The SAS System 1 The FREQ Procedure Table of siskel by ebert siskel ebert Frequency‚ Percent ‚ Row Pct ‚ Col Pct ‚con ‚mixed ‚pro ‚ Total ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ con ‚ 24 ‚ 8 ‚ 13 ‚ 45 ‚ 15.00 ‚ 5.00 ‚ 8.13 ‚ 28.13 ‚ 53.33 ‚ 17.78 ‚ 28.89 ‚ ‚ 57.14 ‚ 26.67 ‚ 14.77 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ mixed ‚ 8 ‚ 13 ‚ 11 ‚ 32 ‚ 5.00 ‚ 8.13 ‚ 6.88 ‚ 20.00 ‚ 25.00 ‚ 40.63 ‚ 34.38 ‚ ‚ 19.05 ‚ 43.33 ‚ 12.50 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ pro ‚ 10 ‚ 9 ‚ 64 ‚ 83 ‚ 6.25 ‚ 5.63 ‚ 40.00 ‚ 51.88 ‚ 12.05 ‚ 10.84 ‚ 77.11 ‚ ‚ 23.81 ‚ 30.00 ‚ 72.73 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ Total 42 30 88 160 26.25 18.75 55.00 100.00 Statistics for Table of siskel by ebert Statistic DF Value Prob ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Chi-Square 4 45.3569 <.0001 Likelihood Ratio Chi-Square 4 43.2325 <.0001 Mantel-Haenszel Chi-Square 1 33.4645 <.0001 Phi Coefficient 0.5324 Contingency Coefficient 0.4700 Cramer's V 0.3765 The SAS System 2 The FREQ Procedure Statistics for Table of siskel by ebert Test of Symmetry ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Statistic (S) 0.5913 DF 3 Pr > S 0.8984 Kappa Statistics Statistic Value ASE 95% Confidence Limits ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Simple Kappa 0.3888 0.0598 0.2716 0.5060 Weighted Kappa 0.4269 0.0635 0.3024 0.5513 Sample Size = 160 Independence Model 3 The GENMOD Procedure Model Information Data Set WORK.MOVIES Distribution Poisson Link Function Log Dependent Variable count Number of Observations Read 9 Number of Observations Used 9 Class Level Information Class Levels Values siskel 3 con mixed pro ebert 3 con mixed pro Parameter Information Parameter Effect siskel ebert Prm1 Intercept Prm2 siskel con Prm3 siskel mixed Prm4 siskel pro Prm5 ebert con Prm6 ebert mixed Prm7 ebert pro Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 4 43.2325 10.8081 Scaled Deviance 4 43.2325 10.8081 Pearson Chi-Square 4 45.3569 11.3392 Scaled Pearson X2 4 45.3569 11.3392 Log Likelihood 329.9630 Full Log Likelihood -41.7120 AIC (smaller is better) 93.4240 AICC (smaller is better) 113.4240 BIC (smaller is better) 94.4101 Algorithm converged. Independence Model 4 The GENMOD Procedure Analysis Of Maximum Likelihood Parameter Estimates Likelihood Ratio Standard 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Pr > ChiSq Intercept 1 3.8210 0.1310 3.5552 4.0692 850.73 <.0001 siskel con 1 -0.6122 0.1851 -0.9826 -0.2549 10.94 0.0009 siskel mixed 1 -0.9531 0.2081 -1.3748 -0.5561 20.98 <.0001 siskel pro 0 0.0000 0.0000 0.0000 0.0000 . . ebert con 1 -0.7397 0.1875 -1.1163 -0.3790 15.55 <.0001 ebert mixed 1 -1.0761 0.2114 -1.5062 -0.6743 25.91 <.0001 ebert pro 0 0.0000 0.0000 0.0000 0.0000 . . Scale 0 1.0000 0.0000 1.0000 1.0000 NOTE: The scale