An Introduction to Acceptance Sampling and SPC with R

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Author :
Publisher : CRC Press
ISBN 13 : 1000336557
Total Pages : 299 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to Acceptance Sampling and SPC with R by : John Lawson

Download or read book An Introduction to Acceptance Sampling and SPC with R written by John Lawson and published by CRC Press. This book was released on 2021-02-25 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Acceptance Sampling and SPC with R is an introduction to statistical methods used in monitoring, controlling and improving quality. Topics covered include acceptance sampling; Shewhart control charts for Phase I studies; graphical and statistical tools for discovering and eliminating the cause of out-of-control-conditions; Cusum and EWMA control charts for Phase II process monitoring; and the design and analysis of experiments for process troubleshooting and discovering ways to improve process output. Origins of statistical quality control and the technical topics presented in the remainder of the book are those recommended in the ANSI/ASQ/ISO guidelines and standards for industry. The final chapter ties everything together by discussing modern management philosophies that encourage the use of the technical methods presented earlier. In the modern world sampling plans and the statistical calculations used in statistical quality control are done with the help of computers. As an open source high-level programming language with flexible graphical output options, R runs on Windows, Mac and Linux operating systems, and has add-on packages that equal or exceed the capability of commercial software for statistical methods used in quality control. In this book, we will focus on several R packages. In addition to demonstrating how to use R for acceptance sampling and control charts, this book will concentrate on how the use of these specific tools can lead to quality improvements both within a company and within their supplier companies. This would be a suitable book for a one-semester undergraduate course emphasizing statistical quality control for engineering majors (such as manufacturing engineering or industrial engineering), or a supplemental text for a graduate engineering course that included quality control topics.

Introduction to Statistical Process Control

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Publisher : CRC Press
ISBN 13 : 1482220415
Total Pages : 520 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Introduction to Statistical Process Control by : Peihua Qiu

Download or read book Introduction to Statistical Process Control written by Peihua Qiu and published by CRC Press. This book was released on 2013-10-14 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major tool for quality control and management, statistical process control (SPC) monitors sequential processes, such as production lines and Internet traffic, to ensure that they work stably and satisfactorily. Along with covering traditional methods, Introduction to Statistical Process Control describes many recent SPC methods that improve upon

Acceptance Sampling in Quality Control

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Publisher : CRC Press
ISBN 13 : 1351647075
Total Pages : 761 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Acceptance Sampling in Quality Control by : Edward G. Schilling

Download or read book Acceptance Sampling in Quality Control written by Edward G. Schilling and published by CRC Press. This book was released on 2017-06-01 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acceptance Sampling in Quality Control, Third Edition presents the state of the art in the methodology of sampling while integrating both theory and best practices. It discusses various standards, including those from the ISO, MIL-STD and ASTM and explores how to set quality levels. The book also includes problems at the end of each chapter with solutions. This edition improves upon the previous editions especially in the areas of software applications and compliance sampling plans. New to the Third Edition: Numerous Microsoft Excel templates to address sampling plans are used. Commercial software applications are discussed at the end of many chapters. Discussion of quick switching systems has been expanded to account for the considerable recent activity in this area. Added discussion of zero acceptance number chained quick switching systems.

Introduction to Statistical Quality Control

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119657113
Total Pages : 773 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Introduction to Statistical Quality Control by : Douglas C. Montgomery

Download or read book Introduction to Statistical Quality Control written by Douglas C. Montgomery and published by John Wiley & Sons. This book was released on 2019-12-30 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Once solely the domain of engineers, quality control has become a vital business operation used to increase productivity and secure competitive advantage. Introduction to Statistical Quality Control offers a detailed presentation of the modern statistical methods for quality control and improvement. Thorough coverage of statistical process control (SPC) demonstrates the efficacy of statistically-oriented experiments in the context of process characterization, optimization, and acceptance sampling, while examination of the implementation process provides context to real-world applications. Emphasis on Six Sigma DMAIC (Define, Measure, Analyze, Improve and Control) provides a strategic problem-solving framework that can be applied across a variety of disciplines.Adopting a balanced approach to traditional and modern methods, this text includes coverage of SQC techniques in both industrial and non-manufacturing settings, providing fundamental knowledge to students of engineering, statistics, business, and management sciences.A strong pedagogical toolset, including multiple practice problems, real-world data sets and examples, provides students with a solid base of conceptual and practical knowledge."--

Quality Control with R

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Author :
Publisher : Springer
ISBN 13 : 3319240463
Total Pages : 349 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Quality Control with R by : Emilio L. Cano

Download or read book Quality Control with R written by Emilio L. Cano and published by Springer. This book was released on 2015-11-20 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a practitioner's guide to capabilities and best practices of quality control systems using the R programming language, this volume emphasizes accessibility and ease-of-use through detailed explanations of R code as well as standard statistical methodologies. In the interest of reaching the widest possible audience of quality-control professionals and statisticians, examples throughout are structured to simplify complex equations and data structures, and to demonstrate their applications to quality control processes, such as ISO standards. The volume balances its treatment of key aspects of quality control, statistics, and programming in R, making the text accessible to beginners and expert quality control professionals alike. Several appendices serve as useful references for ISO standards and common tasks performed while applying quality control with R.

