Estimation of Logistic Regression for Two-Stage Case-Control Data

2단계 사례-대조자료를 위한 로지스틱 회귀모형의 추론

  • 신미영 (가톨릭대학교 자연과학부) ;
  • 신은순 (동국대학교 통계학과)
  • Published : 2000.09.01

Abstract

In this paper we consider a logistic regression model based on two-stage case-control sampling and study the Weighted Exogeneous Sampling Maximum Likelihood(WESML) method to get an asymptotically normal estimates of the parameters in a logistic regression model. A numerical example is carried out to demonstrate the differences between the Conditional Maximum Likelihood(CML) estimates and the WESML estimates for two-stage case-control data.

이 논문에서는 2단계 계획 하에서의 사례-대조 자료를 로지스틱 회귀 모형에 적합시키고 WESML방법으로 모수를 추정하며 추정량의 점근분포를 찾는다. 또한 WESML,방법과 CML 방법으로 얻은 모수의 추정량과 표준오차를 실제 자료를 이용하여 비교한다.

Keywords

References

  1. 품질경영학회지 v.22 no.4 Logistic regression for retrospective Studies 신미영
  2. Biometrika v.75 Logistic regression for two-stage case-control data Breslow, N. E.;Cain, K. C.
  3. In structural analysis of disease data with economical statistics Efficient estimation of discrete choice models Cosslett, S. R.
  4. Econometrica v.45 Estimation of choice probabilities from choice-based samples Manski, C.;Lerman, S.
  5. In structural analysis of disease data with economical statistics Alternative estimator and sample designs for discrete choice analysis Manski, C.;McFadden, D.
  6. Biometrika v.66 Logistic disease incidence models and case-control studies Prentice, R. L.;Pyke, R.
  7. Biometrika v.76 Hypothesis testing in case-control studies Scott, A. J.;Wild, C. J.
  8. Biometrics v.47 Fitting logistic regression models in stratified case=control studies Scott, A. J.;Wild, C. J.
  9. American Journal of Epidemiology v.115 A two stage design for the study or the relationship between a rare exposure and a rare disease White, J. E.
  10. Biometrika v.78 Fitting prospective regression models to case-control data Wild, C. J.