The SAS System 23:24 Sunday, May 6, 2001 1 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 4 1286.0200 321.5050 Scaled Deviance 4 1286.0200 321.5050 Pearson Chi-Square 4 1411.3860 352.8465 Scaled Pearson X2 4 1411.3860 352.8465 Log Likelihood 11367.7894 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Intercept 1 4.1725 0.0650 4.0452 4.2999 4125.94 <.0001 a 1 1 1.7851 0.0598 1.6680 1.9022 892.31 <.0001 a 2 0 0.0000 0.0000 0.0000 0.0000 . . c 1 1 0.6493 0.0442 0.5628 0.7358 216.28 <.0001 c 2 0 0.0000 0.0000 0.0000 0.0000 . . m 1 1 -0.3154 0.0424 -0.3986 -0.2322 55.22 <.0001 m 2 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. The SAS System 23:24 Sunday, May 6, 2001 2 The GENMOD Procedure Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 539.98258 6.2915369 0.036673 539.98258 502.53186 580.22428 371.01742 15.966305 14.521781 27.75404 30.514815 29.784445 2 538 1 1 2 740.22612 6.6069557 0.0326056 740.22612 694.40124 789.07507 -202.2261 -7.432844 -7.816886 -16.93538 -16.10335 -16.28418 3 44 1 2 1 282.09123 5.6422305 0.0442315 282.09123 258.66619 307.63767 -238.0912 -14.17583 -17.68261 -26.41523 -21.17661 -23.6679 4 456 1 2 2 386.70007 5.9576494 0.0409223 386.70007 356.89552 418.99361 69.299933 3.5240795 3.4259815 5.7710676 5.9363136 5.8786081 5 3 2 1 1 90.597385 4.5064254 0.0623693 90.597385 80.172754 102.3775 -87.59739 -9.203082 -12.43977 -15.45841 -11.43631 -14.17181 6 43 2 1 2 124.19392 4.8218442 0.0600678 124.19392 110.40036 139.71085 -81.19392 -7.285734 -8.436376 -11.35611 -9.807242 -10.68983 7 2 2 2 1 47.328801 3.857119 0.0670928 47.328801 41.496933 53.980265 -45.3288 -6.588878 -8.831858 -9.955841 -7.427409 -9.473902 8 279 2 2 2 64.879898 4.1725378 0.0649589 64.879898 57.123795 73.689103 214.1201 26.5829 19.639243 23.045595 31.193604 25.536057 The SAS System 23:24 Sunday, May 6, 2001 3 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 3 534.2117 178.0706 Scaled Deviance 3 534.2117 178.0706 Pearson Chi-Square 3 505.5976 168.5325 Scaled Pearson X2 3 505.5976 168.5325 Log Likelihood 11743.6935 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Intercept 1 4.6597 0.0631 4.5360 4.7833 5456.36 <.0001 a 1 1 1.7851 0.0598 1.6680 1.9022 892.31 <.0001 a 2 0 0.0000 0.0000 0.0000 0.0000 . . c 1 1 -0.2351 0.0555 -0.3439 -0.1263 17.94 <.0001 c 2 0 0.0000 0.0000 0.0000 0.0000 . . m 1 1 -2.7712 0.1520 -3.0691 -2.4733 332.46 <.0001 m 2 0 0.0000 0.0000 0.0000 0.0000 . . c*m 1 1 1 3.2243 0.1610 2.9088 3.5398 401.17 <.0001 c*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . . c*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . . c*m 2 2 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. The SAS System 23:24 Sunday, May 6, 2001 4 The GENMOD Procedure Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 782.68278 6.6627275 0.0341732 782.68278 731.97709 836.90096 128.31722 4.5866126 4.4691444 15.241727 15.642345 