The SAS System 14:46 Wednesday, March 1, 2000 1 The FREQ Procedure Table of BA by TDZ BA TDZ Frequency| Percent | Row Pct | Col Pct | 0| 0.2| 2| 20| Total ---------+--------+--------+--------+--------+ 0 | 16 | 14 | 16 | 16 | 62 | 9.47 | 8.28 | 9.47 | 9.47 | 36.69 | 25.81 | 22.58 | 25.81 | 25.81 | | 36.36 | 30.43 | 34.04 | 50.00 | ---------+--------+--------+--------+--------+ 0.44 | 15 | 16 | 16 | 16 | 63 | 8.88 | 9.47 | 9.47 | 9.47 | 37.28 | 23.81 | 25.40 | 25.40 | 25.40 | | 34.09 | 34.78 | 34.04 | 50.00 | ---------+--------+--------+--------+--------+ 4.4 | 13 | 16 | 15 | 0 | 44 | 7.69 | 9.47 | 8.88 | 0.00 | 26.04 | 29.55 | 36.36 | 34.09 | 0.00 | | 29.55 | 34.78 | 31.91 | 0.00 | ---------+--------+--------+--------+--------+ Total 44 46 47 32 169 26.04 27.22 27.81 18.93 100.00 Table of nonzero by TDZ nonzero TDZ Frequency | Cell Chi-Square| Row Pct | Col Pct | 0| 0.2| 2| 20| Total ---------------+--------+--------+--------+--------+ 0 | 33 | 30 | 30 | 23 | 116 | 0.2594 | 0.0785 | 0.1584 | 0.0488 | | 28.45 | 25.86 | 25.86 | 19.83 | | 75.00 | 65.22 | 63.83 | 71.88 | ---------------+--------+--------+--------+--------+ 1 | 11 | 16 | 17 | 9 | 53 | 0.5677 | 0.1717 | 0.3466 | 0.1068 | | 20.75 | 30.19 | 32.08 | 16.98 | | 25.00 | 34.78 | 36.17 | 28.13 | ---------------+--------+--------+--------+--------+ Total 44 46 47 32 169 Statistics for Table of nonzero by TDZ Statistic DF Value Prob ------------------------------------------------------ Chi-Square 3 1.7379 0.6285 Likelihood Ratio Chi-Square 3 1.7590 0.6239 Mantel-Haenszel Chi-Square 1 0.1197 0.7293 Phi Coefficient 0.1014 Contingency Coefficient 0.1009 Cramer's V 0.1014 Sample Size = 169 Table 1 of nonzero by TDZ Controlling for BA=0 nonzero TDZ Frequency | Cell Chi-Square| 0| 0.2| 2| 20| Total ---------------+--------+--------+--------+--------+ 0 | 15 | 6 | 10 | 11 | 42 | 1.5976 | 1.2798 | 0.0649 | 0.0024 | ---------------+--------+--------+--------+--------+ 1 | 1 | 8 | 6 | 5 | 20 | 3.355 | 2.6876 | 0.1363 | 0.005 | ---------------+--------+--------+--------+--------+ Total 16 14 16 16 62 Statistics for Table 1 of nonzero by TDZ Controlling for BA=0 Statistic DF Value Prob ------------------------------------------------------ Chi-Square 3 9.1287 0.0276 Likelihood Ratio Chi-Square 3 10.3236 0.0160 Mantel-Haenszel Chi-Square 1 0.0007 0.9784 Phi Coefficient 0.3837 Contingency Coefficient 0.3582 Cramer's V 0.3837 Sample Size = 62 Table 2 of nonzero by TDZ Controlling for BA=0.44 nonzero TDZ Frequency | Cell Chi-Square| 0| 0.2| 2| 20| Total ---------------+--------+--------+--------+--------+ 0 | 9 | 11 | 9 | 12 | 41 | 0.0595 | 0.0331 | 0.1917 | 0.242 | ---------------+--------+--------+--------+--------+ 1 | 6 | 5 | 7 | 4 | 22 | 0.1108 | 0.0617 | 0.3572 | 0.4509 | ---------------+--------+--------+--------+--------+ Total 15 16 16 