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Research Article Open access CC BY 4.0

Two Sample Test for Censored Data Based on Sub-Sample Medians

. Ayushee, Narinder Kumar, Manish Goyal

Asian Journal of Probability and Statistics · pp. 58–73 · Published 21 Jul 2022

10.9734/ajpas/2022/v18i330451

Abstract

In hypothesis testing, the purpose of two-sample problem is to determine the statistical significance of the difference between two independent populations. This paper proposes a nonparametric test statistic based on U -statistic, useful for two-sample scale problem when dealing with randomly right censored data. Proposed test concentrates on comparing the medians of sub-samples from two populations. A simulation study is given for critical values and power of the proposed test statistic at various sample sizes and considering different lifetime distributions. Asymptotic relative efficiencies show that the proposed test is more efficient in comparison to some existing tests available in literature. A real-life data application is also given.

Two-sample scale relative efficiency U -statistic random right censoring

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Cited by 2

A Nonparametric Test for Randomly Censored Data

Ayushee, Narinder Kumar, Manish Goyal · Annals of Data Science · 2023

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