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Author : Belle Chen Ang
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.E/5 ( download)
Download or read book A Comparison of Power Between Chi-square Goodness of Fit Test and Likelihood Ratio Test written by Belle Chen Ang and published by . This book was released on 1964 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lee D. Kaiser
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Power of the X Squared Goodness of Fit Test at Signal Plus Noise Alternatives written by Lee D. Kaiser and published by . This book was released on 1977 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chi square goodness of fit test is widely used as a means of validation of a probability model. Acceptance of a probability model on the basis of a chi square test is a dangerous procedure in the absence of a thorough knowledge of the power of the test for a broad class of reasonable alternatives. The power of the chi square test is examined via simulation at signal plus noise alternatives to the geometric and the Poisson distribution, and the power is seen to compare unfavorably with that of the likelihood ratio test. Likelihood ratio tests are thus advanced as goodness of fit criteria when signal plus noise alternatives are deemed relevant. (Author).
Author : Brian Theodore Wright
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (64 download)
Download or read book A Comparison of the Exact and Approximate Power of the Chi-Square Goodness-of-Fit Test written by Brian Theodore Wright and published by . This book was released on 1971 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis presents a numerical comparison of the exact and approximate powers of the chi-square goodness-of-fit test for small numbers of classes and small sample sizes for the equiprobable null hypothesis. The comparison was performed using an IBM 360 computer and the computational details are presented within the thesis. In addition a comparison of critical points was conducted for the chi-square distribution and the associated exact, (multinomial), distribution. The results of the power comparisons show that the approximate power is surprisingly good and is recommended as an efficient method for determining type two error associated with the test. Further, use of the chi-square distribution for determining a critical point is reinforced through the numerical comparison of significance levels. (Author).
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (227 download)
Download or read book A Comparison of the Exact and Approximate Power of the Chi-Square Goodness-of-Fit Test written by and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis presents a numerical comparison of the exact and approximate powers of the chi-square goodness-of-fit test for small numbers of classes and small sample sizes for the equiprobable null hypothesis. The comparison was performed using an IBM 360 computer and the computational details are presented within the thesis. In addition a comparison of critical points was conducted for the chi-square distribution and the associated exact, (multinomial), distribution. The results of the power comparisons show that the approximate power is surprisingly good and is recommended as an efficient method for determining type two error associated with the test. Further, use of the chi-square distribution for determining a critical point is reinforced through the numerical comparison of significance levels. (Author).
Author : Mikhail S. Nikulin
Publisher : John Wiley & Sons
ISBN 13 : 1119427630
Total Pages : 130 pages
Book Rating : 4.1/5 (194 download)
Download or read book Chi-squared Goodness-of-fit Tests for Censored Data written by Mikhail S. Nikulin and published by John Wiley & Sons. This book was released on 2017-06-29 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the problems of construction and application of chi-squared goodness-of-fit tests for complete and censored data. Classical chi-squared tests assume that unknown distribution parameters are estimated using grouped data, but in practice this assumption is often forgotten. In this book, we consider modified chi-squared tests, which do not suffer from such a drawback. The authors provide examples of chi-squared tests for various distributions widely used in practice, and also consider chi-squared tests for the parametric proportional hazards model and accelerated failure time model, which are widely used in reliability and survival analysis. Particular attention is paid to the choice of grouping intervals and simulations. This book covers recent innovations in the field as well as important results previously only published in Russian. Chi-squared tests are compared with other goodness-of-fit tests (such as the Cramer-von Mises-Smirnov, Anderson-Darling and Zhang tests) in terms of power when testing close competing hypotheses.
