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Bonferronis Inequalities With Applications To Tests Of Statistical Hyptheses
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Book Synopsis Bonferroni's Inequalities with Applications to Tests of Statistical Hyptheses by : Raymond Niel Carr
Download or read book Bonferroni's Inequalities with Applications to Tests of Statistical Hyptheses written by Raymond Niel Carr and published by . This book was released on 1965 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Statistics With Applications by : Asha Seth Kapadia
Download or read book Mathematical Statistics With Applications written by Asha Seth Kapadia and published by CRC Press. This book was released on 2017-07-12 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical statistics typically represents one of the most difficult challenges in statistics, particularly for those with more applied, rather than mathematical, interests and backgrounds. Most textbooks on the subject provide little or no review of the advanced calculus topics upon which much of mathematical statistics relies and furthermore contain material that is wholly theoretical, thus presenting even greater challenges to those interested in applying advanced statistics to a specific area. Mathematical Statistics with Applications presents the background concepts and builds the technical sophistication needed to move on to more advanced studies in multivariate analysis, decision theory, stochastic processes, or computational statistics. Applications embedded within theoretical discussions clearly demonstrate the utility of the theory in a useful and relevant field of application and allow readers to avoid sudden exposure to purely theoretical materials. With its clear explanations and more than usual emphasis on applications and computation, this text reaches out to the many students and professionals more interested in the practical use of statistics to enrich their work in areas such as communications, computer science, economics, astronomy, and public health.
Download or read book Multiple Comparisons written by Jason Hsu and published by CRC Press. This book was released on 1996-02-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Comparisons introduces simultaneous statistical inference and covers the theory and techniques for all-pairwise comparisons, multiple comparisons with the best, and multiple comparisons with a control. The author describes confidence intervals methods and stepwise exposes abuses and misconceptions, and guides readers to the correct method for each problem. Discussions also include the connections with bioequivalence, drug stability, and toxicity studies Real data sets analyzed by computer software packages illustrate the applications presented.
Book Synopsis Biostatistical Genetics and Genetic Epidemiology by : Robert C. Elston
Download or read book Biostatistical Genetics and Genetic Epidemiology written by Robert C. Elston and published by John Wiley & Sons. This book was released on 2002-04-22 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Human Genetics and Genetic Epidemiology" ist der 3. Band aus der sehr erfolgreichen Reihe 'Wiley Biostatistics Reference Series', die auf Artikeln der "Encyclopedia of Biostatistics" basiert. Dieser Band gibt einen topaktuellen und umfassenden Überblick über ein Forschungsgebiet, das insbesondere im Zuge des Human-Genomprojekts eine regelrechte Explosion an Forschungsaktivitäten erlebt hat. Enthalten sind komplett aktualisierte Artikel aus der "Encyclopedia of Biostatistics" sowie über 25% neue Artikel. Mit einem komplexen System an Querverweisen, die das Auffinden der gewünschten Information erheblich erleichtern. Eine interessante Lektüre für Genetiker, Epidemiologen, Biostatistiker und Forscher in diesen Bereichen.
Book Synopsis Testing Statistical Hypotheses of Equivalence and Noninferiority by : Stefan Wellek
Download or read book Testing Statistical Hypotheses of Equivalence and Noninferiority written by Stefan Wellek and published by CRC Press. This book was released on 2010-06-24 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: While continuing to focus on methods of testing for two-sided equivalence, Testing Statistical Hypotheses of Equivalence and Noninferiority, Second Edition gives much more attention to noninferiority testing. It covers a spectrum of equivalence testing problems of both types, ranging from a one-sample problem with normally distributed observations
Book Synopsis Statistical Hypothesis Testing in Context: Volume 52 by : Michael P. Fay
Download or read book Statistical Hypothesis Testing in Context: Volume 52 written by Michael P. Fay and published by Cambridge University Press. This book was released on 2022-05-05 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fay and Brittain present statistical hypothesis testing and compatible confidence intervals, focusing on application and proper interpretation. The emphasis is on equipping applied statisticians with enough tools - and advice on choosing among them - to find reasonable methods for almost any problem and enough theory to tackle new problems by modifying existing methods. After covering the basic mathematical theory and scientific principles, tests and confidence intervals are developed for specific types of data. Essential methods for applications are covered, such as general procedures for creating tests (e.g., likelihood ratio, bootstrap, permutation, testing from models), adjustments for multiple testing, clustering, stratification, causality, censoring, missing data, group sequential tests, and non-inferiority tests. New methods developed by the authors are included throughout, such as melded confidence intervals for comparing two samples and confidence intervals associated with Wilcoxon-Mann-Whitney tests and Kaplan-Meier estimates. Examples, exercises, and the R package asht support practical use.
