Download or read book The Use of an Auxiliary Variable in Optimum Stratification written by Spencer Theodore Chester and published by . This book was released on 1979 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: When stratification is employed to reduce the variance of an estimate of the population mean, and the population does not possess an a priori partitioning, the degree of reduction provided is affected by the method of allocation, by the number of strata, and by the choice of the stratum boundaries. However, the most effective use of either the method of allocation or the choice of the number of strata is attained when one employs the points of optimum stratification. It was shown by Dalenius (1950), when the stratification and study variables are identical, and by Dalenius and Gurney (1951), when the stratification is on an auxiliary variable related to the study variable by a known regression function, that the optimum stratification boundaries were theoretically obtainable as the solution of a system of non-linear equations. In practice, when nothing is known about the relationship between the study and auxiliary variables, Dalenius's original equations are used with the auxiliary variable as an approximation to the points of optimum stratification. Over the range of variable populations and regression functions commonly found in practice, an empirical study is made of the effect this approximation has on the reduction in variance compared with the use of simple random sampling. The effect these approximate boundary points have on the choice of the method of allocation is also considered. When something is known about the character of the regression function between the two variables, the cumbersome nature of the Dalenius- Gurney equations in practice suggests determining the stratum boundaries by employing one of a series of approximations proposed in the literature. An empirical study is made of the performance of these approximations, comparing the approximate boundaries with the optimum stratification boundaries. Finally, once the method of allocation and the mechanism for computing the stratum boundaries are chosen, the number of strata to use must be determined. An algorithm is introduced that quantifies the effect the increase in the number of strata has on the reduction in variance. With this algorithm, an emirical study is made of the approximations that have appeared in the literature designed to model the relationship between the number of strata and the precision of the estimate of the population mean.

Download or read book Post Stratified Estimation Using a Known Auxiliary Variable written by Mostafa Bedier and published by . This book was released on 1989 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Post stratification is considered desirable in sample surveys for two reasons - it reduces the mean squared error when averaged over all possible samples, and it reduces the conditional bias when conditioned on stratum sample sizes. The problem studied in this thesis is post stratified estimation of a finite population mean when there is a known auxiliary variable for each population unit. The primary direction of the thesis follows the lines of Holt and Smith (1979). A method is given for using the auxiliary variable in selection of the stratum boundaries and, using this approach to determine strata, to compare post stratified estimates with the self -weighting estimates from the analytical and empirical points of view. Estimates studied are: the post stratified mean, the post stratified combined ratio, and the post stratified separate ratio. The thesis contains simulation results that explore the distributions of the self -weighting estimates, and the post stratified estimates using conditional and unconditional inferences. The correct coverage properties of the confidence intervals are compared and the design effect, i.e. the ratio of the variance of the self -weighting to the variance of post stratified estimates, is calculated from the samples and its distribution explored by the simulation study for several real and artificial populations. The confidence intervals of post stratified estimates using conditional variances had good coverage properties for each sample configuration used, and hence the correct coverage property over all possible samples provided that the Central Limit Theorem was applied. The comparisons indicated that post stratification is an effective approach when the boundaries are obtained based on proper stratification using an auxiliary variable. Moreover it is more efficient than estimation based on simple random sampling in reducing the mean squared error. Finally, there is strong evidence that the post stratified estimates are robust against poorly distributed samples, whereas empirical investigations suggested that the self -weighting estimates are very poor when the samples are unbalanced.

Download or read book A Class Of Separate Type Estimators For Population Mean In Stratified Sampling Using Known Parameters Under Non Response written by Manoj K. Chaudhary and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of the present paper is to propose a family of separate-type estimators of population mean in stratified random sampling in presence of non response based on the family of estimators proposed by Khoshnevisan et al. (2007)

