The GENMOD Procedure

Agresti, A. (2002). Categorical Data Analysis. 2nd ed. New York: John Wiley & Sons.

Aitkin, M., Anderson, D. A., Francis, B., and Hinde, J. (1989). Statistical Modelling in GLIM. Oxford: Oxford Science Publications.

Akaike, H. (1979). “A Bayesian Extension of the Minimum AIC Procedure of Autoregressive Model Fitting.” Biometrika 66:237–242.

Akaike, H. (1981). “Likelihood of a Model and Information Criteria.” Journal of Econometrics 16:3–14.

Boos, D. (1992). “On Generalized Score Tests.” American Statistician 46:327–333.

Cameron, A. C., and Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge: Cambridge University Press.

Carey, V., Zeger, S. L., and Diggle, P. J. (1993). “Modelling Multivariate Binary Data with Alternating Logistic Regressions.” Biometrika 80:517–526.

Collett, D. (2003). Modelling Binary Data. 2nd ed. London: Chapman & Hall.

Cook, R. D., and Weisberg, S. (1982). Residuals and Influence in Regression. New York: Chapman & Hall.

Cox, D. R., and Snell, E. J. (1989). The Analysis of Binary Data. 2nd ed. London: Chapman & Hall.

Davison, A. C., and Snell, E. J. (1991). “Residuals and Diagnostics.” In Statistical Theory and Modelling, edited by D. V. Hinkley, N. Reid, and E. J. Snell, 83–106. London: Chapman & Hall.

Diggle, P. J., Liang, K.-Y., and Zeger, S. L. (1994). Analysis of Longitudinal Data. Oxford: Clarendon Press.

Dobson, A. (1990). An Introduction to Generalized Linear Models. London: Chapman & Hall.

Dunn, P. K., and Smyth, G. K. (2005). “Series Evaluation of Tweedie Exponential Dispersion Model Densities.” Statistics and Computing 15:267–280.

Dunn, P. K., and Smyth, G. K. (2008). “Series Evaluation of Tweedie Exponential Dispersion Model Densities by Fourier Inversion.” Statistics and Computing 18:73–86.

Firth, D. (1991). “Generalized Linear Models.” In Statistical Theory and Modelling, edited by D. V. Hinkley, N. Reid, and E. J. Snell, 55–82. London: Chapman & Hall.

Fischl, M. A., Richman, D. D., and Hansen, N. (1990). “The Safety and Efficacy of Zidovudine (AZT) in the Treatment of Subjects with Mildly Symptomatic Human Immunodeficiency Virus Type I (HIV) Infection.” Annals of Internal Medicine 112:727–737.

Gamerman, D. (1997). “Sampling from the Posterior Distribution in Generalized Linear Models.” Statistics and Computing 7:57–68.

Gilks, W. R. (2003). “Adaptive Metropolis Rejection Sampling (ARMS).” Software from MRC Biostatistics Unit, Cambridge, UK. http://www.maths.leeds.ac.uk/~wally.gilks/adaptive.rejection/web_page/Welcome.html.

Gilks, W. R., Best, N. G., and Tan, K. K. C. (1995). “Adaptive Rejection Metropolis Sampling within Gibbs Sampling.” Journal of the Royal Statistical Society, Series C 44:455–472.

Gilks, W. R., Richardson, S., and Spiegelhalter, D. J. (1996). Markov Chain Monte Carlo in Practice. London: Chapman & Hall.

Gilks, W. R., and Wild, P. (1992). “Adaptive Rejection Sampling for Gibbs Sampling.” Journal of the Royal Statistical Society, Series C 41:337–348.

Hardin, J. W., and Hilbe, J. M. (2003). Generalized Estimating Equations. Boca Raton, FL: Chapman & Hall/CRC.

Hilbe, J. M. (1994). “Log Negative Binomial Regression Using the GENMOD Procedure in SAS/STAT Software.” In Proceedings of the Nineteenth Annual SAS Users Group International Conference, 1199–1204. Cary, NC: SAS Institute Inc. http://www.sascommunity.org/sugi/SUGI94/Sugi-94-205%20Hilbe.pdf.

Hilbe, J. M. (2007). Negative Binomial Regression. New York: Cambridge University Press.

Hilbe, J. M. (2009). Logistic Regression Models. London: Chapman & Hall/CRC.

Hirji, K. F., Mehta, C. R., and Patel, N. R. (1987). “Computing Distributions for Exact Logistic Regression.” Journal of the American Statistical Association 82:1110–1117.

Hougaard, P. (1986). “Survival Models for Heterogeneous Populations Derived from Stable Distributions.” Biometrika 73:387–396.

Ibrahim, J. G., Chen, M.-H., and Lipsitz, S. R. (1999). “Monte Carlo EM for Missing Covariates in Parametric Regression Models.” Biometrics 55:591–596.

Ibrahim, J. G., Chen, M.-H., and Sinha, D. (2001). Bayesian Survival Analysis. New York: Springer-Verlag.

Ibrahim, J. G., and Laud, P. W. (1991). “On Bayesian Analysis of Generalized Linear Models Using Jeffreys’ Prior.” Journal of the American Statistical Association 86:981–986.

Lambert, D. (1992). “Zero-Inflated Poisson Regression with an Application to Defects in Manufacturing.” Technometrics 34:1–14.

Lawless, J. F. (1987). “Negative Binomial and Mixed Poisson Regression.” Canadian Journal of Statistics 15:209–225.

Lawless, J. F. (2003). Statistical Model and Methods for Lifetime Data. 2nd ed. New York: John Wiley & Sons.

