Upton G.J.G. Categorical data analysis by example

Hoboken: John Wiley & Sons, 2015. - 217 p.What are Categorical Data?
A Typical Data Set
Visualization and Cross-Tabulation
Samples, Populations, and Random Variation
Proportion, Probability, and Conditional Probability
Probability Distributions
The Binomial Distribution
The Multinomial Distribution
The Poisson Distribution
The Normal Distribution
The Chi-Squared () Distribution
The Likelihood
Estimation and Inference for Categorical Data
Goodness of Fit Pearson's X Goodness-of-Fit Statistic The Link between X and the Poisson and -Distributions
The Likelihood-Ratio Goodness-of-Fit Statistic, G
Why the G and X Statistics Usually have Similar Values
Hypothesis Tests for a Binomial Proportion (Large Sample)
The Normal Score Test
Link to Pearson's X Goodness-of-Fit Test
G for a Binomial Proportion
Hypothesis Tests for a Binomial Proportion (Small Sample)
One-Tailed Hypothesis Test
Two-Tailed Hypothesis Tests
Interval Estimates for a Binomial Proportion Laplace's Method Wilson's Method
The Agresti-Coull Method
Small Samples and Exact CalculationsThe x Contingency TableFisher's Exact Test (for Independence)
Derivation of the Exact Test Formula
Testing Independence with Large Cell Frequencies
Using Pearson's Goodness-of-Fit Test
The Yates Correction
The x Table in a Medical Context
Measuring Lack of Independence (Comparing Proportions)
Difference of Proportions
Relative Risk
Odds-Ratio
References The I x J Contingency Table Notation
Independence in the I x J Contingency Table
Estimation and Degrees of Freedom
Odds-Ratios and Independence
Goodness of Fit and Lack of Fit of the Independence Model
Partitioning
Additivity of G
Rules for Partitioning
Graphical Displays
Mosaic Plots
Cobweb Diagrams
Testing Independence with Ordinal VariablesThe Exponential FamilyThe Exponential Family
The Exponential Dispersion Family
Components of a General Linear Model EstimationReferences
A Model Taxonomy
Underlying Questions
Which Variables are of Interest?
What Categories should be Used?
What is the Type of Each Variable?
What is the Nature of Each Variable?
Identifying the Type of Model
The x J Contingency Table
A Problem with X (and G)
Using the Logit
Estimation of the Logit
The Null Model
Individual Data and Grouped Data
Precision, Confidence Intervals, and Prediction Intervals
Prediction Intervals