The SAS System 1 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=1 ----------------------------------- The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Poisson Link Function Log Dependent Variable wwcount Number of Observations Read 325 Number of Observations Used 325 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 324 565.5192 1.7454 Scaled Deviance 324 565.5192 1.7454 Pearson Chi-Square 324 538.5714 1.6623 Scaled Pearson X2 324 538.5714 1.6623 Log Likelihood -301.9051 Full Log Likelihood -547.9116 AIC (smaller is better) 1097.8232 AICC (smaller is better) 1097.8355 BIC (smaller is better) 1101.6070 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Intercept 1 0.3365 0.0469 0.2446 0.4284 51.51 Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Maximum Likelihood Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 Scale The SAS System 2 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=1 ----------------------------------- The GENMOD Procedure NOTE: The scale parameter was held fixed. The SAS System 3 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=2 ----------------------------------- The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Poisson Link Function Log Dependent Variable wwcount Number of Observations Read 325 Number of Observations Used 325 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 324 356.0635 1.0990 Scaled Deviance 324 356.0635 1.0990 Pearson Chi-Square 324 375.0244 1.1575 Scaled Pearson X2 324 375.0244 1.1575 Log Likelihood -276.1692 Full Log Likelihood -310.4868 AIC (smaller is better) 622.9736 AICC (smaller is better) 622.9860 BIC (smaller is better) 626.7574 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Intercept 1 -0.6840 0.0781 -0.8370 -0.5309 76.72 Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Maximum Likelihood Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 Scale The SAS System 4 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=2 ----------------------------------- The GENMOD Procedure NOTE: The scale parameter was held fixed. The SAS System 5 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=3 ----------------------------------- The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Poisson Link Function Log Dependent Variable wwcount Number of Observations Read 325 Number of Observations Used 325 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 324 452.5490 1.3968 Scaled Deviance 324 452.5490 1.3968 Pearson Chi-Square 324 432.8375 1.3359 Scaled Pearson X2 324 432.8375 1.3359 Log Likelihood -321.2667 Full Log Likelihood -419.1341 AIC (smaller is better) 840.2681 AICC (smaller is better) 840.2805 BIC (smaller is better) 844.0520 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Intercept 1 -0.1598 0.0601 -0.2776 -0.0420 7.07 Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Maximum Likelihood Parameter Estimates Parameter Pr > ChiSq Intercept 0.0078 Scale The SAS System 6 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=3 ----------------------------------- The GENMOD Procedure NOTE: The scale parameter was held fixed. The SAS System 7 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=4 ----------------------------------- The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Poisson Link Function Log Dependent Variable wwcount Number of Observations Read 325 Number of Observations Used 325 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 324 346.3088 1.0689 Scaled Deviance 324 346.3088 1.0689 Pearson Chi-Square 324 409.2836 1.2632 Scaled Pearson X2 324 409.2836 1.2632 Log Likelihood -252.7220 Full Log Likelihood -281.2067 AIC (smaller is better) 564.4135 AICC (smaller is better) 564.4259 BIC (smaller is better) 568.1973 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Intercept 1 -0.8860 0.0864 -1.0553 -0.7167 105.19 Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Maximum Likelihood Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 Scale The SAS System 8 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=4 ----------------------------------- The GENMOD Procedure NOTE: The scale parameter was held fixed. The SAS System 9 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=1 ----------------------------------- The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Negative Binomial Link Function Log Dependent Variable wwcount Number of Observations Read 325 Number of Observations Used 325 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 324 360.3001 1.1120 Scaled Deviance 324 360.3001 1.1120 Pearson Chi-Square 324 310.8669 0.9595 Scaled Pearson X2 324 310.8669 0.9595 Log Likelihood -277.9959 Full Log Likelihood -524.0024 AIC (smaller is better) 1052.0047 AICC (smaller is better) 1052.0420 BIC (smaller is better) 1059.5724 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Intercept 1 0.3365 0.0617 0.2155 0.4574 29.73 Dispersion 1 0.5232 0.1132 0.3424 0.7995 Analysis Of Maximum Likelihood Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 Dispersion The SAS System 10 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=1 ----------------------------------- The GENMOD Procedure NOTE: The negative binomial dispersion parameter was estimated by maximum likelihood. The SAS System 11 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=2 ----------------------------------- The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Negative Binomial Link Function Log Dependent Variable wwcount Number of Observations Read 325 Number of Observations Used 325 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 324 306.9436 0.9474 Scaled Deviance 324 306.9436 0.9474 Pearson Chi-Square 324 321.3640 0.9919 Scaled Pearson X2 324 321.3640 0.9919 Log Likelihood -274.4400 Full Log Likelihood -308.7575 AIC (smaller is better) 621.5151 AICC (smaller is better) 621.5523 BIC (smaller is better) 629.0827 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Intercept 1 -0.6840 0.0844 -0.8493 -0.5186 65.74 Dispersion 1 0.3309 0.2107 0.0950 1.1526 Analysis Of Maximum Likelihood Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 Dispersion The SAS System 12 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=2 ----------------------------------- The GENMOD Procedure NOTE: The negative binomial dispersion parameter was estimated by maximum likelihood. The SAS System 13 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=3 ----------------------------------- The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Negative Binomial Link Function Log Dependent Variable wwcount Number of Observations Read 325 Number of Observations Used 325 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 324 341.1353 1.0529 Scaled Deviance 324 341.1353 1.0529 Pearson Chi-Square 324 310.2752 0.9576 Scaled Pearson X2 324 310.2752 0.9576 Log Likelihood -313.4917 Full Log Likelihood -411.3590 AIC (smaller is better) 826.7180 AICC (smaller is better) 826.7553 BIC (smaller is better) 834.2857 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Intercept 1 -0.1598 0.0710 -0.2989 -0.0207 5.07 Dispersion 1 0.4635 0.1545 0.2412 0.8906 Analysis Of Maximum Likelihood Parameter Estimates Parameter Pr > ChiSq Intercept 0.0243 Dispersion The SAS System 14 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=3 ----------------------------------- The GENMOD Procedure NOTE: The negative binomial dispersion parameter was estimated by maximum likelihood. The SAS System 15 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=4 ----------------------------------- The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Negative Binomial Link Function Log Dependent Variable wwcount Number of Observations Read 325 Number of Observations Used 325 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 324 268.4257 0.8285 Scaled Deviance 324 268.4257 0.8285 Pearson Chi-Square 324 317.3569 0.9795 Scaled Pearson X2 324 317.3569 0.9795 Log Likelihood -248.3110 Full Log Likelihood -276.7957 AIC (smaller is better) 557.5914 AICC (smaller is better) 557.6287 BIC (smaller is better) 565.1591 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Intercept 1 -0.8860 0.0981 -1.0783 -0.6937 81.56 Dispersion 1 0.7025 0.3120 0.2942 1.6776 Analysis Of Maximum Likelihood Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 Dispersion The SAS System 16 13:16 Tuesday, March 20, 2018 ---------------------------------- trt=4 ----------------------------------- The GENMOD Procedure NOTE: The negative binomial dispersion parameter was estimated by maximum likelihood.