Please use this identifier to cite or link to this item: https://doi.org/10.1214/21-ejs1817
DC FieldValue
dc.titleTest for homogeneity with unordered paired observations
dc.contributor.authorChen, Jiahua
dc.contributor.authorLi, Pengfei
dc.contributor.authorQin, Jing
dc.contributor.authorYu, Tao
dc.date.accessioned2022-10-11T08:04:35Z
dc.date.available2022-10-11T08:04:35Z
dc.date.issued2021-01-01
dc.identifier.citationChen, Jiahua, Li, Pengfei, Qin, Jing, Yu, Tao (2021-01-01). Test for homogeneity with unordered paired observations. Electronic Journal of Statistics 15 (1) : 1661-1694. ScholarBank@NUS Repository. https://doi.org/10.1214/21-ejs1817
dc.identifier.issn1935-7524
dc.identifier.urihttps://scholarbank.nus.edu.sg/handle/10635/232159
dc.description.abstractIn some applications, an experimental unit is composed of two distinct but related subunits. The response from such a unit is (X1,X2) but we observe only Y1 =min{X1,X2} and Y2 =max{X1,X2}, i.e., the subunit identities are not observed. We call (Y1,Y2) unordered paired observations. Based on unordered paired observations {(Y1i,Y2i)}ni=1,weare interested in whether the marginal distributions for X1 and X2 are identical. Testing methods are available in the literature under the assumptions that var(X1)=var(X2)andcov(X1,X2) = 0. However, by extensive simulation studies, we observe that when one or both assumptions are violated, these methods have inflated type I errors or much lower powers. In this paper, we study the likelihood ratio test statistics for various scenarios and explore their limiting distributions without these restrictive assumptions. Furthermore, we develop Bartlett correction formulae for these statistics to enhance their precision when the sample size is not large. Simulation studies and real-data examples are used to illustrate the efficacy of the proposed methods. © 2021, Institute of Mathematical Statistics. All rights reserved.
dc.publisherInstitute of Mathematical Statistics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceScopus OA2021
dc.subjectAdjusted limiting distribution
dc.subjectBartlett correction
dc.subjectCorrelated unordered pairs
dc.subjectLikelihood ratio test
dc.subjectTwo-sample test
dc.typeArticle
dc.contributor.departmentDEPT OF STATISTICS & APPLIED PROBABILITY
dc.description.doi10.1214/21-ejs1817
dc.description.sourcetitleElectronic Journal of Statistics
dc.description.volume15
dc.description.issue1
dc.description.page1661-1694
Appears in Collections:Elements
Staff Publications

Show simple item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
10_1214_21-ejs1817.pdf404.08 kBAdobe PDF

OPEN

NoneView/Download

SCOPUSTM   
Citations

2
checked on Jan 30, 2023

Page view(s)

20
checked on Feb 2, 2023

Google ScholarTM

Check

Altmetric


This item is licensed under a Creative Commons License Creative Commons