Statistical Quality Control

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Publisher : John Wiley & Sons
ISBN 13 : 1119671639
Total Pages : 404 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Statistical Quality Control by : Bhisham C. Gupta

Download or read book Statistical Quality Control written by Bhisham C. Gupta and published by John Wiley & Sons. This book was released on 2021-04-27 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: STATISTICAL QUALITY CONTROL Provides a basic understanding of statistical quality control (SQC) and demonstrates how to apply the techniques of SQC to improve the quality of products in various sectors This book introduces Statistical Quality Control and the elements of Six Sigma Methodology, illustrating the widespread applications that both have for a multitude of areas, including manufacturing, finance, transportation, and more. It places emphasis on both the theory and application of various SQC techniques and offers a large number of examples using data encountered in real life situations to support each theoretical concept. Statistical Quality Control: Using MINITAB, R, JMP and Python begins with a brief discussion of the different types of data encountered in various fields of statistical applications and introduces graphical and numerical tools needed to conduct preliminary analysis of the data. It then discusses the basic concept of statistical quality control (SQC) and Six Sigma Methodology and examines the different types of sampling methods encountered when sampling schemes are used to study certain populations. The book also covers Phase 1 Control Charts for variables and attributes; Phase II Control Charts to detect small shifts; the various types of Process Capability Indices (CPI); certain aspects of Measurement System Analysis (MSA); various aspects of PRE-control; and more. This helpful guide also Focuses on the learning and understanding of statistical quality control for second and third year undergraduates and practitioners in the field Discusses aspects of Six Sigma Methodology Teaches readers to use MINITAB, R, JMP and Python to create and analyze charts Requires no previous knowledge of statistical theory Is supplemented by an instructor-only book companion site featuring data sets and a solutions manual to all problems, as well as a student book companion site that includes data sets and a solutions manual to all odd-numbered problems Statistical Quality Control: Using MINITAB, R, JMP and Python is an excellent book for students studying engineering, statistics, management studies, and other related fields and who are interested in learning various techniques of statistical quality control. It also serves as a desk reference for practitioners who work to improve quality in various sectors, such as manufacturing, service, transportation, medical, oil, and financial institutions. It‘s also useful for those who use Six Sigma techniques to improve the quality of products in such areas.

Six Sigma with R

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461436524
Total Pages : 284 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Six Sigma with R by : Emilio L. Cano

Download or read book Six Sigma with R written by Emilio L. Cano and published by Springer Science & Business Media. This book was released on 2012-07-04 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six Sigma has arisen in the last two decades as a breakthrough Quality Management Methodology. With Six Sigma, we are solving problems and improving processes using as a basis one of the most powerful tools of human development: the scientific method. For the analysis of data, Six Sigma requires the use of statistical software, being R an Open Source option that fulfills this requirement. R is a software system that includes a programming language widely used in academic and research departments. Nowadays, it is becoming a real alternative within corporate environments. The aim of this book is to show how R can be used as the software tool in the development of Six Sigma projects. The book includes a gentle introduction to Six Sigma and a variety of examples showing how to use R within real situations. It has been conceived as a self contained piece. Therefore, it is addressed not only to Six Sigma practitioners, but also to professionals trying to initiate themselves in this management methodology. The book may be used as a text book as well.

Introduction to Engineering Statistics and Lean Sigma

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Publisher : Springer Science & Business Media
ISBN 13 : 1849960003
Total Pages : 572 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Introduction to Engineering Statistics and Lean Sigma by : Theodore T. Allen

