Sind in einer statistischen Analyse mehr als eine Variationsursache zu berücksichtigen_ so zerfällt die Gesamtvariation in mehrere Komponenten. Für diese sind in der Regel auch Beziehungen oder Ordnungen bekannt. Aber keine der bekannten Schätztheorien ist in der Lage, diese Ordnungen auch...

A class of self-designing clinical trials is considered which according to an effective but simple, finite learning algorithm consists of automatically adaptively planned weighted group sequential trials with a decision about rejection of the null-hypothesis at each step, but the full...

Different estimation methods for covariance parameters in meta-analyses can result in conflicting p-values concerning the test of treatment effect. We propose a valid method to overcome this problem at least partially by introducing a new estimator for the standard deviation of the common...

In many fields of applications, test statistics are obtained by combining estimates from several experiments, studies or centres of a multicentre trial. The commonly used test procedure to judge the evidence of a common overall effect can result in a considerable overestimation of the...

In many meta-analysis cases the estimator of the overall effect in independent trials or experiments leads to unjustified significant results. This paper considers trials with two arms where the summary statistic of interest is either the mean difference or the risk difference. By using...

Im Mess- und Prüfwesen bilden Ringversuche ein Fundament der Qualitätssicherung. Im Mittelpunkt dieses interlaboratoriellen Ringversuchs steht die Messqualität der teilnehmenden Labore. Zudem bietet der Ringversuch die Möglichkeit eines Erfahrungsaustausches, der in einer Verbesserung der...

In this paper we derive asymptotic x2-tests for general linear hypotheses on variance components using repeated variance components models. In two examples, the two-way nested classification model and the two-way crossed classification model with interaction, we explicitly investigate the...

In a general variance component model with positive variance components a short-cut method is presented that yields almost everywhere for these components positive estimators that are invariant with respect to mean value translation and stay near the unbiasedness.