Confidence Intervals Incorporating Prior Information

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Confidence Intervals Incorporating Prior Information

Author : Jarrod Tuck
Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.:/5 (431 download)

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Book Synopsis Confidence Intervals Incorporating Prior Information by : Jarrod Tuck

Download or read book Confidence Intervals Incorporating Prior Information written by Jarrod Tuck and published by . This book was released on 2006 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This theis proposes a new approach to constructing a 1 - DC confidence interval in a large sample regression setting. This new approach utilises compromise decision theory to incorporate prior information about the nuisance regression parameter so that when it is true, the interval length is shorter than the standard 1 - DC confidence interval. This appraoch produces an interval called the Confidence Interval Incorporating Prior Information. In addition, this theory provides a performance bound on any 1- DC confidence interval. Compromise decision theory is then applied to find a 1 - DC confidence interval for the difference of two population means, when there is uncertain prior information that the population variances are equal. Here we show that, in terms of confidence interval expected length, there does not exist a 1 - DC confidence interval that provides a significant improvement over the Welch confidence interval whose length has been adjusted so that its minimum coverage is 1 - DC.

Confidence Intervals in Regression Utilizing Prior Information

Author : Khageswor Giri
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (388 download)

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Book Synopsis Confidence Intervals in Regression Utilizing Prior Information by : Khageswor Giri

Download or read book Confidence Intervals in Regression Utilizing Prior Information written by Khageswor Giri and published by . This book was released on 2008 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: We use the form of the naive 1 - DC[alpha] confidence interval to motivate a new frequentist 1 - DC[alpha] confidence interval that utilizes uncertain prior information about the regression parameters. This interval has expected length that (a) is relatively small when this prior information is correct and (b) has maximum value that is not too large. It has coverage probability 1 - DC[alpha] throughout the parameter space and, unlike the naive confidence interval, has endpoints that are continuous functions of the data. Additionally, this interval coincides with the standard 1 - DC[alpha] confidence interval when the data happens to strongly contradict the prior information. We then use compromise decision theory to find bounds on the performance of this new confidence interval for large samples. Finally, we consider a 2 x 2 factorial experiment with more than one replicate. We describe new simultaneous frequentist confidence intervals for the population cell means, with simultaneous confidence coefficient 1 - DC[alpha], that utilize uncertain prior information that the two-factor interaction is zero.

Statistics with Confidence

Author : Douglas Altman
Publisher : John Wiley & Sons
ISBN 13 : 1118702506
Total Pages : 322 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Statistics with Confidence by : Douglas Altman

Download or read book Statistics with Confidence written by Douglas Altman and published by John Wiley & Sons. This book was released on 2013-06-03 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly popular introduction to confidence intervals has been thoroughly updated and expanded. It includes methods for using confidence intervals, with illustrative worked examples and extensive guidelines and checklists to help the novice.

Principles of Statistical Inference

Author : D. R. Cox
Publisher : Cambridge University Press
ISBN 13 : 1139459139
Total Pages : 227 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Principles of Statistical Inference by : D. R. Cox

Download or read book Principles of Statistical Inference written by D. R. Cox and published by Cambridge University Press. This book was released on 2006-08-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this definitive book, D. R. Cox gives a comprehensive and balanced appraisal of statistical inference. He develops the key concepts, describing and comparing the main ideas and controversies over foundational issues that have been keenly argued for more than two-hundred years. Continuing a sixty-year career of major contributions to statistical thought, no one is better placed to give this much-needed account of the field. An appendix gives a more personal assessment of the merits of different ideas. The content ranges from the traditional to the contemporary. While specific applications are not treated, the book is strongly motivated by applications across the sciences and associated technologies. The mathematics is kept as elementary as feasible, though previous knowledge of statistics is assumed. The book will be valued by every user or student of statistics who is serious about understanding the uncertainty inherent in conclusions from statistical analyses.

Confidence Intervals for Proportions and Related Measures of Effect Size

Author : Robert Gordon Newcombe
Publisher : CRC Press
ISBN 13 : 1439812799
Total Pages : 463 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Confidence Intervals for Proportions and Related Measures of Effect Size by : Robert Gordon Newcombe

Download or read book Confidence Intervals for Proportions and Related Measures of Effect Size written by Robert Gordon Newcombe and published by CRC Press. This book was released on 2012-08-25 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Confidence Intervals for Proportions and Related Measures of Effect Size illustrates the use of effect size measures and corresponding confidence intervals as more informative alternatives to the most basic and widely used significance tests. The book provides you with a deep understanding of what happens when these statistical methods are applied

Statistical Intervals

Author : William Q. Meeker
Publisher : John Wiley & Sons
ISBN 13 : 0471687170
Total Pages : 648 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Statistical Intervals by : William Q. Meeker