Download or read book Introduction to Engineering Statistics and Lean Sigma written by Theodore T. Allen and published by Springer Science & Business Media. This book was released on 2010-04-23 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lean production, has long been regarded as critical to business success in many industries. Over the last ten years, instruction in six sigma has been increasingly linked with learning about the elements of lean production. Introduction to Engineering Statistics and Lean Sigma builds on the success of its first edition (Introduction to Engineering Statistics and Six Sigma) to reflect the growing importance of the "lean sigma" hybrid. As well as providing detailed definitions and case studies of all six sigma methods, Introduction to Engineering Statistics and Lean Sigma forms one of few sources on the relationship between operations research techniques and lean sigma. Readers will be given the information necessary to determine which sigma methods to apply in which situation, and to predict why and when a particular method may not be effective. Methods covered include: • control charts and advanced control charts, • failure mode and effects analysis, • Taguchi methods, • gauge R&R, and • genetic algorithms. The second edition also greatly expands the discussion of Design For Six Sigma (DFSS), which is critical for many organizations that seek to deliver desirable products that work first time. It incorporates recently emerging formulations of DFSS from industry leaders and offers more introductory material on the design of experiments, and on two level and full factorial experiments, to help improve student intuition-building and retention. The emphasis on lean production, combined with recent methods relating to Design for Six Sigma (DFSS), makes Introduction to Engineering Statistics and Lean Sigma a practical, up-to-date resource for advanced students, educators, and practitioners.

Practical Acceptance Sampling

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Author :
Publisher : Axelrod Schnall Publishers
ISBN 13 : 0991576675
Total Pages : 106 pages
Book Rating : 4.9/5 (915 download)

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Book Synopsis Practical Acceptance Sampling by : Galit Shmueli

Download or read book Practical Acceptance Sampling written by Galit Shmueli and published by Axelrod Schnall Publishers. This book was released on 2016-07-14 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: New to the second edition: A section on Acceptance-on-Zero plans, additional screenshots from the newly-designed SQCOnline.com with several new calculators, and improved book design for enhanced readability. Practical Acceptance Sampling is a hands-on introduction to the inspection of products and services for quality assurance using statistically-based sampling plans. In today’s era of global supply chains, the path from raw materials to final product often takes place over multiple companies and across multiple continents. Acceptance sampling is key in the 21st century environment. Acceptance sampling plans provide criteria and decision rules for determining whether to accept or reject a batch based on a sample. They are therefore widely used by manufacturers, suppliers, contractors and subcontractors, and service providers in a wide range of industries. The book introduces readers to the most popular sampling plans, including Military Standards and civilian ISO and ANSI/ASQC/BS standards. It covers the design, choice and performance evaluation of different types of plans, including single- and double-stage plans, rectifying and non-rectifying plans, plans for pass/fail and continuous measurements, continuous sampling plans, and more. Practical Acceptance Sampling is suitable for courses on quality control and for quality practitioners with basic knowledge of statistics. It offers clear explanations, examples, end-of-chapter problems, and illustrations of state-of-the-art online resources. Methods are illustrated using Microsoft Excel, online calculators, and SQCOnline.com. However, any statistical software can be used with the book. A companion website to the book is available at www.SamplingBook.com

Modern Industrial Statistics

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Publisher : John Wiley & Sons
ISBN 13 : 1119714966
Total Pages : 884 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Modern Industrial Statistics by : Ron S. Kenett

Download or read book Modern Industrial Statistics written by Ron S. Kenett and published by John Wiley & Sons. This book was released on 2021-05-18 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Industrial Statistics The new edition of the prime reference on the tools of statistics used in industry and services, integrating theoretical, practical, and computer-based approaches Modern Industrial Statistics is a leading reference and guide to the statistics tools widely used in industry and services. Designed to help professionals and students easily access relevant theoretical and practical information in a single volume, this standard resource employs a computer-intensive approach to industrial statistics and provides numerous examples and procedures in the popular R language and for MINITAB and JMP statistical analysis software. Divided into two parts, the text covers the principles of statistical thinking and analysis, bootstrapping, predictive analytics, Bayesian inference, time series analysis, acceptance sampling, statistical process control, design and analysis of experiments, simulation and computer experiments, and reliability and survival analysis. Part A, on computer age statistical analysis, can be used in general courses on analytics and statistics. Part B is focused on industrial statistics applications. The fully revised third edition covers the latest techniques in R, MINITAB and JMP, and features brand-new coverage of time series analysis, predictive analytics and Bayesian inference. New and expanded simulation activities, examples, and case studies—drawn from the electronics, metal work, pharmaceutical, and financial industries—are complemented by additional computer and modeling methods. Helping readers develop skills for modeling data and designing experiments, this comprehensive volume: Explains the use of computer-based methods such as bootstrapping and data visualization Covers nonstandard techniques and applications of industrial statistical process control (SPC) charts Contains numerous problems, exercises, and data sets representing real-life case studies of statistical work in various business and industry settings Includes access to a companion website that contains an introduction to R, sample R code, csv files of all data sets, JMP add-ins, and downloadable appendices Provides an author-created R package, mistat, that includes all data sets and statistical analysis applications used in the book Part of the acclaimed Statistics in Practice series, Modern Industrial Statistics with Applications in R, MINITAB, and JMP, Third Edition, is the perfect textbook for advanced undergraduate and postgraduate courses in the areas of industrial statistics, quality and reliability engineering, and an important reference for industrial statisticians, researchers, and practitioners in related fields. The mistat R-package is available from the R CRAN repository.