15.608305 2 538 1 1 2 497.52592 6.2096477 0.0423661 497.52592 457.88205 540.6022 40.474077 1.8145507 1.7907464 5.4745395 5.5473121 5.5395713 3 44 1 2 1 39.391037 3.6735383 0.1476917 39.391037 29.49049 52.615395 4.6089631 0.7343524 0.720688 1.9208488 1.9572687 1.952183 4 456 1 2 2 629.40026 6.4447674 0.0378716 629.40026 584.37352 677.89638 -173.4003 -6.911722 -7.272283 -23.31674 -22.16069 -22.27578 5 3 2 1 1 131.31725 4.8776161 0.060933 131.31725 116.53477 147.97488 -128.3172 -11.19758 -15.29577 -21.36727 -15.64235 -18.79515 6 43 2 1 2 83.474091 4.4245363 0.065878 83.474091 73.362863 94.978898 -40.47409 -4.429975 -4.888893 -6.121981 -5.547314 -5.920244 7 2 2 2 1 6.6089642 1.8884269 0.1560701 6.6089642 4.8672798 8.9738846 -4.608964 -1.79282 -2.106374 -2.299584 -1.957269 -2.248001 8 279 2 2 2 105.59975 4.659656 0.0630815 105.59975 93.318512 119.49728 173.40025 16.874008 13.975965 18.354681 22.16069 20.042246 The SAS System 23:24 Sunday, May 6, 2001 5 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 3 939.5626 313.1875 Scaled Deviance 3 939.5626 313.1875 Pearson Chi-Square 3 824.1630 274.7210 Scaled Pearson X2 3 824.1630 274.7210 Log Likelihood 11541.0181 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Intercept 1 4.7050 0.0628 4.5818 4.8281 5608.98 <.0001 a 1 1 1.1272 0.0641 1.0015 1.2529 309.01 <.0001 a 2 0 0.0000 0.0000 0.0000 0.0000 . . c 1 1 0.6493 0.0442 0.5628 0.7358 216.28 <.0001 c 2 0 0.0000 0.0000 0.0000 0.0000 . . m 1 1 -4.1651 0.4507 -5.0484 -3.2818 85.41 <.0001 m 2 0 0.0000 0.0000 0.0000 0.0000 . . a*m 1 1 1 4.1251 0.4529 3.2373 5.0128 82.94 <.0001 a*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . . a*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . . a*m 2 2 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. The SAS System 23:24 Sunday, May 6, 2001 6 The GENMOD Procedure Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 627.29569 6.441418 0.0357302 627.29569 584.8691 672.79993 283.70431 11.327388 10.603061 23.758914 25.381957 25.067088 2 538 1 1 2 652.91301 6.4814439 0.0351506 652.91301 609.44577 699.48043 -114.913 -4.497193 -4.639848 -10.55374 -10.22926 -10.29278 3 44 1 2 1 327.70431 5.7921117 0.043453 327.70431 300.95038 356.83661 -283.7043 -15.67202 -19.76642 -32.01314 -25.38196 -28.09525 4 456 1 2 2 341.08699 5.8321376 0.0429777 341.08699 313.53246 371.06313 114.91301 6.2220945 5.9142181 9.7231052 10.229261 10.044964 5 3 2 1 1 3.2842707 1.1891446 0.4474701 3.2842707 1.3663176 7.8945288 -0.284271 -0.15686 -0.159209 -0.272085 -0.268072 -0.269453 6 43 2 1 2 211.50703 5.3542582 0.0577505 211.50703 188.87197 236.85476 -168.507 -11.58659 -14.14253 -26.05622 -21.34716 -22.83557 7 2 2 2 1 1.7157293 0.5398383 0.4481529 1.7157293 0.7128207 4.129688 0.2842707 0.2170239 0.2114104 0.2611376 0.2680716 0.2635476 8 279 2 2 2 110.49297 4.7049519 0.0628222 110.49297 97.692285 124.97094 168.50703 16.030634 