An efficient and flexible multiplicity adjustment for chi-square endpoints

This manuscript proposes a fast and efficient multiplicity adjustment that strictly controls the type I error for a family of high-dimensional chi-square distributed endpoints. The method is flexible and may be efficiently applied to chi-square distributed endpoints with any positive definite correl...

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Autores principales: Amy Wagler, Melinda McCann
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Lenguaje:EN
Publicado: AIMS Press 2021
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Acceso en línea:https://doaj.org/article/876943596aee42279ffdc8082f45f782
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spelling oai:doaj.org-article:876943596aee42279ffdc8082f45f7822021-11-08T03:01:20ZAn efficient and flexible multiplicity adjustment for chi-square endpoints10.3934/mbe.20212531551-0018https://doaj.org/article/876943596aee42279ffdc8082f45f7822021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021253?viewType=HTMLhttps://doaj.org/toc/1551-0018This manuscript proposes a fast and efficient multiplicity adjustment that strictly controls the type I error for a family of high-dimensional chi-square distributed endpoints. The method is flexible and may be efficiently applied to chi-square distributed endpoints with any positive definite correlation structure. Controlling the family-wise error rate ensures that the results have a high standard of credulity due to the strict limitation of type I errors. Numerical results confirm that this procedure is effective at controlling familywise error, is far more powerful than utilizing a Bonferroni adjustment, is more computationally feasible in high-dimensional settings than existing methods, and, except for highly correlated data, performs similarly to less accessible simulation-based methods. Additionally, since this method controls the family-wise error rate, it provides protection against reproducibility issues. An application illustrates the use of the proposed multiplicity adjustment to a large scale testing example.Amy Wagler Melinda McCann AIMS Pressarticlemultiple comparisonssimultaneous inferencetype i error controlBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 4971-4986 (2021)
institution DOAJ
collection DOAJ
language EN
topic multiple comparisons
simultaneous inference
type i error control
Biotechnology
TP248.13-248.65
Mathematics
QA1-939
spellingShingle multiple comparisons
simultaneous inference
type i error control
Biotechnology
TP248.13-248.65
Mathematics
QA1-939
Amy Wagler
Melinda McCann
An efficient and flexible multiplicity adjustment for chi-square endpoints
description This manuscript proposes a fast and efficient multiplicity adjustment that strictly controls the type I error for a family of high-dimensional chi-square distributed endpoints. The method is flexible and may be efficiently applied to chi-square distributed endpoints with any positive definite correlation structure. Controlling the family-wise error rate ensures that the results have a high standard of credulity due to the strict limitation of type I errors. Numerical results confirm that this procedure is effective at controlling familywise error, is far more powerful than utilizing a Bonferroni adjustment, is more computationally feasible in high-dimensional settings than existing methods, and, except for highly correlated data, performs similarly to less accessible simulation-based methods. Additionally, since this method controls the family-wise error rate, it provides protection against reproducibility issues. An application illustrates the use of the proposed multiplicity adjustment to a large scale testing example.
format article
author Amy Wagler
Melinda McCann
author_facet Amy Wagler
Melinda McCann
author_sort Amy Wagler
title An efficient and flexible multiplicity adjustment for chi-square endpoints
title_short An efficient and flexible multiplicity adjustment for chi-square endpoints
title_full An efficient and flexible multiplicity adjustment for chi-square endpoints
title_fullStr An efficient and flexible multiplicity adjustment for chi-square endpoints
title_full_unstemmed An efficient and flexible multiplicity adjustment for chi-square endpoints
title_sort efficient and flexible multiplicity adjustment for chi-square endpoints
publisher AIMS Press
publishDate 2021
url https://doaj.org/article/876943596aee42279ffdc8082f45f782
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