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On the Critical Value Behaviour of Multiple Decision Procedures

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On the Critical Value Behaviour of Multiple Decision Procedures

Auteurs : H. Finner ; M. Roters

Source :

Scandinavian Journal of Statistics [ 0303-6898 ] ; 2000-09.

RBID : ISTEX:32048F325753CE9687E002A74B7D9EE58EF9AB27

Descripteurs français

Pascal (Inist)
- Comparaison multiple, Comportement asymptotique, Densité Lebesgue, Décision multiple, Fonction bêta, Intervalle confiance, Loi Cauchy, Loi Gumbel, Loi gamma, Loi normale, Procédure test Bonferroni, Procédure test multiple, Théorie décision, Valeur critique, Valeur extrême.

English descriptors

KwdEn :
- Asymptotic behavior, Beta function, Bonferroni test procedure, Cauchy distribution, Confidence interval, Critical value, Decision theory, Extreme value, Gamma distribution, Gaussian distribution, Gumbel distribution, Lebesgue density, Multiple comparison, Multiple decision, Multiple test procedure, asymptotic critical value behaviour, familywise error rate, hazard rate, independent p‐values, length of confidence intervals, multiple comparisons, multiple level, multiple test procedure, product‐type inequality, step‐down test, step‐up test.

Abstract

In this paper we investigate the asymptotic critical value behaviour of certain multiple decision procedures as e.g. simultaneous confidence intervals and simultaneous as well as stepwise multiple test procedures. Supposing that n hypotheses or parameters of interest are under consideration we investigate the critical value behaviour when n increases. More specifically, we answer e.g. the question by which amount the lengths of confidence intervals increase when an additional parameter is added to the statistical analysis. Furthermore, critical values of different multiple decision procedures as for instance step‐down and step‐up procedures will be compared. Some general theoretic results are derived and applied for various distributions.

Url:

https://api.istex.fr/document/32048F325753CE9687E002A74B7D9EE58EF9AB27/fulltext/pdf

DOI: 10.1111/1467-9469.00207

Affiliations:

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<term>Comportement asymptotique</term>
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On the Critical Value Behaviour of Multiple Decision Procedures

On the Critical Value Behaviour of Multiple Decision Procedures

Source :

Descripteurs français

English descriptors

Abstract

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