Linear Measurement Error Variance Estimation based on the Complex Sample Survey Data

다국어 초록 (Multilingual Abstract)

Measurement error is one of main source of error in survey. It is generally defined as the difference between an observed value and an underlying true value. An observed value with error may be expressed as a function of the true value plus error term. In some cases, the measurement error variance may be also a function of the unknown true value. The error variance function can be rewritten as a function of true value multiplied by a scale factor. This research explore methods for estimation of the measurement error variance based on the data from complex sampling design. We consider the case in which the variance of mesurement error is a linear function of unknown true value, and the error variance scale factor is small. We applied our results to the U.S. Third National Health and Nutrition Examination Survey (the U.S. NHANES Ⅲ) data for empirical analyses, which has replicate measurements for relatively small subset of initial respondents's group.

참고문헌 (Reference)

1 M. P. Cooper, "Web Surveys: a Review of Issues and Approaches" 64 : 464-494, 2000

2 M. Davidian, "Variance function estimation" 82 : 1097-1091, 1987

3 J. L. Eltinge, "Use of propensity models in the analysis of subsample re-measurements for NHANES III" Statistical Society of Canada 27-36, 1997

4 T. E. Dalenius, "The survey statistician's reponsibility for both sampling and measurement errors, In Current Topics in Survey Sampling" Academic Press 17-29, 1981

5 J. Shao, "Resampling methods in sample surveys (with discussion)" 27 : 203-254, 1996

6 W. A. Fuller, "Regression estimation in the presence of measurement error, In Measurement Errors in Surveys" John Wiley & Sons 616-635, 1991

7 P. P. Biemer, "Measurement Errors in Surveys" John Wiley & Sons 1991

8 M. Davidian, "Estimation of variance functions in assays with possibly unequal replication and nonnormal data" 77 : 43-54, 1990

9 R. J. Carroll, "Approximate quasi-likelihood estimation in models with surrogate predictors" 85 : 652-663, 1990

10 R. J. Carroll, "An asymptotic theory for weighted least -squares with weighted by replication" 10 : 478-486, 1988