 0.0001 0.0001 0.0001 0.0001 0.0001 TW 0.468828 0.530582 0.553636 0.739711 0.586842 1.000000 0.484506 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 G1L 0.436384 0.356820 0.470141 0.592283 0.387080 0.484506 1.000000 0.0001 0.0003 0.0001 0.0001 0.0001 0.0001 0.0001 G2WA 0.264262 0.408426 0.222675 0.308478 0.287157 0.420867 0.105309 0.0082 0.0001 0.0267 0.0019 0.0040 0.0001 0.2996 G2L 0.350974 0.399551 0.384534 0.545698 0.560337 0.577933 0.579335 0.0004 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 HL 0.320189 0.465945 0.343981 0.411888 0.146385 0.388463 0.194165 0.0012 0.0001 0.0005 0.0001 0.1482 0.0001 0.0541 G1WB 0.373177 0.329272 0.167519 0.355259 0.271934 0.403175 0.420575 0.0001 0.0009 0.0974 0.0003 0.0065 0.0001 0.0001 G1WA 0.444098 0.363527 0.260607 0.337771 0.250810 0.384499 0.282020 0.0001 0.0002 0.0092 0.0006 0.0123 0.0001 0.0047 G1H 0.300484 0.387064 0.103089 0.160865 0.190135 0.179987 0.246321 0.0025 0.0001 0.3099 0.1117 0.0594 0.0746 0.0140 DF = 98 G2WA G2L HL G1WB G1WA G1H TL 0.264262 0.350974 0.320189 0.373177 0.444098 0.300484 0.0082 0.0004 0.0012 0.0001 0.0001 0.0025 WL 0.408426 0.399551 0.465945 0.329272 0.363527 0.387064 0.0001 0.0001 0.0001 0.0009 0.0002 0.0001 HH 0.222675 0.384534 0.343981 0.167519 0.260607 0.103089 0.0267 0.0001 0.0005 0.0974 0.0092 0.3099 HW 0.308478 0.545698 0.411888 0.355259 0.337771 0.160865 0.0019 0.0001 0.0001 0.0003 0.0006 0.1117 17:13 Sunday, March 26, 1995 General Linear Models Procedure Multivariate Analysis of Variance Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r| DF = 98 G2WA G2L HL G1WB G1WA G1H TH 0.287157 0.560337 0.146385 0.271934 0.250810 0.190135 0.0040 0.0001 0.1482 0.0065 0.0123 0.0594 TW 0.420867 0.577933 0.388463 0.403175 0.384499 0.179987 0.0001 0.0001 0.0001 0.0001 0.0001 0.0746 G1L 0.105309 0.579335 0.194165 0.420575 0.282020 0.246321 0.2996 0.0001 0.0541 0.0001 0.0047 0.0140 G2WA 1.000000 0.280018 0.170186 0.192593 0.346912 0.152828 0.0001 0.0050 0.0922 0.0562 0.0004 0.1310 G2L 0.280018 1.000000 0.107839 0.159950 0.139361 0.186231 0.0050 0.0001 0.2880 0.1138 0.1689 0.0649 HL 0.170186 0.107839 1.000000 0.220078 0.308196 0.165232 0.0922 0.2880 0.0001 0.0286 0.0019 0.1022 G1WB 0.192593 0.159950 0.220078 1.000000 0.369111 0.318740 0.0562 0.1138 0.0286 0.0001 0.0002 0.0013 G1WA 0.346912 0.139361 0.308196 0.369111 1.000000 0.313644 0.0004 0.1689 0.0019 0.0002 0.0001 0.0016 G1H 0.152828 0.186231 0.165232 0.318740 0.313644 1.000000 0.1310 0.0649 0.1022 0.0013 0.0016 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Multivariate Analysis of Variance Characteristic Roots and Vectors of: E Inverse * H, where H = Type I SS&CP Matrix for CASTE E = Error SS&CP Matrix Characteristic Percent Characteristic Vector V'EV=1 Root TL WL HH HW TH TW G1L G2WA G2L HL G1WB G1WA G1H 12.8121182 100.00 -0.01038965 0.16930846 0.48919276 0.83520659 0.04694802 -1.25232776 0.22823979 -0.05629892 0.07953239 3.64663003 0.00472861 -4.50526864 -1.54309838 0.0000000 0.00 -0.12014806 -0.04271212 0.73263376 0.05890290 -0.18737510 -0.70607742 -0.56934724 -0.04576017 0.27401021 0.26867418 23.79717891 -0.04064557 -0.01392150 0.0000000 0.00 -0.00943671 -0.13038578 0.35473870 0.15236104 -0.12773743 0.12788003 -0.07518640 0.01025904 -0.03558963 0.54630679 -3.84355590 -2.21450428 11.51322164 0.0000000 0.00 -0.12551320 -0.05236317 -0.53749025 -0.96722428 -0.01332206 0.30535652 1.38442555 0.00103521 -0.00185957 -0.06409208 -0.04191004 0.08209090 0.00000000 0.0000000 0.00 0.11154259 -0.10147919 0.06200750 -0.26552576 -0.57968312 -0.12278610 -0.61956679 -0.01206745 0.82322606 -0.06568670 -0.04295277 0.08413333 0.00000000 0.0000000 0.00 0.04886212 -0.25671628 -0.26547914 -1.03139534 0.30705059 0.19021026 0.10114129 0.09044890 0.11392843 12.49507408 -0.05634160 0.11035858 0.00000000 0.0000000 0.00 -0.04535724 -0.06491138 0.39054967 0.21522851 -0.10457510 -0.94275481 0.29200643 0.56994115 -0.00327298 -0.00484170 0.06457220 -0.12648020 0.00000000 0.0000000 0.00 -0.13318468 0.00843218 0.18352078 -0.64750445 1.76593949 -0.06803105 0.00170092 0.00464893 -0.00490335 -0.00725351 0.09673771 -0.18948408 0.00000000 17:13 Sunday, March 26, 1995 General Linear Models Procedure Multivariate Analysis of Variance Characteristic Roots and Vectors of: E Inverse * H, where H = Type I SS&CP Matrix for CASTE E = Error SS&CP Matrix Characteristic Percent Characteristic Vector V'EV=1 Root TL WL HH HW TH TW G1L G2WA G2L HL G1WB G1WA G1H 0.0000000 0.00 -0.28114655 0.10693465 0.34347889 0.60308384 -0.03882491 -1.03364700 -0.06951377 -0.18999423 0.20039179 0.29643904 -3.95350979 7.74390023 0.00000000 0.0000000 0.00 -0.18332842 -0.06511713 -1.90405792 1.67440595 -0.04783431 0.12440857 