16 63 Statistics for Table 2 of nonzero by TDZ Controlling for BA=0.44 Statistic DF Value Prob ------------------------------------------------------ Chi-Square 3 1.5069 0.6807 Likelihood Ratio Chi-Square 3 1.5263 0.6762 Mantel-Haenszel Chi-Square 1 0.8183 0.3657 Phi Coefficient 0.1547 Contingency Coefficient 0.1528 Cramer's V 0.1547 Sample Size = 63 Table 3 of nonzero by TDZ Controlling for BA=4.4 nonzero TDZ Frequency | Cell Chi-Square| 0| 0.2| 2| 20| Total ---------------+--------+--------+--------+--------+ 0 | 9 | 13 | 11 | 0 | 33 | 0.0577 | 0.0833 | 0.0056 | . | ---------------+--------+--------+--------+--------+ 1 | 4 | 3 | 4 | 0 | 11 | 0.1731 | 0.25 | 0.0167 | . | ---------------+--------+--------+--------+--------+ Total 13 16 15 0 44 Statistics for Table 3 of nonzero by TDZ Controlling for BA=4.4 Row or column sum zero. No statistics computed for this table. Sample Size = 44 The SAS System 14:46 Wednesday, March 1, 2000 2 The GENMOD Procedure Model Information Data Set WORK.DAT Distribution Binomial Link Function Logit Dependent Variable nonzero Observations Used 169 Number Of Events 53 Number Of Trials 169 Class Level Information Class Levels Values BA 3 0 4.4 0.44 TDZ 4 0 2 20 0.2 nonzero 2 0 1 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 158 196.5257 1.2438 Scaled Deviance 158 196.5257 1.2438 Pearson Chi-Square 158 169.0000 1.0696 Scaled Pearson X2 158 169.0000 1.0696 Log Likelihood -98.2628 Algorithm converged. Analysis Of Parameter Estimates Wald 95% Standard Confidence Limits Chi- Parameter DF Estimate Error Lower Upper Square Intercept 1 -0.7885 0.5394 -1.8456 0.2687 2.14 BA 0 1 1.0761 0.7633 -0.4198 2.5721 1.99 BA 4.4 1 -0.6779 0.8374 -2.3191 0.9633 0.66 BA 0.44 0 0.0000 0.0000 0.0000 0.0000 . TDZ 0 1 0.3830 0.7541 -1.0950 1.8610 0.26 TDZ 2 1 0.5371 0.7382 -0.9096 1.9839 0.53 TDZ 20 1 -0.3102 0.7901 -1.8587 1.2384 0.15 TDZ 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0 0 1 -3.3787 1.3882 -6.0995 -0.6580 5.92 BA*TDZ 0 2 1 -1.3357 1.0503 -3.3943 0.7230 1.62 BA*TDZ 0 20 1 -0.7660 1.0986 -2.9191 1.3871 0.49 BA*TDZ 0 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 4.4 0 1 0.2724 1.1576 -1.9965 2.5413 0.06 BA*TDZ 4.4 2 1 -0.0824 1.1384 -2.3137 2.1489 0.01 BA*TDZ 4.4 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 0 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 20 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 0.2 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 Intercept 0.1438 BA 0 0.1586 BA 4.4 0.4182 BA 0.44 . TDZ 0 0.6115 TDZ 2 0.4668 TDZ 20 0.6946 TDZ 0.2 . BA*TDZ 0 0 0.0149 BA*TDZ 0 2 0.2035 BA*TDZ 0 20 0.4856 BA*TDZ 0 0.2 . BA*TDZ 4.4 0 0.8140 BA*TDZ 4.4 2 0.9423 BA*TDZ 4.4 0.2 . BA*TDZ 0.44 0 . BA*TDZ 0.44 2 . BA*TDZ 0.44 20 . BA*TDZ 0.44 0.2 . Scale NOTE: The scale parameter was held fixed. LR Statistics For