parameter was held fixed. LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq siskel 2 25.43 <.0001 ebert 2 33.55 <.0001 Observation Statistics Standard Error of the Predicted Linear Linear Observation count siskel ebert Value Predictor Predictor HessWgt Std Raw Pearson Deviance Deviance Lower Upper Residual Residual Residual Residual Std Pearson Likelihood DFBETA_ DFBETA_ Residual Residual Leverage CookD Intercept siskelcon DFBETA_ DFBETA_ DFBETA_ DFBETAS_ DFBETAS_ siskelmixed ebertcon ebertmixed Intercept siskelcon DFBETAS_ DFBETAS_ DFBETAS_ siskelmixed ebertcon ebertmixed 1 24 con con 11.8125 2.4691583 0.1994536 11.8125 7.9903647 17.462928 12.1875 3.5460406 3.1067644 4.2671547 4.8705024 4.5606332 0.4699219 4.2059423 -0.143699 0.510931 0 0.547426 0 -1.096915 2.7599584 0 2.9189036 0 Independence Model 5 The GENMOD Procedure Observation Statistics Standard Error of the Predicted Linear Linear Observation count siskel ebert Value Predictor Predictor HessWgt Std Raw Pearson Deviance Deviance Lower Upper Residual Residual Residual Residual Std Pearson Likelihood DFBETA_ DFBETA_ Residual Residual Leverage CookD Intercept siskelcon DFBETA_ DFBETA_ DFBETA_ DFBETAS_ DFBETAS_ siskelmixed ebertcon ebertmixed Intercept siskelcon DFBETAS_ DFBETAS_ DFBETAS_ siskelmixed ebertcon ebertmixed 2 8 con mixed 8.4375 2.1326861 0.2220485 8.4375 5.4601645 13.038326 -0.4375 -0.150616 -0.151947 -0.198834 -0.197093 -0.198111 0.4160156 0.0055345 0.0046823 -0.016648 1.822E-18 0 -0.024972 0.0357417 -0.08993 8.757E-18 0 -0.118118 3 13 con pro 24.75 3.2088255 0.1653356 24.75 17.899516 34.222294 -11.75 -2.361839 -2.59985 -4.571441 -4.152934 -4.292762 0.6765625 7.215355 -0.185771 -0.8073 0 0.4128239 0.4128239 -1.418063 -4.360892 0 2.2011981 1.9526562 4 8 mixed con 8.4000001 2.1282317 0.2209288 8.4000001 5.4478404 12.951922 -0.4 -0.138013 -0.139131 -0.181133 -0.179678 -0.180538 0.41 0.0044869 0.0042373 -9E-19 -0.021186 -0.016142 0 0.0323449 -4.86E-18 -0.101818 -0.08607 0 5 13 mixed mixed 6 1.7917595 0.2415229 6 3.7373739 9.6324321 7 2.857738 2.4704123 3.0641694 3.5445878 3.2404279 0.35 1.3530572 -0.067308 -2.7E-17 0.3365385 -1.87E-17 0.3589744 -0.513787 -1.46E-16 1.6173344 -9.96E-17 1.697948 6 11 mixed pro 17.6 2.8678989 0.1906925 17.6 12.111415 25.575871 -6.6 -1.573213 -1.69113 -2.81855 -2.622022 -2.694424 0.64 2.4444444 -0.09375 0 -0.572917 0.2083333 0.2083333 -0.715632 0 -2.753319 1.110844 0.9854162 7 10 pro con 21.7875 3.0813364 0.1720689 21.7875 15.550418 30.5262 -11.7875 -2.525329 -2.828423 -4.747641 -4.238885 -4.426153 0.6450781 6.5314982 -0.192567 0.400139 0.400139 -0.790751 -5.76E-17 -1.469941 2.1614798 1.9229853 -4.216324 -2.73E-16 Independence Model 6 The GENMOD Procedure Observation Statistics Standard Error of the Predicted Linear Linear Observation count siskel ebert Value Predictor Predictor