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Exact Power Of Generalized Kolmogorov Goodness Of Fit Tests
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Book Synopsis Exact Power of generalized Kolmogorov goodness-of-fit tests by : Leon Jay Gleser
Download or read book Exact Power of generalized Kolmogorov goodness-of-fit tests written by Leon Jay Gleser and published by . This book was released on 1981 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Power of Categorical Goodness-of-fit Test Statistics by :
Download or read book The Power of Categorical Goodness-of-fit Test Statistics written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The relative power of goodness-of-fit test statistics has long been debated in the literature. Chi-Square type test statistics to determine 'fit' for categorical data are still dominant in the goodness-of-fit arena. Empirical Distribution Function type goodness-of-fit test statistics are known to be relatively more powerful than Chi-Square type test statistics for restricted types of null and alternative distributions. In many practical applications researchers who use a standard Chi-Square type goodness-of-fit test statistic ignore the rank of ordinal classes. This thesis reviews literature in the goodness-of-fit field, with major emphasis on categorical goodness-of-fit tests. The continued use of an asymptotic distribution to approximate the exact distribution of categorical goodness-of-fit test statistics is discouraged. It is unlikely that an asymptotic distribution will produce a more accurate estimation of the exact distribution of a goodness-of-fit test statistic than a Monte Carlo approximation with a large number of simulations. Due to their relatively higher powers for restricted types of null and alternative distributions, several authors recommend the use of Empirical Distribution Function test statistics over nominal goodness-of-fit test statistics such as Pearson's Chi-Square. In-depth power studies confirm the views of other authors that categorical Empirical Distribution Function type test statistics do not have higher power for some common null and alternative distributions. Because of this, it is not sensible to make a conclusive recommendation to always use an Empirical Distribution Function type test statistic instead of a nominal goodness-of-fit test statistic. Traditionally the recommendation to determine 'fit' for multivariate categorical data is to treat categories as nominal, an approach which precludes any gain in power which may accrue from a ranking, should one or more variables be ordinal. The presence of multiple criteria through multivariate data may result in partially ordered categories, some of which have equal ranking. This thesis proposes a modification to the currently available Kolmogorov-Smirnov test statistics for ordinal and nominal categorical data to account for situations of partially ordered categories. The new test statistic, called the Combined Kolmogorov-Smirnov, is relatively more powerful than Pearson's Chi-Square and the nominal Kolmogorov-Smirnov test statistic for some null and alternative distributions. A recommendation is made to use the new test statistic with higher power in situations where some benefit can be achieved by incorporating an Empirical Distribution Function approach, but the data lack a complete natural ordering of categories. The new and established categorical goodness-of-fit test statistics are demonstrated in the analysis of categorical data with brief applications as diverse as familiarity of defence programs, the number of recruits produced by the Merlin bird, a demographic problem, and DNA profiling of genotypes. The results from these applications confirm the recommendations associated with specific goodness-of-fit test statistics throughout this thesis.
Book Synopsis 100 Statistical Tests by : Gopal K Kanji
Download or read book 100 Statistical Tests written by Gopal K Kanji and published by SAGE. This book was released on 2006-08-07 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanded and updated, the Third Edition of Gopal Kanji's best-selling resource on statistical tests covers all the most commonly used tests with information on how to calculate and interpret results with simple datasets. The Third Edition now includes: - a new introduction to statistical testing with information to guide even the non-statistician through the book quickly and easily - real-world explanations of how and when to use each test with examples drawn from wide range of disciplines - a useful Classification of Tests table - all the relevant statistical tables for checking critical valu.
Book Synopsis Comparison of Power of Some General Goodness-of-Fit Tests by : E.M. Baskin
Download or read book Comparison of Power of Some General Goodness-of-Fit Tests written by E.M. Baskin and published by . This book was released on 2018 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: The comparison of a power of general goodness-of-fit tests of the Pearson's, the Kolmogorov-Smirnov's and of the author of the present paper has been presented.It is shown that for distributions like simular to exponential, the goodness-of-fit test of the author is locally the most powerful. The power of the given criteria for other alternative distributions has been investigated. It is shown that the Kolmogorov- Smirnov criterion in all considered cases is much poorer than the other two general criteria. It has been suggested that only criterion that gives the least value of a significance level of goodness-of-fit tests should be used in practice.
Book Synopsis Generalization of the Kolmogorov-Smirnov Goodness-of-fit Test, Using Group Invariance by : DIMACS (GROUP)
Download or read book Generalization of the Kolmogorov-Smirnov Goodness-of-fit Test, Using Group Invariance written by DIMACS (GROUP) and published by . This book was released on 1991 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: We report some critical values and power comparisons obtained through Monte-Carlo techniques; under certain conditions, the tests we study are considerably more powerful than conventional tests."
Book Synopsis Distribution Theory for Tests Based on the Sample Distribution Function by : J. Durbin
Download or read book Distribution Theory for Tests Based on the Sample Distribution Function written by J. Durbin and published by SIAM. This book was released on 1973-01-01 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes.
