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

See also

• Categorical distribution