HessWgt Std Raw Pearson Deviance Deviance Lower Upper Residual Residual Residual Residual Std Pearson Likelihood DFBETA_ DFBETA_ Residual Residual Leverage CookD Intercept siskelcon DFBETA_ DFBETA_ DFBETA_ DFBETAS_ DFBETAS_ siskelmixed ebertcon ebertmixed Intercept siskelcon DFBETAS_ DFBETAS_ DFBETAS_ siskelmixed ebertcon ebertmixed 8 9 pro mixed 15.5625 2.7448642 0.1978169 15.5625 10.560812 22.933029 -6.5625 -1.663526 -1.807619 -2.890746 -2.660312 -2.752713 0.6089844 2.2044852 -0.097312 0.2022074 0.2022074 2.911E-17 -0.559441 -0.742824 1.0922887 0.9717672 1.552E-16 -2.646153 9 64 pro pro 45.65 3.8210036 0.1310032 45.65 35.312681 59.013433 18.35 2.7159119 2.559018 5.4989745 5.8361178 5.7647781 0.7834375 24.643318 1.454174 -1.02088 -1.02088 -0.962876 -0.962876 11.100297 -5.514613 -4.906139 -5.134101 -4.554399 Quasi-Independence Model 7 The GENMOD Procedure Model Information Data Set WORK.MOVIES Distribution Poisson Link Function Log Dependent Variable count Number of Observations Read 9 Number of Observations Used 9 Class Level Information Class Levels Values siskel 3 con mixed pro ebert 3 con mixed pro Parameter Information Parameter Effect siskel ebert Prm1 Intercept Prm2 siskel con Prm3 siskel mixed Prm4 siskel pro Prm5 ebert con Prm6 ebert mixed Prm7 ebert pro Prm8 icon Prm9 imixed Prm10 ipro Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 1 0.0061 0.0061 Scaled Deviance 1 0.0061 0.0061 Pearson Chi-Square 1 0.0061 0.0061 Scaled Pearson X2 1 0.0061 0.0061 Log Likelihood 351.5763 Full Log Likelihood -20.0988 AIC (smaller is better) 56.1975 AICC (smaller is better) . BIC (smaller is better) 57.7753 Quasi-Independence Model 8 The GENMOD Procedure Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Likelihood Ratio Standard 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Pr > ChiSq Intercept 1 2.6520 0.3965 1.8676 3.4315 44.73 <.0001 siskel con 1 -0.0946 0.3839 -0.8573 0.6606 0.06 0.8053 siskel mixed 1 -0.2452 0.3804 -1.0053 0.4984 0.42 0.5191 siskel pro 0 0.0000 0.0000 0.0000 0.0000 . . ebert con 1 -0.3397 0.3769 -1.0957 0.3940 0.81 0.3674 ebert mixed 1 -0.4657 0.3698 -1.2118 0.2498 1.59 0.2079 ebert pro 0 0.0000 0.0000 0.0000 0.0000 . . icon 1 0.9603 0.4453 0.0892 1.8421 4.65 0.0310 imixed 1 0.6239 0.4830 -0.3317 1.5719 1.67 0.1965 ipro 1 1.5069 0.4158 0.6892 2.3273 13.13 0.0003 Scale 0 1.0000 0.0000 1.0000 1.0000 NOTE: The scale parameter was held fixed. LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq siskel 2 0.44 0.8016 ebert 2 1.72 0.4223 icon 1 4.67 0.0308 imixed 1 1.65 0.1987 ipro 1 12.75 0.0004 Quasi-Independence Model 9 The GENMOD Procedure Observation Statistics Predicted Observation count icon imixed ipro siskel ebert Value Standard Error of the Linear Linear Predictor Predictor HessWgt Lower Upper Std Std Raw Pearson Deviance Deviance Pearson