Download or read book Statistical Intervals written by William Q. Meeker and published by John Wiley & Sons. This book was released on 2017-04-10 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes statistical intervals to quantify sampling uncertainty,focusing on key application needs and recently developed methodology in an easy-to-apply format Statistical intervals provide invaluable tools for quantifying sampling uncertainty. The widely hailed first edition, published in 1991, described the use and construction of the most important statistical intervals. Particular emphasis was given to intervals—such as prediction intervals, tolerance intervals and confidence intervals on distribution quantiles—frequently needed in practice, but often neglected in introductory courses. Vastly improved computer capabilities over the past 25 years have resulted in an explosion of the tools readily available to analysts. This second edition—more than double the size of the first—adds these new methods in an easy-to-apply format. In addition to extensive updating of the original chapters, the second edition includes new chapters on: Likelihood-based statistical intervals Nonparametric bootstrap intervals Parametric bootstrap and other simulation-based intervals An introduction to Bayesian intervals Bayesian intervals for the popular binomial, Poisson and normal distributions Statistical intervals for Bayesian hierarchical models Advanced case studies, further illustrating the use of the newly described methods New technical appendices provide justification of the methods and pathways to extensions and further applications. A webpage directs readers to current readily accessible computer software and other useful information. Statistical Intervals: A Guide for Practitioners and Researchers, Second Edition is an up-to-date working guide and reference for all who analyze data, allowing them to quantify the uncertainty in their results using statistical intervals.

The SAGE Encyclopedia of Research Design

Author : Bruce B. Frey
Publisher : SAGE Publications
ISBN 13 : 1071812106
Total Pages : 3889 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis The SAGE Encyclopedia of Research Design by : Bruce B. Frey

Download or read book The SAGE Encyclopedia of Research Design written by Bruce B. Frey and published by SAGE Publications. This book was released on 2022-01-27 with total page 3889 pages. Available in PDF, EPUB and Kindle. Book excerpt: The SAGE Encyclopedia of Research Design maps out how one makes decisions about research design, interprets data, and draws valid inferences, undertakes research projects in an ethical manner, and evaluates experimental design strategies and results. From A-to-Z, this four-volume work covers the spectrum of research design strategies and topics including, among other things: fundamental research design principles, ethics in the research process, quantitative versus qualitative and mixed-method designs, completely randomized designs, multiple comparison tests, diagnosing agreement between data and models, fundamental assumptions in analysis of variance, factorial treatment designs, complete and incomplete block designs, Latin square and related designs, hierarchical designs, response surface designs, split-plot designs, repeated measures designs, crossover designs, analysis of covariance, statistical software packages, and much more. Research design, with its statistical underpinnings, can be especially daunting for students and novice researchers. At its heart, research design might be described simply as a formalized approach toward problem solving, thinking, and acquiring knowledge, the success of which depends upon clearly defined objectives and appropriate choice of statistical design and analysis to meet those objectives. The SAGE Encyclopedia of Research Design will assist students and researchers with their work while providing vital information on research strategies.

Cochrane Handbook for Systematic Reviews of Interventions

Author : Julian P. T. Higgins
Publisher : Wiley
ISBN 13 : 9780470699515
Total Pages : 672 pages
Book Rating : 4.6/5 (995 download)

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Book Synopsis Cochrane Handbook for Systematic Reviews of Interventions by : Julian P. T. Higgins

Download or read book Cochrane Handbook for Systematic Reviews of Interventions written by Julian P. T. Higgins and published by Wiley. This book was released on 2008-11-24 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Healthcare providers, consumers, researchers and policy makers are inundated with unmanageable amounts of information, including evidence from healthcare research. It has become impossible for all to have the time and resources to find, appraise and interpret this evidence and incorporate it into healthcare decisions. Cochrane Reviews respond to this challenge by identifying, appraising and synthesizing research-based evidence and presenting it in a standardized format, published in The Cochrane Library (www.thecochranelibrary.com). The Cochrane Handbook for Systematic Reviews of Interventions contains methodological guidance for the preparation and maintenance of Cochrane intervention reviews. Written in a clear and accessible format, it is the essential manual for all those preparing, maintaining and reading Cochrane reviews. Many of the principles and methods described here are appropriate for systematic reviews applied to other types of research and to systematic reviews of interventions undertaken by others. It is hoped therefore that this book will be invaluable to all those who want to understand the role of systematic reviews, critically appraise published reviews or perform reviews themselves.

