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1 CountDataBiblio.doc 2005, Timothy G. Gregoire, Yale University Last revised: August 25, 2005 Count Data Bibliography 1. Min, Y. & A. Agresti (2005) Random effect models for repeated measures of zero-inflated count data Statistical Modeling, 5: Fletcher, D., D. MacKenzie, and E. Villouta. (2005) Modelling skewed data with many zeroes: a simple approach combining ordinary and logistic regression Environmental and Ecological Statistics, 12: Waarton, D. (2005) Many zeros does not mean zero inflation: com- paring the goodness-of-fit of parametric models to multivariate abundance data Environmetrics, 16: Ferrari, S. & F. Cribari-Neto (2004) Beta Regression for Modelling Rates and Proportions Journal of Applied Statistics, 31:7: Hall, D. B. and Z. Zhang. (2004) Marginal models for zero-inflated clustered data Statistical Modelling, 4: Ugarte, M.D., B. Ibanez, & A.F. Militino. (2004) Testing for Poisson Zero Inflation in Disease Mapping Biometrical Journal, 46:5, Poston, D.L. Jr. & S.L.McKibben. (2003) Using Zero-inflated Count Regression Models To Estimate The Fertility of U.S. Women Journal of Modern Applied Statistical Methods, Vol. 2, #2, Astuti, E.T. l& T. Yanagawa. (2002) Testing Trend for Count Data with Extra-Poisson Variability Biometrics, 58 (2), pp King, G. (2002) COUNT: A Program for Estimating Event Count and Duration Regressions. 10. Min, Y. & A. Agresti. (2002) Modeling Nonnegative Data with Clumping at Zero: A Survey Journal of the Iranian Statistical Society, pp Podlich, H., M. Faddy, & G. Smyth. (2002) A General Approach to Modeling and Analysis of Species Abundance Data With Extra Zeros Journal of Agricultural, Biological, and Environmental Statistics, Vol. 7, # 3, pp Agresti, A. & R. Natarajan. (2001) Modeling Clustered Ordered Categorical Data: A Survey International Statistical Review, pp

2 2 13. Dobbie, M. & A. Welsh. (2001) Models for zero-inflated count data using the Neyman type A distribution Statistical Modelling, 1: Faddy, M. & R.Bosch (2001) Likelihood-Based Modeling and Analysis of Data Underdispersed Relative to the Poisson Distribution Biometrics, 57: Moore, D., C.Park, & W. Smith. (2001) Exploring Extra-Binomial Variation in Teratology Data Using Continuous Mixtures Biometrics, 57: Lee, Y. & J.A. Nelder. (2000) Two ways of modeling overdispersion in non-normal data Applied Statistics, 49 (part 4) pp Slaton, T.L., W.W. Piegorsch & S.D. Durham. (2000) Estimation and Testing with Overdispersed Proportions Using the Beta-Logistic Regression Model of Heckman and Willis Biometrics 56: Brandt, P. & J. Williams. (1999) Time Series Models for Event Count Data. pp Dai, J. & D.Rocke. (1999) Modeling Spatial Variation in Area Source Emissions Journal of Agricultural, Biological and Environmental Statistics, Vol. 5, # 1, pp Gumpertz, M.L., C. Wu & J.M. Pye. (1999) Logistic Regression for Southern Pine Beetle Outbreaks with Spatial and Temporal Autocorrelation Forest Science, Vol. 46, #1, pp King, G., O. Rosen & M. Tanner. (1999) Binomial-Beta Hierarchical Models for Ecological Inference Sociological Methods & Research, Vol. 28, # 1, pp Lindsey, J.K. (1999) Response Surfaces for Overdispersion in the Study of the Conditions for Fish Eggs Hatching Biometrics, 55: Rao, J.N.K. & A.J. Scott. (1999) A Simple Method for Analysing Overdispersion in Clustered Poisson Data Statistics in Medicine, 18: Tempelman, R.J. & D. Gianola. (1999) Genetics and Breeding Journal of Dairy Science, 82: Wiens, B.L. (1999) When Log-Normal and Gamma Models Give Different Results: A Case Study American Statistician, Vol. 53, #2, pp Young, L., N.Campbell & G. Capuano. (1999) Analysis of Overdispersed Count Data from Single-Factor Experiments: A Comparative Study Journal of Agricultural, Biological & Environmental Statistics, Vol. 4, #3,

