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A Note on a Test Procedure under the Proportional Hazards Model
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논문 기본 정보

Type
Academic journal
Author
Seung Man Hong (고려대학교) Hyo-Il Park (청주대학교)
Journal
The Korean Data Analysis Society Journal of The Korean Data Analysis Society Journal of The Korean Data Analysis Society 제18권 제6호 KCI Accredited Journals
Published
2016.12
Pages
2,889 - 2,896 (8page)

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A Note on a Test Procedure under the Proportional Hazards Model
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Abstract· Keywords

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In this paper, we investigate some properties of a test procedure, which may be used whether two survival or hazard functions coincide or not under the proportional hazards assumption. Also we discuss that this proposed test can be applied for detecting some specific values of the treatment effect with comparison to the control group. For this purpose, first of all, we review the construction of the test statistic and testing procedure in some detail. Then we comment briefly on the consistency of the test by reasoning that the limiting power tends to unity under the general alternatives. Also we derive the limiting power of test under the scheme of the contiguous alternatives with some appropriate assumptions and the conditions which are known as the Noethter's condition. Then we illustrate the test procedure with a numerical example to test the equality of two underlying distributions. Finally we discuss some interesting aspects related with the proportional hazards model and corresponding tests.
#Contiguous alternative #Limiting power #Proportional hazards model #Two-sample problem.

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References (17)

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Aalen, O. O. / 1989 / A linear regression model for the analysis of life times / Statistics in Medicine 8:907~925 google schola Begun, J. M. / 1987 / Estimates of relative risk / Metrika 34:65~82 google schola Begun, J. M. / 1983 / Estimating the relative risk with censored data / Journal of American Statistical Association 78:337~341 google schola Breslow, N. E. / 1975 / Analysis of survival data under the proportional hazards model / International Statistical Review 43:45~58 google schola Cox, D. R. / 1972 / Regression models and life tables (with discussion) / Journal of Royal Statistical Society, Ser. B 34:187~220 google schola

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