Approximating the powers of order-restricted log rank tests at local alternatives

Bahadur Singh and F. T. Wright

Statistics & Probability Letters, 1999, vol. 44, issue 1, 7-17

Abstract: Under a proportional hazards model with continuous, right-censored data, tests of homogeneity with order-restricted alternatives are considered for survival curves. For such situations, analogues to the log rank test have been derived by applying order-restricted inference procedures to the score statistics. For local alternatives, approximations to the power functions of these tests are obtained by relating them to the likelihood ratio tests of homogeneity of normal means with order-restricted alternatives. The accuracies of the approximations are studied using Monte Carlo techniques for the simple order and the simple tree order restrictions.

Keywords: Order-restricted; hypotheses; Proportional; hazards; models; Score; tests; Simply; ordered; trend; Simple; tree; ordering (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(98)00285-5
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:44:y:1999:i:1:p:7-17

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().