Statistical Tolerance Regions
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| Author | : Kalimuthu Krishnamoorthy |
| Publisher | : John Wiley & Sons |
| Total Pages | : 494 |
| Release | : 2009-05-06 |
| Genre | : Mathematics |
| ISBN | : 0470473894 |
A modern and comprehensive treatment of tolerance intervals and regions The topic of tolerance intervals and tolerance regions has undergone significant growth during recent years, with applications arising in various areas such as quality control, industry, and environmental monitoring. Statistical Tolerance Regions presents the theoretical development of tolerance intervals and tolerance regions through computational algorithms and the illustration of numerous practical uses and examples. This is the first book of its kind to successfully balance theory and practice, providing a state-of-the-art treatment on tolerance intervals and tolerance regions. The book begins with the key definitions, concepts, and technical results that are essential for deriving tolerance intervals and tolerance regions. Subsequent chapters provide in-depth coverage of key topics including: Univariate normal distribution Non-normal distributions Univariate linear regression models Nonparametric tolerance intervals The one-way random model with balanced data The multivariate normal distribution The one-way random model with unbalanced data The multivariate linear regression model General mixed models Bayesian tolerance intervals A final chapter contains coverage of miscellaneous topics including tolerance limits for a ratio of normal random variables, sample size determination, reference limits and coverage intervals, tolerance intervals for binomial and Poisson distributions, and tolerance intervals based on censored samples. Theoretical explanations are accompanied by computational algorithms that can be easily replicated by readers, and each chapter contains exercise sets for reinforcement of the presented material. Detailed appendices provide additional data sets and extensive tables of univariate and multivariate tolerance factors. Statistical Tolerance Regions is an ideal book for courses on tolerance intervals at the graduate level. It is also a valuable reference and resource for applied statisticians, researchers, and practitioners in industry and pharmaceutical companies.
| Author | : Irwin Guttman |
| Publisher | : |
| Total Pages | : 168 |
| Release | : 1970 |
| Genre | : Distribution (Probability theory) |
| ISBN | : |
| Author | : Camil Fuchs |
| Publisher | : CRC Press |
| Total Pages | : 229 |
| Release | : 1998-04-22 |
| Genre | : Business & Economics |
| ISBN | : 148227373X |
Provides a theoretical foundation as well as practical tools for the analysis of multivariate data, using case studies and MINITAB computer macros to illustrate basic and advanced quality control methods. This work offers an approach to quality control that relies on statistical tolerance regions, and discusses computer graphic analysis highlightin
| Author | : Gerald J. Hahn |
| Publisher | : John Wiley & Sons |
| Total Pages | : 423 |
| Release | : 2011-09-28 |
| Genre | : Mathematics |
| ISBN | : 0470317442 |
Presents a detailed exposition of statistical intervals and emphasizes applications in industry. The discussion differentiates at an elementary level among different kinds of statistical intervals and gives instruction with numerous examples and simple math on how to construct such intervals from sample data. This includes confidence intervals to contain a population percentile, confidence intervals on probability of meeting specified threshold value, and prediction intervals to include observation in a future sample. Also has an appendix containing computer subroutines for nonparametric statistical intervals.
| Author | : William Q. Meeker |
| Publisher | : John Wiley & Sons |
| Total Pages | : 648 |
| Release | : 2017-03-09 |
| Genre | : Mathematics |
| ISBN | : 1118594959 |
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.
| Author | : Regina Y. Liu |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 264 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821835963 |
The book is a collection of some of the research presented at the workshop of the same name held in May 2003 at Rutgers University. The workshop brought together researchers from two different communities: statisticians and specialists in computational geometry. The main idea unifying these two research areas turned out to be the notion of data depth, which is an important notion both in statistics and in the study of efficiency of algorithms used in computational geometry. Many of the articles in the book lay down the foundations for further collaboration and interdisciplinary research. Information for our distributors: Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM).