Author : C. Huber-Carol
Publisher : Springer Science & Business Media
ISBN 13 : 1461201039
Total Pages : 512 pages
Book Rating : 4.4/5 (612 download)
Download or read book Goodness-of-Fit Tests and Model Validity written by C. Huber-Carol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Charles M. Judd
Publisher : Routledge
ISBN 13 : 1136874100
Total Pages : 329 pages
Book Rating : 4.1/5 (368 download)
Download or read book Data Analysis written by Charles M. Judd and published by Routledge. This book was released on 2011-03-15 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This completely rewritten classic text features many new examples, insights and topics including mediational, categorical, and multilevel models. Substantially reorganized, this edition provides a briefer, more streamlined examination of data analysis. Noted for its model-comparison approach and unified framework based on the general linear model, the book provides readers with a greater understanding of a variety of statistical procedures. This consistent framework, including consistent vocabulary and notation, is used throughout to develop fewer but more powerful model building techniques. The authors show how all analysis of variance and multiple regression can be accomplished within this framework. The model-comparison approach provides several benefits: It strengthens the intuitive understanding of the material thereby increasing the ability to successfully analyze data in the future It provides more control in the analysis of data so that readers can apply the techniques to a broader spectrum of questions It reduces the number of statistical techniques that must be memorized It teaches readers how to become data analysts instead of statisticians. The book opens with an overview of data analysis. All the necessary concepts for statistical inference used throughout the book are introduced in Chapters 2 through 4. The remainder of the book builds on these models. Chapters 5 - 7 focus on regression analysis, followed by analysis of variance (ANOVA), mediational analyses, non-independent or correlated errors, including multilevel modeling, and outliers and error violations. The book is appreciated by all for its detailed treatment of ANOVA, multiple regression, nonindependent observations, interactive and nonlinear models of data, and its guidance for treating outliers and other problematic aspects of data analysis. Intended for advanced undergraduate or graduate courses on data analysis, statistics, and/or quantitative methods taught in psychology, education, or other behavioral and social science departments, this book also appeals to researchers who analyze data. A protected website featuring additional examples and problems with data sets, lecture notes, PowerPoint presentations, and class-tested exam questions is available to adopters. This material uses SAS but can easily be adapted to other programs. A working knowledge of basic algebra and any multiple regression program is assumed.
Author : Alan D. Chave
Publisher : Cambridge University Press
ISBN 13 : 1107096006
Total Pages : 467 pages
Book Rating : 4.1/5 (7 download)
Download or read book Computational Statistics in the Earth Sciences written by Alan D. Chave and published by Cambridge University Press. This book was released on 2017-10-19 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines theoretical underpinnings of statistics with practical analysis of Earth sciences data using MATLAB. Supplementary resources are available online.
Author : Jelena Milovanovic
Publisher :
ISBN 13 :
Total Pages : 189 pages
Book Rating : 4.:/5 (811 download)
Download or read book Chi-square Orthogonal Components for Assessing Goodness-of-fit of Multidimensional Multinomial Data written by Jelena Milovanovic and published by . This book was released on 2011 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is common in the analysis of data to provide a goodness-of-fit test to assess the performance of a model. In the analysis of contingency tables, goodness-of-fit statistics are frequently employed when modeling social science, educational or psychological data where the interest is often directed at investigating the association among multi-categorical variables. Pearson's chi-squared statistic is well-known in goodness-of-fit testing, but it is sometimes considered to produce an omnibus test as it gives little guidance to the source of poor fit once the null hypothesis is rejected. However, its components can provide powerful directional tests. In this dissertation, orthogonal components are used to develop goodness-of-fit tests for models fit to the counts obtained from the cross-classification of multi-category dependent variables. Ordinal categories are assumed. Orthogonal components defined on marginals are obtained when analyzing multi-dimensional contingency tables through the use of the QR decomposition. A subset of these orthogonal components can be used to construct limited-information tests that allow one to identify the source of lack-of-fit and provide an increase in power compared to Pearson's test. These tests can address the adverse effects presented when data are sparse. The tests rely on the set of first- and second-order marginals jointly, the set of second-order marginals only, and the random forest method, a popular algorithm for modeling large complex data sets. The performance of these tests is compared to the likelihood ratio test as well as to tests based on orthogonal polynomial components. The derived goodness-of-fit tests are evaluated with studies for detecting two- and three-way associations that are not accounted for by a categorical variable factor model with a single latent variable. In addition the tests are used to investigate the case when the model misspecification involves parameter constraints for large and sparse contingency tables. The methodology proposed here is applied to data from the 38th round of the State Survey conducted by the Institute for Public Policy and Michigan State University Social Research (2005) . The results illustrate the use of the proposed techniques in the context of a sparse data set.
