Vergleich des verallgemeinerten nichtzentralent-Tests mit dem Binomialtest

Zusammenfassung Es sei {F _,(x); –<<, >0} mitF _,(x)=F((x–)/)–F(x) eine standardisierte Verteilungsfunktion — die Familie der zulässigen Verteilungsfunktionen. Der (früher eingeführte) verallgemeinerte nichtzentralet-Test für die Hypothese {PP ₀} mitP:=F _,(x ₀) gegen die Alternative {P>P ₀} zum Niveau wird mit dem entsprechenden nichtparametrischen Test (Test für die Hypothese {pP ₀} über den Parameterp einer Binomialverteilung gegen die Alternative {p>P ₀}) verglichen. Für dent-Test wird die relative asymptotische Effizienz bestimmt.Beide Tests lassen sich als Tests für das zur WahrscheinlichkeitP ₀ gehörende Quantil einer Verteilungsfunktion interpretieren. Der klassische zentrale Student-Test ergibt sich als Spezialfall (F(x)=(x),P ₀=0,5).

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Summary Let {F _,(x);–<<, >0} withF _,(x ₀):=F((x–)/–F(x) a standarized distribution function — the family of admissible distribution functions. The (earlier introduced) generalized noncentralt-test for the hypothesis {PP ₀} withP:=F _,(x ₀) against the alternative {P>P ₀} at level of significance is compared with the corresponding nonparametric test (Binomial test). The relative asymptotic efficiency of thet-test is determined. Both kinds of tests can be interpreted as quantiltests. In caseF(x)=(x),P ₀=0,5 one gets the classical central Student-test.

     

Probleme gleichgewichtsorientierter Inflationserklärungen

Ohne ZusammenfassungHerrn Doz. Abele und Herrn Dr. Beinsen bin ich für die kritische Durchsicht dieser Arbeit zu Dank verpflichtet. Doz. Abele hat mir vor allem allgemeine Hinweise zum Stand der Theorie gegeben, die mich zu dieser Arbeit erst so recht anregten.     

Popularising Delphi method

The article reports on a methodical part of a combined substantive and methodical investigation experimenting with a new type of Policy Delphi method. The common problem defined for both parts was the question whether Delphi method could be transformed in an instrument of controlling technological change by employees. The question was answered positively by the participating (bank) employees, all union members engaged with an automatisation project, themselves. Self rating scales, an evaluation questionnaire and numerous data collected about the research process showed that the most relevant social categories of participants managed to serve as “experts” according to the high levels of cognition, effort, involvement and self-confidence required in a Delphi research project. Participants with low job level, women and non-trained union members joined in very well. The special steps required to broaden a successful participation of all categories, particular methods and techniques of information transmitting questioning and reporting, did not violate the quality of scientifically valid information gathering. So the result was a practical and scientific instrument.     

A probability inequality for ranges and its application to maximum range test procedures

Summary It is proved that for any fixed argument the sequence (P _k) of the distribution functions of the ranges ofk i.i.d. univariate random variables is log-concave if the random variables have a log-concave density. If the support of the distribution is an infinite interval and the density is monotonous then the theorem holds also with “log-convex” instead of “log-concave”. The resulting inequalities can be used by a quick algorithm for closed maximum range test procedures for all pairwise comparisons (Royen 1988, 1989a, 1989b). Under the above assumptions the application of this algorithm can be extended e.g. to pairwise comparisons of variances.     

The economics of urban yard space: An “implicit-market” model for housing attributes

A theoretical housing model is developed embodying the approach of the recent hedonic price literature. Instead of focusing on a scalar “housing service” consumption measure, the model portrays housing as a commodity with two attributes: floor space and yard space. Developers react to a consumer bid-rent function, which relates dwelling rent to floor space, yard space, and location, in choosing the profit-maximizing characteristics of their housing complexes. The spatial behavior of the developer's choice variables is investigated (an interesting question is whether yards are larger farther from the urban center), and a comparative static analysis of the housing market equilibrium is presented.