Introduction to Engineering Statistics and Six Sigma

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Publisher : Springer Science & Business Media
ISBN 13 : 9781852339555
Total Pages : 560 pages
Book Rating : 4.3/5 (395 download)

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Book Synopsis Introduction to Engineering Statistics and Six Sigma by : Theodore T. Allen

Download or read book Introduction to Engineering Statistics and Six Sigma written by Theodore T. Allen and published by Springer Science & Business Media. This book was released on 2006-09-26 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains precise descriptions of all of the many related six sigma methods. It also includes many case studies that detail how these methods have been applied in engineering and business to achieve millions of dollars of savings. This book will help readers to determine exactly which methods to apply in which situations and to predict how and when the methods might not be effective. Illustrative examples are provided for all the methods presented and exercises based on the case studies help build associations between techniques and industrial problems.

Introduction to Statistical Quality Control

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Author :
Publisher : Wiley
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Introduction to Statistical Quality Control by : Christina M. Mastrangelo

Download or read book Introduction to Statistical Quality Control written by Christina M. Mastrangelo and published by Wiley. This book was released on 1991 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and expanded, this Second Edition continues to explore the modern practice of statistical quality control, providing comprehensive coverage of the subject from basic principles to state-of-the-art concepts and applications. The objective is to give the reader a thorough grounding in the principles of statistical quality control and a basis for applying those principles in a wide variety of both product and nonproduct situations. Divided into four parts, it contains numerous changes, including a more detailed discussion of the basic SPC problem-solving tools and two new case studies, expanded treatment on variable control charts with new examples, a chapter devoted entirely to cumulative-sum control charts and exponentially-weighted, moving-average control charts, and a new section on process improvement with designed experiments.

Analyzing Linguistic Data

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Publisher : Cambridge University Press
ISBN 13 : 1139470736
Total Pages : 40 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Analyzing Linguistic Data by : R. H. Baayen

Download or read book Analyzing Linguistic Data written by R. H. Baayen and published by Cambridge University Press. This book was released on 2008-03-06 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical analysis is a useful skill for linguists and psycholinguists, allowing them to understand the quantitative structure of their data. This textbook provides a straightforward introduction to the statistical analysis of language. Designed for linguists with a non-mathematical background, it clearly introduces the basic principles and methods of statistical analysis, using 'R', the leading computational statistics programme. The reader is guided step-by-step through a range of real data sets, allowing them to analyse acoustic data, construct grammatical trees for a variety of languages, quantify register variation in corpus linguistics, and measure experimental data using state-of-the-art models. The visualization of data plays a key role, both in the initial stages of data exploration and later on when the reader is encouraged to criticize various models. Containing over 40 exercises with model answers, this book will be welcomed by all linguists wishing to learn more about working with and presenting quantitative data.

Sampling Inspection Tables

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Publisher : Wiley-Interscience
ISBN 13 : 9780471255499
Total Pages : 0 pages
Book Rating : 4.2/5 (554 download)

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Book Synopsis Sampling Inspection Tables by : Harold F. Dodge

Download or read book Sampling Inspection Tables written by Harold F. Dodge and published by Wiley-Interscience. This book was released on 1998-02-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sampling inspection tables presented in this book were developed for use in the manufacture of communication apparatus and equipment for the Bell Telephone System. It assembles under one cover the three papers of original publication and adds a brief introduction. The papers have been reproduced with no modifications but the material has been rearranged in chapters. Chapter 1 outlines some of the factors to be considered in setting up inspection plans and develops a basis for minimizing the amount of inspection. Chapter 2 covers double sampling, the "average outgoing quality limit" (AOQL) concept, and the mathematical background of the tables. Chapter 3 is a reproduction by permission, which outlines the shop procedures for applying the tables.

