List of analyses of categorical data explained

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