Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Power analysis for 3 ${\times}$ 3 Latin square design

3 ${\times}$ 3 라틴방격모형의 검정력 분석

  • Choi, Young-Hun (Department of Information and Statistics, Hanshin University)
  • 최영훈 (한신대학교 정보통계학과)
  • Published : 2009.03.31
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Abstract

Due to the characteristics of 3 ${\times}$ 3 Latin square design which is composed of two block effects and one main effect, powers of rank transformed statistic for testing the main effect are very superior to powers of parametric statistic without regard to the type of population distributions. By order of when all three effects are fixed, when on one block effect is random, when two block effects are random, the rank transform statistic for testing the main effect shows relatively high powers as compared with the parametric statistic. Further when the size of main effect is big with one equivalent size of block effect and the other small size of block effect, powers of rank transformed statistic for testing the main effect demonstrate excellent advantage to powers of parametric statistic.

두 블럭인자와 하나의 주인자로 구성된 3 ${\times}$ 3 라틴방격모형의 특성으로 인하여 주효과를 검정하기 위한 순위변환 통계량의 검정력은 모집단의 분포유형에 상관없이 모수적 통계량의 검정력보다 전반적으로 월등히 높은 수준이다. 특히 세인자가 모두 고정인 경우, 하나의 블럭인자만이 랜덤인 경우, 두 블럭인자가 모두 랜덤인 경우의 순서로 주효과를 검정하기 위한 순위변환 통계량의 검정력이 모수적 통계량의 검정력에 비하여 상대적으로 높다. 또한 검정하고자 하는 주효과의 크기가 크되 동시에 동일크기의 하나의 블럭효과 및 또다른 블럭효과 크기는 상대적으로 작을수록 주효과를 검정하기 위한 순위변환 통계량의 검정력은 모수적 통계량의 검정력보다 상대적 우위성을 갖는다.

Keywords

References

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