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000 0.00 -0.19770408 0.04152791 0.83988044 -0.20542485 -0.58509318 1.52172381 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000 0.00 0.01430504 -0.41492787 1.73123166 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000 0.00 0.87961552 -0.20465828 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 Manova Test Criteria and Exact F Statistics for the Hypothesis of no Overall CASTE Effect H = Type I SS&CP Matrix for CASTE E = Error SS&CP Matrix S=1 M=5.5 N=42 Statistic Value F Num DF Den DF Pr > F Wilks' Lambda 0.07240019 84.7571 13 86 0.0001 Pillai's Trace 0.92759981 84.7571 13 86 0.0001 Hotelling-Lawley Trace 12.81211825 84.7571 13 86 0.0001 Roy's Greatest Root 12.81211825 84.7571 13 86 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Class Level Information Class Levels Values CASTE 2 Q W Number of observations in data set = 100 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: G1WA Sum of Mean Source DF Squares Square F Value Pr > F Model 1 0.04000000 0.04000000 217.00 0.0001 Error 98 0.01806416 0.00018433 Corrected Total 99 0.05806416 R-Square C.V. Root MSE G1WA Mean 0.688893 3.474803 0.0135768 0.3907200 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.04000000 0.04000000 217.00 0.0001 17:13 Sunday, March 26, 1995 General Linear Models Procedure Class Level Information Class Levels Values CASTE 2 Q W Number of observations in data set = 100 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: HW Sum of Mean Source DF Squares Square F Value Pr > F Model 2 0.94196666 0.47098333 97.66 0.0001 Error 97 0.46781234 0.00482281 Corrected Total 99 1.40977900 R-Square C.V. Root MSE HW Mean 0.668166 2.517178 0.0694464 2.7589000 Source DF Type I SS Mean Square F Value Pr > F G1WA 1 0.41275692 0.41275692 85.58 0.0001 CASTE 1 0.52920974 0.52920974 109.73 0.0001 17:13 Sunday, March 26, 1995 Plot of HW*G1WA. Symbol is value of WASP. HW | | 3.1 + | | | | | | W 3.0 + | W | W | W W W WW | W W | W | W W W 2.9 + | W WW WW | W W | W W W | W W W W W W | W W | W W W W 2.8 + W | WWW W | W | W W Q Q | Q Q Q Q Q | W Q Q | Q Q Q Q QQQQ 2.7 + W Q Q Q | Q Q Q | W W Q Q | Q Q QQ Q | QQ Q Q | Q | Q Q 2.6 + Q | Q | Q | Q Q Q | | Q | Q 2.5 + | Q | | | | | 2.4 + | ---+---------+---------+---------+---------+---------+-- 0.349 0.369 0.389 0.409 0.429 0.449 G1WA NOTE: 6 obs hidden. 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis 100 Observations 13 Variable(s) in the Analysis 2 Class Levels 0 Variable(s) will be included The Method for Selecting Variables will be: STEPWISE Significance Level to Enter = 0.1500 Significance Level to Stay = 0.1500 Class Level Information CASTE Frequency Weight Proportion Q 50 50.0000 0.500000 W 50 50.0000 0.500000 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 1 Statistics for Entry, DF = 1, 98 Variable R**2 F Prob > F Tolerance TL 0.1766 21.020 0.0001 1.0000 WL 0.5248 108.218 0.0001 1.0000 HH 0.6659 195.350 0.0001 1.0000 HW 0.6254 163.635 0.0001 1.0000 TH 0.1495 17.232 0.0001 1.0000 TW 0.0258 2.594 0.1105 1.0000 G1L 0.5996 146.742 0.0001 1.0000 G2WA 0.2667 35.649 0.0001 1.0000 G2L 0.4512 80.586 0.0001 1.0000 HL 0.6361 171.328 0.0001 1.0000 G1WB 0.0397 4.056 0.0468 1.0000 G1WA 0.6889 217.004 0.0001 1.0000 G1H 0.0902 9.720 0.0024 1.0000 Variable G1WA will be entered The following variable(s) have been entered: G1WA Multivariate Statistics Wilks' Lambda = 0.31110689 F( 1, 98) = 217.004 Prob > F = 0.0001 Pillai's Trace = 0.688893 F( 1, 98) = 217.004 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.68889311 -------------------------------------------------------------------------------- Stepwise Selection: Step 2 Statistics for Removal, DF = 1, 98 Variable R**2 F Prob > F G1WA 0.6889 217.004 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 2 Statistics for Entry, DF = 1, 97 Partial Variable R**2 F Prob > F Tolerance TL 0.3287 47.490 0.0001 0.9846 WL 0.4760 88.107 0.0001 0.7870 HH 0.5195 104.860 0.0001 0.6480 HW 0.5308 109.731 0.0001 0.7072 TH 0.1726 20.228 0.0001 0.9632 TW 0.0577 5.938 0.0166 0.8810 G1L 0.4772 88.537 0.0001 0.7050 G2WA 0.0027 0.259 0.6119 0.6467 G2L 0.2826 38.205 0.0001 0.7500 HL 0.5216 105.747 0.0001 0.6883 G1WB 0.0413 4.178 0.0437 0.8652 G1H 0.0079 0.771 0.3820 0.8268 Variable HW will be entered The following variable(s) have been entered: HW G1WA Multivariate Statistics Wilks' Lambda = 0.14597434 F( 2, 97) = 283.750 Prob > F = 0.0001 Pillai's Trace = 0.854026 F( 2, 97) = 283.750 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.85402566 -------------------------------------------------------------------------------- Stepwise Selection: Step 3 Statistics for Removal, DF = 1, 97 Partial Variable R**2 F Prob > F HW 0.5308 109.731 0.0001 G1WA 0.6103 151.901 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 3 Statistics for Entry, DF = 1, 96 Partial Variable R**2 F Prob > F Tolerance TL 0.0456 4.592 0.0347 0.4256 WL 0.1686 19.463 0.0001 0.4034 HH 0.1171 12.737 0.0006 0.2401 TH 0.0137 1.335 0.2508 0.4052 TW 0.1872 22.115 0.0001 0.4083 G1L 0.0844 8.845 0.0037 0.2806 G2WA 0.0377 3.763 0.0553 0.4811 G2L 0.0023 0.217 0.6427 0.3630 HL 0.1968 23.516 0.0001 0.3615 G1WB 0.0027 0.257 0.6136 0.5490 G1H 0.0003 0.026 0.8732 0.5903 Variable HL will be entered The following variable(s) have been entered: HW HL G1WA Multivariate Statistics Wilks' Lambda = 0.11725228 F( 3, 96) = 240.916 Prob > F = 0.0001 Pillai's Trace = 0.882748 F( 3, 96) = 240.916 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.88274772 -------------------------------------------------------------------------------- Stepwise Selection: Step 4 Statistics for Removal, DF = 1, 96 Partial Variable R**2 F Prob > F HW 0.2122 25.864 0.0001 HL 0.1968 23.516 0.0001 G1WA 0.5988 143.308 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 4 Statistics for Entry, DF = 1, 95 Partial Variable R**2 F Prob > F Tolerance TL 0.0231 2.243 0.1376 0.3035 WL 0.0694 7.080 0.0092 0.2881 HH 0.0704 7.199 0.0086 0.2247 TH 0.0015 0.140 0.7092 0.2334 TW 0.1849 21.557 0.0001 0.2522 G1L 0.0897 9.362 0.0029 0.2140 G2WA 0.0299 2.933 0.0900 0.3586 G2L 0.0115 1.108 0.2951 0.2298 G1WB 0.0037 0.352 0.5543 0.3505 G1H 0.0001 0.012 0.9125 0.3602 Variable TW will be entered The following variable(s) have been entered: HW TW HL G1WA Multivariate Statistics Wilks' Lambda = 0.09556665 F( 4, 95) = 224.768 Prob > F = 0.0001 Pillai's Trace = 0.904433 F( 4, 95) = 224.768 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.90443335 -------------------------------------------------------------------------------- Stepwise Selection: Step 5 Statistics for Removal, DF = 1, 95 Partial Variable R**2 F Prob > F HW 0.3561 52.538 0.0001 TW 0.1849 21.557 0.0001 HL 0.1945 22.940 0.0001 G1WA 0.3643 54.432 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 5 Statistics for Entry, DF = 1, 94 Partial Variable R**2 F Prob > F Tolerance TL 0.0377 3.683 0.0580 0.2232 WL 0.1483 16.362 0.0001 0.2430 HH 0.0993 10.358 0.0018 0.1802 TH 0.0080 0.755 0.3870 0.2019 G1L 0.0909 9.396 0.0028 0.1622 G2WA 0.0023 0.219 0.6407 0.2513 G2L 0.0652 6.560 0.0120 0.1994 G1WB 0.0004 0.034 0.8534 0.2496 G1H 0.0000 0.000 0.9824 0.2521 Variable WL will be entered The following variable(s) have been entered: WL HW TW HL G1WA Multivariate Statistics Wilks' Lambda = 0.08139837 F( 5, 94) = 212.163 Prob > F = 0.0001 Pillai's Trace = 0.918602 F( 5, 94) = 212.163 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.91860163 -------------------------------------------------------------------------------- Stepwise Selection: Step 6 Statistics for Removal, DF = 1, 94 Partial Variable R**2 F Prob > F WL 0.1483 16.362 0.0001 HW 0.3362 47.610 0.0001 TW 0.2540 32.013 0.0001 HL 0.0702 7.093 0.0091 G1WA 0.3728 55.882 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 6 Statistics for Entry, DF = 1, 93 Partial Variable R**2 F Prob > F Tolerance TL 0.0004 0.036 0.8490 0.2230 HH 0.0463 4.515 0.0362 0.1801 TH 0.0015 0.139 0.7097 0.1994 G1L 0.0499 4.887 0.0295 0.1621 G2WA 0.0179 1.696 0.1960 0.2408 G2L 0.0231 2.203 0.1411 0.1992 G1WB 0.0005 0.048 0.8275 0.2415 G1H 0.0152 1.436 0.2339 0.2425 Variable G1L will be entered The following variable(s) have been entered: WL HW TW G1L HL G1WA Multivariate Statistics Wilks' Lambda = 0.07733441 F( 6, 93) = 184.928 Prob > F = 0.0001 Pillai's Trace = 0.922666 F( 6, 93) = 184.928 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.92266559 -------------------------------------------------------------------------------- Stepwise Selection: Step 7 Statistics for Removal, DF = 1, 93 Partial Variable R**2 F Prob > F WL 0.1099 11.482 0.0010 HW 0.1773 20.036 0.0001 TW 0.2440 30.010 0.0001 G1L 0.0499 4.887 0.0295 HL 0.0832 8.443 0.0046 G1WA 0.3738 55.523 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 7 Statistics for Entry, DF = 1, 92 Partial Variable R**2 F Prob > F Tolerance TL 0.0002 0.015 0.9021 0.1579 HH 0.0333 3.173 0.0782 0.1412 TH 0.0016 0.146 0.7035 0.1415 G2WA 0.0075 0.692 0.4075 0.1616 G2L 0.0057 0.531 0.4682 0.1571 G1WB 0.0062 0.573 0.4511 0.1613 G1H 0.0222 2.088 0.1519 0.1608 Variable HH will be entered The following variable(s) have been entered: WL HH HW TW G1L HL G1WA Multivariate Statistics Wilks' Lambda = 0.07475617 F( 7, 92) = 162.667 Prob > F = 0.0001 Pillai's Trace = 0.925244 F( 7, 92) = 162.667 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.92524383 -------------------------------------------------------------------------------- Stepwise Selection: Step 8 Statistics for Removal, DF = 1, 92 Partial Variable R**2 F Prob > F WL 0.0776 7.739 0.0066 HH 0.0333 3.173 0.0782 HW 0.1226 12.850 0.0005 TW 0.2506 30.757 0.0001 G1L 0.0370 3.536 0.0632 HL 0.0758 7.545 0.0072 G1WA 0.3536 50.336 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 8 Statistics for Entry, DF = 1, 91 Partial Variable R**2 F Prob > F Tolerance TL 0.0001 0.007 0.9358 0.1376 TH 0.0012 0.112 0.7392 0.1261 G2WA 0.0058 0.531 0.4679 0.1403 G2L 0.0074 0.683 0.4108 0.1365 G1WB 0.0018 0.161 0.6889 0.1412 G1H 0.0155 1.432 0.2346 0.1410 No variables can be entered No further steps are possible -------------------------------------------------------------------------------- Stepwise Selection: Summary Variable Number Partial F Prob > Step Entered Removed In R**2 Statistic F -------------------------------------------------------------------- 1 G1WA 1 0.6889 217.004 0.0001 2 HW 2 0.5308 109.731 0.0001 3 HL 3 0.1968 23.516 0.0001 4 TW 4 0.1849 21.557 0.0001 5 WL 5 0.1483 16.362 0.0001 6 G1L 6 0.0499 4.887 0.0295 7 HH 7 0.0333 3.173 0.0782 Average Squared Variable Number Wilks' Prob < Canonical Prob > Step Entered Removed In Lambda Lambda Correlation ASCC --------------------------------------------------------------------------- 1 G1WA 1 0.31110689 0.0001 0.68889311 0.0001 2 HW 2 0.14597434 0.0001 0.85402566 0.0001 3 HL 3 0.11725228 0.0001 0.88274772 0.0001 4 TW 4 0.09556665 0.0001 0.90443335 0.0001 5 WL 5 0.08139837 0.0001 0.91860163 0.0001 6 G1L 6 0.07733441 0.0001 0.92266559 0.0001 7 HH 7 0.07475617 0.0001 0.92524383 0.0001 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis 100 Observations 99 DF Total 13 Variables 98 DF Within Classes 2 Classes 1 DF Between Classes Class Level Information CASTE Frequency Weight Proportion Q 50 50.0000 0.500000 W 50 50.0000 0.500000 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Pairwise Squared Distances Between Groups 2 _ _ -1 _ _ D (i|j) = (X - X )' COV (X - X ) i j i j Squared Distance to WASP From CASTE Q W Q 0 50.22350 W 50.22350 0 F Statistics, NDF=13, DDF=86 for Squared Distance to WASP From CASTE Q W Q 0 84.75709 W 84.75709 0 Prob > Mahalanobis Distance for Squared Distance to WASP From CASTE Q W Q 1.0000 0.0001 W 0.0001 1.0000 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Univariate Test Statistics F Statistics, Num DF= 1 Den DF= 98 Total Pooled Between RSQ/ Variable STD STD STD R-Squared (1-RSQ) TL 0.1533 0.1398 0.0907 0.176610 0.2145 WL 0.3822 0.2648 0.3896 0.524774 1.1043 HH 0.0807 0.0469 0.0926 0.665928 1.9934 HW 0.1193 0.0734 0.1328 0.625432 1.6697 TH 0.0761 0.0706 0.0414 0.149543 0.1758 TW 0.0714 0.0708 0.0161 0.025783 0.0265 G1L 0.1455 0.0925 0.1585 0.599578 1.4974 G2WA 0.2298 0.1978 0.1670 0.266737 0.3638 G2L 0.2322 0.1729 0.2195 0.451244 0.8223 HL 0.0160 0.009710 0.0180 0.636132 1.7482 G1WB 0.005294 0.005214 0.001485 0.039741 0.0414 G1WA 0.0242 0.0136 0.0283 0.688893 2.2143 G1H 0.0104 0.0100 0.004412 0.090234 0.0992 Univariate Test Statistics Variable F Pr > F TL 21.0201 0.0001 WL 108.2176 0.0001 HH 195.3502 0.0001 HW 163.6348 0.0001 TH 17.2322 0.0001 TW 2.5936 0.1105 G1L 146.7419 0.0001 G2WA 35.6491 0.0001 G2L 80.5856 0.0001 HL 171.3283 0.0001 G1WB 4.0558 0.0468 G1WA 217.0043 0.0001 G1H 9.7200 0.0024 Average R-Squared: Unweighted = 0.3800484 Weighted by Variance = 0.4445229 Multivariate Statistics and Exact F Statistics S=1 M=5.5 N=42 Statistic Value F Num DF Den DF Pr > F Wilks' Lambda 0.07240019 84.7571 13 86 0.0001 Pillai's Trace 0.92759981 84.7571 13 86 0.0001 Hotelling-Lawley Trace 12.81211825 84.7571 13 86 0.0001 Roy's Greatest Root 12.81211825 84.7571 13 86 0.0001 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Adjusted Approx Squared Canonical Canonical Standard Canonical Correlation Correlation Error Correlation 1 0.963120 0.958916 0.007276 0.927600 Eigenvalues of INV(E)*H = CanRsq/(1-CanRsq) Eigenvalue Difference Proportion Cumulative 1 12.8121 . 