Dirichlet negative multinomial regression for overdispersed correlated count data

Biostatistics

Volumn 14, Issue 2, 2013, Pages 395-404

  Farewell, Daniel M ^a   Farewell, Vernon T ^b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Dirichlet negative multinomial; Longitudinal count data; Regression; Sources of variation

Indexed keywords

ARTICLE; BIOSTATISTICS; CLINICAL TRIAL (TOPIC); COMPUTER SIMULATION; HUMAN; LONGITUDINAL STUDY; PATIENT SELECTION; REGRESSION ANALYSIS; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICS;

BIOSTATISTICS; CLINICAL TRIALS AS TOPIC; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; HUMANS; LINEAR MODELS; LONGITUDINAL STUDIES; MODELS, STATISTICAL; PATIENT SELECTION; REGRESSION ANALYSIS;

EID: 84874881111     PISSN: 14654644     EISSN: 14684357     Source Type: Journal    
DOI: 10.1093/biostatistics/kxs050     Document Type: Article

References (13)

1. BATES, D., MAECHLER, M. AND BOLKER, B. (2012). lme4: Linear Mixed-Effects Models using S4 Classes. R package version 0.999999-0..
2. DUBEY, S. D. (1970). Compound gamma, beta and F distributions. Metrika 16, 27-31..
3. FOURNIER, D. A., SKAUG, H. J., ANCHETA, J., IANELLI, J., MAGNUSSON, A., MAUNDER, M., NIELSEN, A. AND SIBERT, J. (2012). AD Model Builder: using automatic differentiation for statistical inference of highly parameterized complex nonlinear models. Optimization Methods & Software 27, 233-249..
4. GOODHARDT, G. J., EHRENBERG, A. S. C. AND CHATFIELD, C. (1984). The Dirichlet: a comprehensive model of buying behaviour. Journal of the Royal Statistical Society. Series A (General) 147, 621-655..
5. HAUSMAN, J., HALL, B. H. AND GRILICHES, Z. (1984). Econometric models for count data with an application to the patents-R & D relationship. Econometrica 52, 909-938..
6. HEAGERTY, P. J. AND KURLAND, B. F. (2001). Misspecified maximum likelihood estimates and generalised linear mixed models. Biometrika 88, 973 -985..
7. HUTCHINSON, T. P. (1981). Compound gamma bivariate distributions. Metrika 28, 263-271..
8. JOHNSON, N. L., KOTZ, S. AND BALAKRISHNAN, N. (1997). Discrete Multivariate Distributions. New York: Wiley..
9. LEEDS, S. AND GELFAND, A. E. (1989). Estimation for Dirichlet mixed models. Naval Research Logistics 36, 197-214..
10. MOSIMANN, J. E. (1963). On the compound negative multinomial distribution and correlations among inversely sampled pollen counts. Biometrika 50, 47-54..
11. R CORE TEAM. (2012). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria..
12. SKAUG, H., FOURNIER, D., NIELSEN, A., MAGNUSSON, A. AND BOLKER, B. (2012). Generalized Linear Mixed Models using AD Model Builder. R package version 0.7.2.12..
13. SOLIS-TRAPALA, I. L. AND FAREWELL, V. T. (2005). Regression analysis of overdispersed correlated count data with subject specific covariates. Statistics in Medicine 24, 2557-2575..