Type 1 Analysis Chi- Source Deviance DF Square Pr > ChiSq Intercept 210.2219 BA 208.9728 2 1.25 0.5355 TDZ 206.7073 3 2.27 0.5192 BA*TDZ 196.5257 5 10.18 0.0702 LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq BA 2 1.40 0.4956 TDZ 3 2.68 0.4443 BA*TDZ 5 10.18 0.0702 The SAS System 14:46 Wednesday, March 1, 2000 3 The GENMOD Procedure Model Information Data Set WORK.DAT Distribution Poisson Link Function Log Dependent Variable advplt Observations Used 169 Class Level Information Class Levels Values BA 3 0 4.4 0.44 TDZ 4 0 2 20 0.2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 158 730.5900 4.6240 Scaled Deviance 158 730.5900 4.6240 Pearson Chi-Square 158 970.8049 6.1443 Scaled Pearson X2 158 970.8049 6.1443 Log Likelihood -23.4102 Algorithm converged. Analysis Of Parameter Estimates Wald 95% Standard Confidence Limits Chi- Parameter DF Estimate Error Lower Upper Square Intercept 1 0.5596 0.1890 0.1892 0.9300 8.77 BA 0 1 1.2321 0.2182 0.8044 1.6598 31.88 BA 4.4 1 -0.8473 0.3450 -1.5235 -0.1710 6.03 BA 0.44 0 0.0000 0.0000 0.0000 0.0000 . TDZ 0 1 -0.1766 0.2849 -0.7350 0.3818 0.38 TDZ 2 1 -0.0364 0.2697 -0.5650 0.4923 0.02 TDZ 20 1 -1.3863 0.4226 -2.2145 -0.5581 10.76 TDZ 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0 0 1 -4.3877 1.0455 -6.4369 -2.3386 17.61 BA*TDZ 0 2 1 -1.8889 0.3951 -2.6633 -1.1146 22.86 BA*TDZ 0 20 1 0.2559 0.4719 -0.6691 1.1809 0.29 BA*TDZ 0 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 4.4 0 1 1.8696 0.4282 1.0304 2.7089 19.06 BA*TDZ 4.4 2 1 0.6117 0.4540 -0.2780 1.5015 1.82 BA*TDZ 4.4 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 0 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 20 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 0.2 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 Intercept 0.0031 BA 0 <.0001 BA 4.4 0.0141 BA 0.44 . TDZ 0 0.5353 TDZ 2 0.8927 TDZ 20 0.0010 TDZ 0.2 . BA*TDZ 0 0 <.0001 BA*TDZ 0 2 <.0001 BA*TDZ 0 20 0.5876 BA*TDZ 0 0.2 . BA*TDZ 4.4 0 <.0001 BA*TDZ 4.4 2 0.1778 BA*TDZ 4.4 0.2 . BA*TDZ 0.44 0 . BA*TDZ 0.44 2 . BA*TDZ 0.44 20 . BA*TDZ 0.44 0.2 . Scale NOTE: The scale parameter was held fixed. LR Statistics For Type 1 Analysis Chi- Source Deviance DF Square Pr > ChiSq Intercept 940.5837 BA 928.9964 2 11.59 0.0030 TDZ 896.2815 3 32.71 <.0001 BA*TDZ 730.5900 5 165.69 <.0001 LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq BA 2 3.97 0.1375 TDZ 3 18.81 0.0003 BA*TDZ 5 165.69 <.0001 The SAS System 14:46 Wednesday, March 1, 2000 4 The GENMOD Procedure Model Information Data Set WORK.DAT Distribution Poisson Link Function Log Dependent Variable advplt Observations Used 169 Class Level Information Class Levels Values BA 3 0 4.4 0.44 TDZ 4 0 2 20 0.2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 158 730.5900 4.6240 Scaled Deviance 158 730.5900 4.6240 Pearson Chi-Square 158 