The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Parallelism Test of Slope in a Several Simple Linear Regression Model based on a Sequential Slope

여러개의 단순 선형 회귀모형에서 순차기울기를 이용한 평행성 검정

  • Kim, Juhie (Department of Biostatistics, The Catholic University of Korea) ;
  • Kim, Dongjae (Department of Biostatistics, The Catholic University of Korea)
  • 김주희 (가톨릭대학교 의학통계학과) ;
  • 김동재 (가톨릭대학교 의학통계학과)
  • Received : 2013.10.14
  • Accepted : 2013.11.11
  • Published : 2013.12.31
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Abstract

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).

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.

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References

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