Author: N. Balakrishnan
Publisher: Academic Press
ISBN: 0123977835
Category : Mathematics
Languages : en
Pages : 256
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Book Description
Chi-Squared Goodness of Fit Tests with Applications provides a thorough and complete context for the theoretical basis and implementation of Pearson’s monumental contribution and its wide applicability for chi-squared goodness of fit tests. The book is ideal for researchers and scientists conducting statistical analysis in processing of experimental data as well as to students and practitioners with a good mathematical background who use statistical methods. The historical context, especially Chapter 7, provides great insight into importance of this subject with an authoritative author team. This reference includes the most recent application developments in using these methods and models. Systematic presentation with interesting historical context and coverage of the fundamentals of the subject Presents modern model validity methods, graphical techniques, and computer-intensive methods Recent research and a variety of open problems Interesting real-life examples for practitioners
Author: C. Huber-Carol
Publisher: Springer Science & Business Media
ISBN: 1461201039
Category : Mathematics
Languages : en
Pages : 512
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Book Description
The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity. The book is divided into eight parts, each of which presents topics written by expert researchers in their areas. Key features include: * state-of-the-art exposition of modern model validity methods, graphical techniques, and computer-intensive methods * systematic presentation with sufficient history and coverage of the fundamentals of the subject * exposure to recent research and a variety of open problems * many interesting real life examples for practitioners * extensive bibliography, with special emphasis on recent literature * subject index This comprehensive reference work will serve the statistical and applied mathematics communities as well as practitioners in the field.
Author: Ralph B. D'Agostino
Publisher: CRC Press
ISBN: 9780824774875
Category : Mathematics
Languages : en
Pages : 590
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Book Description
Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction, and also collecting methods of testing for specific famous distributions, this useful reference is the first comprehensive review of the extensive literature on the subject. It surveysthe leading methods of testing fit . .. provides tables to make the tests available . .. assessesthe comparative merits of different test procedures . .. and supplies numerical examples to aidin understanding these techniques.Goodness-of-Fit Techniques shows how to apply the techniques . .. emphasizes testing for thethree major distributions, normal, exponential, and uniform . .. discusses the handling of censoreddata .. . and contains over 650 bibliographic citations that cover the field.Illustrated with tables and drawings, this volume is an ideal reference for mathematical andapplied statisticians, and biostatisticians; professionals in applied science fields, including psychologists, biometricians, physicians, and quality control and reliability engineers; advancedundergraduate- and graduate-level courses on goodness-of-fit techniques; and professional seminarsand symposia on applied statistics, quality control, and reliability.
Author: Timothy R.C. Read
Publisher: Springer Science & Business Media
ISBN: 1461245788
Category : Mathematics
Languages : en
Pages : 221
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Book Description
The statistical analysis of discrete multivariate data has received a great deal of attention in the statistics literature over the past two decades. The develop ment ofappropriate models is the common theme of books such as Cox (1970), Haberman (1974, 1978, 1979), Bishop et al. (1975), Gokhale and Kullback (1978), Upton (1978), Fienberg (1980), Plackett (1981), Agresti (1984), Goodman (1984), and Freeman (1987). The objective of our book differs from those listed above. Rather than concentrating on model building, our intention is to describe and assess the goodness-of-fit statistics used in the model verification part of the inference process. Those books that emphasize model development tend to assume that the model can be tested with one of the traditional goodness-of-fit tests 2 2 (e.g., Pearson's X or the loglikelihood ratio G ) using a chi-squared critical value. However, it is well known that this can give a poor approximation in many circumstances. This book provides the reader with a unified analysis of the traditional goodness-of-fit tests, describing their behavior and relative merits as well as introducing some new test statistics. The power-divergence family of statistics (Cressie and Read, 1984) is used to link the traditional test statistics through a single real-valued parameter, and provides a way to consolidate and extend the current fragmented literature. As a by-product of our analysis, a new 2 2 statistic emerges "between" Pearson's X and the loglikelihood ratio G that has some valuable properties.
