Basic statistics


Summaries

  • arithmetic, geometric, and harmonic means, and corresponding confidence intervals
  • medians and percentiles
  • measurement of central tendency
  • skewness and kurtosis
  • confidence intervals
    • exact binomial (Clopper–Pearson)
    • Wald
    • Wilson
    • Jeffreys
    • Agresti
    • exact Poisson
  • ratios, proportions, and totals
    • confidence intervals
    • standard errors
    • over groups
    • robust and cluster–robust SEs
    • intragroup tests

Tables and tabulations

  • 1-, 2-, n-way
  • Pearson chi-squared
  • likelihood-ratio chi-squared
  • Cramer's V
  • Fisher's exact (2 x 2 and r x c)
  • Goodman and Kruskal's gamma
  • Kendall's tau
  • cell statistics
    • expected count
    • contribution to Pearson chi-squared
    • contribution to likelihood-ratio chi-squared

Noninteger confidence intervals

 

Parametric tests

  • t test (one and two sample)
  • binomial (one-sample) test
  • test of proportions (two sample)
  • Bartlett's test
  • chi-squared (one-sample) variance test
  • variance ratio (two-sample) F test

Correlations

  • Pearson simple and partial
  • Spearman's rank order
  • Kendall's rank order
  • intracluster
  • Cronbach's alpha
  • tetrachoric
  • canonical (multivariate) correlations

Tables of summary statistics

  • over groups and/or variables
  • statistics may include mean, count, sum, min, max, range, standard deviation, variance, variation coefficient, standard error of mean, skewness, kurtosis, median, percentiles, and interquartile range

Creation of datasets of summary statistics

  • statistics by group or subgroup of observations
  • statistics: mean, standard deviation, count, min, max, median, percentiles, and interquartile range

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