970.8049 6.1443 Scaled Pearson X2 158 970.8049 6.1443 Log Likelihood -23.4102 Algorithm converged. Analysis Of Parameter Estimates Wald 95% Standard Confidence Limits Chi- Parameter DF Estimate Error Lower Upper Square Intercept 1 0.5596 0.1890 0.1892 0.9300 8.77 BA 0 1 1.2321 0.2182 0.8044 1.6598 31.88 BA 4.4 1 -0.8473 0.3450 -1.5235 -0.1710 6.03 BA 0.44 0 0.0000 0.0000 0.0000 0.0000 . TDZ 0 1 -0.1766 0.2849 -0.7350 0.3818 0.38 TDZ 2 1 -0.0364 0.2697 -0.5650 0.4923 0.02 TDZ 20 1 -1.3863 0.4226 -2.2145 -0.5581 10.76 TDZ 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0 0 1 -4.3877 1.0455 -6.4369 -2.3386 17.61 BA*TDZ 0 2 1 -1.8889 0.3951 -2.6633 -1.1146 22.86 BA*TDZ 0 20 1 0.2559 0.4719 -0.6691 1.1809 0.29 BA*TDZ 0 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 4.4 0 1 1.8696 0.4282 1.0304 2.7089 19.06 BA*TDZ 4.4 2 1 0.6117 0.4540 -0.2780 1.5015 1.82 BA*TDZ 4.4 0.2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 0 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 2 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 20 0 0.0000 0.0000 0.0000 0.0000 . BA*TDZ 0.44 0.2 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 Intercept 0.0031 BA 0 <.0001 BA 4.4 0.0141 BA 0.44 . TDZ 0 0.5353 TDZ 2 0.8927 TDZ 20 0.0010 TDZ 0.2 . BA*TDZ 0 0 <.0001 BA*TDZ 0 2 <.0001 BA*TDZ 0 20 0.5876 BA*TDZ 0 0.2 . BA*TDZ 4.4 0 <.0001 BA*TDZ 4.4 2 0.1778 BA*TDZ 4.4 0.2 . BA*TDZ 0.44 0 . BA*TDZ 0.44 2 . BA*TDZ 0.44 20 . BA*TDZ 0.44 0.2 . Scale NOTE: The scale parameter was held fixed. The SAS System 14:46 Wednesday, March 1, 2000 5 The GENMOD Procedure Model Information Data Set WORK.DAT Distribution Poisson Link Function Log Dependent Variable advplt Observations Used 169 Class Level Information Class Levels Values trt 11 0 1 2 3 4 5 6 7 8 9 10 Parameter Information Parameter Effect trt Prm1 Intercept Prm2 trt 0 Prm3 trt 1 Prm4 trt 2 Prm5 trt 3 Prm6 trt 4 Prm7 trt 5 Prm8 trt 6 Prm9 trt 7 Prm10 trt 8 Prm11 trt 9 Prm12 trt 10 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 158 730.5900 4.6240 Scaled Deviance 158 730.5900 4.6240 Pearson Chi-Square 158 970.8049 6.1443 Scaled Pearson X2 158 970.8049 6.1443 Log Likelihood -23.4102 Algorithm converged. Analysis Of Parameter Estimates Wald 95% Standard Confidence Limits Chi- Parameter DF Estimate Error Lower Upper Square Pr > ChiSq Intercept 0 0.0000 0.0000 0.0000 0.0000 . . trt 0 1 -2.7726 1.0000 -4.7325 -0.8126 7.69 0.0056 trt 1 1 1.7918 0.1091 1.5779 2.0056 269.67 <.0001 trt 2 1 -0.1335 0.2673 -0.6574 0.3903 0.25 0.6173 trt 3 1 0.6614 0.1796 0.3094 1.0134 13.56 0.0002 trt 4 1 0.3830 0.2132 -0.0349 0.8009 3.23 0.0724 trt 5 1 0.5596 0.1890 0.1892 0.9300 8.77 0.0031 trt 6 1 0.5232 0.1925 0.1461 0.9004 7.39 0.0066 trt 7 1 -0.8267 0.3780 -1.5675 -0.0859 4.78 0.0287 trt 8 1 1.4053 0.1374 1.1361 1.6746 104.67 <.0001 trt 9 1 -0.2877 0.2887 -0.8535 