13.410405 17.857936 21.347159 19.456591 The SAS System 23:24 Sunday, May 6, 2001 7 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 3 843.8266 281.2755 Scaled Deviance 3 843.8266 281.2755 Pearson Chi-Square 3 704.9071 234.9690 Scaled Pearson X2 3 704.9071 234.9690 Log Likelihood 11588.8861 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Intercept 1 5.0905 0.0623 4.9685 5.2126 6680.07 <.0001 a 1 1 0.5763 0.0746 0.4301 0.7224 59.74 <.0001 a 2 0 0.0000 0.0000 0.0000 0.0000 . . c 1 1 -1.8097 0.1591 -2.1215 -1.4980 129.46 <.0001 c 2 0 0.0000 0.0000 0.0000 0.0000 . . m 1 1 -0.3154 0.0424 -0.3986 -0.2322 55.22 <.0001 m 2 0 0.0000 0.0000 0.0000 0.0000 . . a*c 1 1 1 2.8737 0.1673 2.5458 3.2016 295.07 <.0001 a*c 1 2 0 0.0000 0.0000 0.0000 0.0000 . . a*c 2 1 0 0.0000 0.0000 0.0000 0.0000 . . a*c 2 2 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. The SAS System 23:24 Sunday, May 6, 2001 8 The GENMOD Procedure Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 611.17751 6.4153874 0.0359504 611.17751 569.59522 655.79543 299.82249 12.127758 11.296737 24.645894 26.458918 26.088467 2 538 1 1 2 837.82249 6.7308063 0.0317906 837.82249 787.21219 891.68657 -299.8225 -10.35829 -11.09204 -28.33317 -26.45892 -26.75469 3 44 1 2 1 210.89631 5.3513666 0.0510127 210.89631 190.83009 233.07254 -166.8963 -11.49244 -13.99575 -20.83623 -17.10941 -18.88218 4 456 1 2 2 289.10369 5.6667854 0.0481717 289.10369 263.05698 317.72943 166.89631 9.8156692 9.0450277 15.766128 17.109412 16.679242 5 3 2 1 1 19.402461 2.9653999 0.1494705 19.402461 14.475291 26.006765 -16.40246 -3.723751 -4.648031 -6.175341 -4.947348 -5.675749 6 43 2 1 2 26.59754 3.2808187 0.1485249 26.59754 19.880022 35.584927 16.40246 3.1804478 2.916827 4.5372727 4.9473482 4.7821424 7 2 2 2 1 118.52373 4.7751132 0.064506 118.52373 104.44743 134.49709 -116.5237 -10.70315 -14.7214 -20.67864 -15.03435 -18.11612 8 279 2 2 2 162.47629 5.0905321 0.0622835 162.47629 143.80507 183.57171 116.52371 9.1415393 8.2856417 13.62672 15.034345 14.52982 The SAS System 23:24 Sunday, May 6, 2001 9 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 2 497.3693 248.6846 Scaled Deviance 2 497.3693 248.6846 Pearson Chi-Square 2 443.7611 221.8806 Scaled Pearson X2 2 443.7611 221.8806 Log Likelihood 11762.1147 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Intercept 1 5.6229 0.0601 5.5052 5.7406 8767.53 <.0001 a 1 1 -0.0817 0.0781 -0.2347 0.0714 1.09 0.2957 a 2 0 0.0000 0.0000 0.0000 0.0000 . . c 1 1 -1.8097 0.1591 -2.1215 -1.4980 129.46 <.0001 c 2 0 0.0000 0.0000 0.0000 0.0000 . . m 1 1 -4.1651 0.4507 -5.0484 -3.2818 85.41 <.0001 m 2 0 0.0000 0.0000 0.0000 0.0000 . . a*c 1 1 1 2.8737 0.1673 2.5458 3.2016 295.07 <.0001 a*c 1 2 0 0.0000 0.0000 0.0000 0.0000 . . a*c 2 1 0 0.0000 0.0000 0.0000 0.0000 . . a*c 2 2 0 0.0000 0.0000 0.0000 0.0000 . . a*m 1 1 1 4.1251 0.4529 3.2373 5.0128 82.94 <.0001 