A Pseudoscore Estimator for Regression Problems With Two-Phase Sampling

Two-phase stratified sampling designs yield efficient estimates of population parameters in regression models while minimizing the costs of data collection. In measurement error problems, for example, error-free covariates are ascertained only for units selected in a validation sample. Estimators pr...

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Bibliographic Details
Published in:Journal of the American Statistical Association 2003-03, Vol.98 (461), p.158-168
Main Authors: Chatterjee, Nilanjan, Chen, Yi-Hau, Breslow, Norman E
Format: Article
Language:English
Subjects:
Consistent estimators
Data analysis
Data sampling
Error
Estimation bias
Estimation methods
Estimators
Leprosy
Logistics
Mathematical methods
Maximum likelihood estimation
Measurement error
Missing data
Modeling
Pseudolikelihood
Regression analysis
Response selective sampling
Restricted sampling
Samples
Sampling
Scars
Semiparametric inference
Statistical analysis
Statistical methods
Statistics
Theory and Methods
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Description
Summary:Two-phase stratified sampling designs yield efficient estimates of population parameters in regression models while minimizing the costs of data collection. In measurement error problems, for example, error-free covariates are ascertained only for units selected in a validation sample. Estimators proposed heretofore for such designs require all units to have positive probability of being selected. We describe a new semiparametric estimator that relaxes this assumption and that is applicable to, for example, case-only or control-only validation sampling for binary regression problems. It uses a weighted empirical covariate distribution, with weights determined by the regression model, to estimate the score equations. Implementation is relatively easy for both discrete and continuous outcome data. For designs that are amenable to alternative methods, simulation studies show that the new estimator outperforms the currently available weighted and pseudolikelihood methods and often achieves efficiency comparable to that of semiparametric maximum likelihood. The simulations also demonstrate the vulnerability of the case-only or control-only designs to model misspecification. These results are illustrated by the analysis of data from a population-based case-control study of leprosy.
ISSN:0162-1459
1537-274X
DOI:10.1198/016214503388619184