Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s Model

In clinical studies, paired binary metadata are often encountered during collecting information from paired organs or parts. The risk difference, relative risk ratio, and odds ratios of response rates are widely used to measure cured effects for such data. Under Dallal’s model, the paper extends the...

Full description

Bibliographic Details
Main Authors: Hengyi Zhao, Xiaojuan Wang, Jingwen Bian, Shenglong Chen, Zhiming Li
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2023/7691732
_version_ 1826831820023398400
author Hengyi Zhao
Xiaojuan Wang
Jingwen Bian
Shenglong Chen
Zhiming Li
author_facet Hengyi Zhao
Xiaojuan Wang
Jingwen Bian
Shenglong Chen
Zhiming Li
author_sort Hengyi Zhao
collection DOAJ
description In clinical studies, paired binary metadata are often encountered during collecting information from paired organs or parts. The risk difference, relative risk ratio, and odds ratios of response rates are widely used to measure cured effects for such data. Under Dallal’s model, the paper extends these measures to the general case in g groups. We propose eight test statistics for various functions when the dependency measures γii=1,…,g are equal or not. Simulation results show that the Score and Rosner-type tests can produce robust empirical type I error rates, while Wald-type and likelihood ratio tests have better power in testing the risk difference, relative risk ratio, and odds ratios. Finally, two real examples illustrate our proposed method’s practicability.
first_indexed 2024-03-11T22:34:07Z
format Article
id doaj.art-d0b6c064d01c4ff1b9f65c5de85d61a5
institution Directory Open Access Journal
issn 1099-0526
language English
last_indexed 2025-02-16T10:06:37Z
publishDate 2023-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj.art-d0b6c064d01c4ff1b9f65c5de85d61a52025-02-03T01:29:49ZengWileyComplexity1099-05262023-01-01202310.1155/2023/7691732Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s ModelHengyi Zhao0Xiaojuan Wang1Jingwen Bian2Shenglong Chen3Zhiming Li4College of Mathematics and System SciencesCollege of Mathematics and System SciencesCollege of Mathematics and System SciencesCollege of Mathematics and System SciencesCollege of Mathematics and System SciencesIn clinical studies, paired binary metadata are often encountered during collecting information from paired organs or parts. The risk difference, relative risk ratio, and odds ratios of response rates are widely used to measure cured effects for such data. Under Dallal’s model, the paper extends these measures to the general case in g groups. We propose eight test statistics for various functions when the dependency measures γii=1,…,g are equal or not. Simulation results show that the Score and Rosner-type tests can produce robust empirical type I error rates, while Wald-type and likelihood ratio tests have better power in testing the risk difference, relative risk ratio, and odds ratios. Finally, two real examples illustrate our proposed method’s practicability.http://dx.doi.org/10.1155/2023/7691732
spellingShingle Hengyi Zhao
Xiaojuan Wang
Jingwen Bian
Shenglong Chen
Zhiming Li
Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s Model
Complexity
title Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s Model
title_full Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s Model
title_fullStr Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s Model
title_full_unstemmed Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s Model
title_short Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s Model
title_sort homogeneity test of response rate functions in bilateral correlated data under dallal s model
url http://dx.doi.org/10.1155/2023/7691732
work_keys_str_mv AT hengyizhao homogeneitytestofresponseratefunctionsinbilateralcorrelateddataunderdallalsmodel
AT xiaojuanwang homogeneitytestofresponseratefunctionsinbilateralcorrelateddataunderdallalsmodel
AT jingwenbian homogeneitytestofresponseratefunctionsinbilateralcorrelateddataunderdallalsmodel
AT shenglongchen homogeneitytestofresponseratefunctionsinbilateralcorrelateddataunderdallalsmodel
AT zhimingli homogeneitytestofresponseratefunctionsinbilateralcorrelateddataunderdallalsmodel