| Author | : D.R. Helsel |
| Publisher | : Elsevier |
| Total Pages | : 539 |
| Release | : 1993-03-03 |
| Genre | : Science |
| ISBN | : 0080875084 |
Data on water quality and other environmental issues are being collected at an ever-increasing rate. In the past, however, the techniques used by scientists to interpret this data have not progressed as quickly. This is a book of modern statistical methods for analysis of practical problems in water quality and water resources.The last fifteen years have seen major advances in the fields of exploratory data analysis (EDA) and robust statistical methods. The 'real-life' characteristics of environmental data tend to drive analysis towards the use of these methods. These advances are presented in a practical and relevant format. Alternate methods are compared, highlighting the strengths and weaknesses of each as applied to environmental data. Techniques for trend analysis and dealing with water below the detection limit are topics covered, which are of great interest to consultants in water-quality and hydrology, scientists in state, provincial and federal water resources, and geological survey agencies.The practising water resources scientist will find the worked examples using actual field data from case studies of environmental problems, of real value. Exercises at the end of each chapter enable the mechanics of the methodological process to be fully understood, with data sets included on diskette for easy use. The result is a book that is both up-to-date and immediately relevant to ongoing work in the environmental and water sciences.
| Author | : Kwanchai A. Gomez |
| Publisher | : John Wiley & Sons |
| Total Pages | : 698 |
| Release | : 1984-02-17 |
| Genre | : Technology & Engineering |
| ISBN | : 9780471870920 |
Here in one easy-to-understand volume are the statistical procedures and techniques the agricultural researcher needs to know in order to design, implement, analyze, and interpret the results of most experiments with crops. Designed specifically for the non-statistician, this valuable guide focuses on the practical problems of the field researcher. Throughout, it emphasizes the use of statistics as a tool of research—one that will help pinpoint research problems and select remedial measures. Whenever possible, mathematical formulations and statistical jargon are avoided. Originally published by the International Rice Research Institute, this widely respected guide has been totally updated and much expanded in this Second Edition. It now features new chapters on the analysis of multi-observation data and experiments conducted over time and space. Also included is a chapter on experiments in farmers' fields, a subject of major concern in developing countries where agricultural research is commonly conducted outside experiment stations. Statistical Procedures for Agricultural Research, Second Edition will prove equally useful to students and professional researchers in all agricultural and biological disciplines. A wealth of examples of actual experiments help readers to choose the statistical method best suited for their needs, and enable even the most complicated procedures to be easily understood and directly applied. An International Rice Research Institute Book
| Author | : Robert E Spence |
| Publisher | : World Scientific |
| Total Pages | : 234 |
| Release | : 1997-03-27 |
| Genre | : Technology & Engineering |
| ISBN | : 178326263X |
Tolerance design techniques are playing an increasingly important role in maximizing the manufacturing yield of mass-produced electronic circuits. Tolerance Design of Electronic Circuits presents an account of design and analysis methods used to minimize the unwanted effects of component tolerances.Highlights of the book include• An overview of the concepts of Tolerance Analysis and Design• A detailed discussion of the Statistical Exploration Approach to tolerance design• An engineering discussion of the Monte Carlo statistical method• A presentation of several successful examples of the application of tolerance designThis book will be highly appropriate for professional Electronic Circuit Designers, Computer Aided Design Specialists, Electronic Engineering undergraduates and graduates taking courses in Advanced Electronic Circuit Design.
| Author | : John L. Sullivan |
| Publisher | : University of Chicago Press |
| Total Pages | : 288 |
| Release | : 1993-05-15 |
| Genre | : Philosophy |
| ISBN | : 0226779920 |
This path-breaking book reconceptualizes our understanding of political tolerance as well as of its foundations. Previous studies, the authors contend, overemphasized the role of education in explaining the presence of tolerance, while giving insufficient weight to personality and ideological factors. With an innovative methodology for measuring levels of tolerance more accurately, the authors are able to explain why particular groups are targeted and why tolerance is an inherently political concept. Far from abating, the degree of intolerance in America today is probably as great as it ever was; it is the targets of intolerance that have changed.
