How the Maximal Evidence of P -Values Against Point Null Hypotheses Depends on Sample Size.
Minimum Bayes factors are commonly used to transform two-sidedp-values to lower bounds on the posterior probability of the null hypothesis. Several proposals exist in the literature, but none of them depends on the sample size. However, the evidence of ap-value against a point null hypothesis is kno...
| Publicado en: | American Statistician Vol. 70; no. 4; pp. 335 - 342 |
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| Autores principales: | , |
| Formato: | Artículo |
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Taylor & Francis Ltd
Nov2016
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ssf&AN=119597767&site=ehost-live header: @attributes: shortDbName: ssf uiTerm: 119597767 longDbName: Social Sciences Full Text (H.W. Wilson) uiTag: AN controlInfo: bkinfo: jinfo: jid: 00031305 STT jtl: American Statistician issn: 00031305 maglogo: Y pubinfo: dt: Nov2016 vid: 70 iid: 4 pid: 377 pub: Taylor & Francis Ltd artinfo: ui: 119597767 10.1080/00031305.2016.1209128 ppf: 335 ppct: 7 formats: tig: atl: How the Maximal Evidence of P -Values Against Point Null Hypotheses Depends on Sample Size. aug: au: Held, Leonhard Ott, Manuela affil: Department of Biostatistics Epidemiology, Biostatistics and Prevention Institute, University of Zurich, Zurich, Switzerland su: Eyewitness accounts Null hypothesis False positive error Sampling (Process) Experimental design sug: subj: Eyewitness accounts Null hypothesis False positive error Sampling (Process) Experimental design keyword: Evidence F-Test Minimum Bayes factor p-value Sample size t-Test Evidence F-Test Minimum Bayes factor p-value Sample size t-Test ab: Minimum Bayes factors are commonly used to transform two-sidedp-values to lower bounds on the posterior probability of the null hypothesis. Several proposals exist in the literature, but none of them depends on the sample size. However, the evidence of ap-value against a point null hypothesis is known to depend on the sample size. In this article, we considerp-values in the linear model and propose new minimum Bayes factors that depend on sample size and converge to existing bounds as the sample size goes to infinity. It turns out that the maximal evidence of an exact two-sidedp-value increases with decreasing sample size. The effect of adjusting minimum Bayes factors for sample size is shown in two applications. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: N holdings: @attributes: islocal: N |
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