On the Efficiency of Score Tests for Homogeneity in Two-Component Parametric Models for Discrete Data

Biometrics

Volumn 68, Issue 3, 2012, Pages 975-982

  Todem, David ^a   Hsu, Wei Wen ^b   Kim, Kyungmann ^c  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b MICHIGAN STATE UNIVERSITY   (United States)

^c UNIVERSITY OF WISCONSIN SCHOOL OF MEDICINE AND PUBLIC HEALTH   (United States)

Author keywords

Binary regression; Finite dimensional parameter; Goodness of fit test; Identifiable models; Likelihood function; Negative binomial models; Overdispersion; Score function

Indexed keywords

MIXING; STATISTICAL TESTS; STATISTICS;

BINARY REGRESSION; DIMENSIONAL PARAMETERS; FINITE DIMENSIONAL; FINITE DIMENSIONAL PARAMETER; GOODNESS OF FIT; GOODNESS-OF-FIT TEST; IDENTIFIABLE MODEL; LIKELIHOOD FUNCTIONS; NEGATIVE BINOMIAL MODELS; OVERDISPERSION; SCORE FUNCTION;

EFFICIENCY;

DISCRETE CHOICE ANALYSIS; FINITE DIFFERENCE METHOD; HOMOGENEITY; REGRESSION ANALYSIS;

EID: 84866766210     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2011.01737.x     Document Type: Article

References (19)

1. Böhning, D., Dietz, E., Schlattmann, P., Mendonca, L., and Kirchner, U. (1999). The zero-inflated Poisson model and the decayed, missing and filled teeth index in dental epidemiology. Journal of the Royal Statistical Society: Series A (Statistics in Society) 162, 195-209.
2. Cox, D. R. and Hinkley, D. V. (1974). Theoretical Statistics. London: Chapman & Hall Ltd.
3. Deng, D. and Paul, S. R. (2000). Score tests for zero inflation in generalized linear models. The Canadian Journal of Statistics/La Revue Canadienne de Statistique 28, 563-570.
4. Farewell, V. and Sprott, D. (1988). The use of a mixture model in the analysis of count data. Biometrics 44, 1191-1194.
5. Hall, D. B. (2000). Zero-inflated Poisson and binomial regression with random effects: A case study. Biometrics 56, 1030-1039.
6. Heilbron, D. (1994). Zero-altered and other regression models for count data with added zeros. Biometrical Journal 36, 531-547.
7. Hur, K., Hedeker, D., Henderson, W., Khuri, S., and Daley, J. (2002). Modeling clustered count data with excess zeros in health care outcomes research. Health Services and Outcomes Research Methodology 3, 5-20.
8. Jansakul, N. and Hinde, J. (2009). Score tests for extra-zero models in zero-inflated negative binomial models. Communications in Statistics-Simulation and Computation 38, 92-108.
9. Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics 34, 1-14.
10. Lewsey, J. D. and Thomson, W. M. (2004). The utility of the zero-inflated poisson and zero-inflated negative binomial models: A case study of cross-sectional and longitudinal dmf data examining the effect of socio-economic status. Community Dentistry and Oral Epidemiology 32, 183-189.
11. Lindsay, B. and Roeder, K. (1992). Residual diagnostics for mixture models. Journal of the American Statistical Association 87, 785-794.
12. Mullahy, J. (1986). Specification and testing of some modified count data models. Journal of Econometrics 33, 341-365.
13. Ridout, M., Demetrio, C. G. B., and Hinde, J. (1998). Models for count data with many zeros. In Proceedings of International Biometric Conference, 179-192. Cape Town, South Africa: International Biometric Society.
14. Ridout, M., Hinde, J., and Demetrio, C. G. B. (2001). A score test for testing a zero-inflated Poisson regression model against zero-inflated negative binomial alternatives. Biometrics 57, 219-223.
15. Silvapulle, M. J. and Silvapulle, P. (1995). A score test against one-sided alternatives. Journal of the American Statistical Association 90, 342-349.
16. Tellez, M., Sohn, W., Burt, B., and Ismail, A. (2006). Assessment of the relationship between neighborhood characteristics and dental caries severity among low-income African-Americans: A multilevel approach. Journal of Public Health Dentistry 66, 30-36.
17. Thompson, R. and Baker, R. J. (1981). Composite link functions in generalized linear models. Applied Statistics 30, 125-131.
18. van den Broek, J. (1995). A score test for zero inflation in a Poisson distribution. Biometrics 51, 738-743.
19. Xiang, L., Lee, A., Yau, K., and McLachlan, G. (2006). A score test for zero-inflation in correlated count data. Statistics in Medicine 25, 1660-1671.