1.0000 1.0000 Test of H0: The canonical correlations in the current row and all that follow are zero Likelihood Ratio Approx F Num DF Den DF Pr > F 1 0.07240019 84.7571 13 86 0.0001 NOTE: The F statistic is exact. Total Canonical Structure CAN1 TL 0.436342 WL 0.752152 HH 0.847293 HW 0.821126 TH 0.401516 TW -0.166719 G1L 0.803975 G2WA -0.536242 G2L 0.697469 HL 0.828120 G1WB -0.206986 G1WA -0.861778 G1H -0.311892 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Between Canonical Structure CAN1 TL 1.000000 WL 1.000000 HH 1.000000 HW 1.000000 TH 1.000000 TW -1.000000 G1L 1.000000 G2WA -1.000000 G2L 1.000000 HL 1.000000 G1WB -1.000000 G1WA -1.000000 G1H -1.000000 Pooled Within Canonical Structure CAN1 TL 0.129388 WL 0.293579 HH 0.394442 HW 0.361006 TH 0.117151 TW -0.045449 G1L 0.341864 G2WA -0.168500 G2L 0.253341 HL 0.369395 G1WB -0.056835 G1WA -0.415729 G1H -0.087985 Total-Sample Standardized Canonical Coefficients CAN1 TL -0.015766928 WL 0.640633410 HH 0.390663654 HW 0.986653976 TH 0.035391341 TW -0.884612036 G1L 0.328752820 G2WA -0.128086681 G2L 0.182820824 HL 0.578174742 G1WB 0.000247798 G1WA -1.080115521 G1H -0.159462852 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Pooled Within-Class Standardized Canonical Coefficients CAN1 TL -.0143798548 WL 0.4438786734 HH 0.2269485353 HW 0.6069245775 TH 0.0328040683 TW -.8775771135 G1L 0.2090898219 G2WA -.1102398172 G2L 0.1361193990 HL 0.3505384639 G1WB 0.0002440597 G1WA -.6055215141 G1H -.1528723824 Raw Canonical Coefficients CAN1 TL -0.10285230 WL 1.67606824 HH 4.84276121 HW 8.26812339 TH 0.46476166 TW -12.39741236 G1L 2.25945864 G2WA -0.55733090 G2L 0.78733048 HL 36.09979547 G1WB 0.04681089 G1WA -44.59988413 G1H -15.27589465 Class Means on Canonical Variables CASTE CAN1 Q -3.543427138 W 3.543427138 17:13 Sunday, March 26, 1995 Plot of G1WA*CAN1. Symbol is value of WASP. G1WA | | 0.439 + Q | | Q | Q Q Q | Q QQ Q 0.429 + QQ | | Q Q | | Q 0.419 + Q QQ | | Q | Q | Q Q 0.409 + Q QQ Q Q QQ | Q | Q | Q Q Q Q Q | Q QQQ Q Q 0.399 + Q Q | | | W | Q Q Q Q W W 0.389 + Q Q Q W W W | W | | WW W W | W W W W 0.379 + W W W W | W W | | W W | W W W 0.369 + WW W | W | W | W W W | W W 0.359 + W W W | | W | WW W | W W W W 0.349 + W | -+-----------+-----------+-----------+-----------+-----------+-----------+ -6 -4 -2 0 2 4 6 CAN1 NOTE: 2 obs hidden. 17:13 Sunday, March 26, 1995 Plot of HW*CAN1. Symbol is value of WASP. HW | | 3.1 + | | | | | | W 3.0 + | W | W | W W WW W | W W | W | WW W 2.9 + | W W WW | W W | W W | W W W W W W | W W | WW W 2.8 + W | W W W W | W | Q Q W W | Q Q Q Q | Q Q W | Q Q QQ Q Q Q 2.7 + QQ Q W | Q Q Q | Q Q WW | Q Q QQ QQ | QQ Q | Q | Q Q 2.6 + Q | Q | Q | Q Q Q | | Q | Q 2.5 + | Q | | | | | 2.4 + | --+-----------+-----------+-----------+-----------+-----------+-----------+- -6 -4 -2 0 2 4 6 CAN1 NOTE: 11 obs hidden. 17:13 Sunday, March 26, 1995 General Linear Models Procedure Class Level Information Class Levels Values CASTE 2 Q W Number of observations in data set = 100 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: HW Sum of Mean Source DF Squares Square F Value Pr > F Model 3 0.99939051 0.33313017 77.93 0.0001 Error 96 0.41038849 0.00427488 Corrected Total 99 1.40977900 R-Square C.V. Root MSE HW Mean 0.708899 2.369878 0.0653826 2.7589000 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.88172100 0.88172100 206.26 0.0001 TL 1 0.11697437 0.11697437 27.36 0.0001 TL*CASTE 1 0.00069514 0.00069514 0.16 0.6877 Source DF Type III SS Mean Square F Value Pr > F CASTE 1 0.00209267 0.00209267 0.49 0.4858 TL 1 0.11735278 0.11735278 27.45 0.0001 TL*CASTE 1 0.00069514 0.00069514 0.16 0.6877 17:13 Sunday, March 26, 1995 General Linear Models Procedure Dependent Variable: G1WA Sum of Mean Source DF Squares Square F Value Pr > F Model 3 0.04379507 0.01459836 98.22 0.0001 Error 96 0.01426909 0.00014864 Corrected Total 99 0.05806416 R-Square C.V. Root MSE G1WA Mean 0.754253 3.120304 0.0121917 0.3907200 Source DF Type I SS Mean Square F Value Pr > F CASTE 1 0.04000000 0.04000000 269.11 0.0001 TL 1 0.00356266 0.00356266 23.97 0.0001 TL*CASTE 1 0.00023240 0.00023240 1.56 0.2142 Source DF Type III SS Mean Square F Value Pr > F CASTE 1 0.00009186 0.00009186 0.62 0.4337 TL 1 0.00360611 0.00360611 24.26 0.0001 TL*CASTE 1 0.00023240 0.00023240 1.56 0.2142 17:13 Sunday, March 26, 1995 Plot of HW*TL. Symbol is value of WASP. HW | | 3.1 + | | | | | | W 3.0 + | W | W | W W W W W | W W | W | W W W 2.9 + | W W W W W | W W | W W W | W W W WWW | W W | W W W W W 2.8 + W | W WW W | W | Q Q | QQQ Q | W Q | Q Q Q QQ Q Q 2.7 + QQ Q | Q Q Q Q | Q WQ W | Q Q Q Q Q | QQ Q Q | Q | Q Q 2.6 + Q | Q | Q | Q Q Q | | Q | Q 2.5 + | Q | | | | | 2.4 + | ---+-------------+-------------+-------------+-------------+-------------+-- 5.0 5.2 5.4 5.6 5.8 6.0 TL NOTE: 10 obs hidden. 17:13 Sunday, March 26, 1995 Plot of G1WA*TL. Symbol is value of WASP. G1WA | | 0.439 + Q | | Q | Q Q Q | QQ QQ 0.429 + Q Q | | QQ | | Q 0.419 + Q Q Q | | Q | Q | Q Q 0.409 + QQ Q Q | Q | Q | Q Q Q Q Q | Q Q Q Q Q 0.399 + Q Q | | | W | Q Q Q Q W W 0.389 + Q Q Q W W W | W | | WW W W | W W WW 0.379 + W W W W W W | W W | | W W | W W 0.369 + WW W | W | W | W W | W W 0.359 + W W W | | W | W W W | W W W 0.349 + W | --+-------------+-------------+-------------+-------------+-------------+- 5.0 5.2 5.4 5.6 5.8 6.0 TL NOTE: 7 obs hidden. 