Estimating the Proportion of True Null Hypotheses in Multiple Testing Problems
The problem of estimating the proportion, π0, of the true null hypotheses in a multiple testing problem is important in cases where large scale parallel hypotheses tests are performed independently. While the problem is a quantity of interest in its own right in applications, the estimate of π0 can...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2016/3937056 |
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| _version_ | 1832552400071688192 |
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| author | Oluyemi Oyeniran Hanfeng Chen |
| author_facet | Oluyemi Oyeniran Hanfeng Chen |
| author_sort | Oluyemi Oyeniran |
| collection | DOAJ |
| description | The problem of estimating the proportion, π0, of the true null hypotheses in a multiple testing problem is important in cases where large scale parallel hypotheses tests are performed independently. While the problem is a quantity of interest in its own right in applications, the estimate of π0 can be used for assessing or controlling an overall false discovery rate. In this article, we develop an innovative nonparametric maximum likelihood approach to estimate π0. The nonparametric likelihood is proposed to be restricted to multinomial models and an EM algorithm is also developed to approximate the estimate of π0. Simulation studies show that the proposed method outperforms other existing methods. Using experimental microarray datasets, we demonstrate that the new method provides satisfactory estimate in practice. |
| format | Article |
| id | doaj-art-e00f9a43fd264169adb1aba4315a3694 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-e00f9a43fd264169adb1aba4315a36942025-02-03T05:58:48ZengWileyJournal of Probability and Statistics1687-952X1687-95382016-01-01201610.1155/2016/39370563937056Estimating the Proportion of True Null Hypotheses in Multiple Testing ProblemsOluyemi Oyeniran0Hanfeng Chen1Manufacturing, Toxicology and Applied Statistical Sciences, Janssen Research & Development, Spring House, PA 19002, USADepartment of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USAThe problem of estimating the proportion, π0, of the true null hypotheses in a multiple testing problem is important in cases where large scale parallel hypotheses tests are performed independently. While the problem is a quantity of interest in its own right in applications, the estimate of π0 can be used for assessing or controlling an overall false discovery rate. In this article, we develop an innovative nonparametric maximum likelihood approach to estimate π0. The nonparametric likelihood is proposed to be restricted to multinomial models and an EM algorithm is also developed to approximate the estimate of π0. Simulation studies show that the proposed method outperforms other existing methods. Using experimental microarray datasets, we demonstrate that the new method provides satisfactory estimate in practice.http://dx.doi.org/10.1155/2016/3937056 |
| spellingShingle | Oluyemi Oyeniran Hanfeng Chen Estimating the Proportion of True Null Hypotheses in Multiple Testing Problems Journal of Probability and Statistics |
| title | Estimating the Proportion of True Null Hypotheses in Multiple Testing Problems |
| title_full | Estimating the Proportion of True Null Hypotheses in Multiple Testing Problems |
| title_fullStr | Estimating the Proportion of True Null Hypotheses in Multiple Testing Problems |
| title_full_unstemmed | Estimating the Proportion of True Null Hypotheses in Multiple Testing Problems |
| title_short | Estimating the Proportion of True Null Hypotheses in Multiple Testing Problems |
| title_sort | estimating the proportion of true null hypotheses in multiple testing problems |
| url | http://dx.doi.org/10.1155/2016/3937056 |
| work_keys_str_mv | AT oluyemioyeniran estimatingtheproportionoftruenullhypothesesinmultipletestingproblems AT hanfengchen estimatingtheproportionoftruenullhypothesesinmultipletestingproblems |