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:
Book Synopsis Introduction to Robust Estimation and Hypothesis Testing by : Rand R. Wilcox
Download or read book Introduction to Robust Estimation and Hypothesis Testing written by Rand R. Wilcox and published by Academic Press. This book was released on 2012-01-12 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book focuses on the practical aspects of modern and robust statistical methods. The increased accuracy and power of modern methods, versus conventional approaches to the analysis of variance (ANOVA) and regression, is remarkable. Through a combination of theoretical developments, improved and more flexible statistical methods, and the power of the computer, it is now possible to address problems with standard methods that seemed insurmountable only a few years ago"--
Book Synopsis Two- and Three-parameter Weibull Goodness-of-fit Tests by : James W. Evans
Download or read book Two- and Three-parameter Weibull Goodness-of-fit Tests written by James W. Evans and published by . This book was released on 1989 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Goodness-of-Fit-Techniques by : RalphB. D'Agostino
Download or read book Goodness-of-Fit-Techniques written by RalphB. D'Agostino and published by Routledge. This book was released on 2017-10-19 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction , and also collecting methods of testing for specific famous distributions, this usefulreference is the fust 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.
Book Synopsis Distribution Theory for Tests Based on Sample Distribution Function by : J. Durbin
Download or read book Distribution Theory for Tests Based on Sample Distribution Function written by J. Durbin and published by SIAM. This book was released on 1973-01-31 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes.
Book Synopsis Permutation Methods by : Paul W. Jr. Mielke
Download or read book Permutation Methods written by Paul W. Jr. Mielke and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive treatment of statistical inference using permutation techniques. It features a variety of useful and powerful data analytic tools that rely on very few distributional assumptions. Although many of these procedures have appeared in journal articles, they are not readily available to practitioners.
Download or read book AMSTAT News written by and published by . This book was released on 1997 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Translations in Mathematical Statistics and Probability by :
Download or read book Selected Translations in Mathematical Statistics and Probability written by and published by American Mathematical Soc.. This book was released on 1981 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Methods For Monitoring Tiger And Prey Populations by : K. Ullas Karanth
Download or read book Methods For Monitoring Tiger And Prey Populations written by K. Ullas Karanth and published by Springer. This book was released on 2017-10-26 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses issues of monitoring populations of tigers, ungulate prey species and habitat occupancy, with relevance to similar assessments of large mammal species and general biodiversity. It covers issues of rigorous sampling, modeling, estimation and adaptive management of animal populations using cutting-edge tools, such as camera-traps, genetic identification and Geographic Information Systems (GIS), applied under the modern statistical approach of Bayesian and likelihood-based inference. Of special focus here are animal survey data derived for use under spatial capture-recapture, occupancy, distance sampling, mixture-modeling and connectivity analysees. Because tigers are an icons of global conservation, in last five decades,enormous amounts of commitment and resources have been invested by tiger range countries and the conservation community for saving wild tigers. However, status of the big cat remains precarious. Rigorous monitoring of surviving wild tiger populations continues to be essential for both understanding and recovering wild tigers. However, many tiger monitoring programs lack the necessary rigor to generate the reliable results. While the deployment of technologies, analyses, computing power and human-resource investments in tiger monitoring have greatly progressed in the last couple of decades, a full comprehension of their correct deployment has not kept pace in practice. In this volume, Dr. Ullas Karanth and Dr. James Nichols, world leaders in tiger biology and quantitative ecology, respectively, address this key challenge. The have collaborated with an extraordinary array of 30 scientists with expertise in a range of necessary disciplines - biology and ecology of tigers, prey and habitats; advanced statistical theory and practice; computation and programming; practical field-sampling methods that employ technologies as varied as camera traps, genetic analyses and geographic information systems. The book is a 'tour de force' of cutting-edge methodologies for assessing not just tigers but also other predators and their prey. The 14 chapters here are lucidly presented in a coherent sequence to provide tiger-specific answers to fundamental questions in animal population assessment: why monitor, what to monitor and how to monitor. While highlighting robust methods, the authors also clearly point out those that are in use, but unreliable. The managerial dimension of tiger conservation described here, the task of matching monitoring objectives with skills and resources to integrate tiger conservation under an adaptive framework, also renders this volume useful to wildlife scientists as well as conservationists.
Book Synopsis Nonparametric Statistical Inference by : Jean Dickinson Gibbons
Download or read book Nonparametric Statistical Inference written by Jean Dickinson Gibbons and published by CRC Press. This book was released on 2014-03-10 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly revised and reorganized, the fourth edition presents in-depth coverage of the theory and methods of the most widely used nonparametric procedures in statistical analysis and offers example applications appropriate for all areas of the social, behavioral, and life sciences. The book presents new material on the quantiles, the calculation of exact and simulated power, multiple comparisons, additional goodness-of-fit tests, methods of analysis of count data, and modern computer applications using MINITAB, SAS, and STATXACT. It includes tabular guides for simplified applications of tests and finding P values and confidence interval estimates.
Book Synopsis Goodness-of-Fit Statistics for Discrete Multivariate Data by : Timothy R.C. Read
Download or read book Goodness-of-Fit Statistics for Discrete Multivariate Data written by Timothy R.C. Read and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.