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis 100 Observations 12 Variable(s) in the Analysis 2 Class Levels 0 Variable(s) will be included The Method for Selecting Variables will be: STEPWISE Significance Level to Enter = 0.1500 Significance Level to Stay = 0.1500 Class Level Information CASTE Frequency Weight Proportion Q 50 50.0000 0.500000 W 50 50.0000 0.500000 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 1 Statistics for Entry, DF = 1, 98 Variable R**2 F Prob > F Tolerance RWL 0.3565 54.284 0.0001 1.0000 RHH 0.4903 94.265 0.0001 1.0000 RHW 0.4526 81.020 0.0001 1.0000 RTH 0.0451 4.625 0.0340 1.0000 RTW 0.1088 11.963 0.0008 1.0000 RG1L 0.4240 72.127 0.0001 1.0000 RG2WA 0.2617 34.740 0.0001 1.0000 RG2L 0.2817 38.442 0.0001 1.0000 RHL 0.4598 83.399 0.0001 1.0000 RG1WB 0.0982 10.673 0.0015 1.0000 RG1WA 0.6145 156.239 0.0001 1.0000 RG1H 0.1295 14.580 0.0002 1.0000 Variable RG1WA will be entered The following variable(s) have been entered: RG1WA Multivariate Statistics Wilks' Lambda = 0.38546430 F( 1, 98) = 156.239 Prob > F = 0.0001 Pillai's Trace = 0.614536 F( 1, 98) = 156.239 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.61453570 -------------------------------------------------------------------------------- Stepwise Selection: Step 2 Statistics for Removal, DF = 1, 98 Variable R**2 F Prob > F RG1WA 0.6145 156.239 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 2 Statistics for Entry, DF = 1, 97 Partial Variable R**2 F Prob > F Tolerance RWL 0.1319 14.734 0.0002 0.7347 RHH 0.1806 21.377 0.0001 0.5999 RHW 0.1804 21.353 0.0001 0.6573 RTH 0.0229 2.275 0.1348 0.9768 RTW 0.0000 0.001 0.9759 0.8248 RG1L 0.1494 17.042 0.0001 0.6618 RG2WA 0.0075 0.734 0.3937 0.6429 RG2L 0.0580 5.975 0.0163 0.7364 RHL 0.1950 23.492 0.0001 0.6635 RG1WB 0.0004 0.038 0.8461 0.8286 RG1H 0.0007 0.069 0.7935 0.8063 Variable RHL will be entered The following variable(s) have been entered: RHL RG1WA Multivariate Statistics Wilks' Lambda = 0.31031048 F( 2, 97) = 107.795 Prob > F = 0.0001 Pillai's Trace = 0.689690 F( 2, 97) = 107.795 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.68968952 -------------------------------------------------------------------------------- Stepwise Selection: Step 3 Statistics for Removal, DF = 1, 97 Partial Variable R**2 F Prob > F RHL 0.1950 23.492 0.0001 RG1WA 0.4256 71.875 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 3 Statistics for Entry, DF = 1, 96 Partial Variable R**2 F Prob > F Tolerance RWL 0.0279 2.755 0.1002 0.4730 RHH 0.0689 7.101 0.0090 0.4494 RHW 0.0617 6.315 0.0136 0.4687 RTH 0.0110 1.067 0.3041 0.6520 RTW 0.0107 1.042 0.3098 0.5303 RG1L 0.0774 8.058 0.0055 0.5691 RG2WA 0.0063 0.605 0.4387 0.4936 RG2L 0.0309 3.059 0.0835 0.5793 RG1WB 0.0002 0.018 0.8950 0.5667 RG1H 0.0011 0.107 0.7438 0.5705 Variable RG1L will be entered The following variable(s) have been entered: RG1L RHL RG1WA Multivariate Statistics Wilks' Lambda = 0.28628211 F( 3, 96) = 79.778 Prob > F = 0.0001 Pillai's Trace = 0.713718 F( 3, 96) = 79.778 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.71371789 -------------------------------------------------------------------------------- Stepwise Selection: Step 4 Statistics for Removal, DF = 1, 96 Partial Variable R**2 F Prob > F RG1L 0.0774 8.058 0.0055 RHL 0.1268 13.943 0.0003 RG1WA 0.3419 49.868 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 4 Statistics for Entry, DF = 1, 95 Partial Variable R**2 F Prob > F Tolerance RWL 0.0134 1.292 0.2586 0.4544 RHH 0.0245 2.390 0.1255 0.3526 RHW 0.0130 1.252 0.2661 0.3169 RTH 0.0005 0.052 0.8202 0.5308 RTW 0.0329 3.231 0.0754 0.4299 RG2WA 0.0032 0.302 0.5842 0.4512 RG2L 0.0006 0.059 0.8080 0.4003 RG1WB 0.0082 0.788 0.3768 0.4571 RG1H 0.0034 0.325 0.5702 0.4887 Variable RTW will be entered The following variable(s) have been entered: RTW RG1L RHL RG1WA Multivariate Statistics Wilks' Lambda = 0.27686641 F( 4, 95) = 62.031 Prob > F = 0.0001 Pillai's Trace = 0.723134 F( 4, 95) = 62.031 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.72313359 -------------------------------------------------------------------------------- Stepwise Selection: Step 5 Statistics for Removal, DF = 1, 95 Partial Variable R**2 F Prob > F RTW 0.0329 3.231 0.0754 RG1L 0.0981 10.332 0.0018 RHL 0.1414 15.642 0.0001 RG1WA 0.2295 28.293 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 5 Statistics for Entry, DF = 1, 94 Partial Variable R**2 F Prob > F Tolerance RWL 0.0237 2.281 0.1343 0.4137 RHH 0.0431 4.238 0.0423 0.3336 RHW 0.0536 5.323 0.0232 0.2452 RTH 0.0131 1.247 0.2671 0.4180 RG2WA 0.0001 0.007 0.9351 0.3969 RG2L 0.0126 1.198 0.2764 0.3732 RG1WB 0.0036 0.344 0.5592 0.3835 RG1H 0.0040 0.379 