Residual Residual Residual Residual Residual Likelihood DFBETA_ DFBETA_ Residual Leverage CookD Intercept siskelcon DFBETA_ DFBETA_ DFBETA_ DFBETA_ DFBETA_ siskelmixed ebertcon ebertmixed icon imixed DFBETA_ DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ ipro Intercept siskelcon siskelmixed ebertcon DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ ebertmixed icon imixed ipro 1 24 1 0 0 con con 24 3.1780538 0.2041241 24 16.086459 35.806513 -1.42E-14 -2.9E-15 -8.429E-8 -4.618802 -1.589E-7 -1.799E-7 1 . -1.18E-15 -1.78E-15 5.921E-16 -5.92E-16 0 -1.777778 -2.96E-16 -1.18E-15 -2.99E-15 -4.63E-15 1.557E-15 -1.57E-15 0 -3.992612 -6.13E-16 -2.85E-15 2 8 0 0 0 con mixed 8.0980871 2.0916279 0.3150296 8.0980871 4.3674584 15.015373 -0.098087 -0.034468 -0.034538 -0.077951 -0.077793 -0.077824 0.8036837 0.0030969 0.0309647 -0.038567 -0.022127 -0.021251 -0.041983 0.0288538 0.0331452 -0.030965 0.0780854 -0.100451 -0.058171 -0.056389 -0.113523 0.0648012 0.0686211 -0.074473 3 13 0 0 0 con pro 12.901913 2.5573756 0.2606862 12.901913 7.740297 21.505552 0.0980871 0.0273077 0.0272732 0.0776951 0.0777933 0.0777812 0.876779 0.0053827 0.0309647 0.023131 -0.022127 -0.021251 -0.041983 -0.032844 0.0331452 -0.030965 0.0780853 0.0602463 -0.058171 -0.056389 -0.113523 -0.073764 0.0686211 -0.074473 4 8 0 0 0 mixed con 7.9019129 2.0671049 0.3179476 7.9019129 4.2373538 14.735665 0.0980871 0.0348936 0.0348218 0.0776332 0.0777933 0.0777611 0.7988099 0.0030035 -0.030734 0.023131 0.0395717 0.040447 0.0197149 -0.032844 -0.028553 0.0307335 -0.077502 0.0602463 0.1040348 0.107323 0.0533091 -0.073764 -0.059114 0.0739171 Quasi-Independence Model 10 The GENMOD Procedure Observation Statistics Predicted Observation count icon imixed ipro siskel ebert Value Standard Error of the Linear Linear Predictor Predictor HessWgt Lower Upper Std Std Raw Pearson Deviance Deviance Pearson Residual Residual Residual Residual Residual Likelihood DFBETA_ DFBETA_ Residual Leverage CookD Intercept siskelcon DFBETA_ DFBETA_ DFBETA_ DFBETA_ DFBETA_ siskelmixed ebertcon ebertmixed icon imixed DFBETA_ DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ ipro Intercept siskelcon siskelmixed ebertcon DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ ebertmixed icon imixed ipro 5 13 0 1 0 mixed mixed 13 2.5649494 0.2773501 13 7.5485324 22.388458 7.105E-15 1.971E-15 0 . . . 1 . -4.22E-15 1.998E-15 4.441E-15 2.554E-15 4.441E-15 -1.11E-15 -2.461538 3.997E-15 -1.06E-14 5.205E-15 1.168E-14 6.776E-15 1.201E-14 -2.49E-15 -5.09617 9.613E-15 6 11 0 0 0 mixed pro 11.098087 2.4067728 0.2778455 11.098087 6.4379209 19.13157 -0.098087 -0.029443 -0.029487 -0.077908 -0.077793 -0.07781 0.8567513 0.0045244 -0.030734 0.023131 -0.022127 0.040447 0.0197149 -0.032844 0.0331452 0.0307336 -0.077502 0.0602463 -0.058171 0.1073231 0.0533091 -0.073764 0.0686211 