Sample Size Calculation for Controlling False Discovery Proportion
The false discovery proportion (FDP), the proportion of incorrect rejections among all rejections, is a direct measure of abundance of false positive findings in multiple testing. Many methods have been proposed to control FDP, but they are too conservative to be useful for power analysis. Study des...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2012/817948 |
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| author | Shulian Shang Qianhe Zhou Mengling Liu Yongzhao Shao |
| author_facet | Shulian Shang Qianhe Zhou Mengling Liu Yongzhao Shao |
| author_sort | Shulian Shang |
| collection | DOAJ |
| description | The false discovery proportion (FDP), the proportion of incorrect rejections among all rejections, is a direct measure of abundance of false positive findings in multiple testing. Many methods have been proposed to control FDP, but they are too conservative to be useful for power analysis. Study designs for controlling the mean of FDP, which is false discovery rate, have been commonly used. However, there has been little attempt to design study with direct FDP control to achieve certain level of efficiency. We provide a sample size calculation method using the variance formula of the FDP under weak-dependence assumptions to achieve the desired overall power. The relationship between design parameters and sample size is explored. The adequacy of the procedure is assessed by simulation. We illustrate the method using estimated correlations from a prostate cancer dataset. |
| format | Article |
| id | doaj-art-c8f9c7e12f824a958491799561412475 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-c8f9c7e12f824a9584917995614124752025-02-03T06:08:31ZengWileyJournal of Probability and Statistics1687-952X1687-95382012-01-01201210.1155/2012/817948817948Sample Size Calculation for Controlling False Discovery ProportionShulian Shang0Qianhe Zhou1Mengling Liu2Yongzhao Shao3Division of Biostatistics, New York University School of Medicine, New York, NY 10016, USANovartis Institutes for Biomedical Research, Cambridge, MA 02139, USADivision of Biostatistics, New York University School of Medicine, New York, NY 10016, USADivision of Biostatistics, New York University School of Medicine, New York, NY 10016, USAThe false discovery proportion (FDP), the proportion of incorrect rejections among all rejections, is a direct measure of abundance of false positive findings in multiple testing. Many methods have been proposed to control FDP, but they are too conservative to be useful for power analysis. Study designs for controlling the mean of FDP, which is false discovery rate, have been commonly used. However, there has been little attempt to design study with direct FDP control to achieve certain level of efficiency. We provide a sample size calculation method using the variance formula of the FDP under weak-dependence assumptions to achieve the desired overall power. The relationship between design parameters and sample size is explored. The adequacy of the procedure is assessed by simulation. We illustrate the method using estimated correlations from a prostate cancer dataset.http://dx.doi.org/10.1155/2012/817948 |
| spellingShingle | Shulian Shang Qianhe Zhou Mengling Liu Yongzhao Shao Sample Size Calculation for Controlling False Discovery Proportion Journal of Probability and Statistics |
| title | Sample Size Calculation for Controlling False Discovery Proportion |
| title_full | Sample Size Calculation for Controlling False Discovery Proportion |
| title_fullStr | Sample Size Calculation for Controlling False Discovery Proportion |
| title_full_unstemmed | Sample Size Calculation for Controlling False Discovery Proportion |
| title_short | Sample Size Calculation for Controlling False Discovery Proportion |
| title_sort | sample size calculation for controlling false discovery proportion |
| url | http://dx.doi.org/10.1155/2012/817948 |
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