A multiple-testing approach to the multivariate Behrens-Fisher problem : with simulations and examples in SAS®

   In statistics, the Behrens Fisher problem is the problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the variances of the two populations are not assumed to be equal, based on two independent samples. In hi...

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Autor principal: Desai, Tejas, 19..-
Formato: Livre numérique
Idioma:Anglais
Publicado em: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edição:1st ed. 2013.
coleção:SpringerBriefs in Statistics
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Nota: L'impression du document génère 54 p.
Date de publication d après le site du fournisseur
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Edition sous un autre format:• A Multiple-Testing Approach to the Multivariate Behrens-Fisher Problem, Texte imprimé, 9781461464426
• A Multiple-Testing Approach to the Multivariate Behrens-Fisher Problem, Texte imprimé, 9781461464440
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520 |a    In statistics, the Behrens Fisher problem is the problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the variances of the two populations are not assumed to be equal, based on two independent samples. In his 1935 paper, Fisher outlined an  approach to the Behrens-Fisher problem.  Since high-speed computers were not available in Fisher s time, this approach was not implementable and was soon forgotten. Fortunately, now that high-speed computers are available, this approach can easily be implemented using just a desktop or a laptop computer. Furthermore, Fisher s approach was proposed for univariate samples. But this approach can also be generalized to the multivariate case.      In this monograph, we present the solution to the afore-mentioned multivariate generalization of the Behrens-Fisher problem.  We start out by presenting  a test of multivariate normality, proceed to test(s) of equality of covariance matrices, and end with our solution to the multivariate Behrens-Fisher problem. All methods proposed in this monograph will be include both the randomly-incomplete-data case as well as the complete-data case. Moreover, all methods considered in this monograph will be tested using both simulations and examples. 
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