0.0739171 7 10 0 0 0 pro con 10.098087 2.312346 0.2888566 10.098087 5.7327622 17.787475 -0.098087 -0.030867 -0.030917 -0.07792 -0.077793 -0.077813 0.8425655 0.0040485 -0.030734 0.023131 0.0395718 -0.021251 0.0197149 0.0288538 -0.028553 0.0307336 -0.077502 0.0602463 0.1040348 -0.056389 0.0533091 0.0648012 -0.059114 0.0739171 8 9 0 0 0 pro mixed 8.9019129 2.1862662 0.3037655 8.9019129 4.908148 16.145408 0.0980871 0.0328753 0.0328152 0.0776511 0.0777933 0.077768 0.8214107 0.0034794 0.0309647 -0.038567 -0.022127 -0.021251 0.0197149 0.0288538 -0.028553 -0.030965 0.0780853 -0.100451 -0.058171 -0.056389 0.0533091 0.0648011 -0.059114 -0.074473 Quasi-Independence Model 11 The GENMOD Procedure Observation Statistics Predicted Observation count icon imixed ipro siskel ebert Value Standard Error of the Linear Linear Predictor Predictor HessWgt Lower Upper Std Std Raw Pearson Deviance Deviance Pearson Residual Residual Residual Residual Residual Likelihood DFBETA_ DFBETA_ Residual Leverage CookD Intercept siskelcon DFBETA_ DFBETA_ DFBETA_ DFBETA_ DFBETA_ siskelmixed ebertcon ebertmixed icon imixed DFBETA_ DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ ipro Intercept siskelcon siskelmixed ebertcon DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ ebertmixed icon imixed ipro 9 64 0 0 1 pro pro 64 4.1588831 0.125 64 50.093316 81.767396 -2.84E-14 -3.55E-15 0 . . . 1 . 1.776E-15 -8.88E-16 -8.88E-16 -8.88E-16 -8.88E-16 8.882E-16 4.441E-16 1 4.48E-15 -2.31E-15 -2.34E-15 -2.36E-15 -2.4E-15 1.995E-15 9.194E-16 2.4050932 Symmetry Model 12 The GENMOD Procedure Model Information Data Set WORK.MOVIES Distribution Poisson Link Function Log Dependent Variable count Number of Observations Read 9 Number of Observations Used 9 Class Level Information Class Levels Values symm 6 1 4 6 2 5 3 Parameter Information Parameter Effect symm Prm1 Intercept Prm2 symm 1 Prm3 symm 4 Prm4 symm 6 Prm5 symm 2 Prm6 symm 5 Prm7 symm 3 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 3 0.5928 0.1976 Scaled Deviance 3 0.5928 0.1976 Pearson Chi-Square 3 0.5913 0.1971 Scaled Pearson X2 3 0.5913 0.1971 Log Likelihood 351.2829 Full Log Likelihood -20.3921 AIC (smaller is better) 52.7842 AICC (smaller is better) 94.7842 BIC (smaller is better) 53.9676 Algorithm converged. Symmetry Model 13 The GENMOD Procedure Analysis Of Maximum Likelihood Parameter Estimates Likelihood Ratio Standard 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Pr > ChiSq Intercept 1 4.1589 0.1250 3.9035 4.3943 1106.96 <.0001 symm 1 1 -0.9808 0.2394 -1.4690 -0.5262 16.79 <.0001 symm 4 1 -2.0794 0.2795 -2.6613 -1.5580 55.35 <.0001 symm 6 1 -1.7165 0.2431 -2.2134 -1.2556 49.85 <.0001 symm 2 1 -1.5939 0.3042 -2.2348 -1.0322 27.45 <.0001 symm 5 1 -1.8563 0.2562 -2.3834 -1.3735 52.51 <.0001 symm 3 0 0.0000 0.0000 0.0000 0.0000 . . Scale 0 