Monotonicity of Rank Statistics in some Non–parametric: Testing Problems

For some non–parametric testing problems (one–sided two–sample problem, k –sample trend problem, testing independence against positive dependence) a partial ordering, denoted by ≥, over the alternatives is defined. This partial ordering expresses the strength of the deviation from the null–hypothesis. All familiar rank tests turn out to become more powerful under "increasing" alternatives; that is, all familiar rank statistics preserve the ordering stochastically in samples whenever it is present between underlying distributions. As a tool, the sample equivalence of ≥ is introduced as a partial ordering over pairs of permutations. Functions, defined on pairs of permutations, which preserve this ordering are studied.     

Analytic derivation of sociometric dimensions

Dimensional analysis has been defined variously as the synthesis of dimensionless variables and as a way of spatially representing data. While in sociometrics, one may not be able to devise models resembling those of the physical sciences because of the complexity of many social situations, one may in some cases successfully apply the techniques of classic dimensional analysis and get empirically valid results. More often we derive with analytic methods from the social sciences different kinds of dimensional frameworks in which to represent data. This paper will compare these approaches to the study of relationships and give examples of where each might be appropriate. Finally, a classification of the analytical methods will be presented.     

An empirical investigation of monetary effects on private consumption expenditures in Austria

This paper presents an econometric investigation of monetary effects on private consumption expenditures in Austria. It tries to add the empirical aspect to the theoretical problem of the relationship between monetary and real sector of an economy.Patinkins theory of the real balance effect provides the link between theoretical and empirical aspects. Taking into consideration further assumptions on aggregation, dynamics and problems of definition of variables, consumption functions of different aggregation levels are specified. Including effects of interest rates and credits one arrives at a first assessment of monetary effects on private consumption expenditures as found from single equation estimates. Significant credit and wealth effects are obtained. Later, systems of equations are estimated and used to investigate real—monetary sector interaction. They allow also a dynamic analysis.In presenting the sequence of microeconomic foundations, further assumptions and macroeconomic functions and systems built upon, it is thought to clarify the connection to traditional theory of real—monetary sectors relationship. It might also give an idea about the resulting problems for meaningful empirical research in this area.

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Zusammenfassung Diese Arbeit beschäftigt sich mit der ökonometrischen Untersuchung monetärer Effekte auf private Konsumausgaben in Österreich. Es wird damit versucht, dem theoretischen Problem der Beziehungen zwischen monetärem und realem Sektor der Wirtschaft einen empirischen Aspekt, der die österreichischen Verhältnisse betrifft, zur Seite zu stellen. Das Bindeglied zwischen Theorie und Empirie stelltPatinkins Theorie des Realkasseneffektes dar, die unter Zuhilfenahme weiterer Annahmen über Aggregation, Definitionen und Dynamik zur Spezifikation von aggregierten und disaggregierten Konsumfunktionen führt. Ergänzt durch Zins- und Krediteffekte läßt sich an Hand von Einzelgleichungen eine erste Einschätzung monetärer Wirkungen auf den privaten Konsum und seine Komponenten durchführen. Es können signifikante Kredit- und Vermögenseffekte festgestellt werden. In diesem Zusammenhang wird auch die Hypothese überprüft, ob die Grenzneigungen zum Konsum aus dem verfügbaren Realeinkommen und aus dem Realfinanzvermögen gleich sind, wie dies durch die Annahme eines kurzfristigen Planungshorizontes impliziert wird.Um die Interaktion von realem und monetärem Sektor zu analysieren, wird ein Gleichungs-system formuliert und geschätzt. Daraus lassen sich Unterschiede zu Einzelgleichungsergebnissen aufzeigen. Mittels alternativer Spezifikation der Konsumgleichungen und der Gleichung des monetären Sektors können Vermögens-, Kredit- und Zinseffekte auch im dynamischen Zusammenhang untersucht werden.Die Aufeinanderfolge von mikroökonomischen Grundlagen, weiterer Annahmen, makroökonomischen Funktionen und schließlich Systemen, soll den Zusammenhang zur traditionellen Theorie der Beziehungen zwischen Geld- und Realsektor verdeutlichen und auf die daraus entstehenden Probleme für eine adäquate empirische Untersuchung hinweisen.

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A preliminary version of this paper was presented at the Winter Meeting of the Econometric Society at Sindelfingen (January 9–11, 1978). It constitutes a condensed version of a project on Money and Private Consumption conducted at the Institute of Econometrics, TU—Vienna, under Prof.G. Tintner. The author is indebted to Prof. Tintner for helpful comments and to Dipl. Ing.R. Rieder for assisting in the computations and providing computer programs. The project was supported financially by the Jubiläusmfonds of the Austrian National Bank.     

EFFECT OF GROUPING OF DATA ON THE DIVERGENCE BETWEEN LASPEYRES AND PAASCHE FORMS OF QUANTUM INDEXES*

Historical data for the manufacturing industry in the United States and United Kingdom are quoted, showing in most cases divergences between Laspeyres and Paasche forms of the quantum index that are by no means negligible. When the Paasche index for two of the series is recalculated with quantity indicators for industries instead of for products, the divergence is greatly reduced, and when quantity indicators for industry groups are substituted it almost disappears. This raises some questions about the practices of econometricians and statisticians, which are discussed. In a mathematical appendix by E. R. Coleman it is suggested that the grouping effect referred to does not depend on the particular way in which the data are grouped in most quantum indexes.     

The use of statistical techniques in par-level management

The total quality management movement has allowed the reintroduction of statistics in the materials management workplace. Statistical methods can be applied to the par level management process with significant results.