a*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . . a*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . . a*m 2 2 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. The SAS System 23:24 Sunday, May 6, 2001 10 The GENMOD Procedure Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 710.00257 6.5652686 0.0349881 710.00257 662.94574 760.39955 200.99743 7.5432857 7.2237754 19.970911 20.854232 20.740799 2 538 1 1 2 738.99743 6.6052944 0.034396 738.99743 690.82018 790.53453 -200.9974 -7.393823 -7.773921 -21.9263 -20.85423 -20.992 3 44 1 2 1 244.99743 5.5012477 0.0503392 244.99743 221.97942 270.40228 -200.9974 -12.84132 -15.83963 -25.72346 -20.85423 -22.82308 4 456 1 2 2 255.00257 5.5412736 0.0499295 255.00257 231.23017 281.21896 200.99743 12.586884 11.317113 18.750446 20.854232 20.113338 5 3 2 1 1 0.7033639 -0.351881 0.4676334 0.7033639 0.2812741 1.7588564 2.2966361 2.7384331 2.0272362 2.2037941 2.9769312 2.3393995 6 43 2 1 2 45.296636 3.8132328 0.1476029 45.296636 33.91768 60.49309 -2.296636 -0.341239 -0.344186 -3.002634 -2.976931 -2.97727 7 2 2 2 1 4.2966361 1.4578324 0.447773 4.2966361 1.7864199 10.334122 -2.296636 -1.10797 -1.238762 -3.328348 -2.976931 -3.028045 8 279 2 2 2 276.70336 5.622946 0.0600517 276.70336 245.97918 311.26517 2.2966361 0.1380654 0.1378751 2.9728273 2.9769312 2.9769224 The SAS System 23:24 Sunday, May 6, 2001 11 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 2 92.0184 46.0092 Scaled Deviance 2 92.0184 46.0092 Pearson Chi-Square 2 80.8148 40.4074 Scaled Pearson X2 2 80.8148 40.4074 Log Likelihood 11964.7902 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Intercept 1 5.5777 0.0603 5.4594 5.6959 8549.45 <.0001 a 1 1 0.5763 0.0746 0.4301 0.7224 59.74 <.0001 a 2 0 0.0000 0.0000 0.0000 0.0000 . . c 1 1 -2.6941 0.1626 -3.0128 -2.3755 274.62 <.0001 c 2 0 0.0000 0.0000 0.0000 0.0000 . . m 1 1 -2.7712 0.1520 -3.0691 -2.4733 332.46 <.0001 m 2 0 0.0000 0.0000 0.0000 0.0000 . . a*c 1 1 1 2.8737 0.1673 2.5458 3.2016 295.07 <.0001 a*c 1 2 0 0.0000 0.0000 0.0000 0.0000 . . a*c 2 1 0 0.0000 0.0000 0.0000 0.0000 . . a*c 2 2 0 0.0000 0.0000 0.0000 0.0000 . . c*m 1 1 1 3.2243 0.1610 2.9088 3.5398 401.17 <.0001 c*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . . c*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . . c*m 2 2 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. The SAS System 23:24 Sunday, May 6, 2001 12 The GENMOD Procedure Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 885.87692 6.786578 0.0333965 885.87692 829.74803 945.8027 25.123077 0.8440849 0.8401417 7.6829275 7.7189876 7.7185574 2 538 1 1 2 563.12308 6.3334982 0.0417421 563.12308 518.88649 611.13096 -25.12308 -1.058696 -1.066718 -7.777477 -7.718988 -7.720092 3 44 1 2 1 29.449424 3.3826743 0.1498623 29.449424 21.954004 39.503889 14.550576 2.6812777 2.4964361 4.2901715 4.6078252 4.5027765 4 456 1 2 2 470.55058 6.1539034 0.0456085 470.55058 