3 3 25. Have, T.R.T. & V.M. Chinchilli. (1998) Two-Stage Negative Binomial and Overdispersed Poisson Models for Clustered Developmental Toxicity Data with Random Cluster Size Journal of Agricultural, Biological & Environmental Statistics, Vol. 3, #1, pp Mullahy, J. (1998) Much ado about two: reconsidering retransformation and the two-part model in health econometrics Journal of Health Economics, 17: Fitzmaurice, G.M., A.F. Heath & D.R. Cox. (1997) Detecting Overdispersion in Large Scale Surveys: Application to a Study of Education and Social Class in Britain Applied Statistics, 46, #4, pp Mullahy, J. (1997) Heterogeneity, Excess Zeros, and the Structure of Count Data Models Journal of Applied Econometrics, 12: Mullahy, J. (1997) Instrumental-Variable Estimation of Count Data Models: Applications To Models Of Cigarette Smoking Behavior The Review of Economics and Statistics,, pp Aitkin, M. (1996) A general maximum likelihood analysis of overdispersion in generalized linear models Statistics & Computing, 6: Piegorsch, W.W. & G. Casella. (1996) Empirical Bayes Estimation for Logistic Regression and Extended Parametric Regression Models Journal of Agricultural, Biological & Environmental Statistics, Vol. 1, #2, pp Tempelman, R.J. & D. Gianola. (1996) A Mixed Effects Model for Over- Dispersed Count Data in Animal Breeding Biometrics, 52: Welsh, A.H., R.Cunningham, C.Donnelly, & D. Lindenmayer. (1996) Modelling the abundance of rare species: statistical models for counts with extra zeros Ecological Modelling, 88: White, G.C. & R. Bennetts. (1995) Analysis of Frequency Count Data Using Negative Binomial Distribution Ecology, 77(8) pp Luceno, A. (1995) A family of partially correlated Poisson models for overdispersion Computational Statistics & Data Analysis, 20: Congdon, P. (1994) Spatiotemporal analysis of area mortality The Statistician, 43, #4, pp Gaylor, D.W. (1994) Dose Response Modeling Development Toxicology, 2 nd Ed., New York: Raven Press.

4 4 38. Haseman, J.K. & W.W Piegorsch. (1994) Statistical Analysis of Developmental Toxicity Data Development Toxicology, 2 nd Ed., New York: Raven Press. 39. Liang, K-Y & J. Hanfelt. (1994) On the Use of the Quasi-Likelihood Method in Teratological Experiments Biometrics, 50: Boos, D. (1993) Analysis of Dose-Response Data in the Presence of Extrabinomial Variation Applied Statistics, Vol. 42, # 1, pp Liang. L-Y & P. McCullagh. (1993) The Consultant s Forum: Case Studies in Binary Dispersion Biometrics, 49, Dean, C. (1992) Testing for Overdispersion in Poisson and Binormal Models Journal of the American Statistical Association, Vol. 87, #418, pp Morgan, B. (1992) Analysis of Quantal Response Data London: Chapman and Hall (QH M67X). 44. Piegorsch, W.W. (1992) Complementary Log Regression for Generalized Linear Models The American Statistician, Vol. 46, #2, pp Grogger, J. & R. Carson. (1991) Models for Truncated Counts Journal of Applied Econometrics, 6: Kodell, R.L., R.B. Howe, J.J. Chen & D.W. Gaylor. (1991) Mathematical Modeling of Reproductive and Developmental Toxic Effects for Quantitative Risk Assessment Risk Analysis, Vol. 11, #4, pp Seaman, J. & R.Jaeger (1990) Statisticae Dogmaticae: A Critical Essay on Statistical Practice in Ecology Herpetologica, 46(3), pp Cameron, A. & P.Trivedi. (1990) Regression-based Tests for Overdispersion in the Poisson Model Journal of Econometrics, 46: Dean, C. & J.Lawless (1989) Tests for Detecting Overdispersion in Poisson Regression Models Journal of the American Statistical Association, Vol. 84, # 406, pp King, G. (1989) Variance Specification in Even Count Models: From Restrictive Assumptions to a Generalized Estimator American Journal of Political Science, Vol. 33, No.3, pp

