응용통계연구 (The Korean Journal of Applied Statistics)

  • 제26권6호
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  • Pages.1009-1018
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  • 2013
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
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여러개의 단순 선형 회귀모형에서 순차기울기를 이용한 평행성 검정

Parallelism Test of Slope in a Several Simple Linear Regression Model based on a Sequential Slope

  • 김주희 (가톨릭대학교 의학통계학과) ;
  • 김동재 (가톨릭대학교 의학통계학과)
  • Kim, Juhie (Department of Biostatistics, The Catholic University of Korea) ;
  • Kim, Dongjae (Department of Biostatistics, The Catholic University of Korea)
  • 투고 : 2013.10.14
  • 심사 : 2013.11.11
  • 발행 : 2013.12.31
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초록

회귀분석은 변수들간의 관계를 파악하는데 유용하게 사용된다. 여러개의 모집단을 비교할 때, 여러 모집단이 갖는 각각의 회귀직선의 기울기가 같은지 검정하는 것이 필요할 때가 있다. 본 논문에서는 순차기울기를 추정한 후 ANOVA의 F-검정법과 Kruskal-Wallis (1952)검정법을 이용한 방법을 각각 제안하였다. 또한, 몬테카를로 모의시험 연구를 통해 본 논문에서 제안한 두 가지 방법과 Park과 Kim (2009)이 제안한 기존 방법의 검정력을 비교하였다.

Regression analysis is useful to understand the relationship of variables; however, we need to test if the slope of each regression lines is the same when comparing several populations. This paper suggests a new parallelism test for several linear regression lines. We use F-test of ANOVA and Kruskal-Wallis (1952) tests after obtaining slope estimator from a sequential slope. In addition, a Monte Carlo simulation study is adapted to compare the power of the proposed methods with those of Park and Kim (2009).

키워드

참고문헌

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  3. Kruskal, W. H. and Wallis, W. A. (1952). Use of rank in one-criterion variance analysis, Journal of the American Statistical Association, 47, 583-621. https://doi.org/10.1080/01621459.1952.10483441
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  5. Park, H. W. and Kim, D. (2009). Parallelism test of slope in simple linear regression models, Journal of the Korean Statistical Society, 16, 75-83. https://doi.org/10.5351/CKSS.2009.16.1.075
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  7. Son, D. S. (2002). A Nonparametric Parrallelism Test in Simple Linear Regression Model Based on Sequential Slope, The Catholic University of Korea.
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