430.31283 514.55088 -14.55058 -0.670775 -0.674278 -4.631884 -4.607825 -4.608336 5 3 2 1 1 28.123077 3.3365905 0.1488769 28.123077 21.00577 37.651915 -25.12308 -4.737415 -6.067807 -9.886685 -7.718988 -8.599881 6 43 2 1 2 17.876923 2.8835107 0.1509682 17.876923 13.298063 24.032401 25.123077 5.941915 5.0234588 6.5258448 7.7189875 7.0364446 7 2 2 2 1 16.550576 2.8064209 0.1549756 16.550576 12.215117 22.424801 -14.55058 -3.576627 -4.544013 -5.854125 -4.607825 -5.393315 8 279 2 2 2 264.44942 5.57765 0.0603229 264.44942 234.96094 297.63882 14.550576 0.8947648 0.886742 4.56651 4.6078252 4.606274 The SAS System 23:24 Sunday, May 6, 2001 13 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 2 187.7543 93.8772 Scaled Deviance 2 187.7543 93.8772 Pearson Chi-Square 2 177.6144 88.8072 Scaled Pearson X2 2 177.6144 88.8072 Log Likelihood 11916.9222 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Intercept 1 5.1921 0.0609 5.0727 5.3114 7273.54 <.0001 a 1 1 1.1272 0.0641 1.0015 1.2529 309.01 <.0001 a 2 0 0.0000 0.0000 0.0000 0.0000 . . c 1 1 -0.2351 0.0555 -0.3439 -0.1263 17.94 <.0001 c 2 0 0.0000 0.0000 0.0000 0.0000 . . m 1 1 -6.6209 0.4737 -7.5493 -5.6924 195.35 <.0001 m 2 0 0.0000 0.0000 0.0000 0.0000 . . a*m 1 1 1 4.1251 0.4529 3.2373 5.0128 82.94 <.0001 a*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . . a*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . . a*m 2 2 0 0.0000 0.0000 0.0000 0.0000 . . c*m 1 1 1 3.2243 0.1610 2.9088 3.5398 401.17 <.0001 c*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . . c*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . . c*m 2 2 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. The SAS System 23:24 Sunday, May 6, 2001 14 The GENMOD Procedure Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 909.23958 6.8126086 0.0331594 909.23958 852.02631 970.29471 1.7604167 0.0583816 0.0583628 3.6943343 3.6955258 3.6955255 2 538 1 1 2 438.84043 6.0841359 0.0443546 438.84043 402.30178 478.69767 99.159569 4.7334884 4.5701732 12.362802 12.804587 12.745117 3 44 1 2 1 45.760417 3.8234195 0.1474604 45.760417 34.274523 61.095401 -1.760417 -0.260238 -0.261934 -3.719609 -3.695526 -3.695646 4 456 1 2 2 555.15957 6.3192556 0.0400837 555.15957 513.21405 600.53335 -99.15957 -4.208484 -4.344133 -13.21731 -12.80459 -12.84981 5 3 2 1 1 4.7605793 1.5603694 0.4472646 4.7605793 1.9812876 11.438579 -1.760579 -0.806911 -0.866381 -3.968256 -3.695867 -3.709305 6 43 2 1 2 142.1596 4.9569504 0.0637721 142.1596 125.45653 161.08649 -99.1596 -8.316616 -9.771626 -15.04478 -12.80459 -13.79406 7 2 2 2 1 0.2395915 -1.42882 0.4697772 0.2395915 0.0954105 0.6016536 1.7604085 3.5964807 2.2286882 2.2900544 3.6955086 2.3851964 8 279 2 2 2 179.84045 5.1920701 0.060879 179.84045 159.61256 202.63185 99.159545 7.3941938 6.8353471 11.836825 12.804584 12.490206 The SAS System 23:24 Sunday, May 6, 2001 15 