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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2021
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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) |
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multiple comparisons simultaneous inference type i error control Biotechnology TP248.13-248.65 Mathematics QA1-939 |
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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 |
work_keys_str_mv |
AT amywagler anefficientandflexiblemultiplicityadjustmentforchisquareendpoints AT melindamccann anefficientandflexiblemultiplicityadjustmentforchisquareendpoints AT amywagler efficientandflexiblemultiplicityadjustmentforchisquareendpoints AT melindamccann efficientandflexiblemultiplicityadjustmentforchisquareendpoints |
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1718443016230797312 |