Random effect models for repeated measures of zero-inflated count data

Statistical Modelling

Volumn 5, Issue 1, 2005, Pages 1-19

  Min, Yongyi ^a   Agresti, Alan ^b  

^a UNITED NATIONS   (United States)

^b University of Florida ^*  (United States)

Author keywords

Cumulative logit model; Generalized linear mixed model; Hurdle model; Negative binomial model; Nonparametric mixture model; Zero inflated Poisson model

Indexed keywords

EID: 17444399651     PISSN: 1471082X     EISSN: None     Source Type: Journal    
DOI: 10.1191/1471082X05st084oa     Document Type: Article

References (25)

1. Aitkin M (1999) A general maximum likelihood analysis of variance components in generalized linear models. Biometrics 55, 117-28.
2. Aitkin M and Rubin DB (1985) Estimation and hypothesis testing in finite mixture models. Journal of the Royal Statistical Society: Series B Methodological 47, 67-75.
3. Arulampalam W and Booth A (1997) Who gets over the training hurdle? a study of the training experiences of young men and women in Britain. Journal of Population Economics 10, 197-217.
4. Böhning D, Dietz E and Schlattmann, P (1997) Zero-inflated count models and their applications in public health and social science. In, Rost J and Langeheine R, editors, Applications of Latent Trait and Latent Class Models in the Social Sciences, 333-44. Münster: Waxmann.
5. Breslow NE and Lin X (1995) Bias correction in generalized linear mixed models with a single component of dispersion. Biometrika 82, 81-91.
6. Dobbie MJ and Welsh AH (2001) Modeling correlated zero-inflated count data. Australian and New Zealand Journal of Statistics 43, 431-44.
7. Fahrmeir L and Tutz G (2001) Multivariate statistical modelling based on generalized linear models. 2nd edition. New York: Springer-Verlag.
8. Green PJ (1984) Iteratively reweighted least squares for maximum likelihood estimation, and some robust and resistant alternatives (with discussion). Journal of the Royal Statistical Society: Series B Methodological 46, 149-92.
9. Hall D (2000) Zero-inflated Poisson and binomial regression with random effects: a case study. Biometrics 56, 1030-39.
10. Hartzel J, Agresti A and Caffo B (2001) Multinomial logit random effects models. Statistical Modelling 1, 81-102.
11. Heilbron DC (1994) Zero-altered and other regression models for count data with added zeros. Biometrical Journal 36, 531-47.
12. Jansakul N and Hinde JP (2002) Score tests for zero-inflated Poisson models. Computational Statistics and Data Analysis 40, 75-96.
13. Lambert D (1992) Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics 34, 1-14.
14. Liu Q and Pierce DA (1994) A note on Gauss-Hermite quadrature. Biometrika 81, 624-29.
15. Louis TA (1982) Finding the observed information matrix when using the EM algorithm. Journal of the Royal Statistical Society: Series B Methodological 44, 226-33.
16. Min Y and Agresti A (2004) Random effects models for repeated measures of zero-inflated count data. Technical report no. 2004-026, Department of Statistics, University of Florida.
17. McCulloch CE and Searle SR (2001) Generalized, linear, and mixed models, New York, Chichester: John Wiley & Sons.
18. Mullahy J (1986) Specification and testing of some modified count data models. Journal of Econometrics 33, 341-65.
19. Pinheiro JC and Bates DM (1995) Approximations to the log-likelihood function in the nonlinear mixed-effects model. Journal of Computational and Graphical Statistics 4, 12-35.
20. Raudenbush SW, Yang M-L and Yosef M (2000) Maximum likelihood for generalized linear models with nested random effects via high-order Laplace approximation. Journal of Computational and Graphical Statistics 9, 141-57.
21. Saei A, Ward J and McGilchrist CA (1996) Threshold models in a methadone programme evaluation. Statistics in Medicine 15, 2253-60.
22. Self SG and Liang KY (1987) Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under non-standard conditions. Journal of the American Statistical Association 82, 605-10.
23. Shankar V, Milton J and Mannering F (1997) Modeling accident frequencies as zero-altered probability processes: an empirical inquiry. Accident Analysis and Prevention 29, 829-37.
24. van den Broek J (1995) A score test for zero inflation in a Poisson distribution. Biometrics 21, 738-43.
25. Yau KK and Lee AH (2001) Zero-inflated Poisson regression with random effects to evaluate an occupational injury prevention programme. Statistics in Medicine 20, 2907-20.