Last edited by Gami
Thursday, July 9, 2020 | History

3 edition of Using a stochastic model in stratified sampling found in the catalog.

Using a stochastic model in stratified sampling

by Donald M. Roberts

  • 380 Want to read
  • 35 Currently reading

Published by College of Commerce and Business Administration, University of Illinois at Urbana-Champaign in [Urbana, Ill.] .
Written in English

    Subjects:
  • Auditing,
  • Error analysis (Mathematics),
  • Sampling (Statistics)

  • Edition Notes

    StatementDonald Roberts...
    SeriesFaculty working papers - University of Illinois at Urbana-Champaign, College of Commerce and Business Administration -- no. 640, Faculty working papers -- no. 640.
    ContributionsUniversity of Illinois at Urbana-Champaign. College of Commerce and Business Administration
    The Physical Object
    Pagination17 p. :
    Number of Pages17
    ID Numbers
    Open LibraryOL24832984M
    OCLC/WorldCa6186583

    The model based study of various estimators provides insight about their behavior under a linear stochastic model. This book provides a detailed discussion about properties of various estimators under a linear stochastic model both in equal and unequal probability sampling. Finally, the book presents useful material on multiphase sampling. Stratified random sampling involves dividing the population members into non-overlapping groups called strata, defined by selected characteristics and each sampled separately. Varying sample fractions by stratum improves the efficiency of sample design and estimators for relatively small but important population subgroups.

      Sampling Statistics presents estimation techniques and sampling concepts to facilitate the application of model-based procedures to survey samples. The book begins with an introduction to standard probability sampling concepts, which provides the foundation for studying samples selected from a finite population. Stratified random sampling (usually referred to simply as stratified sampling) is a type of probability sampling that allows researchers to improve precision (reduce error) relative to simple random sampling .

      Stratified Sampling Using Cluster Analysis: A Sample Selection Strategy for Improved Generalizations From Experiments Show all authors. Elizabeth Tipton 1. Keywords cluster analysis, experimental design, external validity, model-based sampling, stratified sampling, treatment effect heterogeneity. References.   There is a need for better estimators of population size in places that have undergone rapid growth and where collection of census data is difficult. We explored simulated estimates of urban population based on survey data from Bo, Sierra Leone, using two approaches: (1) stratified sampling from across 20 neighborhoods and (2) stratified single-stage cluster sampling of only four randomly.


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Using a stochastic model in stratified sampling by Donald M. Roberts Download PDF EPUB FB2

Inthismodel,therecordedamount(Y.)isnotarandomvariable,butthe associatedaudited amoxint (X.) is a realization of randomvariable X, is generatedfromtherecordedamount Y, bymultipli. Usingthisallocationmethod,thequestionis whatstandard derivation to icewould beto use the stan- darddeviation of rchoicewould beto use the.

Stratified Sampling Using a Stochastic Model DONALD M. ROBERTS* 1. Introduction According to SAS No. 39, planning a statistical substantive test of details requires specifying a tolerable monetary error and an allowable risk of incorrect acceptance.

The tolerable error represents the maximum. texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection. National Emergency Library. Top American Libraries Canadian Libraries Universal Library Community Texts Project Gutenberg Biodiversity Heritage Library Children's Library.

Open : In stratified sampling, the population is partitioned into regions or strata, and a sample is selected by some design within each stratum. The design is called stratified random sampling if the design within each stratum is simple random sampling.

This chapter first explains estimation of the population total and population mean. In this paper, we study the problem of optimum allocation in two stage stratified sampling as a problem of stochastic optimization by using the modified E-model (Garcia et al.

) and the chance. An index tracking model with stratified sampling and optimal allocation: An index tracking model Article (PDF Available) in Applied Stochastic Models in Business and Industry 34(1) October Although developed for use within an MSO context, stratified filtered sampling, like these other techniques, applies to other simulation environments as well.

