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Statistical Models for Proportions and Probabilities

Part of the SpringerBriefs in Statistics Book Series

DOI: 10.1007/978-3-642-39041-8

ISBN: 978-3-642-39040-1

Publisher: Springer Berlin Heidelberg - Springer Journals

Jul 31, 2013

Available

Single Proportion

Seber, George A. F.

Pages: 1 –8

[This chapter focusses on the problem of estimating a population proportion using random sampling with or without replacement, or inverse sampling. Exact and approximate confidence intervals are discussed using the Hypergeometric distribution. Applications to capture-recapture models are given.]
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Single Probability

Seber, George A. F.

Pages: 9 –17

[The Binomial distribution and its properties are discussed in detail including maximum likelihood estimation of the probability p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}...
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Several Proportions or Probabilities

Seber, George A. F.

Pages: 19 –40

[We discuss the Multi-hypergeometric and Multinomial distributions and their properties with the focus on exact and large sample inference for comparing two proportions or probabilities from the same or different populations. Relative risks and odds ratios are also considered. Maximum likelihood...
Available

Multivariate Hypothesis Tests

Seber, George A. F.

Pages: 41 –57

[We establish the asymptotic equivalence of several test procedures for testing hypotheses about the Multinomial distribution, namely the Likehood-ratio, Wald, Score, and Pearson’s goodness-of-fit tests. Particular emphasis is given to contingency tables, especially \documentclass[12pt]{minimal}...
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Logarithmic Models

Seber, George A. F.

Pages: 59 –69

[In this chapter we consider log-linear and logistic models for handling contingency tables, multinomial distributions, and binomial data. The role of the deviance in hypothesis testing is discussed. The log-linear model is applied to an epidemiological problem involving the merging of incomplete...

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