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Exact statistics

Exact logistic regression

  • Bernoulli (0 or 1) or binomial (number of successes in n trials) dependent variable
  • Exact joint hypothesis tests
  • Predictions
  • Confidence intervals

Exact Poisson regression

  • Count data
  • Exact confidence intervals for incidence-rate ratios

Exact epidemiologic statistics

  • Case–control studies
  • Cohort studies
  • Incidence-rate ratios and differences
  • Matched case–control studies
  • Indirect standardization

Other exact statistics

  • Binomial probability tests
  • Binomial or Poisson confidence intervals for means and count
  • Binomial confidence interval for centiles
  • Two-sample Kolmogorov–Smirnov test
  • Large one-way analysis of variance
  • Equality-of-medians test
  • Binomial confidence interval for ROC area
  • Symmetry and marginal homogeneity tests
  • Two-way tables with Fisher’s exact test
  • Tetrachoric correlations
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