1.0000 0.0000 1.0000 1.0000 NOTE: The scale parameter was held fixed. LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq symm 5 101.62 <.0001 Observation Statistics Standard Error of the Predicted Linear Linear Observation count symm Value Predictor Predictor HessWgt Lower Std Std Raw Pearson Deviance Deviance Pearson Upper Residual Residual Residual Residual Residual Likelihood DFBETA_ DFBETA_ DFBETA_ Residual Leverage CookD Intercept symm1 symm4 DFBETA_ DFBETA_ DFBETA_ DFBETAS_ DFBETAS_ DFBETAS_ symm6 symm2 symm5 Intercept symm1 symm4 DFBETAS_ DFBETAS_ DFBETAS_ symm6 symm2 symm5 1 24 1 24 3.1780538 0.2041241 24 16.086459 35.806513 7.105E-15 1.45E-15 8.4294E-8 . . . 1 . 0 -1.333333 0 -1.11E-16 -1.11E-16 -1.11E-16 0 -5.570485 0 -4.57E-16 -3.65E-16 -4.33E-16 Symmetry Model 14 The GENMOD Procedure Observation Statistics Standard Error of the Predicted Linear Linear Observation count symm Value Predictor Predictor HessWgt Lower Std Std Raw Pearson Deviance Deviance Pearson Upper Residual Residual Residual Residual Residual Likelihood DFBETA_ DFBETA_ DFBETA_ Residual Leverage CookD Intercept symm1 symm4 DFBETA_ DFBETA_ DFBETA_ DFBETAS_ DFBETAS_ DFBETAS_ symm6 symm2 symm5 Intercept symm1 symm4 DFBETAS_ DFBETAS_ DFBETAS_ symm6 symm2 symm5 2 8 4 8 2.0794415 0.25 8 4.9010553 13.058412 1.776E-15 6.28E-16 0 0 8.882E-16 6.28E-16 0.5 1.315E-31 0 0 2.22E-16 1.233E-32 1.233E-32 1.233E-32 0 0 7.944E-16 5.07E-32 4.052E-32 4.812E-32 3 13 6 11.5 2.442347 0.2085144 11.5 7.6420531 17.305559 1.5 0.4423259 0.4331978 0.6126343 0.6255432 0.6191224 0.5 0.0652174 1.041E-17 0 0 0.1304348 0 0 8.327E-17 0 0 0.5365222 0 0 4 8 4 8 2.0794415 0.25 8 4.9010553 13.058412 1.776E-15 6.28E-16 0 0 8.882E-16 6.28E-16 0.5 1.315E-31 0 0 2.22E-16 1.233E-32 1.233E-32 1.233E-32 0 0 7.944E-16 5.07E-32 4.052E-32 4.812E-32 5 13 2 13 2.5649494 0.2773501 13 7.5485324 22.388458 7.105E-15 1.971E-15 0 . . . 1 . . . . . . . . . . . . . 6 11 5 10 2.3025851 0.2236068 10 6.451572 15.500098 1 0.3162278 0.3111655 0.4400544 0.4472136 0.4436485 0.5 0.0333333 6.939E-18 0 0 0 0 0.1 5.551E-17 0 0 0 0 0.39036 7 10 6 11.5 2.442347 0.2085144 11.5 7.6420531 17.305559 -1.5 -0.442326 -0.452505 -0.639939 -0.625543 -0.632782 0.5 0.0652174 -1.04E-17 0 0 -0.130435 0 0 -8.33E-17 0 0 -0.536522 0 0 Symmetry Model 15 The GENMOD Procedure Observation Statistics Standard Error of the Predicted Linear Linear Observation count symm Value Predictor Predictor HessWgt Lower Std Std Raw Pearson Deviance Deviance Pearson Upper Residual Residual Residual Residual Residual Likelihood DFBETA_ DFBETA_ DFBETA_ Residual Leverage CookD Intercept symm1 symm4 DFBETA_ DFBETA_ DFBETA_ DFBETAS_ DFBETAS_ DFBETAS_ symm6 symm2 symm5 Intercept symm1 symm4 DFBETAS_ DFBETAS_ DFBETAS_ symm6 symm2 symm5 8 9 5 10 2.3025851 0.2236068 10 6.451572 15.500098 -1 -0.316228 -0.321731 -0.454996 -0.447214 -0.451122 0.5 0.0333333 -6.94E-18 0 0 0 0 -0.1 -5.55E-17 0 0 0 0 -0.39036 9 64 3 64 4.1588831 0.125 64 50.093316 81.767396 2.132E-14 2.665E-15 0 . . . 