Statistical methodology is to be extended to accommodate unique statistical problems that arise in several different biomedical studies involving the estimation of within-cluster effects. Examples of such effects include differences in response to chemical toxicity among groups of litters within blocks, within-subject differences in treatment response among tumors in different organs across time, within-subject differences in risk of periodontal diseases among different regions of the dentition across time, and within-subject treatment effects in a cross-over study of bioequivalence. These examples arise in four areas of application: 1) a developmental toxicity study of the synergistic effect of combinations of possible carcinogens ; 2) a comparison of treatment responses of metastatic tumors in different organs that originated from renal cell carcinoma; 3) an observational study of temporal changes in the spatial distribution of periodontal disease ina the dentition; and 4) an investigation of the bioequivalence of different formulations of a drug with respect to a discrete response. These areas of research present a number of unresolved issues regarding mixed effects discrete response models that are the focus of this proposal. First, mixed effects models that accommodate multiple endpoints are addressed. Three cases are to be examined: 1) multiple discrete endpoints; 2) discrete and continuous endpoints; and 3) multiple discrete endpoints with a discrete time failure response. For case 1), a hybrid of random effects and marginal models is proposed. For case 2), an extension of measurement error mixed effects models is considered. And for case 3), a mixed effect ordinal response model conditional on a discrete time failure response is discussed. Additional issues include adapting mixed effects discrete response models to accommodate random cluster sizes (e.g., litter sizes and numbers of tumors for a given subject) and negative intracluster correlations (e.g., strong litter mates benefiting at the expense of weak litter mates). Finally, the analysis of bioequivalence discrete response data has demonstrated differences in confidence-interval- based inference between population-averaged and mixed effects logistic regression models. It is proposed that other link functions be investigated that lead to consistent confidence interval-based inference for bioequivalence in this context.

Agency
National Institute of Health (NIH)
Institute
National Cancer Institute (NCI)
Type
First Independent Research Support & Transition (FIRST) Awards (R29)
Project #
1R29CA069223-01
Application #
2113308
Study Section
Special Emphasis Panel (ZRG7-SSS-1 (19))
Project Start
1995-07-01
Project End
2000-06-30
Budget Start
1995-07-01
Budget End
1996-06-30
Support Year
1
Fiscal Year
1995
Total Cost
Indirect Cost
Name
Pennsylvania State University
Department
Biostatistics & Other Math Sci
Type
Schools of Medicine
DUNS #
129348186
City
Hershey
State
PA
Country
United States
Zip Code
17033
Ten Have, Thomas R; Ratcliffe, Sarah J; Reboussin, Beth A et al. (2004) Deviations from the population-averaged versus cluster-specific relationship for clustered binary data. Stat Methods Med Res 13:3-16
Joffe, Marshall M; Ten Have, Thomas R; Brensinger, Colleen (2003) The compliance score as a regressor in randomized trials. Biostatistics 4:327-40
Ten, HaveThomasR; Reboussin, Beth A; Miller, Michael E et al. (2002) Mixed effects logistic regression models for multiple longitudinal binary functional limitation responses with informative drop-out and confounding by baseline outcomes. Biometrics 58:137-44
Ten Have, T R; Miller, M E; Reboussin, B A et al. (2000) Mixed effects logistic regression models for longitudinal ordinal functional response data with multiple-cause drop-out from the longitudinal study of aging. Biometrics 56:279-87
Ten Have, T R; Morabia, A (1999) Mixed effects models with bivariate and univariate association parameters for longitudinal bivariate binary response data. Biometrics 55:85-93
Ten Have, T R; Kunselman, A R; Tran, L (1999) A comparison of mixed effects logistic regression models for binary response data with two nested levels of clustering. Stat Med 18:947-60
Ten Have, T R; Kunselman, A; Zharichenko, E (1998) Accommodating negative intracluster correlation with a mixed effects logistic model for bivariate binary data. J Biopharm Stat 8:131-49
Ten Have, T R; Kunselman, A R; Pulkstenis, E P et al. (1998) Mixed effects logistic regression models for longitudinal binary response data with informative drop-out. Biometrics 54:367-83
Morabia, A; Ten Have, T; Landis, J R (1997) Interaction fallacy. J Clin Epidemiol 50:809-12
Ten Have, T R (1996) A mixed effects model for multivariate ordinal response data including correlated discrete failure times with ordinal responses. Biometrics 52:473-91

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