응용통계연구 (The Korean Journal of Applied Statistics)

  • 제10권1호
  • /
  • Pages.105-119
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  • 1997
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

일원배열 가산자료에서의 처리효과 비교

Analysis of counts in the one-way layout

  • 이선호 ((143-747) 서울시 광진구 군자동 98, 세종대학교 수학과)
  • 발행 : 1997.03.01
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초록

일원배열형태의 가산 자료집합에서 각 군의 평균을 이용하여 처리효과를 비교할 수 있다. Barnwal과 Paul(1988)은 각 군의 산포모수가 같다는 가정 아래에서 처리에 따른 차이를 검정하는 우도검정통계량과 $C(\alpha)$ 통계량을 유도하였는데 본 연구에서는 이러한 가정이 만족되지 않아도 검정할 수 있도록 통계량을 일반화하였다. 또한 음이항분포 대신 Efron(1986)의 이중지수계 포아송 모형을 도입하여 새로운 통계량을 제시하였다. 모의실험을 통해 이중지수계 포아송 모형으로부터 유도된 $C(\alpha)$ 통계량이 어느 경우에나 적합함을 밝혔다.

Barnwal and Paul(1988) derived the likelihood ratio statistic and $C(\alpha)$ statistic for testing the equality of the means of several groups of count data in the presence of a common dispersion parameter. These tests are generalized to be applicable without the restriction of a common dispersion parameter. And the assumed model of data is also extended from negative binomial to double exponential Poisson model. Monte Carlo simulations show the superiority of $C(\alpha)$ statistic based on the double exponential Poisson family which has a very simple form and requires estimates of the parameters only under the null hypothesis.

키워드

참고문헌

  1. Biometrika v.75 Analysis of one-way layout count data with negative binomial variation Banwal, P.K.;Paul, S.R.
  2. Econometrika v.52 Testing for neglected heterogeneity Chesher, A.
  3. Journal of the American Statistical Association v.80 Testing gooness of fit for the Poisson assumption when observations are identically distributed Collings, B.J.;Margolin, B.H.
  4. Journal of the American Statistical Association v.81 Double exponential families anf their use in generalized linear regression Efron, B.
  5. Theoretical and Applied Genetics v.73 Genetic evaluation of traits distributed as Poisson binomial with reference to reproductive characters Foullry, J.L.;Gianola, D.;Im, S.
  6. Mutation Research v.41 The distribution of fetal death in control mice and its implications on statistical tests for dominant lethal effects Haseman, J.K.;Soares, E.R.
  7. Mutation Research v.272 Assessing overdispersion and dose-response in the male dominant lethal assay Lockhart, A.;Piegorsch, W.;Bishop, J.
  8. Toxicology and Applied Phamacology v.38 Statistical models for numbers of implantation sites and embryonic deaths in mice MacCaughran, D.A.;Arnold, D.W.
  9. Procedings of the Natinal Academy of Sciences v.78 Statistical analysis of the Ames Salmonella / microsome test Margolin, B.H.;Kaplan, N.;Zeiger, E.
  10. Biometrika v.57 On asymptotically optimal tests of composite hypothesis Moran, P.A.P.
  11. Prabability and Statistics: The Harold Cramer Volume Optimal asymptotic test of composite hypothesis Neyman, J.;U. Grenander(ed.)
  12. Journal of Animal Science v.72 A comparison of normal and nonnormal models for number of lambs born in Norwegian sheep Olesen,I.;Perez_Enciso, M.;Gianola, D.;Thomas, D.
  13. Biometrics v.51 Analysis of Proportions in the Presence of Over-/Under-dispersion Paul S.R.;Islam, A.
  14. Biometrika v.72 On heterogeneity tests based on efficient scores Tarone, R. E.
  15. Biometrics v.52 A mixed effects model for overdispersed count data in animal breeding Tempelman, R.;Gianola, D.
  16. Biometrics v.52 A mixed effects model for overdispersed count data i animal breeding Tempelman,R.;Gianola,D.