6,622 research outputs found

    The nonparametric Behrens-Fisher problem: Asymptotic theory and a small-sample approximation

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    A generalization of the Behrens-Fisher problem for two samples is examined in a nonparametric model. It is not assumed that the underlying distribution functions are continuous so that data with arbitrary ties can be handled. A rank rest is considered where the asymptotic variance is estimated consistently by using the ranks over all observations as well as the ranks within each sample. The consistency of the estimator is derived in the appendix. For small samples (n(1), n(2) greater than or equal to 10), a simple approximation by a central t-distribution is suggested where the degrees of freedom are taken from the Satterthwaite-Smith-Welch approximation in the parametric Behrens-Fisher problem. It is demonstrated by means of a simulation study that the Wilcoxon-Mann-Whitney-test may be conservative or liberal depending on the ratio of the sample sizes and the variances of the underlying distribution functions. For the suggested approximation, however, it turns out that the nominal level is maintained rather accurately. The suggested nonparametric procedure is applied to a data set from a clinical trial. Moreover, a confidence interval for the nonparametric treatment effect is given

    The multivariate nonparametric Behrens-Fisher problem

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    In this paper, we consider the multivariate case of the so-called nonparametric Behrens-Fisher problem where two samples with independent multivariate observations are given and the equality of the marginal distribution functions under the hypothesis in the two groups is not assumed. Moreover, we do not require the continuity of the marginal distribution functions so that data with ties and, particularly, multivariate-ordered categorical data are covered by this model. A multivariate relative treatment effect is defined which can be estimated by using the mid-ranks of the observations within each component and we derive the asymptotic distribution of this estimator. Moreover, the unknown asymptotic covariance matrix of the centered vector of the estimated relative treatment effects is estimated and its L-consistency is proved. To test the hypothesis of no treatment effect, we consider the rank version of the Wald-type statistic (as used in Puri and Sen, Nonparametric Methods in Multivariate Analysis, Wiley, New York, 1971) and the rank version of the ANOVA-type statistic which was suggested by Brunner et a]. [J. Amer. Statist. Assoc. 92 (1997) 1494-1502] for univariate nonparametric models. Simulations show that the ANOVA-type statistic appears to maintain the pre-assigned level of the test quite accurately (even for rather small sample sizes) while the Wald-type statistic leads to more or less liberal decisions. Regarding the power, none of the two statistics is uniformly superior to the other. (C) 2002 Elsevier Science B.V. All rights reserved

    [Rezension zu:] Jörn Steigerwald u. Rudolf Behrens (Hg.): Räume des Subjekts um 1800

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    Rezension zu Jörn Steigerwald u. Rudolf Behrens (Hg.): Räume des Subjekts um 1800. Zur imaginativen Selbstverortung des Individuums zwischen Spätaufklärung und Romantik. Wiesbaden (Harrassowitz) 2010. 286 S. Der aus der gleichnamigen Tagung 2007 in Bochum hervorgegangene Sammelband zu Subjektentwürfen und deren Raumbezug respektive dessen Erfahrung und Konzeptionierung versammelt mit romanistischem Schwerpunkt zwölf einander ergänzende Beiträge

    Mond van het Haringvliet

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    Er is onderzoek gedaan naar de sedimentbeweging ten gevolge van golven en getijstromen voor de mond van het Haringvliet. Het vooronderzoek is alleen gedaan door A Zwols; "Een onderzoek naar de invloed van golven op de mond van het Haringenvliet". Behrens heeft ook een eigen vooronderzoek gedaan over spiraalstromen, maar deze is los upgeload bij de repository.Hydraulic EngineeringCivil Engineering and Geoscience

    A detailed account of Behrens proof of Bott periodicity

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    We give a detailed account of Behrens' proof of real and complex Bott periodicity theorem which is based on the ideas by McDuff. We include thorough computations and some intuition behind constructions and con- cepts. The proof is done by repeated constructions of certain quasifibra- tions with contractible total spaces in order to determine the iterated loop spaces of U and O.Vi gir en detaljert redegjørelse av Behrens' bevis for reell og kompleks Bott periodisitetsteorem som er basert på ideene til McDuff. Vi inklud- erer fullstendige bergegninger og litt intuisjon bak konstruksjoner og kon- septer. Beviset utføres gjennom repeterende konstruksjoner av visse kvasi- fibreringer med kontraktible totale rom for å bestemme de iterative løkkerommene til U og O

    Writing Now, Reading Now: Peter Behrens

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    Peter Behrens's novel "The Law of Dreams" won the Governor-General's Award, Canada's most prestigious book prize. He's the author of a second novel, "The O'Briens," and the story collection "Nightdriving." His fiction and nonfiction have appeared in The Atlantic Monthly, Tin House, Brick, Best Canadian Stories and many anthologies. He is the Fall 2013 Wichita State Visiting Distinguished Fiction Writer

    A detailed account of Behrens proof of Bott periodicity

    No full text
    We give a detailed account of Behrens' proof of real and complex Bott periodicity theorem which is based on the ideas by McDuff. We include thorough computations and some intuition behind constructions and con- cepts. The proof is done by repeated constructions of certain quasifibra- tions with contractible total spaces in order to determine the iterated loop spaces of U and O

    Narrative Verfahren und mediale Bedingungen. Überlegungen zur Analyse mündlicher und schriftlicher Erzählungen

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    Ohlhus S. Narrative Verfahren und mediale Bedingungen. Überlegungen zur Analyse mündlicher und schriftlicher Erzählungen. In: Behrens U, Gätje O, eds. Mündliches und schriftliches Handeln im Deutschunterricht. Wie Themen entfaltet werden. Positionen der Deutschdidaktik. Peter Lang; 2016: 39-65
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