Testing homogeneity in Weibull-regression models

Biometrical Journal

Volumn 47, Issue 5, 2005, Pages 707-720

  Bolfarine, Heleno ^a   Valença, Dione M ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

Author keywords

Accelerated failure time model; Homogeneity test; Weibull model

Indexed keywords

RANDOM PROCESSES; STATISTICAL TESTS; STATISTICS;

ACCELERATED FAILURE TIME MODEL; EXPLANATORY VARIABLES; FAILURE TIME; GEOGRAPHICAL UNITS; HOMOGENEITY TEST; RANDOM EFFECTS; TEST STATISTICS; TIME MODELING; WEIBULL MODELS; WEIBULL REGRESSION MODELS;

REGRESSION ANALYSIS;

EID: 27844440830     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.200410064     Document Type: Article

References (23)

1. Bartoo, J. B. and Puri, P. S. (1967). On optimal asymptotic tests of composite statistical hypotheses. Annals of Mathematical Statistcs 38, 1845-1852.
2. Commenges, D., Letenneur, L., Jacqmin, H., Moreau, T., and Dartigues, J. (1994). Test of homogeneity of binary data with explanatory variables. Biometrics 50, 613-620.
3. Commenges, D. and Andersen, P. K. (1995). Score test of homogeneity for survival data. Lifetime Data Analysis, 1, 145-156.
4. Commenges, D. and Jaqmin-Gadda, H. (1997). Generalized Score test of homogeneity based on correlated random effects models. Journal of the Royal Statistical Society B59, 157-171.
5. Cox, D. R. (1983). Some remarks on overdispersion. Biometrika 70, 269-274.
6. Dean, C. (1992). Testing for overdispersion in Poisson and binomial regression models. Journal of the American Statistical Association 87, 451-457.
7. Grande, R. H. M., Lima, A. C. P., Filho, L. E. R., and Witzel, M. F. (2000). Clinical evaluation of an adhesive used as a fissure sealant. American Journal of Dentistry 13, 167-170.
8. Hamerle, A. (1990). On a simple teste for neglected heterogeneity in panel studies. Biometrics, 46, 193-199.
9. Hougaard, P. (1986). A class of multivariate failure time distributions. Biometrika 73, 671-678.
10. Hougaard, P., Myglegaard, P., and Borch-Johnsen, K. (1994). Heterogeneity models of disease susceptibility, with application to diabetic nephropathy. Biometrika 50, 1178-1188.
11. Jacqmin, H. and Commenges, D. (1995). Tests of homogeneity for generalized linear models. Journal of the American Statistical Association 90, 1237-1246.
12. Keiding, N., Andersen, P. K., and Klein, J. P. (1997). The role of frailty models and accelerated failure time models in describing heterogeneity due to omitted covariates. Statistics in Medicine 16, 215-224.
13. Kimber, A. C. (1996). A Weibull-based score test for homogeneity. Lifetime Data Analysis 2, 63-71.
14. Klein, J. P., Pelz, C., and Zhang, M. (1999). Modeling random effects for censored data by a multivariate normal regression model. Biometrics 55, 497-506.
15. Liang, K. Y. (1987). A locally most powerful test for homogeneity with many strata. Biometrika 74, 259-264.
16. Lin, X. (1997). Variance component testing in generalized linear models with randon effects. Biometrika 84, 309-326.
17. Mantel, N., Bohidar, N. R., and Ciminera, J. L. (1977). Mantel-Haenszel analyses of litter-matched time-to-response data, with modifications for recovery of interlitter information. Cancer Research 37, 3863-3868.
18. Moran P. A. P. (1971). Maximum-likelihood estimation in non-standard conditions. Proceedings of the Cambridge Philosophical Society 70, 441-450.
19. Moran P. A. P. (1973). Asymptotic properties of homogeneity testes. Biometrika 60, 79-85.
20. Orme, C. D. (1998). On the insensitivity of the score test for heterogeneity to omitted covariates in multivariate failure time models. Biometrika 85, 457-461.
21. Sen, P. K. and Singer, J. M. (1993). Large Sample Methods in Statistics: an Introduction with Applications. Chapman and Hall, New York.
22. Vu, H. T. V. and Zhou, S. (1997). Generalization of likelihood ratio tests under nonstandard conditions. The Annals of Statistics 25, 897-916.
23. Yau, K. K. W. and McGilchrist, C. A. (1997). Use of generalised linear mixed models for the analysis of clustered survival data. Biometrical Journal 39, 3-11.