0.5397 0.3797 Variable RHW will be entered The following variable(s) have been entered: RHW RTW RG1L RHL RG1WA Multivariate Statistics Wilks' Lambda = 0.26202943 F( 5, 94) = 52.948 Prob > F = 0.0001 Pillai's Trace = 0.737971 F( 5, 94) = 52.948 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.73797057 -------------------------------------------------------------------------------- Stepwise Selection: Step 6 Statistics for Removal, DF = 1, 94 Partial Variable R**2 F Prob > F RHW 0.0536 5.323 0.0232 RTW 0.0727 7.365 0.0079 RG1L 0.0244 2.347 0.1288 RHL 0.0682 6.879 0.0102 RG1WA 0.1632 18.337 0.0001 No variables can be removed 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 6 Statistics for Entry, DF = 1, 93 Partial Variable R**2 F Prob > F Tolerance RWL 0.0309 2.966 0.0884 0.2439 RHH 0.0203 1.930 0.1681 0.2182 RTH 0.0015 0.143 0.7062 0.2170 RG2WA 0.0000 0.001 0.9814 0.2447 RG2L 0.0062 0.578 0.4490 0.2390 RG1WB 0.0018 0.166 0.6844 0.2435 RG1H 0.0016 0.145 0.7038 0.2423 Variable RWL will be entered The following variable(s) have been entered: RWL RHW RTW RG1L RHL RG1WA Multivariate Statistics Wilks' Lambda = 0.25393138 F( 6, 93) = 45.540 Prob > F = 0.0001 Pillai's Trace = 0.746069 F( 6, 93) = 45.540 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.74606862 -------------------------------------------------------------------------------- Stepwise Selection: Step 7 Statistics for Removal, DF = 1, 93 Partial Variable R**2 F Prob > F RWL 0.0309 2.966 0.0884 RHW 0.0606 5.998 0.0162 RTW 0.0895 9.144 0.0032 RG1L 0.0157 1.481 0.2266 RHL 0.0268 2.557 0.1132 RG1WA 0.1392 15.045 0.0002 Variable RG1L will be removed The following variable(s) have been entered: RWL RHW RTW RHL RG1WA Multivariate Statistics Wilks' Lambda = 0.25797623 F( 5, 94) = 54.075 Prob > F = 0.0001 Pillai's Trace = 0.742024 F( 5, 94) = 54.075 Prob > F = 0.0001 Average Squared Canonical Correlation = 0.74202377 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Step 8 Statistics for Removal, DF = 1, 94 Partial Variable R**2 F Prob > F RWL 0.0395 3.861 0.0524 RHW 0.1261 13.558 0.0004 RTW 0.0967 10.064 0.0020 RHL 0.0234 2.249 0.1370 RG1WA 0.1474 16.251 0.0001 No variables can be removed --------------------------- Statistics for Entry, DF = 1, 93 Partial Variable R**2 F Prob > F Tolerance RHH 0.0146 1.378 0.2434 0.2610 RTH 0.0004 0.041 0.8390 0.2902 RG1L 0.0157 1.481 0.2266 0.2439 RG2WA 0.0055 0.519 0.4731 0.3233 RG2L 0.0072 0.678 0.4123 0.2889 RG1WB 0.0002 0.018 0.8922 0.3422 RG1H 0.0049 0.455 0.5015 0.3270 No variables can be entered No further steps are possible -------------------------------------------------------------------------------- Stepwise Selection: Summary Variable Number Partial F Prob > Step Entered Removed In R**2 Statistic F -------------------------------------------------------------------- 1 RG1WA 1 0.6145 156.239 0.0001 2 RHL 2 0.1950 23.492 0.0001 3 RG1L 3 0.0774 8.058 0.0055 4 RTW 4 0.0329 3.231 0.0754 5 RHW 5 0.0536 5.323 0.0232 6 RWL 6 0.0309 2.966 0.0884 7 RG1L 5 0.0157 1.481 0.2266 17:13 Sunday, March 26, 1995 Stepwise Discriminant Analysis Stepwise Selection: Summary Average Squared Variable Number Wilks' Prob < Canonical Prob > Step Entered Removed In Lambda Lambda Correlation ASCC --------------------------------------------------------------------------- 1 RG1WA 1 0.38546430 0.0001 0.61453570 0.0001 2 RHL 2 0.31031048 0.0001 0.68968952 0.0001 3 RG1L 3 0.28628211 0.0001 0.71371789 0.0001 4 RTW 4 0.27686641 0.0001 0.72313359 0.0001 5 RHW 5 0.26202943 0.0001 0.73797057 0.0001 6 RWL 6 0.25393138 0.0001 0.74606862 0.0001 7 RG1L 5 0.25797623 0.0001 0.74202377 0.0001 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis 100 Observations 99 DF Total 12 Variables 98 DF Within Classes 2 Classes 1 DF Between Classes Class Level Information CASTE Frequency Weight Proportion Q 50 50.0000 0.500000 W 50 50.0000 0.500000 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Pairwise Squared Distances Between Groups 2 _ _ -1 _ _ D (i|j) = (X - X )' COV (X - X ) i j i j Squared Distance to WASP From CASTE Q W Q 0 11.82234 W 11.82234 0 F Statistics, NDF=12, DDF=87 for Squared Distance to WASP From CASTE Q W Q 0 21.86530 W 21.86530 0 Prob > Mahalanobis Distance for Squared Distance to WASP From CASTE Q W Q 1.0000 0.0001 W 0.0001 1.0000 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Univariate Test Statistics F Statistics, Num DF= 1 Den DF= 98 Total Pooled Between RSQ/ Variable STD STD STD R-Squared (1-RSQ) RWL 0.2827 0.2279 0.2375 0.356466 0.5539 RHH 0.0675 0.0485 0.0665 0.490287 0.9619 RHW 0.0960 0.0714 0.0909 0.452576 0.8267 RTH 0.0670 0.0658 0.0200 0.045064 0.0472 RTW 0.0668 0.0634 0.0310 0.108792 0.1221 