Prospective Analysis of Logistic Case-Control Studies
作者:
R.J. Carroll,
Suojin Wang,
C.Y. Wang,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1995)
卷期:
Volume 90,
issue 429
页码: 157-169
ISSN:0162-1459
年代: 1995
DOI:10.1080/01621459.1995.10476498
出版商: Taylor & Francis Group
关键词: Asymptotics;Corrections for attenuation;Differential measurement error;Estimating equations;Measurement error;Missing data;Robust estimates
数据来源: Taylor
摘要:
In a classical case-control study, Prentice and Pyke proposed to ignore the study design and instead base estimation and inference on a random sampling (i.e., prospective) formulation. We generalize this prospective formulation of case-control studies to include multiplicative models, stratification, missing data, measurement error, robustness, and other examples. The resulting estimators, which ignore the case-control study aspect and instead are based on a random-sampling formulation, are typically consistent for nonintercept parameters and are asymptotically normally distributed. We derive the resulting asymptotic covariance matrix of the parameter estimates. The covariance matrix obtained by ignoring the case-control sampling scheme and using prospective formulas instead is shown to be at worst asymptotically conservative and asymptotically correct in a variety of problems; a simple sufficient condition guaranteeing the latter is obtained.
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