0.2781 0.99 0.3190 trt 10 1 0.2877 0.2236 -0.1506 0.7259 1.66 0.1983 Scale 0 1.0000 0.0000 1.0000 1.0000 NOTE: The scale parameter was held fixed. Lagrange Multiplier Statistics Parameter Chi-Square Pr > ChiSq Intercept . . Least Squares Means Standard Chi- Effect trt Estimate Error DF Square Pr > ChiSq trt 0 -2.7726 1.0000 1 7.69 0.0056 trt 1 1.7918 0.1091 1 269.67 <.0001 trt 2 -0.1335 0.2673 1 0.25 0.6173 trt 3 0.6614 0.1796 1 13.56 0.0002 trt 4 0.3830 0.2132 1 3.23 0.0724 trt 5 0.5596 0.1890 1 8.77 0.0031 trt 6 0.5232 0.1925 1 7.39 0.0066 trt 7 -0.8267 0.3780 1 4.78 0.0287 trt 8 1.4053 0.1374 1 104.67 <.0001 trt 9 -0.2877 0.2887 1 0.99 0.3190 trt 10 0.2877 0.2236 1 1.66 0.1983 Differences of Least Squares Means Standard Chi- Effect trt _trt Estimate Error DF Square Pr > ChiSq trt 0 1 -4.5643 1.0059 1 20.59 <.0001 trt 0 2 -2.6391 1.0351 1 6.50 0.0108 trt 0 3 -3.4340 1.0160 1 11.42 0.0007 trt 0 4 -3.1556 1.0225 1 9.52 0.0020 trt 0 5 -3.3322 1.0177 1 10.72 0.0011 trt 0 6 -3.2958 1.0183 1 10.47 0.0012 trt 0 7 -1.9459 1.0690 1 3.31 0.0687 trt 0 8 -4.1779 1.0094 1 17.13 <.0001 trt 0 9 -2.4849 1.0408 1 5.70 0.0170 trt 0 10 -3.0603 1.0247 1 8.92 0.0028 trt 1 2 1.9253 0.2887 1 44.48 <.0001 trt 1 3 1.1304 0.2101 1 28.93 <.0001 trt 1 4 1.4088 0.2395 1 34.60 <.0001 trt 1 5 1.2321 0.2182 1 31.88 <.0001 trt 1 6 1.2685 0.2212 1 32.88 <.0001 trt 1 7 2.6184 0.3934 1 44.30 <.0001 trt 1 8 0.3864 0.1754 1 4.85 0.0276 trt 1 9 2.0794 0.3086 1 45.40 <.0001 trt 1 10 1.5041 0.2488 1 36.54 <.0001 trt 2 3 -0.7949 0.3220 1 6.09 0.0136 trt 2 4 -0.5165 0.3419 1 2.28 0.1308 trt 2 5 -0.6931 0.3273 1 4.48 0.0342 trt 2 6 -0.6568 0.3293 1 3.98 0.0461 trt 2 7 0.6931 0.4629 1 2.24 0.1343 trt 2 8 -1.5389 0.3005 1 26.23 <.0001 trt 2 9 0.1542 0.3934 1 0.15 0.6952 trt 2 10 -0.4212 0.3485 1 1.46 0.2268 trt 3 4 0.2784 0.2788 1 1.00 0.3179 trt 3 5 0.1018 0.2607 1 0.15 0.6962 trt 3 6 0.1382 0.2632 1 0.28 0.5997 trt 3 7 1.4881 0.4185 1 12.65 0.0004 trt 3 8 -0.7439 0.2261 1 10.83 0.0010 trt 3 9 0.9491 0.3400 1 7.79 0.0052 trt 3 10 0.3737 0.2868 1 1.70 0.1926 trt 4 5 -0.1766 0.2849 1 0.38 0.5353 trt 4 6 -0.1403 0.2872 1 0.24 0.6253 trt 4 7 1.2097 0.4339 1 7.77 0.0053 trt 4 8 -1.0224 0.2536 1 16.25 <.0001 trt 4 9 0.6707 0.3589 1 3.49 0.0616 trt 4 10 0.0953 0.3090 1 0.10 0.7577 trt 5 6 0.0364 0.2697 1 0.02 0.8927 trt 5 7 1.3863 0.4226 1 10.76 0.0010 trt 5 8 -0.8457 0.2336 1 13.10 0.0003 trt 5 9 0.8473 0.3450 1 6.03 0.0141 trt 5 10 0.2719 0.2928 1 0.86 0.3530 trt 6 7 1.3499 0.4241 1 10.13 0.0015 trt 6 8 -0.8821 0.2364 1 13.92 0.0002 trt 6 9 0.8109 0.3469 1 5.46 0.0194 trt 6 10 0.2356 0.2950 1 0.64 0.4246 trt 7 8 -2.2320 0.4022 1 30.80 <.0001 trt 7 9 -0.5390 0.4756 1 1.28 0.2571 trt 7 10 -1.1144 0.4392 1 6.44 0.0112 trt 8 9 1.6930 0.3197 1 28.05 <.0001 trt 8 10 1.1177 0.2624 1 18.14 <.0001 trt 9 10 -0.5754 0.3651 1 2.48 0.1151