databutler-stats

Tools

Token cost is the o200k count of the tools list JSON, including schemas, before any tool is called.

• descriptive_stats

  Summary statistics for a numeric array: mean, median, sd, variance, quartiles, IQR, skewness, min/max.

• distribution

  Evaluate a probability distribution (normal, t, chi2, binomial, poisson): pdf/pmf and cdf at a value, and/or the quantile at a probability, plus mean & variance. Params per dist: normal {mean,sd}, t {

• hypothesis_test

  Run a significance test and get the statistic, p-value, and a plain-language interpretation with assumptions. test = one-sample-t {data, mu0}, two-sample-t {data1, data2}, one-proportion-z {successes,

• confidence_interval

  Confidence interval for a mean (t-based; from data, or n/mean/sd) or a proportion (Wilson; successes/n). kind = mean | proportion; confidence default 0.95.

• bayes_update

  Discrete Bayesian update: given competing hypotheses each with a prior and the likelihood of the observed evidence, return normalised posteriors. Priors are renormalised to sum to 1.

• linear_regression

  Simple linear regression of y on x: slope, intercept, r, r², slope std error and p-value, equation.