List of analyses of categorical data

This is a list of statistical procedures which can be used for the analysis of categorical data, also known as data on the nominal scale and as categorical variables.

General tests

 * Bowker's test of symmetry
 * Categorical distribution, general model
 * Chi-squared test
 * Cochran–Armitage test for trend
 * Cochran–Mantel–Haenszel statistics
 * Correspondence analysis
 * Cronbach's alpha
 * Diagnostic odds ratio
 * G-test
 * Generalized estimating equations
 * Generalized linear models
 * Krichevsky–Trofimov estimator
 * Kuder–Richardson Formula 20
 * Linear discriminant analysis
 * Multinomial distribution
 * Multinomial logit
 * Multinomial probit
 * Multiple correspondence analysis
 * Odds ratio
 * Poisson regression
 * Powered partial least squares discriminant analysis
 * Qualitative variation
 * Randomization test for goodness of fit
 * Relative risk
 * Stratified analysis
 * Tetrachoric correlation
 * Uncertainty coefficient
 * Wald test

Binomial data

 * Bernstein inequalities (probability theory)
 * Binomial regression
 * Binomial proportion confidence interval
 * Chebyshev's inequality
 * Chernoff bound
 * Gauss's inequality
 * Markov's inequality
 * Rule of succession
 * Rule of three (medicine)
 * Vysochanskiï–Petunin inequality

2 × 2 tables

 * Chi-squared test
 * Diagnostic odds ratio
 * Fisher's exact test
 * G-test
 * Odds ratio
 * Relative risk
 * McNemar's test
 * Yates's correction for continuity

Measures of association

 * Aickin's α
 * Andres and Marzo's delta
 * Bangdiwala's B
 * Bennett, Alpert, and Goldstein’s S
 * Brennan and Prediger’s κ
 * Coefficient of colligation - Yule's Y
 * Coefficient of consistency
 * Coefficient of raw agreement
 * Conger's Kappa
 * Contingency coefficient – Pearson's C
 * Cramér's V
 * Dice's coefficient
 * Fleiss' kappa
 * Goodman and Kruskal's lambda
 * Guilford’s G
 * Gwet's AC1
 * Hanssen–Kuipers discriminant
 * Heidke skill score
 * Jaccard index
 * Janson and Vegelius' C
 * Kappa statistics
 * Klecka's tau
 * Krippendorff's Alpha
 * Kuipers performance index
 * Matthews correlation coefficient
 * Phi coefficient
 * Press' Q
 * Renkonen similarity index
 * Prevalence adjusted bias adjusted kappa
 * Sakoda's adjusted Pearson's C
 * Scott's Pi
 * Sørensen similarity index
 * Stouffer's Z
 * True skill statistic
 * Tschuprow's T
 * Tversky index
 * Von Eye's kappa

Categorical manifest variables as latent variable

 * Latent variable model
 * Item response theory
 * Rasch model
 * Latent class analysis