Author: Stella Chess
Publisher: Routledge
ISBN: 1135825009
Category : Psychology
Languages : en
Pages : 247
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Book Description
Stella Chess and Alexander Thomas' new book illuminates one of the most significant theoretical and practical implications in professional publications on temperament today: the concept of goodness of fit. When individuals achieve accordance with the properties and expectations of their respective environments, they have attained goodness of fit, which ultimately enables their psychological growth and health. They can function on a healthy level with a potential for a positive life course. Beginning with a clear definition and explanation of the concept of goodness of fit, the book goes on to delineate the evolution of the goodness of fit concept, its clinical applications, and the biopsychosocial elements relevant to the goodness of fit model. The authors provide insightful step-by-step commentaries on individual case histories that concern such problems. Each case is unique and intriguing, and is reviewed by the authors in a compelling manner. As is appropriate to their research, they have wisely taken into account a wide variety of environmental expectations and demands-parental and other caregivers' child practices and goals, peer group judgments, special community values, as well as cultural and ethnic diversity. They also address possible educational rules and expectations, career stresses, sexual issues and marital conflicts. In the past, clinical applications of the concept of goodness of fit have been restricted to a modest number of community parent guidance temperament programs and have not received their due attention. In their recent work, however, Chess and Thomas, long-standing psychiatrists with forty years of clinical experience, step outside past boundaries and explore a panoply of clinical cases, including all age-periods, ranging from infancy to adulthood. Using the clinical data obtained from numerous case histories, the authors develop an insightful clinical system from which researchers and clinicians of mental health professionals, pediatricians and educators alike can benefit. Goodness of Fit: Clinical Applications, From Infancy through Adult Life aims to answer the question of how to create a healthy consonance between individuals and their environments in order to achieve optimal development, and will undoubtedly enhance both our understanding of psychological development and personality maturation as well as the clinical methods used to analyze them.
Author: Alexander Holmes
Publisher:
ISBN: 9781998109494
Category :
Languages : en
Pages : 0
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Book Description
Printed in color. Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.
Author: Kathryn Kozak
Publisher: Lulu.com
ISBN: 1329757254
Category : Education
Languages : en
Pages : 459
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Book Description
Statistics With Technology, Second Edition, is an introductory statistics textbook. It uses the TI-83/84 calculator and R, an open source statistical software, for all calculations. Other technology can also be used besides the TI-83/84 calculator and the software R, but these are the ones that are presented in the text. This book presents probability and statistics from a more conceptual approach, and focuses less on computation. Analysis and interpretation of data is more important than how to compute basic statistical values.
Author: Yuri Ingster
Publisher: Springer Science & Business Media
ISBN: 0387215808
Category : Mathematics
Languages : en
Pages : 471
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Book Description
This book presents the modern theory of nonparametric goodness-of-fit testing. It fills the gap in modern nonparametric statistical theory by discussing hypothesis testing and addresses mathematical statisticians who are interesting in the theory of non-parametric statistical inference. It will be of interest to specialists who are dealing with applied non-parametric statistical problems relevant in signal detection and transmission and in technical and medical diagnostics among others.
Author: J. C. W. Rayner
Publisher: John Wiley & Sons
ISBN: 0470824433
Category : Mathematics
Languages : en
Pages : 300
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Book Description
In this fully revised and expanded edition of Smooth Tests of Goodness of Fit, the latest powerful techniques for assessing statistical and probabilistic models using this proven class of procedures are presented in a practical and easily accessible manner. Emphasis is placed on modern developments such as data-driven tests, diagnostic properties, and model selection techniques. Applicable to most statistical distributions, the methodology described in this book is optimal for deriving tests of fit for new distributions and complex probabilistic models, and is a standard against which new procedures should be compared. New features of the second edition include: Expansion of the methodology to cover virtually any statistical distribution, including exponential families Discussion and application of data-driven smooth tests Techniques for the selection of the best model for the data, with a guide to acceptable alternatives Numerous new, revised, and expanded examples, generated using R code Smooth Tests of Goodness of Fit is an invaluable resource for all methodological researchers as well as graduate students undertaking goodness-of-fit, statistical, and probabilistic model assessment courses. Practitioners wishing to make an informed choice of goodness-of-fit test will also find this book an indispensible guide. Reviews of the first edition: "This book gives a very readable account of the smooth tests of goodness of fit. The book can be read by scientists having only an introductory knowledge of statistics. It contains a fairly extensive list of references; research will find it helpful for the further development of smooth tests." --T.K. Chandra, Zentralblatt für Mathematik und ihre Grenzgebiete, Band 73, 1/92' "An excellent job of showing how smooth tests (a class of goodness of fit tests) are generally and easily applicable in assessing the validity of models involving statistical distributions....Highly recommended for undergraduate and graduate libraries." --Choice "The book can be read by scientists having only an introductory knowledge of statistics. It contains a fairly extensive list of references; researchers will find it helpful for the further development of smooth tests."--Mathematical Reviews "Very rich in examples . . . Should find its way to the desks of many statisticians." --Technometrics
Author: Robert R. Sokal
Publisher: Macmillan
ISBN: 9780716724117
Category : Mathematics
Languages : en
Pages : 918
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Book Description
Offers students with little background in statistical analysis an introduction to a variety of statistical concepts and methods. In addition to the incorporation of computer calculation, this new edition expands on a number of important topics, including the revised Kolmogrov-Smirnov test.
