Title: Test of equality of proportional hazard models with jointly censored data

Authors: Ting Zhang; Xiaojun Zhu; Dejun Xie; Feng Su; Narayanaswamy Balakrishnan

Addresses: Department of Science, Xi'an Jiaotong-Liverpool University, Suzhou, 215000, China ' Department of Science, Xi'an Jiaotong-Liverpool University, Suzhou, 215000, China ' Department of Science, Xi'an Jiaotong-Liverpool University, Suzhou, 215000, China ' Department of Basic Courses, Guangzhou Maritime College, Guangzhou, 510700, China ' Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada

Abstract: This paper addresses the problem of and solutions to the equality of two samples following the same class of nonlinear models. The test statistic used is based on the partial likelihood estimate from two independent samples with proportional hazard under complete and censored samples. By assuming that the hazard function is time-dependent, we develop exact inference for the partial likelihood estimate of the ratio of two hazard rates. The results obtained are important for testing the equality of sampling distributions and evaluating parameters for the hazard models. We propose a new sequential test based on the partial likelihood estimate, followed by an efficient computational methodology for exact inferential statistics. Examples are provided to demonstrate the implementation of our statistical testing procedure.

Keywords: exact inference; partial likelihood estimator; proportional hazard; sequential test; maximum likelihood; complete sampling; censored sample; critical region; power test; test efficiency.

DOI: 10.1504/IJDS.2022.124365

International Journal of Data Science, 2022 Vol.7 No.1, pp.1 - 21

Received: 09 Jan 2022
Accepted: 16 Feb 2022
Published online: 25 Jul 2022 *

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