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Book Estimation of Population Proportion with Ranked Set Samples in the Presence of Multiple Concomitants

Download or read book Estimation of Population Proportion with Ranked Set Samples in the Presence of Multiple Concomitants written by Amirhossein Alvandi and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Ranked Set Sampling (RSS) design as one of the most renowned cost-effective sampling methods, have found a wide range of applications from agriculture to medical research. This statistical approach is commonly used in situations where measuring a variable of interest is expensive and time-consuming, however, small ordered sets of sampling units can be produced utilizing some source of auxiliary information as the ranking criterion. These concomitant variables may include any easily measurable characteristic of the units such as visually assessed cytological characteristics of patients. When ranking the units in a set, it is often unfeasible to assign unique ranks to all units. To provide some flexibility, we allow declaring ties among the individuals, and utilize the tie structure data for estimation purposes. Several authors have applied this sampling method to the problem of population proportion estimation. Throughout this thesis, we discuss various estimation procedures for population proportion using Partially Rank Ordered Set (PROS) sampling method which accomplishes the tie declarations by dividing sampling units into partially ranked subsets. We also discuss an estimation procedure that use logistic regression proportion estimates for ranking the sampling units. However, the most important contribution of our research is to extend six non-parametric and maximum likelihood population proportion estimators to incorporate the ranking information obtained from multiple sources. Through extensive simulation studies, and real data analysis, we investigate the performance of eight proportion estimators under various settings of ranking quality, and tie structures among the ranks. We show the universal superiority of RSS-based estimators over their counterparts using Simple Random Sampling (SRS), and the significant improvement in the estimation efficiency by combining the tie structure information of multiple concomitant variables.

Book Ranked Set Sampling

Download or read book Ranked Set Sampling written by Carlos N. Bouza-Herrera and published by Academic Press. This book was released on 2018-10-16 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ranked Set Sampling: 65 Years Improving the Accuracy in Data Gathering is an advanced survey technique which seeks to improve the likelihood that collected sample data presents a good representation of the population and minimizes the costs associated with obtaining them. The main focus of many agricultural, ecological and environmental studies is the development of well designed, cost-effective and efficient sampling designs, giving RSS techniques a particular place in resolving the disciplinary problems of economists in application contexts, particularly experimental economics. This book seeks to place RSS at the heart of economic study designs. Focuses on how researchers should manipulate RSS techniques for specific applications Discusses RSS performs in popular statistical models, such as regression and hypothesis testing Includes a discussion of open theoretical research problems Provides mathematical proofs, enabling researchers to develop new models

Book Ranked Set Sampling Models and Methods

Download or read book Ranked Set Sampling Models and Methods written by Bouza-Herrera, Carlos N. and published by IGI Global. This book was released on 2021-08-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: When it comes to data collection and analysis, ranked set sampling (RSS) continues to increasingly be the focus of methodological research. This type of sampling is an alternative to simple random sampling and can offer substantial improvements in precision and efficient estimation. There are different methods within RSS that can be further explored and discussed. On top of being efficient, RSS is cost-efficient and can be used in situations where sample units are difficult to obtain. With new results in modeling and applications, and a growing importance in theory and practice, it is essential for modeling to be further explored and developed through research. Ranked Set Sampling Models and Methods presents an innovative look at modeling survey sampling research and new models of RSS along with the future potentials of it. The book provides a panoramic view of the state of the art of RSS by presenting some previously known and new models. The chapters illustrate how the modeling is to be developed and how they improve the efficiency of the inferences. The chapters highlight topics such as bootstrap methods, fuzzy weight ranked set sampling method, item count technique, stratified ranked set sampling, and more. This book is essential for statisticians, social and natural science scientists, physicians and all the persons involved with the use of sampling theory in their research along with practitioners, researchers, academicians, and students interested in the latest models and methods for ranked set sampling.

Book Ranked Set Sampling

    Book Details:
  • Author : Munir Ahmad
  • Publisher : Cambridge Scholars Publishing
  • Release : 2010-09-13
  • ISBN : 1443825220
  • Pages : 240 pages

Download or read book Ranked Set Sampling written by Munir Ahmad and published by Cambridge Scholars Publishing. This book was released on 2010-09-13 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ranked Set Sampling is one of the new areas of study in this region of the world and is a growing subject of research. Recently, researchers have paid attention to the development of the types of sampling; though it was not welcome in the beginning, it has numerous advantages over the classical sampling techniques. Ranked Set Sampling is doubly random and can be used in any survey designs. The Pakistan Journal of Statistics had attracted statisticians and samplers around the world to write up aspects of Ranked Set Sampling. All of the essays in this book have been reviewed by many critics. This volume can be used as a reference book for postgraduate students in economics, social sciences, medical and biological sciences, and statistics. The subject is still a hot topic for MPhil and PhD students for their dissertations.

