Two-sample chi-square test for randomly censored data

임의로 관측중단된 두 표본 자료에 대한 카이제곱 검정방법

  • 김주한 ((305-764) 대전직할시 유성구 궁동 220번지, 충남대학교 자연과학대학 통계학과) ;
  • 김정란 ((305-764) 대전직할시 유성구 궁동 220번지, 충남대학교 자연과학대학 통계학과)
  • Published : 1995.09.01


A two sample chi-square test is introduced for testing the equality of the distributions of two populations when observations are subject to random censorship. The statistic is appropriate in testing problems where a two-sided alternative is of interest. Under the null hypothesis, the asymptotic distribution of the statistic is a chi-square distribution. We obtain two types of chi-square statistics ; one as a nonnegative definite quadratic form in difference of observed cell probabilities based on the product-limit estimators, the other one as a summation form. Data pertaining to a cancer chemotheray experiment are examined with these statistics.



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