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| Title: | Chebyshev's inequality for non-parametric testing with small N and α in microarray research |
| Alternate Title: | Chebyshev's inequality for non-parametric testing with small N and alpha in microarray research |
| Author (s): | Allison, D.B. Beasley, T.M. Brand, J.P.L. Gadbury, Gary L. Mountz, J.D. Page, G.P. |
| Department/Lab Affiliations: | Cloud & Aerosol Science Lab Mathematics & Statistics |
| Keywords: | Tchebysheff's inequality alpha probability distribution |
| Issue Date: | 2004 |
| Publisher: | Royal Statistical Society |
| Citation: | Beasley TM, Page GP, Brand JPL, Gadbury GL, Mountz JD, Allison DB (2004). Chebyshev’s inequality for non-parametric testing with small N and α in microarray research. Journal of the Royal Statistical Society, Series C (Applied Statistics). 53, 95 – 108. |
| Abstract: | Microarrays are a powerful new technology that allow for the measurement of the expression of thousands of genes simultaneously. Owing to relatively high costs, sample sizes tend to be quite small. If investigators apply a correction for multiple testing, a very small p-value will be required to declare significance. We use modifications to Chebyshev's inequality to develop a testing procedure that is nonparametric and yields p-values on the interval [0, 1]. We evaluate its properties via simulation and show that it both holds the type I error rate below nominal levels in almost all conditions and can yield p-values denoting significance even with very small sample sizes and stringent corrections for multiple testing. |
| Type: | Article - Journal text |
| Copyright Notice: | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. FULL COPYRIGHT INFORMATION: |
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| title | Chebyshev's inequality for non-parametric testing with small N and α in microarray research |
| title.alternative | Chebyshev's inequality for non-parametric testing with small N and alpha in microarray research |
| contributor.author | Allison, D.B. |
| contributor.author | Beasley, T.M. |
| contributor.author | Brand, J.P.L. |
| contributor.author | Gadbury, Gary L. |
| contributor.author | Mountz, J.D. |
| contributor.author | Page, G.P. |
| contributor.deptlab | Cloud & Aerosol Science Lab |
| contributor.deptlab | Mathematics & Statistics |
| subject | Tchebysheff's inequality |
| subject | alpha |
| subject | probability distribution |
| date.issued | 2004 |
| publisher | Royal Statistical Society |
| identifier.URI | |
| identifier.URI | |
| identifier.citation | Beasley TM, Page GP, Brand JPL, Gadbury GL, Mountz JD, Allison DB (2004). Chebyshev’s inequality for non-parametric testing with small N and α in microarray research. Journal of the Royal Statistical Society, Series C (Applied Statistics). 53, 95 – 108. |
| description.abstract | Microarrays are a powerful new technology that allow for the measurement of the expression of thousands of genes simultaneously. Owing to relatively high costs, sample sizes tend to be quite small. If investigators apply a correction for multiple testing, a very small p-value will be required to declare significance. We use modifications to Chebyshev's inequality to develop a testing procedure that is nonparametric and yields p-values on the interval [0, 1]. We evaluate its properties via simulation and show that it both holds the type I error rate below nominal levels in almost all conditions and can yield p-values denoting significance even with very small sample sizes and stringent corrections for multiple testing. |
| type | Article - Journal |
| type.DCMIType | text |
| type.status | Postprint |
| rights | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. |
| rights.URI | |
| date.accessioned | 2007-04-11T17:00:48Z |
| date.available | 2007-04-11T17:00:48Z |
| identifier.persist.URI |