Optimal Weighted Multiple-Testing Procedure for Clinical Trials

This paper describes a new method for testing randomized clinical trials with binary outcomes, which combines the O’Brien and Fleming (1979) multiple-testing procedure with optimal allocations and unequal weighted samples simultaneously. The O’Brien and Fleming method of group sequential testing is...

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Main Authors: Hanan Hammouri, Marwan Alquran, Ruwa Abdel Muhsen, Jaser Altahat
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/12/1996
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author Hanan Hammouri
Marwan Alquran
Ruwa Abdel Muhsen
Jaser Altahat
author_facet Hanan Hammouri
Marwan Alquran
Ruwa Abdel Muhsen
Jaser Altahat
author_sort Hanan Hammouri
collection DOAJ
description This paper describes a new method for testing randomized clinical trials with binary outcomes, which combines the O’Brien and Fleming (1979) multiple-testing procedure with optimal allocations and unequal weighted samples simultaneously. The O’Brien and Fleming method of group sequential testing is a simple and effective method with the same Type I error and power as a fixed one-stage chi-square test, with the option to terminate early if one treatment is clearly superior to another. This study modified the O’Brien and Fleming procedure, resulting in a more flexible new procedure, where the optimal allocation assists in allocating more subjects to the winning treatment without compromising the integrity of the study, while unequal weighting allows for different samples to be chosen for different stages of a trial. The new optimal weighted multiple-testing procedure (OWMP), based on simulation studies, is relatively robust to the added features because it showed a high preference for decreasing the Type I error and maintaining the power. In addition, the procedure was illustrated using simulated and real-life examples. The outcomes of the current study suggest that the new procedure is as effective as the original. However, it is more flexible.
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spelling doaj.art-96f2caec345847bcbbede3873eb2dc2c2023-11-23T17:48:01ZengMDPI AGMathematics2227-73902022-06-011012199610.3390/math10121996Optimal Weighted Multiple-Testing Procedure for Clinical TrialsHanan Hammouri0Marwan Alquran1Ruwa Abdel Muhsen2Jaser Altahat3Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanThis paper describes a new method for testing randomized clinical trials with binary outcomes, which combines the O’Brien and Fleming (1979) multiple-testing procedure with optimal allocations and unequal weighted samples simultaneously. The O’Brien and Fleming method of group sequential testing is a simple and effective method with the same Type I error and power as a fixed one-stage chi-square test, with the option to terminate early if one treatment is clearly superior to another. This study modified the O’Brien and Fleming procedure, resulting in a more flexible new procedure, where the optimal allocation assists in allocating more subjects to the winning treatment without compromising the integrity of the study, while unequal weighting allows for different samples to be chosen for different stages of a trial. The new optimal weighted multiple-testing procedure (OWMP), based on simulation studies, is relatively robust to the added features because it showed a high preference for decreasing the Type I error and maintaining the power. In addition, the procedure was illustrated using simulated and real-life examples. The outcomes of the current study suggest that the new procedure is as effective as the original. However, it is more flexible.https://www.mdpi.com/2227-7390/10/12/1996statistical algorithmsequential group testO’Brien and FlemingType I error and powersimulationsSAS software
spellingShingle Hanan Hammouri
Marwan Alquran
Ruwa Abdel Muhsen
Jaser Altahat
Optimal Weighted Multiple-Testing Procedure for Clinical Trials
Mathematics
statistical algorithm
sequential group test
O’Brien and Fleming
Type I error and power
simulations
SAS software
title Optimal Weighted Multiple-Testing Procedure for Clinical Trials
title_full Optimal Weighted Multiple-Testing Procedure for Clinical Trials
title_fullStr Optimal Weighted Multiple-Testing Procedure for Clinical Trials
title_full_unstemmed Optimal Weighted Multiple-Testing Procedure for Clinical Trials
title_short Optimal Weighted Multiple-Testing Procedure for Clinical Trials
title_sort optimal weighted multiple testing procedure for clinical trials
topic statistical algorithm
sequential group test
O’Brien and Fleming
Type I error and power
simulations
SAS software
url https://www.mdpi.com/2227-7390/10/12/1996
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AT ruwaabdelmuhsen optimalweightedmultipletestingprocedureforclinicaltrials
AT jaseraltahat optimalweightedmultipletestingprocedureforclinicaltrials