The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Interblock Information from BIBD Mixed Effects

균형불완비블록설계의 혼합효과에서 블록간 정보

  • Received : 2015.02.10
  • Accepted : 2015.03.12
  • Published : 2015.04.30
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Abstract

This paper discusses how to use projections for the analysis of data from balanced incomplete block designs. A model is suggested as a matrix form for the interblock analysis. A second set of treatment effects can be found by projections from the suggested interblock model. The variance and covariance matrix of two estimated vectors of treatment effects is derived. The uncorrelation of two estimated vectors can be verified from their covaraince structure. The fitting constants method is employed for the calculation of block sum of squares adjusted for treatment effects.

본 논문은 균형불완비블록설계(balanced incomplete block design)에서 사영에 근거한 블록내(intrablock) 분석과 블록간(interblock) 분석을 다루고 있다. 블록간 분석을 위한 행렬모형을 제시하고 블록간 추정벡터를 구하는 방법을 다루고 있다. 처리효과의 블록내 추정벡터와 블록간 추정벡터의 분산공분산행렬을 규명하고 공분산행렬의 구조적 특성으로 두 추정벡터 간에 상관성이 없음을 보여주고 있다. 처리효과의 상관성없는 두 추정벡터를 이용한 결합추정에서 가중치를 구하는 방법으로 공분산행렬을 이용할 수 있음을 다루고 있다. 또한 처리효과에 적합된 블록변동량의 계산은 상수적합법을 이용한 블록제곱합과 일치함을 보여주고 있다.

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References

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