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Closed subset selection procedures for selecting good populations

Identifieur interne : 002A64 ( Main/Exploration ); précédent : 002A63; suivant : 002A65

Closed subset selection procedures for selecting good populations

Auteurs : H. Finner [Allemagne] ; G. Giani [Allemagne]

Source :

Journal of Statistical Planning and Inference [ 0378-3758 ] ; 1994.

RBID : ISTEX:68630E12A560B28F29068BC9643FD943A62982B1

Descripteurs français

Pascal (Inist)
- Configuration moindre favorable, Echantillonnage, Etendue, Loi Student, Loi normale, Problème sélection, Procédure test fermé, Sélection sous ensemble, Test multiple, configuration paramètre.

English descriptors

KwdEn :
- Gaussian distribution, Range, Sampling, Selection problem, Student distribution.

Abstract

The problem of selecting a subset containing all good treatments is considered. It is shown that under mild conditions the class of procedures deciding correctly with at least a prespecified probability P* is equivalent in some sense to the class of all consonant and coherent multiple tests at multiple level 1 − P* for a certain system of hypotheses. The equivalence relationship can be used to construct the so-called closed subset selection procedures by applying the well-known principle of closed test procedures. These procedures are more powerful than their single-step counterparts, the so-called natural selection procedures, in the sense that the selected subset of a closed selection procedure is never larger but often smaller than the selected subset of the corresponding natural decision rule. For a sampling statistic having a Lebesgue density with location parameter, analytical results are given concerning the critical values necessary to carry out the closed subset selection procedure. The normal case with both known and unknown common variance is treated in detail.

Url:

https://api.istex.fr/document/68630E12A560B28F29068BC9643FD943A62982B1/fulltext/pdf

DOI: 10.1016/0378-3758(94)90034-5

Affiliations:

Allemagne

Le document en format XML

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<front><div type="abstract" xml:lang="en">The problem of selecting a subset containing all good treatments is considered. It is shown that under mild conditions the class of procedures deciding correctly with at least a prespecified probability P* is equivalent in some sense to the class of all consonant and coherent multiple tests at multiple level 1 − P* for a certain system of hypotheses. The equivalence relationship can be used to construct the so-called closed subset selection procedures by applying the well-known principle of closed test procedures. These procedures are more powerful than their single-step counterparts, the so-called natural selection procedures, in the sense that the selected subset of a closed selection procedure is never larger but often smaller than the selected subset of the corresponding natural decision rule. For a sampling statistic having a Lebesgue density with location parameter, analytical results are given concerning the critical values necessary to carry out the closed subset selection procedure. The normal case with both known and unknown common variance is treated in detail.</div>
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Closed subset selection procedures for selecting good populations

Closed subset selection procedures for selecting good populations

Source :

Descripteurs français

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

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