1 . . . . . . . . . . . . . Quasi-Symmetry Model 16 The GENMOD Procedure Model Information Data Set WORK.MOVIES Distribution Poisson Link Function Log Dependent Variable count Number of Observations Read 9 Number of Observations Used 9 Class Level Information Class Levels Values siskel 3 con mixed pro ebert 3 con mixed pro symm 6 1 4 6 2 5 3 Parameter Information Parameter Effect siskel ebert symm Prm1 Intercept Prm2 siskel con Prm3 siskel mixed Prm4 siskel pro Prm5 ebert con Prm6 ebert mixed Prm7 ebert pro Prm8 symm 1 Prm9 symm 4 Prm10 symm 6 Prm11 symm 2 Prm12 symm 5 Prm13 symm 3 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 1 0.0061 0.0061 Scaled Deviance 1 0.0061 0.0061 Pearson Chi-Square 1 0.0061 0.0061 Scaled Pearson X2 1 0.0061 0.0061 Log Likelihood 351.5763 Full Log Likelihood -20.0988 AIC (smaller is better) 56.1975 AICC (smaller is better) . Quasi-Symmetry Model 17 The GENMOD Procedure Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF BIC (smaller is better) 57.7753 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Likelihood Ratio Standard 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Pr > ChiSq Intercept 1 4.1589 0.1250 3.9035 4.3943 1106.96 <.0001 siskel con 1 -1.6015 0.2891 -2.2004 -1.0611 30.69 <.0001 siskel mixed 1 -1.7521 0.3047 -2.3863 -1.1854 33.07 <.0001 siskel pro 0 0.0000 0.0000 0.0000 0.0000 . . ebert con 1 -1.8465 0.3147 -2.5036 -1.2628 34.42 <.0001 ebert mixed 1 -1.9726 0.3285 -2.6605 -1.3656 36.06 <.0001 ebert pro 0 0.0000 0.0000 0.0000 0.0000 . . symm 1 1 2.4672 0.4828 1.5531 3.4558 26.11 <.0001 symm 4 1 1.5069 0.4158 0.6892 2.3273 13.13 0.0003 symm 6 0 0.0000 0.0000 0.0000 0.0000 . . symm 2 1 2.1308 0.5424 1.0904 3.2328 15.43 <.0001 symm 5 0 0.0000 0.0000 0.0000 0.0000 . . symm 3 0 0.0000 0.0000 0.0000 0.0000 . . Scale 0 1.0000 0.0000 1.0000 1.0000 NOTE: The scale parameter was held fixed. LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq siskel 0 0.00 . ebert 0 0.00 . symm 3 43.23 <.0001 Quasi-Symmetry Model 18 The GENMOD Procedure Observation Statistics Standard Error of the Predicted Linear Linear Observation count siskel ebert symm Value Predictor Predictor HessWgt Std Raw Pearson Deviance Deviance Lower Upper Residual Residual Residual Residual Std Pearson Likelihood DFBETA_ DFBETA_ Residual Residual Leverage CookD Intercept siskelcon DFBETA_ DFBETA_ DFBETA_ DFBETA_ DFBETA_ siskelmixed ebertcon ebertmixed symm1 symm4 DFBETA_ DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ symm2 Intercept siskelcon siskelmixed ebertcon DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ ebertmixed symm1 symm4 symm2 1 24 con con 1 24 3.1780538 0.2041241 24 16.086459 35.806513 1.776E-14 3.626E-15 8.4294E-8 . . . 