Sampling with Probability Proportional to Size from a Sorted List
Author: Albert R. Stage
Publisher:
Published: 1971
Total Pages: 24
ISBN-13:
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Author: Albert R. Stage
Publisher:
Published: 1971
Total Pages: 24
ISBN-13:
DOWNLOAD EBOOKAuthor: Albert R. Stage
Publisher: Forgotten Books
Published: 2018-03-18
Total Pages: 34
ISBN-13: 9780364907542
DOWNLOAD EBOOKExcerpt from Sampling With Probability Proportional to Size From a Sorted List Sampling with unequal probabilities of selecting a sample unit frequently can result in increased efficiency in estimating population totals. The technique requires that each unit in the population be characterized by a size variable that is correlated with the variable of real interest to be measured for that unit. If a list of the size variable can be obtained cheaply for all units in the population, then sampling with probability proportional to size (pps) according to the method developed by Hartley (1966) can be more efficient than pps sampling by other methods. How much more efficient depends on the character of the functional relation between size and the variable of real interest. The distinguishing feature of Hartley's method is that the units of the population are sampled at uniform intervals of accumulated size from a random start in the list of units sorted into order by size. Hence, the sample that is drawn is more likely to contain both small and large units than would a pps sample drawn from a randomly ordered list. Hartley has provided an expression for the true variance of estimates based on this method of selecting the sample. However, the sample estimate of this variance that he suggests is based on the assumption that the ratio of the variable of interest to the size variable is a linear function of the size variable. In a subsequent part of this paper, the assumption concerning the linearity of this relation is relaxed to include polynomial functions of the size variable. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Bengt Rosén
Publisher:
Published: 1996
Total Pages: 25
ISBN-13:
DOWNLOAD EBOOKAuthor: Graham Kalton
Publisher: SAGE
Published: 1983-09
Total Pages: 100
ISBN-13: 9780803921269
DOWNLOAD EBOOKReviews sampling methods used in surveys: simple random sampling, systematic sampling, stratification, cluster and multi-stage sampling, sampling with probability proportional to size, two-phase sampling, replicated sampling, panel designs, and non-probability sampling. Kalton discusses issues of practical implementation, including frame problems and non-response, and gives examples of sample designs for a national face-to-face interview survey and for a telephone survey. He also treats the use of weights in survey analysis, the computation of sampling errors with complex sampling designs, and the determination of sample size.
Author: Albert R. Stage
Publisher:
Published: 1971
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: R. Singh
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 390
ISBN-13: 9401714045
DOWNLOAD EBOOKModern 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.
Author: Ali Hussein Bagour
Publisher:
Published: 2004
Total Pages: 282
ISBN-13:
DOWNLOAD EBOOKAuthor: Raghunath Arnab
Publisher: Academic Press
Published: 2017-03-08
Total Pages: 932
ISBN-13: 0128118970
DOWNLOAD EBOOKSurvey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey sampling. The book covers a wide spectrum of topics on the subject, including repetitive sampling over two occasions with varying probabilities, ranked set sampling, Fays method for balanced repeated replications, mirror-match bootstrap, and controlled sampling procedures. Many topics discussed here are not available in other text books. In each section, theories are illustrated with numerical examples. At the end of each chapter theoretical as well as numerical exercises are given which can help graduate students. Covers a wide spectrum of topics on survey sampling and statistics Serves as an ideal text for graduate students and researchers in survey sampling theory and applications Contains material on recent developments in survey sampling not covered in other books Illustrates theories using numerical examples and exercises
Author: Graham Kalton
Publisher: SAGE
Published: 1983-09
Total Pages: 100
ISBN-13: 9780803921269
DOWNLOAD EBOOKReviews sampling methods used in surveys: simple random sampling, systematic sampling, stratification, cluster and multi-stage sampling, sampling with probability proportional to size, two-phase sampling, replicated sampling, panel designs, and non-probability sampling. Kalton discusses issues of practical implementation, including frame problems and non-response, and gives examples of sample designs for a national face-to-face interview survey and for a telephone survey. He also treats the use of weights in survey analysis, the computation of sampling errors with complex sampling designs, and the determination of sample size.
Author: Robert B. Ilderton
Publisher:
Published: 1983*
Total Pages: 90
ISBN-13:
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