A nonparametric approach to detecting the difference of survival medians. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Chen, Zhongxue
• Is Part Of: Communications in statistics. Volume 46:Issue 1(2017)
• Page Start: 395
• Page End: 403
• Publication Date: 2017-01-02
• Subjects: Anti-conservativeness -- Chi-square distribution -- Cochran test -- Type I error rate; 62 N03; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2014.964804
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: Some nonparametric methods have been proposed to compare survival medians. Most of them are based on the asymptotic null distribution to estimate the p-value. However, for small to moderate sample sizes, those tests may have inflated Type I error rate, which makes their application limited. In this article, we proposed a new nonparametric test that uses bootstrap to estimate the sample mean and variance of the median. Through comprehensive simulation, we show that the proposed approach can control Type I error rates well. A real data application is used to illustrate the use of the new test.