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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국자료분석학회 Journal of The Korean Data Analysis Society Journal of The Korean Data Analysis Society 제18권 제4호
- 발행연도
- 2016.1
- 수록면
- 1,751 - 1,757 (7page)
이용수
초록· 키워드
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In this research, we propose a nonparametric test procedure under the proportional hazards assumption for the two-sample problem setting. For this, first of all, we review the functional equation for relative risk between the survival and cumulative functions under the proportional hazards model and the estimate of the relative risk proposed by Park, Hong (2007) with the expressions of the empirical ones for the computational convenience. Then we propose a nonparametric test procedure with the null distribution for the test statistic. For obtaining the null distribution, we apply the large sample approximation theorem and derive the asymptotic normality. Then we compare the performance of our proposed test with that of Begun (1987) with the exponential and Weibull distributions, which are frequently applied in the survival analysis by varying sample sizes. We show that our proposed test procedure can be an excellent alternative to the Begun’s one. Finally we discuss some interesting features of our procedure including re-sampling methods to obtain the null distributions of the test statistics as concluding remarks.
목차
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참고문헌 (13)
참고문헌 신청
Begun, J. M. / 1987 / Estimates of relative risk / Metrika 34:65~82
Begun, J. M. / 1983 / Estimating the relative risk with censored data / Journal of American Statistical Association 78:337~341
Breslow, N. E. / 1975 / Analysis of survival data under the proportional hazards model / International Statistical Review 43:45~58
Cox, D. R. / 1972 / Regression models and life tables (with discussion) / Journal of Royal Statistical Society, Ser. B 34:187~220
Good, P. / 2000 / Permutation Tests-A Practical Guide to Resampling Methods for Testing Hypotheses / Springer-Verlag
Begun, J. M. / 1983 / Estimating the relative risk with censored data / Journal of American Statistical Association 78:337~341
Breslow, N. E. / 1975 / Analysis of survival data under the proportional hazards model / International Statistical Review 43:45~58
Cox, D. R. / 1972 / Regression models and life tables (with discussion) / Journal of Royal Statistical Society, Ser. B 34:187~220
Good, P. / 2000 / Permutation Tests-A Practical Guide to Resampling Methods for Testing Hypotheses / Springer-Verlag
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