Author : Charles L. Odoroff
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (227 download)
Download or read book A COMPARISON OF MINIMUM LOGIT CHI SQUARE ESTIMATION AND MAXIMUM LIKELIHOOD ESTIMATION IN Rxcx2 CONTINGENCY TABLES: TESTS FOR INTERACTION. written by Charles L. Odoroff and published by . This book was released on 1968 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exact small sample properties of twelve goodness of fit tests for interaction for 2x2x2 and 2x2x3 contingency tables are evaluated by enumeration and Monte Carlo sampling. Several modifications of the minimum logit chi square test, the Pearson chi square test, and the likelihood ratio test using an iterative maximum likelihood estimation procedure and three variants of a non-iterative minimum logit chi square estimation procedure are considered. Three criteria are used to evaluate the properties of the tests: (1) the adequacy of the tabular chi square distribution as an approximation to the exact level, (2) the power of the tests, and (3) ease of computation. The minimum logit chi square test (chi sub 13 superscript 2) based upon the non-iterative minimum logit chi square estimation procedure performs the best with respect to the three criteria. (Author).
Author : Narayanaswamy Balakrishnan
Publisher : Academic Press
ISBN 13 : 0123977835
Total Pages : 243 pages
Book Rating : 4.1/5 (239 download)
Download or read book Chi-Squared Goodness of Fit Tests with Applications written by Narayanaswamy Balakrishnan and published by Academic Press. This book was released on 2013-01-25 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adrian Colin Cameron
Publisher : Cambridge University Press
ISBN 13 : 1107014166
Total Pages : 597 pages
Book Rating : 4.1/5 (7 download)
Download or read book Regression Analysis of Count Data written by Adrian Colin Cameron and published by Cambridge University Press. This book was released on 2013-05-27 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the most comprehensive and up-to-date account of regression methods to explain the frequency of events.
Author : David Kaplan
Publisher : SAGE
ISBN 13 : 9780761923596
Total Pages : 532 pages
Book Rating : 4.9/5 (235 download)
Download or read book The SAGE Handbook of Quantitative Methodology for the Social Sciences written by David Kaplan and published by SAGE. This book was released on 2004-06-21 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative methodology is a highly specialized field, and as with any highly specialized field, working through idiosyncratic language can be very difficult made even more so when concepts are conveyed in the language of mathematics and statistics. The Sage Handbook of Quantitative Methodology for the Social Sciences was conceived as a way of introducing applied statisticians, empirical researchers, and graduate students to the broad array of state-of-the-art quantitative methodologies in the social sciences. The contributing authors of the Handbook were asked to write about their areas of expertise in a way that would convey to the reader the utility of their respective methodologies. Relevance to real-world problems in the social sciences is an essential ingredient of each chapter. The Handbook consists of six sections comprising twenty-five chapters, from topics in scaling and measurement, to advances in statistical modelling methodologies, and finally to broad philosophical themes that transcend many of the quantitative methodologies covered in this handbook.
Author : J. C. W. Rayner
Publisher : John Wiley & Sons
ISBN 13 : 0470824433
Total Pages : 300 pages
Book Rating : 4.4/5 (78 download)
Download or read book Smooth Tests of Goodness of Fit written by J. C. W. Rayner and published by John Wiley & Sons. This book was released on 2009-07-23 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mozhu Liu
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (811 download)
Download or read book Power and Sample Size for Some Chi-square Goodness of Fit Tests written by Mozhu Liu and published by . This book was released on 2012 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Navarro
Publisher : Lulu.com
ISBN 13 : 1326189727
Total Pages : 617 pages
Book Rating : 4.3/5 (261 download)
Download or read book Learning Statistics with R written by Daniel Navarro and published by Lulu.com. This book was released on 2013-01-13 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Learning Statistics with R" covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software and adopting a light, conversational style throughout. The book discusses how to get started in R, and gives an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book. For more information (and the opportunity to check the book out before you buy!) visit http://ua.edu.au/ccs/teaching/lsr or http://learningstatisticswithr.com