A Guide to Sample Size for Animal-based Studies

Author : Penny S. Reynolds
Publisher : John Wiley & Sons
ISBN 13 : 111979997X
Total Pages : 294 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis A Guide to Sample Size for Animal-based Studies by : Penny S. Reynolds

Download or read book A Guide to Sample Size for Animal-based Studies written by Penny S. Reynolds and published by John Wiley & Sons. This book was released on 2023-12-11 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand a foundational area of experimental design with this innovative reference Animal-based research is an essential part of basic and preclinical research, but poses a unique set of experimental design challenges. The most important of these are the 3Rs Replacement, Reduction and Refinement the principles comprising the ethical framework for humane animal-based studies. However, many researchers have difficulty navigating the design trade-offs necessary to simultaneously minimize animal use, and produce scientific information that is both rigorous and reliable. A Guide to Sample Size for Animal-Based Studies meets this need with a thorough, accessible reference work to the subject. This book provides a straightforward systematic approach to "right-sizing" animal-based experiments, with sample size estimates based on the fundamentals of statistical thinking: structured research questions, variation control and appropriate design of experiments. The result is a much-needed guide to planning animal-based experiments to ensure scientifically valid and reliable results. This book offers: Step-by-step guidance in diverse methods for approximating and refining sample size Detailed treatment of research topics specific to animal-based research, including pilot, feasibility and proof-of-concept studies Sample size approximation methods for different types of data binary, continuous, ordinal, time to event and different study types description, comparison, nested designs, reference interval construction and dose-response studies Numerous worked examples, using real data from published papers, together with SAS and R code A Guide to Sample Size for Animal-Based Studies is a must-have reference for preclinical and veterinary researchers, as well as ethical oversight committees and policymakers.

The Use of Prior Information about the Steady-state Parameter of Interest to Improve Confidence Interval Generation

Author : Thomas Robert Carlock
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (611 download)

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Book Synopsis The Use of Prior Information about the Steady-state Parameter of Interest to Improve Confidence Interval Generation by : Thomas Robert Carlock

Download or read book The Use of Prior Information about the Steady-state Parameter of Interest to Improve Confidence Interval Generation written by Thomas Robert Carlock and published by . This book was released on 2005 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamental Statistical Methods for Analysis of Alzheimer's and Other Neurodegenerative Diseases

Author : Katherine E. Irimata
Publisher : JHU Press
ISBN 13 : 1421436728
Total Pages : 481 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Fundamental Statistical Methods for Analysis of Alzheimer's and Other Neurodegenerative Diseases by : Katherine E. Irimata

Download or read book Fundamental Statistical Methods for Analysis of Alzheimer's and Other Neurodegenerative Diseases written by Katherine E. Irimata and published by JHU Press. This book was released on 2020-05-05 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: A statistics textbook that delivers essential data analysis techniques for Alzheimer's and other neurodegenerative diseases. Alzheimer's disease is a devastating condition that presents overwhelming challenges to patients and caregivers. In the face of this relentless and as-yet incurable disease, mastery of statistical analysis is paramount for anyone who must assess complex data that could improve treatment options. This unique book presents up-to-date statistical techniques commonly used in the analysis of data on Alzheimer's and other neurodegenerative diseases. With examples drawn from the real world that will make it accessible to disease researchers, practitioners, academics, and students alike, this volume • presents code for analyzing dementia data in statistical programs, including SAS, R, SPSS, and Stata • introduces statistical models for a range of data types, including continuous, categorical, and binary responses, as well as correlated data • draws on datasets from the National Alzheimer's Coordinating Center, a large relational database of standardized clinical and neuropathological research data • discusses advanced statistical methods, including hierarchical models, survival analysis, and multiple-membership • examines big data analytics and machine learning methods Easy to understand but sophisticated in its approach, Fundamental Statistical Methods for Analysis of Alzheimer's and Other Neurodegenerative Diseases will be a cornerstone for anyone looking for simplicity in understanding basic and advanced statistical data analysis topics. Allowing more people to aid in analyzing data—while promoting constructive dialogues with statisticians—this book will hopefully play an important part in unlocking the secrets of these confounding diseases.

Sequence Alignment

Author : Michael S. Rosenberg
Publisher : Univ of California Press
ISBN 13 : 0520256972
Total Pages : 356 pages
Book Rating : 4.5/5 (22 download)

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Book Synopsis Sequence Alignment by : Michael S. Rosenberg

Download or read book Sequence Alignment written by Michael S. Rosenberg and published by Univ of California Press. This book was released on 2009 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sequencing of the human genome involved thousands of scientists but used relatively few tools. Obtaining sequences is simpler, but aligning the sequences remains a complicated but underappreciated aspect of comparative molecular biology. This book discusses the practice of alignment, and the procedures by which alignments are established.