Download or read book On Improvement in Estimating Population Parameter s Using Auxiliary Information written by Rajesh Singh and published by Infinite Study. This book was released on 2013 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Use of Auxiliary Variables in Sampling and Estimation written by C. Singh and published by . This book was released on 1986 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Efficient Use of Supplementary Information in Finite Population Sampling written by Rajesh Singh and published by Infinite Study. This book was released on 2014 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of writing this book is to suggest some improved estimators using auxiliary information in sampling schemes like simple random sampling, systematic sampling and stratified random sampling. This volume is a collection of five papers, written by nine co-authors (listed in the order of the papers): Rajesh Singh, Mukesh Kumar, Manoj Kr. Chaudhary, Cem Kadilar, Prayas Sharma, Florentin Smarandache, Anil Prajapati, Hemant Verma, and Viplav Kr. Singh. In first paper dual to ratio-cum-product estimator is suggested and its properties are studied. In second paper an exponential ratio-product type estimator in stratified random sampling is proposed and its properties are studied under second order approximation. In third paper some estimators are proposed in two-phase sampling and their properties are studied in the presence of non-response. In fourth chapter a family of median based estimator is proposed in simple random sampling. In fifth paper some difference type estimators are suggested in simple random sampling and stratified random sampling and their properties are studied in presence of measurement error.

Download or read book Elements of Survey Sampling written by R. Singh and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern statistics consists of methods which help in drawing inferences about the population under consideration. These populations may actually exist, or could be generated by repeated· experimentation. The medium of drawing inferences about the population is the sample, which is a subset of measurements selected from the population. Each measurement in the sample is used for making inferences about the population. The populations and also the methods of sample selection differ from one field of science to the other. Social scientists use surveys tocollectthe sample information, whereas the physical scientists employ the method of experimentation for obtaining this information. This is because in social sciences the factors that cause variation in the measurements on the study variable for the population units can not be controlled, whereas in physical sciences these factors can be controlled, at least to some extent, through proper experimental design. Several excellent books on sampling theory are available in the market. These books discuss the theory of sample surveys in great depth and detail, and are suited to the postgraduate students majoring in statistics. Research workers in the field of sampling methodology can also make use of these books. However, not many suitable books are available, which can be used by the students and researchers in the fields of economics, social sciences, extension education, agriculture, medical sciences, business management, etc. These students and workers usually conduct sample surveys during their research projects.

Download or read book Advanced Sampling Theory With Applications written by Sarjinder Singh and published by Springer Science & Business Media. This book was released on 2003 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive expose of basic and advanced sampling techniques along with their applications in the diverse fields of science and technology.

Download or read book Advanced Sampling Theory with Applications written by S. Singh and published by Springer Science & Business Media. This book was released on 2013-01-07 with total page 1242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a multi-purpose document. It can be used as a text by teachers, as a reference manual by researchers, and as a practical guide by statisticians. It covers 1165 references from different research journals through almost 1900 citations across 1194 pages, a large number of complete proofs of theorems, important results such as corollaries, and 324 unsolved exercises from several research papers. It includes 159 solved, data-based, real life numerical examples in disciplines such as Agriculture, Demography, Social Science, Applied Economics, Engineering, Medicine, and Survey Sampling. These solved examples are very useful for an understanding of the applications of advanced sampling theory in our daily life and in diverse fields of science. An additional 173 unsolved practical problems are given at the end of the chapters. University and college professors may find these useful when assigning exercises to students. Each exercise gives exposure to several complete research papers for researchers/students.

Download or read book Uses of Sampling Techniques Inventory Control with Capacity Constraints written by Sachin Malik and published by Infinite Study. This book was released on with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of the present book is to suggest some improved estimators using auxiliary and attribute information in case of simple random sampling and stratified random sampling and some inventory models related to capacity constraints. This volume is a collection of five papers, written by six co-authors (listed in the order of the papers): Dr. Rajesh Singh, Dr. Sachin Malik, Dr. Florentin Smarandache, Dr. Neeraj Kumar, Mr. Sanjey Kumar & Pallavi Agarwal. In the first chapter authors suggest an estimator using two auxiliary variables in stratified random sampling for estimating population mean. In second chapter they proposed a family of estimators for estimating population means using known value of some population parameters. In Chapter third an almost unbiased estimator using known value of some population parameter(s) with known population proportion of an auxiliary variable has been used. In Chapter four the authors investigates a fuzzy economic order quantity model for two storage facility. The demand, holding cost, ordering cost, storage capacity of the own - warehouse are taken as trapezoidal fuzzy numbers. In Chapter five a two-warehouse inventory model deals with deteriorating items, with stock dependent demand rate and model affected by inflation under the pattern of time value of money over a finite planning horizon. Shortages are allowed and partially backordered depending on the waiting time for the next replenishment. The purpose of this model is to minimize the total inventory cost by using the genetic algorithm. This book will be helpful for the researchers and students who are working in the field of sampling techniques and inventory control.