RG1L 0.1189 0.0907 0.1090 0.423960 0.7360 RG2WA 0.2298 0.1985 0.1654 0.261715 0.3545 RG2L 0.1986 0.1692 0.1483 0.281748 0.3923 RHL 0.0138 0.0102 0.0131 0.459755 0.8510 RG1WB 0.005128 0.004895 0.002261 0.098213 0.1089 RG1WA 0.0240 0.0150 0.0265 0.614536 1.5943 RG1H 0.0103 0.009701 0.005238 0.129505 0.1488 Univariate Test Statistics Variable F Pr > F RWL 54.2841 0.0001 RHH 94.2651 0.0001 RHW 81.0202 0.0001 RTH 4.6247 0.0340 RTW 11.9631 0.0008 RG1L 72.1272 0.0001 RG2WA 34.7400 0.0001 RG2L 38.4423 0.0001 RHL 83.3993 0.0001 RG1WB 10.6731 0.0015 RG1WA 156.2389 0.0001 RG1H 14.5797 0.0002 Average R-Squared: Unweighted = 0.3102181 Weighted by Variance = 0.3190095 Multivariate Statistics and Exact F Statistics S=1 M=5 N=42.5 Statistic Value F Num DF Den DF Pr > F Wilks' Lambda 0.24900994 21.8653 12 87 0.0001 Pillai's Trace 0.75099006 21.8653 12 87 0.0001 Hotelling-Lawley Trace 3.01590388 21.8653 12 87 0.0001 Roy's Greatest Root 3.01590388 21.8653 12 87 0.0001 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Adjusted Approx Squared Canonical Canonical Standard Canonical Correlation Correlation Error Correlation 1 0.866597 0.851723 0.025026 0.750990 Eigenvalues of INV(E)*H = CanRsq/(1-CanRsq) Eigenvalue Difference Proportion Cumulative 1 3.0159 . 1.0000 1.0000 Test of H0: The canonical correlations in the current row and all that follow are zero Likelihood Ratio Approx F Num DF Den DF Pr > F 1 0.24900994 21.8653 12 87 0.0001 NOTE: The F statistic is exact. Total Canonical Structure CAN1 RWL 0.688957 RHH 0.807994 RHW 0.776298 RTH 0.244962 RTW -0.380610 RG1L 0.751356 RG2WA -0.590333 RG2L 0.612510 RHL 0.782431 RG1WB -0.361632 RG1WA -0.904600 RG1H -0.415267 Between Canonical Structure CAN1 RWL 1.000000 RHH 1.000000 RHW 1.000000 RTH 1.000000 RTW -1.000000 RG1L 1.000000 RG2WA -1.000000 RG2L 1.000000 RHL 1.000000 RG1WB -1.000000 RG1WA -1.000000 RG1H -1.000000 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Pooled Within Canonical Structure CAN1 RWL 0.428563 RHH 0.564747 RHW 0.523570 RTH 0.125089 RTW -0.201187 RG1L 0.494001 RG2WA -0.342842 RG2L 0.360648 RHL 0.531202 RG1WB -0.190030 RG1WA -0.727064 RG1H -0.222102 Total-Sample Standardized Canonical Coefficients CAN1 RWL 0.2839111617 RHH 0.1959979065 RHW 0.4757773426 RTH 0.0186530703 RTW -.4961126221 RG1L 0.1610507066 RG2WA -.0767536349 RG2L 0.0937003508 RHL 0.2979464030 RG1WB 0.0001438576 RG1WA -.6422855636 RG1H -.0947021350 Pooled Within-Class Standardized Canonical Coefficients CAN1 RWL 0.2289142463 RHH 0.1406432040 RHW 0.3538101526 RTH 0.0183206948 RTW -.4707327948 RG1L 0.1228551496 RG2WA -.0662850464 RG2L 0.0798149527 RHL 0.2201090717 RG1WB 0.0001373059 RG1WA -.4007973115 RG1H -.0888070321 17:13 Sunday, March 26, 1995 Canonical Discriminant Analysis Raw Canonical Coefficients CAN1 RWL 1.00442252 RHH 2.90213625 RHW 4.95486347 RTH 0.27851913 RTW -7.42943504 RG1L 1.35403266 RG2WA -0.33399338 RG2L 0.47182593 RHL 21.63363432 RG1WB 0.02805250 RG1WA -26.72750832 RG1H -9.15443188 Class Means on Canonical Variables CASTE CAN1 Q -1.719181726 W 1.719181726 17:13 Sunday, March 26, 1995 Plot of RHW*RG1WA. Symbol is value of WASP. RHW | 0.25 + | | | W W | W 0.20 + | W | W | W | 0.15 + W W W | | W | W WWW | W W 0.10 + W W | W W | W W | W | W W Q 0.05 + W W Q Q | Q Q | W WW W | W | W W 0.00 + WW Q | W W Q QW W Q | W W W Q | W W Q Q | W Q Q Q Q Q Q -0.05 + Q Q Q | W Q Q | W Q Q Q Q | Q Q Q Q Q | W QQ -0.10 + Q Q | Q | Q Q | Q Q Q | Q -0.15 + | Q | | Q | Q -0.20 + | | Q | | -0.25 + | -+-----------+-----------+-----------+-----------+-----------+-----------+ -0.06 -0.04 -0.02 0.00 0.02 0.04 0.06 RG1WA NOTE: 4 obs hidden. 17:13 Sunday, March 26, 1995 Plot of RG1WA*CAN1. Symbol is value of WASP. RG1WA | 0.05 + | | Q | Q | QQ Q 0.04 + Q Q | Q | | QQ Q | Q 0.03 + | QQ Q | Q | | Q 0.02 + Q | QQ | Q Q Q Q | Q Q Q Q | Q Q 0.01 + Q Q Q Q | Q Q Q | Q Q Q W | Q | W W 0.00 + W W | Q W W | Q Q W | Q W W W | W Q Q W WW W -0.01 + W W | W W | W W | W W W | -0.02 + W W | W W | W W W W | W | W W W -0.03 + W | W W | | W | W W -0.04 + W W | W W W | | W | -0.05 + | ---+--------------+--------------+--------------+--------------+-- -4 -2 0 2 4 CAN1 NOTE: 4 obs hidden. 17:13 Sunday, March 26, 1995 Plot of RHW*CAN1. Symbol is value of WASP. RHW | 0.25 + | | | W W | W 0.20 + | W | W | W | 0.15 + W WW W | | W | W W W | W W 0.10 + WW | WW | W W | W | Q W W 0.05 + Q Q W W | Q Q | W WWW | W | W W 0.00 + Q W W | Q Q Q W Q WW W | Q W W W | Q Q Q W W | QQ Q Q Q W -0.05 + Q Q | Q Q W | QQ Q Q W | Q Q Q Q Q | Q Q W -0.10 + QQ Q | Q | Q Q | Q Q Q | Q -0.15 + | Q | | Q | Q -0.20 + | | Q | | -0.25 + | ---+--------------+--------------+--------------+--------------+-- -4 -2 0 2 4 CAN1 NOTE: 3 obs hidden.