The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Nonignorable Nonresponse Imputation and Rotation Group Bias Estimation on the Rotation Sample Survey

무시할 수 없는 무응답을 가지고 있는 교체표본조사에서의 무응답 대체와 교체그룹 편향 추정

  • Published : 2008.06.30
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Abstract

We propose proper methods to impute the item nonresponse in 4-8-4 rotation sample survey. We consider nonignorable nonresponse mechanism that can happen when survey deals with sensitive question (e.g. income, labor force). We utilize modeling imputation method based on Bayesian approach to avoid a boundary solution problem. We also estimate a interview time bias using imputed data and calculate cell expectation and marginal probability on fixed time after removing estimated bias. We compare the mean squared errors and bias between maximum likelihood method and Bayesian methods using simulation studies.

본 논문에서는 패널의 일부를 규칙적으로 교체하는 4-8-4 교체표본설계에서 발생할 수 있는 항목 무응답을 대체하는 방법에 대하여 연구하였다. 특히 소득이나 취업과 같이 민감한 질문에 대하여 발생할 수 있는 무응답에 대하여 무시할 수 없는 무응답(nonignorable nonresponse) 체계하에서 발생하는 무응답을 가정하였다. 무응답들의 대체방법으로 모형에 기반한 대체방법을 고려하였으며 베이지안 방법을 이용하여 사후확률밀도함수를 최대화하는 최대사후우도추정량(maximum posterior likelihood estimator)을 구하였다. 그리고 대체된 자료를 이용하여 면접시점이 달라질 때 발생하는 편향을 추정하였으며 추정된 편향을 제거한 후 연속적인 두 조사기간에서의 각 칸의 확률과 고정된 시점에서의 주변확률을 계산하였다. 모의실험을 통해 최종적으로 도출된 결과를 평균제곱오차와 편향의 관점에서 비교하였다.

Keywords

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