Selecting the Right Analyses for Your Data

Author : W. Paul Vogt
Publisher : Guilford Publications
ISBN 13 : 1462516025
Total Pages : 521 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis Selecting the Right Analyses for Your Data by : W. Paul Vogt

Download or read book Selecting the Right Analyses for Your Data written by W. Paul Vogt and published by Guilford Publications. This book was released on 2014-06-01 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: "What are the most effective methods to code and analyze data for a particular study? This thoughtful and engaging book reviews the selection criteria for coding and analyzing any set of data--whether qualitative, quantitative, mixed, or visual. The authors systematically explain when to use verbal, numerical, graphic, or combined codes, and when to use qualitative, quantitative, graphic, or mixed-methods modes of analysis. Chapters on each topic are organized so that researchers can read them sequentially or can easily "flip and find" answers to specific questions. Nontechnical discussions of cutting-edge approaches--illustrated with real-world examples--emphasize how to choose (rather than how to implement) the various analyses. The book shows how using the right analysis methods leads to more justifiable conclusions and more persuasive presentations of research results. Useful features for teaching or self-study: *Chapter-opening preview boxes that highlight useful topics addressed. *End-of-chapter summary tables recapping the 'dos and don'ts' and advantages and disadvantages of each analytic technique. *Annotated suggestions for further reading and technical resources on each topic. Subject Areas/Keywords: analyses, coding, combined methods, data analysis, data collection, dissertation, graphical, interpretation, mixed methods, qualitative, quantitative, research analysis, research designs, research methods, social sciences, thesis, visual Audience: Researchers, instructors, and graduate students in a range of disciplines, including psychology, education, social work, sociology, health, and management; administrators and managers who need to make data-driven decisions"--

Proceedings of the Business and Economic Statistics Section

Author : American Statistical Association. Business and Economic Statistics Section
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the Business and Economic Statistics Section by : American Statistical Association. Business and Economic Statistics Section

Download or read book Proceedings of the Business and Economic Statistics Section written by American Statistical Association. Business and Economic Statistics Section and published by . This book was released on 1993 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Intervals

Author : William Q. Meeker
Publisher : John Wiley & Sons
ISBN 13 : 1118594959
Total Pages : 648 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Statistical Intervals by : William Q. Meeker

Download or read book Statistical Intervals written by William Q. Meeker and published by John Wiley & Sons. This book was released on 2017-03-09 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes statistical intervals to quantify sampling uncertainty,focusing on key application needs and recently developed methodology in an easy-to-apply format Statistical intervals provide invaluable tools for quantifying sampling uncertainty. The widely hailed first edition, published in 1991, described the use and construction of the most important statistical intervals. Particular emphasis was given to intervals—such as prediction intervals, tolerance intervals and confidence intervals on distribution quantiles—frequently needed in practice, but often neglected in introductory courses. Vastly improved computer capabilities over the past 25 years have resulted in an explosion of the tools readily available to analysts. This second edition—more than double the size of the first—adds these new methods in an easy-to-apply format. In addition to extensive updating of the original chapters, the second edition includes new chapters on: Likelihood-based statistical intervals Nonparametric bootstrap intervals Parametric bootstrap and other simulation-based intervals An introduction to Bayesian intervals Bayesian intervals for the popular binomial, Poisson and normal distributions Statistical intervals for Bayesian hierarchical models Advanced case studies, further illustrating the use of the newly described methods New technical appendices provide justification of the methods and pathways to extensions and further applications. A webpage directs readers to current readily accessible computer software and other useful information. Statistical Intervals: A Guide for Practitioners and Researchers, Second Edition is an up-to-date working guide and reference for all who analyze data, allowing them to quantify the uncertainty in their results using statistical intervals.

Statistical Methods for Categorical Data Analysis

Author : Daniel Powers
Publisher : Emerald Group Publishing
ISBN 13 : 1781906599
Total Pages : 330 pages
Book Rating : 4.7/5 (819 download)

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Book Synopsis Statistical Methods for Categorical Data Analysis by : Daniel Powers

Download or read book Statistical Methods for Categorical Data Analysis written by Daniel Powers and published by Emerald Group Publishing. This book was released on 2008-11-13 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to methods and models for categorical data analysis and their applications in social science research. Companion website also available, at https://webspace.utexas.edu/dpowers/www/

An Investigation of the Characteristics of Bayesian Confidence Intervals for Attribute Data

Author : Alan W. Benton
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis An Investigation of the Characteristics of Bayesian Confidence Intervals for Attribute Data by : Alan W. Benton

Download or read book An Investigation of the Characteristics of Bayesian Confidence Intervals for Attribute Data written by Alan W. Benton and published by . This book was released on 1969 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this investigation was to determine the effect of some prior distributions on Bayesian confidence intervals, where the sample outcomes are either a success or a failure. It is assumed that the prior distribution may be represented by the beta distribution. (Author).