1 . 0 5.551E-16 0 0 -1.39E-16 -1.666667 0 2.776E-16 0 1.92E-15 0 0 -4.22E-16 -3.452114 0 5.117E-16 2 8 con mixed 4 8.0980871 2.0916279 0.3150296 8.0980871 4.3674584 15.015373 -0.098087 -0.034468 -0.034538 -0.077951 -0.077793 -0.077824 0.8036837 0.0030969 0 -0.007603 0.0088382 0.0097134 -0.011019 -0.002111 -0.030965 0.0021805 0 -0.026297 0.0290092 0.0308615 -0.033544 -0.004372 -0.074473 0.00402 3 13 con pro 6 12.901913 2.5573756 0.2606862 12.901913 7.740297 21.505552 0.0980871 0.0273077 0.0272732 0.0776951 0.0777933 0.0777812 0.876779 0.0053827 -8.29E-18 0.0540957 0.0088382 0.0097134 -0.011019 -0.063809 -0.030965 0.0021805 -6.63E-17 0.1871139 0.0290092 0.0308615 -0.033544 -0.132166 -0.074473 0.00402 4 8 mixed con 4 7.9019129 2.0671049 0.3179476 7.9019129 4.2373538 14.735665 0.0980871 0.0348936 0.0348218 0.0776332 0.0777933 0.0777611 0.7988099 0.0030035 0 -0.007603 0.0088382 0.0097134 -0.011019 -0.002111 0.0307335 0.0021805 0 -0.026297 0.0290092 0.0308615 -0.033544 -0.004372 0.0739171 0.00402 5 13 mixed mixed 2 13 2.5649494 0.2773501 13 7.5485324 22.388458 0 0 0 . . . 1 . . . . . . . . . . . . . . . . . Quasi-Symmetry Model 19 The GENMOD Procedure Observation Statistics Standard Error of the Predicted Linear Linear Observation count siskel ebert symm Value Predictor Predictor HessWgt Std Raw Pearson Deviance Deviance Lower Upper Residual Residual Residual Residual Std Pearson Likelihood DFBETA_ DFBETA_ Residual Residual Leverage CookD Intercept siskelcon DFBETA_ DFBETA_ DFBETA_ DFBETA_ DFBETA_ siskelmixed ebertcon ebertmixed symm1 symm4 DFBETA_ DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ symm2 Intercept siskelcon siskelmixed ebertcon DFBETAS_ DFBETAS_ DFBETAS_ DFBETAS_ ebertmixed symm1 symm4 symm2 6 11 mixed pro 5 11.098087 2.4067728 0.2778455 11.098087 6.4379209 19.13157 -0.098087 -0.029443 -0.029487 -0.077908 -0.077793 -0.07781 0.8567513 0.0045244 -2.38E-18 -0.007603 -0.05286 0.0097134 -0.011019 -0.002111 0.0307336 0.0638787 -1.9E-17 -0.026297 -0.1735 0.0308615 -0.033544 -0.004372 0.0739171 0.1177694 7 10 pro con 6 10.098087 2.312346 0.2888566 10.098087 5.7327622 17.787475 -0.098087 -0.030867 -0.030917 -0.07792 -0.077793 -0.077813 0.8425655 0.0040485 1.081E-17 -0.007603 0.0088382 -0.051985 -0.011019 0.0595874 0.0307336 0.0021805 8.646E-17 -0.026297 0.0290092 -0.165166 -0.033544 0.1234214 0.0739171 0.00402 8 9 pro mixed 5 8.9019129 2.1862662 0.3037655 8.9019129 4.908148 16.145408 0.0980871 0.0328753 0.0328152 0.0776511 0.0777933 0.077768 0.8214107 0.0034794 0 -0.007603 0.0088382 0.0097134 0.0506796 -0.002111 -0.030965 -0.059518 0 -0.026297 0.0290092 0.0308615 0.1542857 -0.004372 -0.074473 -0.109729 9 64 pro pro 3 64 4.1588831 0.125 64 50.093316 81.767396 2.132E-14 2.665E-15 0 . . . 1 . . . . . . . . . . . . . . . . .