The SPE-generation process consists of two steps. In the first, we conduct a pilot study to estimate the performance distribution, and design the stratified sampling scheme. Chapter 4: Stratified Random Sampling The way in which was have selected sample units thus far has required us to know little about the population of interest in advance of selecting the sample.

This approach is ideal only if the characteristic of interest is distributed homogeneously across the population. If. In order to increase the precision of an estimator, we need to use a sampling scheme which can reduce the heterogeneity in the population.

If the population is heterogeneous with respect to the characteristic under study, then one such sampling procedure is a stratified sampling. The basic idea behind the stratified sampling is to. STRATIFIED RANDOM SAMPLING • A stratified sample is obtained by taking samples from each stratum or sub-group of a population.

• Suppose a farmer wishes to work out the average milk yield of each cow type in his herd which consists of Ayrshire, Friesian, Galloway and Jersey cows. • He could divide up his herd into the four sub-groups and. Stratified random sampling is a type of probability sampling using which researchers can divide the entire population into numerous non-overlapping, homogeneous strata.

Final members for research are randomly chosen from the various strata which leads to cost reduction and improved response efficiency. This sampling method is also called “random quota sampling". The correct way to sample a huge population.

When we perform a sample from a population, what we want to achieve is a smaller dataset that keeps the same statistical information of the population. The best way to produce a reasonably good sample is by taking population records uniformly, but this way of work is not fact, while it works pretty well on average, there’s still.

Praise for the Second Edition "This book has never had a competitor. It is the only book that takes a broad approach to sampling any good personal statistics library should include a copy of this book." —Technometrics "Well-written an excellent book on an important subject.

Highly recommended." —Choice "An ideal reference for scientific researchers and other professionals who Reviews: 2. Organized into six sections, the book covers basic sampling, from simple random to unequal probability sampling; the use of auxiliary data with ratio and regression estimation; sufficient data, model, and design in practical sampling; useful designs such as stratified, cluster and systematic, multistage, double and network sampling.

A real-world example of using stratified sampling would be for a political survey. If the respondents needed to reflect the diversity of the population, the researcher would specifically seek to include participants of various minority groups such as race or religion, based on their proportionality to the total population as mentioned above.

In a clear progressive format, the book examines basic sampling from simple random sampling to unequal probability sampling in Part 1.

The use of auxiliary data with ratio and regression estimation is discussed in Part 2 as well as the ideas of sufficient data and of model and design in practical sampling. Part 3 covers major useful designs. Abstract. Recent research has demonstrated that hidden Markov model (HMM) analysis is an effective tool to classify atmospheric observations of the stably stratified nocturnal boundary layer (SBL) into weakly stable (wSBL) and very stable (vSBL) regimes.

Here we consider the development of explicitly stochastic representations of SBL regime dynamics. The resulting stochastic differential equation describing the concentration field is solved using spectral representations.

The results of the analysis demonstrate that for large time the longitudinal dispersivity approaches a constant value which is dependent on statistical properties of the medium. Asymptotic normality of the optimal allocation in multivariate stratified random sampling.

Indian J. Statist. v48 iSeries B. Google Scholar; Prékopa, Prékopa, A., The use of stochastic programing for the solution of the some ploblems in statistics and probability.

Technical Summary Report #. Definition The procedure of partitioning the population into groups, called strata, and then drawing a sample independently from each stratum, is known as stratified sampling. Definition If the sample drawn from each stratum is random one, the procedure is then termed as stratified random sampling.

theorems. The first two theorems apply to stratified sampling in general and are not restricted to stratified random sampling; that is, the sample from any stratum need not be a simple random sample. 11aeorem S.l. If in every stratum the sample estimate y.

is unbiased, then Y~r is an unbiased estimate of the population mean Y. Proof. L E(y.,). With stratified sampling (and cluster sampling), you use a random sampling method With quota sampling, random sampling methods are not used (called "non probability" sampling).

As a very simple example, let's say you're using the sample group of people (yellow, red, and blue heads) for your quota sample.