Liang, K.-Y., and Zeger, S. L. (1986). “Longitudinal Data Analysis Using Generalized Linear Models.” Biometrika 73:13–22.

Lin, D. Y., Wei, L. J., and Ying, Z. (2002). “Model-Checking Techniques Based on Cumulative Residuals.” Biometrics 58:1–12.

Lipsitz, S. R., Fitzmaurice, G. M., Orav, E. J., and Laird, N. M. (1994). “Performance of Generalized Estimating Equations in Practical Situations.” Biometrics 50:270–278.

Lipsitz, S. R., Kim, K., and Zhao, L. (1994). “Analysis of Repeated Categorical Data Using Generalized Estimating Equations.” Statistics in Medicine 13:1149–1163.

Littell, R. C., Freund, R. J., and Spector, P. C. (1991). SAS System for Linear Models. 3rd ed. Cary, NC: SAS Institute Inc.

Long, J. S. (1997). Regression Models for Categorical and Limited Dependent Variables. Thousand Oaks, CA: Sage Publications.

McCullagh, P. (1983). “Quasi-likelihood Functions.” Annals of Statistics 11:59–67.

McCullagh, P., and Nelder, J. A. (1989). Generalized Linear Models. 2nd ed. London: Chapman & Hall.

Meeker, W. Q., and Escobar, L. A. (1998). Statistical Methods for Reliability Data. New York: John Wiley & Sons.

Mehta, C. R., Patel, N. R., and Senchaudhuri, P. (1992). “Exact Stratified Linear Rank Tests for Ordered Categorical and Binary Data.” Journal of Computational and Graphical Statistics 1:21–40.

Miller, M. E., Davis, C. S., and Landis, J. R. (1993). “The Analysis of Longitudinal Polytomous Data: Generalized Estimating Equations and Connections with Weighted Least Squares.” Biometrics 49:1033–1044.

Muller, K. E., and Fetterman, B. A. (2002). Regression and ANOVA: An Integrated Approach Using SAS Software. Cary, NC: SAS Institute Inc.

Myers, R. H., Montgomery, D. C., and Vining, G. G. (2002). Generalized Linear Models with Applications in Engineering and the Sciences. New York: John Wiley & Sons.

Nelder, J. A., and Wedderburn, R. W. M. (1972). “Generalized Linear Models.” Journal of the Royal Statistical Society, Series A 135:370–384.

Nelson, W. (1982). Applied Life Data Analysis. New York: John Wiley & Sons.

Neter, J., Kutner, M. H., Nachtsheim, C. J., and Wasserman, W. (1996). Applied Linear Statistical Models. 4th ed. Chicago: Irwin.

Pan, W. (2001). “Akaike’s Information Criterion in Generalized Estimating Equations.” Biometrics 57:120–125.

Pregibon, D. (1981). “Logistic Regression Diagnostics.” Annals of Statistics 9:705–724.

Preisser, J. S., and Qaqish, B. F. (1996). “Deletion Diagnostics for Generalised Estimating Equations.” Biometrika 83:551–562.

Rao, C. R. (1973). Linear Statistical Inference and Its Applications. 2nd ed. New York: John Wiley & Sons.

Rotnitzky, A., and Jewell, N. P. (1990). “Hypothesis Testing of Regression Parameters in Semiparametric Generalized Linear Models for Cluster Correlated Data.” Biometrika 77:485–497.

Royall, R. M. (1986). “Model Robust Inference Using Maximum Likelihood Estimators.” International Statistical Review 54:221–226.

Searle, S. R. (1971). Linear Models. New York: John Wiley & Sons.

Simonoff, J. S. (2003). Analyzing Categorical Data. New York: Springer-Verlag.

Smyth, G. K. (1996). “Regression Analysis of Quantity Data with Exact Zeros.” In Proceedings of the Second Australia-Japan Workshop on Stochastic Models in Engineering, Technology, and Management, edited by R. J. Wilson, S. Osaki, and D. N. P. Murthy, 572–580. Queensland, Australia: Technology Management Centre, University of Queensland.

Spiegelhalter, D. J., Best, N. G., Carlin, B. P., and Van der Linde, A. (2002). “Bayesian Measures of Model Complexity and Fit.” Journal of the Royal Statistical Society, Series B 64:583–616. With discussion.

Stokes, M. E., Davis, C. S., and Koch, G. G. (2000). Categorical Data Analysis Using the SAS System. 2nd ed. Cary, NC: SAS Institute Inc.

Thall, P. F., and Vail, S. C. (1990). “Some Covariance Models for Longitudinal Count Data with Overdispersion.” Biometrics 46:657–671.

Tweedie, M. C. K. (1984). “An Index Which Distinguishes between Some Important Exponential Families.” In Statistics: Applications and New Directions—Proceedings of the Indian Statistical Institute Golden Jubilee International Conference, edited by J. K. Ghosh, and J. Roy, 579–604. Calcutta: Indian Statistical Institute.

Ware, J. H., Dockery, S. A., III, Speizer, F. E., and Ferris, B. G., Jr. (1984). “Passive Smoking, Gas Cooking, and Respiratory Health of Children Living in Six Cities.” American Review of Respiratory Diseases 129:366–374.

White, H. (1982). “Maximum Likelihood Estimation of Misspecified Models.” Econometrica 50:1–25.

Williams, D. A. (1987). “Generalized Linear Model Diagnostics Using the Deviance and Single Case Deletions.” Journal of the Royal Statistical Society, Series C 36:181–191.

Zeger, S. L., Liang, K.-Y., and Albert, P. S. (1988). “Models for Longitudinal Data: A Generalized Estimating Equation Approach.” Biometrics 44:1049–1060.