5 5 51. King, G. (1989) A Seemingly Unrelated Poisson Regression Model Sociological Methods & Research, Vol. 17, #3, King, G. (1989) Event Count Models for International Relations: Generalizations and Applications International Studies Quarterly, 33: Firth, D. (1988) Multiplicative Errors: Log-normal or Gamma? Journal of. the Royal Statistical Society, 50, #2, pp Zeger, S.L. (1998) A regression model for time series of counts Biometrika 75, #4, pp Morton, R. (1987) A generalized linear model with nested strata of extra- Poisson variation Biometrika, 74, #2, pp Williams, D.A. (1987) Dose Response Models for Teratological Experiments Biometrics, 43: Cameron, A.C. & P.Trivedi. (1986) Econometric Models Based on Count Data: Comparisons and Applications of Some Estimators and Tests Journal of Applied Econometrics, Vol. 1, issue 1, pp Lee, L-F. (1986) Specification Test for Poisson Regression Models International Economic Review, Vol. 27, # 3, pp Mullahy, J. (1986) Specification and Testing of Some Modified Count Data Models Journal of Econometrics, 33: Johnson, & Katz (19 ) Poisson Distribution Enc of Statistics, Chapter 4, pp Rai, K. & J. Van Ryzin. (1985) A Dose-Response Model for Teratological Experiments Involving Quantal Responses Biometrics, 41, Esterby, S.R. & A.H. El-Shaarawi. (1984) Coliform concentrations in Lake Erie Hydrobiologia, 111, pp Breslow, N. (1984) Extra-Poisson Variation in Log-linear Models Applied Statistics, Vol. 33, # 1, pp Gourieroux, A. A. Monfort, & A. Trognon. (1984) Pseudo Maximums Likelihood Methods: Applications to Poisson Models Econometrica, Vol. 52, #3, pp Cox, D.R. (1982) Some remarks on overdispersion Biometrika, 70, #1,

6 6 pp Frome, E. (1983) The Analysis of Rates Using Poisson Regression Models Biometrics, 39: Diggle, P. (1982) Some Statistical Aspects of Spatial Distribution Models for Plants and Trees Studia Forestalia Suecica, #162, Williams, D.A. (1982) Extra-binomial Variation in Logistic Linear Models Applied Stataistics, 31, #2, pp White, G. (1980) Statistical Analysis of Deer and Elk Pellet-Group Data Journal of Wildlife Management, 44(1) pp Altham, P.M. (1978) Two Generalizations of the Binomial Distribution Applied Statistics, 27 (#2, pp Kupper, L.L. & J.K. Haseman. (1978) The Use of a Correlated Binomial Model for the Analysis of Certain Toxicological Experiments Biometrics, 34, Williams, D.A. (1975) The Analysis of Binary Responses from Toxicological Experiments Involving Reproduction and Teratogenicity Biometrics, 31: Griffiths, D.A. (1973) Maximum Likelihood Estimation for the Beta- Binomial Distribution and an Application to the Household Distribution of the Total Number of Cases of a Disease Biometrics, 29: Kleinman, J. (1973) Proportions with Extraneous Variance: Single and Independent Samples Journal of the American Statistical Association, Vol. 68, # 341, pp Anscombe, F.J. (1949) Note on a Problem in Probit Analysis The Annals of Applied Biology, Vol. 136, pp Cochran, W. (1943) Analysis of Variance for Percentages Based on Unequal Numbers Journal of the American Statistical Association, Vol. 38, Issue 223, pp Clapham, A.R. (1936) Over-Dispersion in Grassland Communities and the Use of Statistical Methods in Plant Ecology Journal of Ecology, 24:

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