Book Contributions to Statistics

Download or read book Contributions to Statistics written by Jaroslav Hájek and published by Springer. This book was released on 1979-08-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The death of Jaroslav Hajek on June 10, 1974 was a heavy loss to many mathe maticians all around the world. The impact of his work on mathematical statistics has been so extraordinary that it has completely changed the character of some fields of this science. Some of his ideas have become a part of the common statistical conSClOusness. Hajek's contribution to statistics includes research in the theory of rank tests, parametric estimation, probability sampling, statistical inference in stochastic processes and various other specializations. His results were always of fundamental character for the corresponding field and they continue to stimulate further research and progress. For proving the results, he developed original methods which are now commonly used for the solution of many related problems. Hajek was an enthusiastic mathematician; the secret of his success was in his love for the subject and in his great sense for practical applications; just practical problems provided him the source of excellent mathematical problems and ideas. We see the best way of commemorating Jaroslav Hajek in the arrangement of the present volume which collects papers of authors whose work is related to Hajek's work and who were friends of him. The authors come from Czechoslovakia, Hungary. the Netherlands, Sweden, U.S.A .. U.S.S.R., and West Germany. I wish to thank most cordially all the authors and all who contributed in any way to the success of the publication.

Book American Doctoral Dissertations

Download or read book American Doctoral Dissertations written by and published by . This book was released on 2000 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dissertation Abstracts International

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2009 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Handling Missing Data in Ranked Set Sampling

Download or read book Handling Missing Data in Ranked Set Sampling written by Carlos N. Bouza-Herrera and published by Springer Science & Business Media. This book was released on 2013-10-04 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​The existence of missing observations is a very important aspect to be considered in the application of survey sampling, for example. In human populations they may be caused by a refusal of some interviewees to give the true value for the variable of interest. Traditionally, simple random sampling is used to select samples. Most statistical models are supported by the use of samples selected by means of this design. In recent decades, an alternative design has started being used, which, in many cases, shows an improvement in terms of accuracy compared with traditional sampling. It is called Ranked Set Sampling (RSS). A random selection is made with the replacement of samples, which are ordered (ranked). The literature on the subject is increasing due to the potentialities of RSS for deriving more effective alternatives to well-established statistical models. In this work, the use of RSS sub-sampling for obtaining information among the non respondents and different imputation procedures are considered. RSS models are developed as counterparts of well-known simple random sampling (SRS) models. SRS and RSS models for estimating the population using missing data are presented and compared both theoretically and using numerical experiments.

Book Ranked Set Sampling

    Book Details:
  • Author : Zehua Chen
  • Publisher : Springer Science & Business Media
  • Release : 2013-03-09
  • ISBN : 0387216642
  • Pages : 235 pages

Download or read book Ranked Set Sampling written by Zehua Chen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book on the concept and applications of ranked set sampling. It provides a comprehensive review of the literature, and it includes many new results and novel applications. The detailed description of various methods illustrated by real or simulated data makes it useful for scientists and practitioners in application areas such as agriculture, forestry, sociology, ecological and environmental science, and medical studies. It can serve as a reference book and as a textbook for a short course at the graduate level.

Book Estimation Based on Ranked Set Samples

Download or read book Estimation Based on Ranked Set Samples written by Paul Haakon Kvam and published by . This book was released on 1990 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Journal of Statistical Planning and Inference

Download or read book Journal of Statistical Planning and Inference written by North-Holland Publishing Company and published by . This book was released on 2002 with total page 1576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book An Author and Permuted Title Index to Selected Statistical Journals

Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by Brian L. Joiner and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.

Book Practical Statistics for Medical Research

Download or read book Practical Statistics for Medical Research written by Douglas G. Altman and published by CRC Press. This book was released on 1990-11-22 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Statistics for Medical Research is a problem-based text for medical researchers, medical students, and others in the medical arena who need to use statistics but have no specialized mathematics background. The author draws on twenty years of experience as a consulting medical statistician to provide clear explanations to key statistical concepts, with a firm emphasis on practical aspects of designing and analyzing medical research. Using real data and including dozens of interesting data sets, this bestselling text gives special attention to the presentation and interpretation of results and the many real problems that arise in medical research.

Book Robust Rank Based and Nonparametric Methods

Download or read book Robust Rank Based and Nonparametric Methods written by Regina Y. Liu and published by Springer. This book was released on 2016-09-20 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributors to this volume include many of the distinguished researchers in this area. Many of these scholars have collaborated with Joseph McKean to develop underlying theory for these methods, obtain small sample corrections, and develop efficient algorithms for their computation. The papers cover the scope of the area, including robust nonparametric rank-based procedures through Bayesian and big data rank-based analyses. Areas of application include biostatistics and spatial areas. Over the last 30 years, robust rank-based and nonparametric methods have developed considerably. These procedures generalize traditional Wilcoxon-type methods for one- and two-sample location problems. Research into these procedures has culminated in complete analyses for many of the models used in practice including linear, generalized linear, mixed, and nonlinear models. Settings are both multivariate and univariate. With the development of R packages in these areas, computation of these procedures is easily shared with readers and implemented. This book is developed from the International Conference on Robust Rank-Based and Nonparametric Methods, held at Western Michigan University in April 2015.