------------------------------------------------------------ POISSON REGRESSION ------------------------------------------------------------ Call: glm(formula = y4 ~ logA + logB + trt, family = "poisson", data = seizure) Deviance Residuals: Min 1Q Median 3Q Max -3.61424 -1.12863 0.1963652 0.7722608 3.596213 Coefficients: Value Std. Error t value (Intercept) -3.3826380 0.90002865 -3.758367 logA 0.3752060 0.23394327 1.603833 logB 1.1990485 0.06920587 17.325821 trt -0.1439681 0.10233126 -1.406883 (Dispersion Parameter for Poisson family taken to be 1 ) Null Deviance: 476.2487 on 58 degrees of freedom Residual Deviance: 144.3189 on 55 degrees of freedom Number of Fisher Scoring Iterations: 4 ------------------------------------------------------------ POISSON REGRESSION with Scale Overdispersion ------------------------------------------------------------ Call: glm(formula = y4 ~ logA + logB + trt, family = quasi(link = log, variance = mu), data = seizure) Deviance Residuals: Min 1Q Median 3Q Max -3.61424 -1.12863 0.1963652 0.7722608 3.596213 Coefficients: Value Std. Error t value (Intercept) -3.3826380 1.4103320 -2.3984693 logA 0.3752060 0.3665857 1.0235151 logB 1.1990485 0.1084446 11.0567835 trt -0.1439681 0.1603516 -0.8978273 (Dispersion Parameter for Quasi-likelihood family taken to be 2.455444 ) Null Deviance: 476.2487 on 58 degrees of freedom Residual Deviance: 144.3189 on 55 degrees of freedom Number of Fisher Scoring Iterations: 4 ------------------------------------------------------------ NEGATIVE BINOMIAL REGRESSION ------------------------------------------------------------ Call: glm.nb(formula = y4 ~ logA + logB + trt, data = seizure, init.theta = 5.71243750071843, link = log) Deviance Residuals: Min 1Q Median 3Q Max -2.689207 -0.9382149 -0.02600023 0.4486225 2.111726 Coefficients: Value Std. Error t value (Intercept) -2.6141220 1.3668926 -1.9124560 logA 0.2822893 0.3659949 0.7712929 logB 1.0912501 0.1127404 9.6793160 trt -0.3062523 0.1612007 -1.8998207 (Dispersion Parameter for Negative Binomial family taken to be 1 ) Null Deviance: 197.9498 on 58 degrees of freedom Residual Deviance: 71.59166 on 55 degrees of freedom Number of Fisher Scoring Iterations: 1 Theta: 5.71 Std. Err.: 2.15 2 x log-likelihood: 1216.246 ------------------------------------------------------------ Note: 1/5.71 = 0.1751 ------------------------------------------------------------