Statistical Aspects of the Microbiological Examination of Foods

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Publisher : Academic Press
ISBN 13 : 0128039744
Total Pages : 352 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Statistical Aspects of the Microbiological Examination of Foods by : Basil Jarvis

Download or read book Statistical Aspects of the Microbiological Examination of Foods written by Basil Jarvis and published by Academic Press. This book was released on 2016-07-12 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Aspects of the Microbiological Examination of Foods, Third Edition, updates some important statistical procedures following intensive collaborative work by many experts in microbiology and statistics, and corrects typographic and other errors present in the previous edition. Following a brief introduction to the subject, basic statistical concepts and procedures are described including both theoretical and actual frequency distributions that are associated with the occurrence of microorganisms in foods. This leads into a discussion of the methods for examination of foods and the sources of statistical and practical errors associated with the methods. Such errors are important in understanding the principles of measurement uncertainty as applied to microbiological data and the approaches to determination of uncertainty. The ways in which the concept of statistical process control developed many years ago to improve commercial manufacturing processes can be applied to microbiological examination in the laboratory. This is important in ensuring that laboratory results reflect, as precisely as possible, the microbiological status of manufactured products through the concept and practice of laboratory accreditation and proficiency testing. The use of properly validated standard methods of testing and the verification of ‘in house’ methods against internationally validated methods is of increasing importance in ensuring that laboratory results are meaningful in relation to development of and compliance with established microbiological criteria for foods. The final chapter of the book reviews the uses of such criteria in relation to the development of and compliance with food safety objectives. Throughout the book the theoretical concepts are illustrated in worked examples using real data obtained in the examination of foods and in research studies concerned with food safety. Includes additional figures and tables together with many worked examples to illustrate the use of specific procedures in the analysis of data obtained in the microbiological examination of foods Offers completely updated chapters and six new chapters Brings the reader up to date and allows easy access to individual topics in one place Corrects typographic and other errors present in the previous edition

Statistical Applications for Chemistry, Manufacturing and Controls (CMC) in the Pharmaceutical Industry

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Author :
Publisher : Springer
ISBN 13 : 3319501860
Total Pages : 379 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Statistical Applications for Chemistry, Manufacturing and Controls (CMC) in the Pharmaceutical Industry by : Richard K. Burdick

Download or read book Statistical Applications for Chemistry, Manufacturing and Controls (CMC) in the Pharmaceutical Industry written by Richard K. Burdick and published by Springer. This book was released on 2017-02-14 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines statistical techniques that are critically important to Chemistry, Manufacturing, and Control (CMC) activities. Statistical methods are presented with a focus on applications unique to the CMC in the pharmaceutical industry. The target audience consists of statisticians and other scientists who are responsible for performing statistical analyses within a CMC environment. Basic statistical concepts are addressed in Chapter 2 followed by applications to specific topics related to development and manufacturing. The mathematical level assumes an elementary understanding of statistical methods. The ability to use Excel or statistical packages such as Minitab, JMP, SAS, or R will provide more value to the reader. The motivation for this book came from an American Association of Pharmaceutical Scientists (AAPS) short course on statistical methods applied to CMC applications presented by four of the authors. One of the course participants asked us for a good reference book, and the only book recommended was written over 20 years ago by Chow and Liu (1995). We agreed that a more recent book would serve a need in our industry. Since we began this project, an edited book has been published on the same topic by Zhang (2016). The chapters in Zhang discuss statistical methods for CMC as well as drug discovery and nonclinical development. We believe our book complements Zhang by providing more detailed statistical analyses and examples.

Frontiers in Statistical Quality Control 6

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Publisher : Springer Science & Business Media
ISBN 13 : 3642575900
Total Pages : 375 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Frontiers in Statistical Quality Control 6 by : Hans-Joachim Lenz

Download or read book Frontiers in Statistical Quality Control 6 written by Hans-Joachim Lenz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1920's, Walter Shewhart visualized that the marriage of statistical methods and manufacturing processes would produce reliable and consistent quality products. Shewhart (1931) conceived the idea of statistical process control (SPC) and developed the well-known and appropriately named Shewhart control chart. However, from the 1930s to the 1990s, literature on SPC schemes have been "captured" by the Shewhart paradigm of normality, independence and homogeneous variance. When in fact, the problems facing today's industries are more inconsistent than those faced by Shewhart in the 1930s. As a result of the advances in machine and sensor technology, process data can often be collected on-line. In this situation, the process observations that result from data collection activities will frequently not be serially independent, but autocorrelated. Autocorrelation has a significant impact on a control chart: the process may not exhibit a state of statistical control when in fact, it is in control. As the prevalence of this type of data is expected to increase in industry (Hahn 1989), so does the need to control and monitor it. Equivalently, literature has reflected this trend, and research in the area of SPC with autocorrelated data continues so that effective methods of handling correlated data are available. This type of data regularly occurs in the chemical and process industries, and is pervasive in computer-integrated manufacturing environments, clinical laboratory settings and in the majority of SPC applications across various manufacturing and service industries (Alwan 1991).