Author: Jerzy NeymanPublisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 332
Book Description
Lectures and Conferences on Mathematical Statistics and Probability
Author: Jerzy NeymanPublisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 332
Book Description
Lectures and Conferences on Mathematical Statistics
Author: Jerzy NeymanPublisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 196
Book Description
Statistics in Medical Research
Author: E.A. GehanPublisher: Springer Science & Business Media
ISBN: 1461525187
Category : Medical
Languages : en
Pages : 266
Book Description
In 1890, General Francis A. Walker, president of both the Massachusetts Institute of Technology and the American Statistical Association, wrote There is reason to wish that all citizens, from the highest to the lowest, might undergo so much of training in statistics as should enable them to detect the errors lurking in quantitative statements regarding social and economic matters which may ... be ad dressed to them as voters or as critics of public policies. [E A. Walker, 1890; reprinted in Noether, 1989] It has been more than a century since Walker stated his wish, but progress has been slow, just as advancement in the establishment of statistical principles and methodology has been laborious and difficult over the centuries. We have tried to describe the milestones in this development and how each generation of scientists built on the heritage and foundations laid by their predecessors. Many historians dismiss the "great man theory," which alleges that giant "leaps of human knowledge are made by great thinkers who transcend the boundaries of their times; great scientists don't leap outside their time, but somewhere else in their own time" (Hevly, 1990). We found this to be the case in the history of statistics. Even the innovative writings of Karl Pearson and Sir Ronald Fisher that became the foundation of modern mathematical statistics were the outcome of two centuries of antecedent ideas and information.
Mathematical Statistics
Author: Thomas S. FergusonPublisher: Academic Press
ISBN: 1483221237
Category : Mathematics
Languages : en
Pages : 409
Book Description
Mathematical Statistics: A Decision Theoretic Approach presents an investigation of the extent to which problems of mathematical statistics may be treated by decision theory approach. This book deals with statistical theory that could be justified from a decision-theoretic viewpoint. Organized into seven chapters, this book begins with an overview of the elements of decision theory that are similar to those of the theory of games. This text then examines the main theorems of decision theory that involve two more notions, namely the admissibility of a decision rule and the completeness of a class of decision rules. Other chapters consider the development of theorems in decision theory that are valid in general situations. This book discusses as well the invariance principle that involves groups of transformations over the three spaces around which decision theory is built. The final chapter deals with sequential decision problems. This book is a valuable resource for first-year graduate students in mathematics.
Statistical Inference as Severe Testing
Author: Deborah G. MayoPublisher: Cambridge University Press
ISBN: 1108563309
Category : Mathematics
Languages : en
Pages : 503
Book Description
Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.
Comparative Statistical Inference
Author: Vic BarnettPublisher: John Wiley & Sons
ISBN: 0470317795
Category : Mathematics
Languages : en
Pages : 410
Book Description
This fully updated and revised third edition, presents a wide ranging, balanced account of the fundamental issues across the full spectrum of inference and decision-making. Much has happened in this field since the second edition was published: for example, Bayesian inferential procedures have not only gained acceptance but are often the preferred methodology. This book will be welcomed by both the student and practising statistician wishing to study at a fairly elementary level, the basic conceptual and interpretative distinctions between the different approaches, how they interrelate, what assumptions they are based on, and the practical implications of such distinctions. As in earlier editions, the material is set in a historical context to more powerfully illustrate the ideas and concepts. Includes fully updated and revised material from the successful second edition Recent changes in emphasis, principle and methodology are carefully explained and evaluated Discusses all recent major developments Particular attention is given to the nature and importance of basic concepts (probability, utility, likelihood etc) Includes extensive references and bibliography Written by a well-known and respected author, the essence of this successful book remains unchanged providing the reader with a thorough explanation of the many approaches to inference and decision making.
