The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Analysis of Field Test Data using Robust Linear Mixed-Effects Model

로버스트 선형혼합모형을 이용한 필드시험 데이터 분석

  • Hong, Eun Hee (Department of Statistics, Seoul National University) ;
  • Lee, Youngjo (Department of Statistics, Seoul National University) ;
  • Ok, You Jin (Department of Statistics, Chonnam National University) ;
  • Na, Myung Hwan (Department of Statistics, Chonnam National University) ;
  • Noh, Maengseok (Department of Statistics, Pukyong National University) ;
  • Ha, Il Do (Department of Statistics, Pukyong National University)
  • Received : 2015.04.06
  • Accepted : 2015.04.09
  • Published : 2015.04.30
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Abstract

A general linear mixed-effects model is often used to analyze repeated measurement experiment data of a continuous response variable. However, a general linear mixed-effects model can give improper analysis results when simultaneously detecting heteroscedasticity and the non-normality of population distribution. To achieve a more robust estimation, we used a heavy-tailed linear mixed-effects model for a more exact and reliable analysis conclusion than a general linear mixed-effects model. We also provide reliability analysis results for further research.

연속측도의 반응변수가 반복측정된 실험 자료의 분석을 위해 흔히 선형혼합모형이 사용된다. 그러나, 잔차의 분포가 이분산성이거나 비정규성을 가질 때 표준적인 선형혼합모형은 적절하지 않은 결과를 가져온다. 잔차의 분포가 두터운 꼬리를 가진 비정규분포를 보이는 타이어 필드시험 데이터를 로버스트 선형혼합모형에 적합시킴으로써 보다 더 정확하고 신뢰할 수 있는 분석결과를 얻을 수 있다. 추가적으로 신뢰성 분석 결과를 제시한다.

Keywords

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