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 1 0.3740 0.3740 Scaled Deviance 1 0.3740 0.3740 Pearson Chi-Square 1 0.4011 0.4011 Scaled Pearson X2 1 0.4011 0.4011 Log Likelihood 12010.6124 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Intercept 1 5.6334 0.0597 5.5164 5.7504 8903.96 <.0001 a 1 1 0.4877 0.0758 0.3392 0.6362 41.44 <.0001 a 2 0 0.0000 0.0000 0.0000 0.0000 . . c 1 1 -1.8867 0.1627 -2.2055 -1.5678 134.47 <.0001 c 2 0 0.0000 0.0000 0.0000 0.0000 . . m 1 1 -5.3090 0.4752 -6.2404 -4.3777 124.82 <.0001 m 2 0 0.0000 0.0000 0.0000 0.0000 . . a*c 1 1 1 2.0545 0.1741 1.7134 2.3957 139.32 <.0001 a*c 1 2 0 0.0000 0.0000 0.0000 0.0000 . . a*c 2 1 0 0.0000 0.0000 0.0000 0.0000 . . a*c 2 2 0 0.0000 0.0000 0.0000 0.0000 . . a*m 1 1 1 2.9860 0.4647 2.0753 3.8968 41.29 <.0001 a*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . . a*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . . a*m 2 2 0 0.0000 0.0000 0.0000 0.0000 . . c*m 1 1 1 2.8479 0.1638 2.5268 3.1690 302.14 <.0001 c*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . . c*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . . c*m 2 2 0 0.0000 0.0000 0.0000 0.0000 . . The SAS System 23:24 Sunday, May 6, 2001 16 The GENMOD Procedure Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Pr > ChiSq Scale 0 1.0000 0.0000 1.0000 1.0000 NOTE: The scale parameter was held fixed. Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 910.38317 6.8138656 0.0331254 910.38317 853.15473 971.45041 0.6168304 0.0204434 0.0204411 0.6332534 0.6333249 0.6333248 2 538 1 1 2 538.61683 6.2890044 0.0430504 538.61683 495.03436 586.03627 -0.61683 -0.026578 -0.026583 -0.633446 -0.633325 -0.633325 3 44 1 2 1 44.61683 3.7981111 0.1481099 44.61683 33.375465 59.644459 -0.61683 -0.092346 -0.09256 -0.634793 -0.633325 -0.633356 4 456 1 2 2 455.38317 6.1211392 0.0468122 455.38317 415.46112 499.14136 0.6168304 0.0289053 0.0288988 0.633182 0.6333249 0.6333246 5 3 2 1 1 3.616831 1.2855982 0.4516316 3.616831 1.4924462 8.7651178 -0.616831 -0.324341 -0.334285 -0.652742 -0.633326 -0.638475 6 43 2 1 2 42.38317 3.7467513 0.1518756 42.38317 31.471445 57.078189 0.6168304 0.0947478 0.0945193 0.631798 0.6333249 0.6332908 7 2 2 2 1 1.3831699 0.3243779 0.476606 1.3831699 0.5434852 3.5201674 0.6168301 0.5244786 0.491342 0.5933111 0.6333247 0.6061677 8 279 2 2 2 279.61683 5.6334202 0.0597008 279.61683 248.74013 314.32632 -0.61683 -0.036888 -0.036901 -0.633558 -0.633325 -0.633326 The SAS System 23:24 Sunday, May 6, 2001 17 The GENMOD Procedure Model Information Data Set WORK.DRUGS Distribution Poisson Link Function Log Dependent Variable count Observations Used 8 Class Level Information Class Levels Values a 2 1 2 c 2 1 2 m 2 1 2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 0 0.0000 . Scaled Deviance 0 0.0000 . Pearson Chi-Square 0 0.0000 . Scaled Pearson X2 0 0.0000 . Log Likelihood 12010.7994 