Contributions to the Theory of Rank Order Tests
Author : Meyer Dwass
Publisher :
Page : pages
File Size : 22,92 MB
Release : 1952
Category :
ISBN :
Author : Meyer Dwass
Publisher :
Page : pages
File Size : 22,92 MB
Release : 1952
Category :
ISBN :
Author : Zbynek Sidak
Publisher : Elsevier
Page : 453 pages
File Size : 25,56 MB
Release : 1999-04-06
Category : Mathematics
ISBN : 0080519105
The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. Asymptotic Methods Nonparametrics Convergence of Probability Measures Statistical Inference
Author : J. Sarangi
Publisher :
Page : 0 pages
File Size : 25,35 MB
Release : 1966
Category : Ranking and selection (Statistics)
ISBN :
The purpose of this study is to investigate the asymptotic behaviour of certain (conditional) rank tests for comparative experiments proposed by Hodges and Lehmann (1962), and their extensions and variations. The results obtained in this thesis are extensions of the results of Mehra and Sarangi (1965) (where the case of complete designs was discussed) to the case of balanced and partially balanced incomplete block designs. The methods employed are based on certain properties of the U-statistics derived by Hoeffding (1948). In Chapter I, a brief resume of the relevant earlier work has been given and the test proposed by Hodges and Lehmann described. In Chapter II, a simplified large sample version of this test is discussed, which reduces its application to reading the critical value from the chi-square tables. In Chapter III, the asymptotic distribution of the test statistic, under a sequence of alternatives approaching the null hypothesis has been found to follow a non-central chi-square law. This helps us to study the power properties and the Pitman efficiency of the test statistics in Chapter IV. Explicit numerical evaluations of the expressions for asymptotic efficiency, which has been limited to the normal form of the parent distribution, indicates a rather high degree of efficiency of the test. Chapters IV and V contain several remarks that follow from the results of our investigation, including a useful lower bound for the asymptotic efficiency of the investigated test relative to the classical F-test. Further investigations that will throw more light on our present findings have been suggested at suitable places.
Author : Bernard Lindgren
Publisher : CRC Press
Page : 650 pages
File Size : 45,99 MB
Release : 1993-10-01
Category : Mathematics
ISBN : 9780412041815
This classic textbook is suitable for a first course in the theory of statistics for students with a background in calculus, multivariate calculus, and the elements of matrix algebra.
Author : Jaroslav Hájek
Publisher :
Page : 306 pages
File Size : 13,29 MB
Release : 1967
Category : Mathematics
ISBN :
Kniha shrnuje nejnovější, většinou ještě neuveřejněné poznatky z teorie statistických pořadových testů, z nichž některé jsou dílem autorů knihy. Podává ucelený systematický výklad a zdůrazňuje přitom studium optimality a.
Author : Eplett William John Rowland
Publisher :
Page : 173 pages
File Size : 28,78 MB
Release : 1977
Category :
ISBN :
Author : Jaroslav Hájek
Publisher :
Page : 435 pages
File Size : 30,81 MB
Release : 1999
Category : Mathematics
ISBN : 9780126423501
The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. Key Features * Asymptotic Methods * Nonparametrics * Convergence of Probability Measures * Statistical Inference
Author : James Vandiver Bradley
Publisher :
Page : 392 pages
File Size : 13,62 MB
Release : 1960
Category : Nonparametric statistics
ISBN :
Author : United States. National Bureau of Standards
Publisher :
Page : 54 pages
File Size : 16,57 MB
Release : 1954
Category : Weights and measures
ISBN :
Author : D. A. Holton
Publisher : Springer
Page : 364 pages
File Size : 31,76 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540357025