Book Synopsis Multiple Hypotheses Testing in the Linear Regression Model with Applications to Economics and Finance by : Raimund Alt
Download or read book Multiple Hypotheses Testing in the Linear Regression Model with Applications to Economics and Finance written by Raimund Alt and published by Cuvillier Verlag. This book was released on 2005 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Testing Statistical Hypotheses of Equivalence by : Stefan Wellek
Download or read book Testing Statistical Hypotheses of Equivalence written by Stefan Wellek and published by CRC Press. This book was released on 2002-11-12 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equivalence testing has grown significantly in importance over the last two decades, especially as its relevance to a variety of applications has become understood. Yet published work on the general methodology remains scattered in specialists' journals, and for the most part, it focuses on the relatively narrow topic of bioequivalence assessment.
Book Synopsis Mathematical Statistics and Applications by : Marc Moore
Download or read book Mathematical Statistics and Applications written by Marc Moore and published by IMS. This book was released on 2003 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multivariate Bonferroni-Type Inequalities by : John Chen
Download or read book Multivariate Bonferroni-Type Inequalities written by John Chen and published by CRC Press. This book was released on 2016-04-19 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Bonferroni-Type Inequalities: Theory and Applications presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade. The emergence of new bounding approaches pushes the conventional definitions of optimal inequalities and demands new insights into linear and Frechet optimality. The book explores these advances in bounding techniques with corresponding innovative applications. It presents the method of linear programming for multivariate bounds, multivariate hybrid bounds, sub-Markovian bounds, and bounds using Hamilton circuits. The first half of the book describes basic concepts and methods in probability inequalities. The author introduces the classification of univariate and multivariate bounds with optimality, discusses multivariate bounds using indicator functions, and explores linear programming for bivariate upper and lower bounds. The second half addresses bounding results and applications of multivariate Bonferroni-type inequalities. The book shows how to construct new multiple testing procedures with probability upper bounds and goes beyond bivariate upper bounds by considering vectorized upper and hybrid bounds. It presents an optimization algorithm for bivariate and multivariate lower bounds and covers vectorized high-dimensional lower bounds with refinements, such as Hamilton-type circuits and sub-Markovian events. The book concludes with applications of probability inequalities in molecular cancer therapy, big data analysis, and more.
Book Synopsis Multiple Hypotheses Testing in the Linear Regression Model with Applications to Economics and Finance by :
Download or read book Multiple Hypotheses Testing in the Linear Regression Model with Applications to Economics and Finance written by and published by Cuvillier Verlag. This book was released on 2005-01-23 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Hypothesenprüfung ist ein Teilgebiet der Statistik, das sich mit den speziellen Problemen beim Testen von zwei oder mehr Nullhypothesen beschäftigt. Die vorliegende Darstellung stellt eine Einführung in die moderne Theorie multipler Testprozeduren dar. Nach einer Diskussion der theoretischen Grundlagen werden verschiedene Testprozeduren im Rahmen des linearen Regressionsmodells beschrieben. Dazu gehören die Bonferroni-Prozedur, die Scheffe-Prozedur, die Bonferroni-Holm-Prozedur und die abgeschlossene F-Prozedur. Unter anderem wird auch auf das Testen geordneter, abhängiger und hierarchischer Hypothesen eingegangen. Danach werden die Ergebnisse einer Monte Carlo Studie präsentiert, in der die Güte mehrerer Testprozeduren verglichen wird. Die Vergleiche demonstrieren anschaulich die Überlegenheit abgeschlossener Testprozeduren. Anschließend werden die Resultate zweier empirischer Anwendungen abgeschlossener Testprozeduren vorgestellt. Die erste diskutiert die Ergebnisse von Madlener und Alt, die mehrere Energie-Nachfragemodelle für Österreich testeten. Bei der zweiten Anwendung handelt es sich um eine empirische Untersuchung des Wochentagseffekts beim amerikanischen Dow Jones Index.
Book Synopsis Multiple Analyses in Clinical Trials by : Lemuel A. Moyé
Download or read book Multiple Analyses in Clinical Trials written by Lemuel A. Moyé and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentrating on the rationale for the analyses, the difficulties posed by their interpretation, easily understood solutions, and useful problem sets, this book will help clinical investigators understand multiple analysis procedures and key issues. It is written for advanced medical students, clinical investigators at all levels, research groups within the pharmaceutical industry, regulators at the local, state, and federal level, and biostatisticians.