Common Errors in Statistics (and How to Avoid Them)
Author: Phillip I. GoodPublisher: John Wiley & Sons
ISBN: 1118211278
Category : Mathematics
Languages : en
Pages : 231
Book Description
Praise for the Second Edition "All statistics students and teachers will find in this book a friendly and intelligentguide to . . . applied statistics in practice." —Journal of Applied Statistics ". . . a very engaging and valuable book for all who use statistics in any setting." —CHOICE ". . . a concise guide to the basics of statistics, replete with examples . . . a valuablereference for more advanced statisticians as well." —MAA Reviews Now in its Third Edition, the highly readable Common Errors in Statistics (and How to Avoid Them) continues to serve as a thorough and straightforward discussion of basic statistical methods, presentations, approaches, and modeling techniques. Further enriched with new examples and counterexamples from the latest research as well as added coverage of relevant topics, this new edition of the benchmark book addresses popular mistakes often made in data collection and provides an indispensable guide to accurate statistical analysis and reporting. The authors' emphasis on careful practice, combined with a focus on the development of solutions, reveals the true value of statistics when applied correctly in any area of research. The Third Edition has been considerably expanded and revised to include: A new chapter on data quality assessment A new chapter on correlated data An expanded chapter on data analysis covering categorical and ordinal data, continuous measurements, and time-to-event data, including sections on factorial and crossover designs Revamped exercises with a stronger emphasis on solutions An extended chapter on report preparation New sections on factor analysis as well as Poisson and negative binomial regression Providing valuable, up-to-date information in the same user-friendly format as its predecessor, Common Errors in Statistics (and How to Avoid Them), Third Edition is an excellent book for students and professionals in industry, government, medicine, and the social sciences.
Error and the Growth of Experimental Knowledge
Author: Deborah G. MayoPublisher: University of Chicago Press
ISBN: 0226511987
Category : Mathematics
Languages : en
Pages : 512
Book Description
Preface1: Learning from Error 2: Ducks, Rabbits, and Normal Science: Recasting the Kuhn's-Eye View of Popper 3: The New Experimentalism and the Bayesian Way 4: Duhem, Kuhn, and Bayes 5: Models of Experimental Inquiry 6: Severe Tests and Methodological Underdetermination7: The Experimental Basis from Which to Test Hypotheses: Brownian Motion8: Severe Tests and Novel Evidence 9: Hunting and Snooping: Understanding the Neyman-Pearson Predesignationist Stance10: Why You Cannot Be Just a Little Bit Bayesian 11: Why Pearson Rejected the Neyman-Pearson (Behavioristic) Philosophy and a Note on Objectivity in Statistics12: Error Statistics and Peircean Error Correction 13: Toward an Error-Statistical Philosophy of Science ReferencesIndex Copyright © Libri GmbH. All rights reserved.
The American Census
Author: Margo J. AndersonPublisher: Yale University Press
ISBN: 9780300047097
Category : Social Science
Languages : en
Pages : 276
Book Description
This book, published on the eve of the bicentennial of the American census, is the first social history of this remarkably important institution, from its origins in 1790 to the present. Margo Anderson argues that the census has always been an influential policymaking tool, used not only to determine the number of representatives apportioned to each state but also to allocate tax dollars to states, and, in the past, to define groups-such as slaves and immigrants-who were to be excluded from the American polity. "As a history of the census, this study is a delight. It is thoroughly researched and richly detailed. Anderson is to be commended for covering such an expansive chronology with such skill. . . . Anderson has woven together not only social history but also intellectual, institutional, political, and military history into a thoroughly readable book that examines not only changes in the census but also the remarkable changes that have taken place in the US."-Choice "This book is valuable, clearly written and contains many interesting facts. It should be read not only by national policymakers and the statistical community, but by all who are interested in American society."-Bryant Robey, Population Today "A solid and readable piece of social, political, and institutional history. It will be essential reading not only for historians of American politics but also for census and population experts, for any public policy formulators who rely on census figures, and for those interested in the history of numeracy and statistics."-Patricia Cline Cohen, University of California, Santa Barbara
Introduction to Statistical Inference
Author: E. S. KeepingPublisher: Courier Corporation
ISBN: 9780486685021
Category : Mathematics
Languages : en
Pages : 484
Book Description
This excellent text emphasizes the inferential and decision-making aspects of statistics. The first chapter is mainly concerned with the elements of the calculus of probability. Additional chapters cover the general properties of distributions, testing hypotheses, and more.