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Confidence Chi- Parameter DF Estimate Error Limits Square Intercept 1 5.6312 0.0599 5.5139 5.7486 8847.24 a 1 1 0.4913 0.0760 0.3423 0.6403 41.78 a 2 0 0.0000 0.0000 0.0000 0.0000 . c 1 1 -1.8700 0.1638 -2.1911 -1.5489 130.29 c 2 0 0.0000 0.0000 0.0000 0.0000 . m 1 1 -4.9381 0.7096 -6.3289 -3.5472 48.42 Analysis Of Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 a 1 <.0001 a 2 . c 1 <.0001 c 2 . m 1 <.0001 The SAS System 23:24 Sunday, May 6, 2001 18 The GENMOD Procedure Analysis Of Parameter Estimates Standard Wald 95% Confidence Chi- Parameter DF Estimate Error Limits Square m 2 0 0.0000 0.0000 0.0000 0.0000 . a*c 1 1 1 2.0354 0.1758 1.6909 2.3799 134.11 a*c 1 2 0 0.0000 0.0000 0.0000 0.0000 . a*c 2 1 0 0.0000 0.0000 0.0000 0.0000 . a*c 2 2 0 0.0000 0.0000 0.0000 0.0000 . a*m 1 1 1 2.5998 0.7270 1.1749 4.0246 12.79 a*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . a*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . a*m 2 2 0 0.0000 0.0000 0.0000 0.0000 . c*m 1 1 1 2.2755 0.9275 0.4577 4.0933 6.02 c*m 1 2 0 0.0000 0.0000 0.0000 0.0000 . c*m 2 1 0 0.0000 0.0000 0.0000 0.0000 . c*m 2 2 0 0.0000 0.0000 0.0000 0.0000 . a*c*m 1 1 1 1 0.5895 0.9424 -1.2575 2.4365 0.39 a*c*m 1 1 2 0 0.0000 0.0000 0.0000 0.0000 . a*c*m 1 2 1 0 0.0000 0.0000 0.0000 0.0000 . a*c*m 1 2 2 0 0.0000 0.0000 0.0000 0.0000 . a*c*m 2 1 1 0 0.0000 0.0000 0.0000 0.0000 . a*c*m 2 1 2 0 0.0000 0.0000 0.0000 0.0000 . a*c*m 2 2 1 0 0.0000 0.0000 0.0000 0.0000 . a*c*m 2 2 2 0 0.0000 0.0000 0.0000 0.0000 . Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Parameter Estimates Parameter Pr > ChiSq m 2 . a*c 1 1 <.0001 a*c 1 2 . a*c 2 1 . a*c 2 2 . a*m 1 1 0.0003 a*m 1 2 . a*m 2 1 . a*m 2 2 . c*m 1 1 0.0141 c*m 1 2 . c*m 2 1 . c*m 2 2 . a*c*m 1 1 1 0.5316 a*c*m 1 1 2 . a*c*m 1 2 1 . a*c*m 1 2 2 . a*c*m 2 1 1 . a*c*m 2 1 2 . a*c*m 2 2 1 . a*c*m 2 2 2 . Scale The SAS System 23:24 Sunday, May 6, 2001 19 The GENMOD Procedure NOTE: The scale parameter was held fixed. Observation Statistics Observation count a c m Pred Xbeta Std HessWgt Lower Upper Resraw Reschi Resdev StResdev StReschi Reslik 1 911 1 1 1 911 6.8145429 0.0331315 911 853.72267 972.12014 -1.48E-12 -4.9E-14 0 0 -2.356E-7 -2.356E-7 2 538 1 1 2 538 6.2878586 0.0431131 538 494.40673 585.43702 -4.55E-13 -1.96E-14 -3.485E-9 . . . 3 44 1 2 1 44 3.7841896 0.1507557 44 32.74381 59.125678 4.547E-13 6.856E-14 2.9451E-9 . . . 4 456 1 2 2 456 6.1224928 0.0468293 456 416.00991 499.83424 -2.61E-12 -1.22E-13 0 0 -7.682E-6 -7.682E-6 5 3 2 1 1 3 1.0986123 0.5773503 3 0.9675643 9.3017078 -4.88E-14 -2.82E-14 0 . . . 6 43 2 1 2 43 3.7612001 0.1524986 43 31.890508 57.979635 1.549E-12 2.362E-13 0 . . . 7 2 2 2 1 2 0.6931472 0.7071068 2 0.5001953 7.9968763 -4.67E-13 -3.3E-13 0 0 -1.841E-6 -1.841E-6 8 279 2 2 2 279 5.6312118 0.0598684 279 248.1099 313.73596 -1.71E-13 -1.02E-14 0 0 -3.519E-7 -3.519E-7