Book Synopsis Multiple Comparisons for Bernoulli Data by : Taka-aki Shiraishi
Download or read book Multiple Comparisons for Bernoulli Data written by Taka-aki Shiraishi and published by Springer Nature. This book was released on 2022-05-31 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on multiple comparisons of proportions in multi-sample models with Bernoulli responses. First, the author explains the one-sample and two-sample methods that form the basis of multiple comparisons. Then, regularity conditions are stated in detail. Simultaneous inference for all proportions based on exact confidence limits and based on asymptotic theory is discussed. Closed testing procedures based on some one-sample statistics are introduced. For all-pairwise multiple comparisons of proportions, the author uses arcsine square root transformation of sample means. Closed testing procedures based on maximum absolute values of some two-sample test statistics and based on chi-square test statistics are introduced. It is shown that the multi-step procedures are more powerful than single-step procedures and the Ryan–Einot–Gabriel–Welsch (REGW)-type tests. Furthermore, the author discusses multiple comparisons with a control. Under simple ordered restrictions of proportions, the author also discusses closed testing procedures based on maximum values of two-sample test statistics and based on Bartholomew's statistics. Last, serial gatekeeping procedures based on the above-mentioned closed testing procedures are proposed although Bonferroni inequalities are used in serial gatekeeping procedures of many.
Book Synopsis Multiple Testing Problems in Pharmaceutical Statistics by : Alex Dmitrienko
Download or read book Multiple Testing Problems in Pharmaceutical Statistics written by Alex Dmitrienko and published by CRC Press. This book was released on 2009-12-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful Statistical Approaches for Addressing Multiplicity IssuesIncludes practical examples from recent trials Bringing together leading statisticians, scientists, and clinicians from the pharmaceutical industry, academia, and regulatory agencies, Multiple Testing Problems in Pharmaceutical Statistics explores the rapidly growing area of multiple c
Book Synopsis Probability and Statistical Models with Applications by : CH. A. Charalambides
Download or read book Probability and Statistical Models with Applications written by CH. A. Charalambides and published by CRC Press. This book was released on 2000-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph of carefully collected articles reviews recent developments in theoretical and applied statistical science, highlights current noteworthy results and illustrates their applications; and points out possible new directions to pursue. With its enlightening account of statistical discoveries and its numerous figures and tables, Probabili
Book Synopsis Design and Analysis of Animal Studies in Pharmaceutical Development by : Shein-Chung Chow
Download or read book Design and Analysis of Animal Studies in Pharmaceutical Development written by Shein-Chung Chow and published by CRC Press. This book was released on 1998-01-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides well-integrated, comprehensive coverage of all the major statistical designs and methods used for animal studies in pharmaceutical research and development. Demonstrates the correct way to interpret the results of animal studies in the risk assessment of biopharmaceutical products and clarifies detailed presentations with real-world examp
Book Synopsis Handbook of Multiple Comparisons by : Xinping Cui
Download or read book Handbook of Multiple Comparisons written by Xinping Cui and published by CRC Press. This book was released on 2021-11-18 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts that include originators of some key ideas, chapters in the Handbook of Multiple Testing cover multiple comparison problems big and small, with guidance toward error rate control and insights on how principles developed earlier can be applied to current and emerging problems. Some highlights of the coverages are as follows. Error rate control is useful for controlling the incorrect decision rate. Chapter 1 introduces Tukey's original multiple comparison error rates and point to how they have been applied and adapted to modern multiple comparison problems as discussed in the later chapters. Principles endure. While the closed testing principle is more familiar, Chapter 4 shows the partitioning principle can derive confidence sets for multiple tests, which may become important as the profession goes beyond making decisions based on p-values. Multiple comparisons of treatment efficacy often involve multiple doses and endpoints. Chapter 12 on multiple endpoints explains how different choices of endpoint types lead to different multiplicity adjustment strategies, while Chapter 11 on the MCP-Mod approach is particularly useful for dose-finding. To assess efficacy in clinical trials with multiple doses and multiple endpoints, the reader can see the traditional approach in Chapter 2, the Graphical approach in Chapter 5, and the multivariate approach in Chapter 3. Personalized/precision medicine based on targeted therapies, already a reality, naturally leads to analysis of efficacy in subgroups. Chapter 13 draws attention to subtle logical issues in inferences on subgroups and their mixtures, with a principled solution that resolves these issues. This chapter has implication toward meeting the ICHE9R1 Estimands requirement. Besides the mere multiple testing methodology itself, the handbook also covers related topics like the statistical task of model selection in Chapter 7 or the estimation of the proportion of true null hypotheses (or, in other words, the signal prevalence) in Chapter 8. It also contains decision-theoretic considerations regarding the admissibility of multiple tests in Chapter 6. The issue of selected inference is addressed in Chapter 9. Comparison of responses can involve millions of voxels in medical imaging or SNPs in genome-wide association studies (GWAS). Chapter 14 and Chapter 15 provide state of the art methods for large scale simultaneous inference in these settings.