Rank Tests with Estimated Scores and Their Application PDF Download

Author: Georg Neuhaus
Publisher: Springer-Verlag
ISBN: 3322947629
Category : Technology & Engineering
Languages : de
Pages : 424

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Author: Konrad Behnen
Publisher: Teubner Skripten zur Mathematischen Stochastik
ISBN:
Category : Mathematics
Languages : en
Pages : 436

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Book Description
The general aim of this book is to present a new class of nonlinear rank tests for a variety of important testing problems. The need for such new procedures sterns from the fact that the classical linear rank tests are sensitive only for small classes of alternatives, while our nonlinear rank tests are designed to be sensitive for broad classes of alternatives. The development of the new proce­ dures is strongly influenced by the opinion that in many real world situations the classical shift assumption is too idealized. By introducing general nonpara­ metrie models we get rid of the shift assumption. For the two-sample situation a detailed motivation is given in Chapter l. Our theoretical results and many Monte Carlo simulations have convinced us that the proposed procedures are of real practical importance and should be used in statistical applications. Therefore in Chapter 2 we present a simple algorithmic description of the new rank tests-without stressing any mathe­ matical theory-and a step by step evaluation of numerical examples, whereas in Part 11 of the book (Chapters 2-6) we give a rigorous asymptotic theory of all proposals of Chapter 2. These chapters discuss different models and motivate the special proposals. Most of the concepts and of the theoretical results are based on our own work.

Author: Zbynek Sidak
Publisher: Elsevier
ISBN: 0080519105
Category : Mathematics
Languages : en
Pages : 453

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Book Description
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: Georg Neuhaus
Publisher: Vieweg+Teubner Verlag
ISBN: 9783519092827
Category : Technology & Engineering
Languages : de
Pages :

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Book Description

Author: Edgar Brunner
Publisher: Springer
ISBN: 303002914X
Category : Medical
Languages : en
Pages : 521

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Book Description
This book explains how to analyze independent data from factorial designs without having to make restrictive assumptions, such as normality of the data, or equal variances. The general approach also allows for ordinal and even dichotomous data. The underlying effect size is the nonparametric relative effect, which has a simple and intuitive probability interpretation. The data analysis is presented as comprehensively as possible, including appropriate descriptive statistics which follow a nonparametric paradigm, as well as corresponding inferential methods using hypothesis tests and confidence intervals based on pseudo-ranks. Offering clear explanations, an overview of the modern rank- and pseudo-rank-based inference methodology and numerous illustrations with real data examples, as well as the necessary R/SAS code to run the statistical analyses, this book is a valuable resource for statisticians and practitioners alike.

Author: Georg Neuhaus
Publisher: Vieweg+Teubner Verlag
ISBN: 9783519092810
Category : Technology & Engineering
Languages : de
Pages :

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Book Description

Author: Krishnan Namboodiri
Publisher: Academic Press
ISBN: 1483288889
Category : Business & Economics
Languages : en
Pages : 288

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Book Description
This is the first volume to present a comprehensive treatment of the theory and application of life table techniques. The emphasis is placed on applications, and the theory is presented in such a way that individuals with minimal knowledge of calculus and matrix algebra can follow the argument.

Author: F. Liese
Publisher: Springer Science & Business Media
ISBN: 0387731946
Category : Mathematics
Languages : en
Pages : 696

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Book Description
For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. All of the major topics are introduced at an elementary level, then developed incrementally to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. With its broad coverage of decision theory, this book fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.

Author: James C. Aubuchon
Publisher:
ISBN:
Category :
Languages : en
Pages : 37

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Book Description
The current status, including small-sample behavior and ease of computation, of rank-based estimates and tests in the general linear model is reviewed. For the important special case of Wilcoxon scores, details of application of various procedures are discussed. The three different testing methods considered may each be motivated by connecting it to one of three forms of the usual least-squares F statistic. Possible algorithms for computation of rank-based estimates and tests are presented. Each procedure is applied to an example using data. Finally, the technical assumptions made to obtain large-sample properties of these procedures, including the general-scores case, are outlined and discussed. (Author).

Author: E.L. Lehmann
Publisher: Springer Nature
ISBN: 3030705781
Category : Mathematics
Languages : en
Pages : 1016

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Book Description
The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.