Download or read book Comparative Efficiency of Sampling Plans illustration apple Trees written by Earl E. Houseman and published by . This book was released on 1978 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Estimating the Population Mean in Stratified Population using Auxiliary Information under Non Response written by Manoj Kr. Chaudhary and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present chapter deals with the study of general family of factor-type estimators for estimating population mean of stratified population in the presence of nonresponse whenever information on an auxiliary variable are available.

Download or read book Population Parameters written by Hamish McCallum and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ecologists and environmental managers rely on mathematical models, both to understand ecological systems and to predict future system behavior. In turn, models rely on appropriate estimates of their parameters. This book brings together a diverse and scattered literature, to provide clear guidance on how to estimate parameters for models of animal populations. It is not a recipe book of statistical procedures. Instead, it concentrates on how to select the best approach to parameter estimation for a particular problem, and how to ensure that the quality estimated is the appropriate one for the specific purpose of the modelling exercise. Commencing with a toolbox of useful generic approaches to parameter estimation, the book deals with methods for estimating parameters for single populations. These parameters include population size, birth and death rates, and the population growth rate. For such parameters, rigorous statistical theory has been developed, and software is readily available. The problem is to select the optimal sampling design and method of analysis. The second part of the book deals with parameters that describe spatial dynamics, and ecological interactions such as competition, predation and parasitism. Here the principle problems are designing appropriate experiments and ensuring that the quantities measured by the experiments are relevant to the ecological models in which they will be used. This book will be essential reading for ecological researchers, postgraduate students and environmental managers who need to address an ecological problem through a population model. It is accessible to anyone with an understanding of basic statistical methods and population ecology. Unique in concentrating on parameter estimation within modelling. Fills a glaring gap in the literature. Not too technical, so suitable for the statistically inept. Methods explained in algebra, but also in worked examples using commonly available computer packages (SAS, GLIM, and some more specialised packages where relvant). Some spreadsheet based examples also included.

Download or read book Parallel Problem Solving from Nature PPSN IX written by Thomas Philip Runarsson and published by Springer Science & Business Media. This book was released on 2006-09-13 with total page 1079 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Parallel Problem Solving from Nature, PPSN 2006. The book presents 106 revised full papers covering a wide range of topics, from evolutionary computation to swarm intelligence and bio-inspired computing to real-world applications. These are organized in topical sections on theory, new algorithms, applications, multi-objective optimization, evolutionary learning, as well as representations, operators, and empirical evaluation.

Download or read book O S U Theses and Dissertations 1978 1982 written by Oregon State University and published by . This book was released on 1983 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book THEORY AND METHODS OF SURVEY SAMPLING written by PARIMAL MUKHOPADHYAY and published by PHI Learning Pvt. Ltd.. This book was released on 2008-12-19 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive exposition of survey sampling useful both to the students of statistics for the course on sample survey and to the survey statisticians and practitioners involved in consultancy services, marketing, opinion polls, and so on. The text offers updated review of difficult classical techniques of survey sampling, besides covering prediction-theoretic approach of survey sampling and nonsampling errors. NEW TO THIS EDITION Two new chapters—Nonparametric Methods of Variance Estimation (Chapter 19) and Analysis of Complex Surveys (Chapter 20)—have been added. These would greatly benefit the readers. KEY FEATURES  Covers concepts of unequal probability sampling.  Provides problems of making inference from finite population using tools of classical inference.  Describes nonsampling errors including Randomised Response Techniques.  Gives over 70 worked-out examples and more than 120 problems and solutions.  Supplies live data from India and Sweden—in examples and exercises. What the Reviewer says: This is a very comprehensive modern text on survey sampling with a strong slant towards theoretical results. The book is an excellent reference book and would be a good graduate level sampling text for a course with an emphasis on sampling theory. — JESSE C. ARNOLD, Virginia Polytechnic Institute and State University

Download or read book Bulletin Institute of Mathematical Statistics written by Institute of Mathematical Statistics and published by . This book was released on 1980 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: