# Les P-values comme votes d'experts

ESAIM: Probability and Statistics (2010)

- Volume: 4, page 191-204
- ISSN: 1292-8100

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topMorel, Guy. "Les P-values comme votes d'experts." ESAIM: Probability and Statistics 4 (2010): 191-204. <http://eudml.org/doc/197743>.

@article{Morel2010,

abstract = {
The p-values are often implicitly used as a measure of evidence for the
hypotheses of the tests. This practice has been analyzed with different approaches. It is generally
accepted for the one-sided hypothesis problem, but it is often criticized for the two-sided hypothesis
problem. We analyze this practice with a new approach to statistical inference. First we select good
decision rules without using a loss function, we call them experts. Then we define a probability
distribution on the space of experts. The measure of evidence for a hypothesis is the inductive
probability of experts that decide this hypothesis.
},

author = {Morel, Guy},

journal = {ESAIM: Probability and Statistics},

keywords = {Théorie de la décision; tests; p-values; seuils minimum de rejet; hypothèses
unilatérales et bilatérales.; unilateral hypothesis; bilateral hypothesis},

language = {eng},

month = {3},

pages = {191-204},

publisher = {EDP Sciences},

title = {Les P-values comme votes d'experts},

url = {http://eudml.org/doc/197743},

volume = {4},

year = {2010},

}

TY - JOUR

AU - Morel, Guy

TI - Les P-values comme votes d'experts

JO - ESAIM: Probability and Statistics

DA - 2010/3//

PB - EDP Sciences

VL - 4

SP - 191

EP - 204

AB -
The p-values are often implicitly used as a measure of evidence for the
hypotheses of the tests. This practice has been analyzed with different approaches. It is generally
accepted for the one-sided hypothesis problem, but it is often criticized for the two-sided hypothesis
problem. We analyze this practice with a new approach to statistical inference. First we select good
decision rules without using a loss function, we call them experts. Then we define a probability
distribution on the space of experts. The measure of evidence for a hypothesis is the inductive
probability of experts that decide this hypothesis.

LA - eng

KW - Théorie de la décision; tests; p-values; seuils minimum de rejet; hypothèses
unilatérales et bilatérales.; unilateral hypothesis; bilateral hypothesis

UR - http://eudml.org/doc/197743

ER -

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- * Recherche réalisée dans le cadre du LAST et du CNRS UPRES-A 6083 de Tours..

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