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Exact Confidence Bounds when Sampling from Small Finite Universes

An Easy Reference Based on the Hypergeometric Distribution

  • Textbook
  • © 1991

Overview

Authors:
  1. Tommy Wright

    1. Mathematical Sciences Section, Oak Ridge National Laboratory, Oak Ridge, USA

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Part of the book series: Lecture Notes in Statistics (LNS, volume 66)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XVII
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  2. Introduction

    • Tommy Wright
    Pages 1-3

  3. The Applications

    • Tommy Wright
    Pages 4-25

  4. The Development and Theory

    • Tommy Wright
    Pages 26-57

  5. The Table of Lower and Upper Confidence Bounds

    • Tommy Wright
    Pages 58-426

  6. Back Matter

    Pages 427-433
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Keywords

About this book

There is a very simple and fundamental concept· to much of probability and statistics that can be conveyed using the following problem. PROBLEM. Assume a finite set (universe) of N units where A of the units have a particular attribute. The value of N is known while the value of A is unknown. If a proper subset (sample) of size n is selected randomly and a of the units in the subset are observed to have the particular attribute, what can be said about the unknown value of A? The problem is not new and almost anyone can describe several situations where a particular problem could be presented in this setting. Some recent references with different focuses include Cochran (1977); Williams (1978); Hajek (1981); Stuart (1984); Cassel, Samdal, and Wretman (1977); and Johnson and Kotz (1977). We focus on confidence interval estimation of A. Several methods for exact confidence interval estimation of A exist (Buonaccorsi, 1987, and Peskun, 1990), and this volume presents the theory and an extensive Table for one of them. One of the important contributions in Neyman (1934) is a discussion of the meaning of confidence interval estimation and its relationship with hypothesis testing which we will call the Neyman Approach. In Chapter 3 and following Neyman's Approach for simple random sampling (without replacement), we present an elementary development of exact confidence interval estimation of A as a response to the specific problem cited above.

Authors and Affiliations

  • Mathematical Sciences Section, Oak Ridge National Laboratory, Oak Ridge, USA

    Tommy Wright

Bibliographic Information

  • Book Title: Exact Confidence Bounds when Sampling from Small Finite Universes

  • Book Subtitle: An Easy Reference Based on the Hypergeometric Distribution

  • Authors: Tommy Wright

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-3140-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Softcover ISBN: 978-0-387-97515-3Published: 17 July 1991

  • eBook ISBN: 978-1-4612-3140-0Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: XVI, 431

  • Topics: Applications of Mathematics

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