Categorical Data Analysis by Example

Detalles Bibliográficos
Autor principal: Upton, Graham J. G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2016.
Colección:New York Academy of Sciences Ser.
Temas:
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • CATEGORICAL DATA ANALYSIS BY EXAMPLE
  • Contents
  • Preface
  • Acknowledgments
  • 1 Introduction
  • 1.1 What are Categorical Data?
  • 1.2 A Typical Data Set
  • 1.3 Visualization and Cross-Tabulation
  • 1.4 Samples, Populations, and Random Variation
  • 1.5 Proportion, Probability, and Conditional Probability
  • 1.6 Probability Distributions
  • 1.6.1 The Binomial Distribution
  • 1.6.2 The Multinomial Distribution
  • 1.6.3 The Poisson Distribution
  • 1.6.4 The Normal Distribution
  • 1.6.5 The Chi-Squared ( 2) Distribution
  • 1.7 *The Likelihood
  • 2 Estimation and Inference for Categorical Data
  • 2.1 Goodness of Fit
  • 2.1.1 Pearson's X2 Goodness-of-Fit Statistic
  • 2.1.2 *The Link between X2 and the Poisson and 2-Distributions
  • 2.1.3 The Likelihood-Ratio Goodness-of-Fit Statistic, G2
  • 2.1.4 *Why the G2 and X2 Statistics Usually have Similar Values
  • 2.2 Hypothesis Tests for a Binomial Proportion (Large Sample)
  • 2.2.1 The Normal Score Test
  • 2.2.2 *Link to Pearson's X2 Goodness-of-Fit Test
  • 2.2.3 G2 for a Binomial Proportion
  • 2.3 Hypothesis Tests for a Binomial Proportion (Small Sample)
  • 2.3.1 One-Tailed Hypothesis Test
  • 2.3.2 Two-Tailed Hypothesis Tests
  • 2.4 Interval Estimates for a Binomial Proportion
  • 2.4.1 Laplace's Method
  • 2.4.2 Wilson's Method
  • 2.4.3 The Agresti-Coull Method
  • 2.4.4 Small Samples and Exact Calculations
  • References
  • 3 The 2 × 2 Contingency Table
  • 3.1 Introduction
  • 3.2 Fisher's Exact Test (for Independence)
  • 3.2.1 *Derivation of the Exact Test Formula
  • 3.3 Testing Independence with Large Cell Frequencies
  • 3.3.1 Using Pearson's Goodness-of-Fit Test
  • 3.3.2 The Yates Correction
  • 3.4 The 2 × 2 Table in a Medical Context
  • 3.5 Measuring Lack of Independence (Comparing Proportions)
  • 3.5.1 Difference of Proportions
  • 3.5.2 Relative Risk
  • 3.5.3 Odds-Ratio
  • References
  • 4 The I × J Contingency Table
  • 4.1 Notation
  • 4.2 Independence in the I × J Contingency Table
  • 4.2.1 Estimation and Degrees of Freedom
  • 4.2.2 Odds-Ratios and Independence
  • 4.2.3 Goodness of Fit and Lack of Fit of the Independence Model
  • 4.3 Partitioning
  • 4.3.1 *Additivity of G2
  • 4.3.2 Rules for Partitioning
  • 4.4 Graphical Displays
  • 4.4.1 Mosaic Plots
  • 4.4.2 Cobweb Diagrams
  • 4.5 Testing Independence with Ordinal Variables

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