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Exact statistics & probability: distributions, hypothesis tests, CIs, Bayesian updates, regression.

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Tool Definition Quality

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Available Tools

6 tools
bayes_updateInspect

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.

ParametersJSON Schema
NameRequiredDescriptionDefault
hypothesesYes
confidence_intervalInspect

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.

ParametersJSON Schema
NameRequiredDescriptionDefault
nNo
sdNo
dataNo
kindNo
meanNo
successesNo
confidenceNo
descriptive_statsInspect

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

ParametersJSON Schema
NameRequiredDescriptionDefault
dataYes
distributionInspect

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 {df}, chi2 {df}, binomial {n,p}, poisson {lambda}.

ParametersJSON Schema
NameRequiredDescriptionDefault
pNoprobability to get the quantile for (0-1)
atNovalue to evaluate pdf/pmf and cdf at
distYes
paramsNo
hypothesis_testInspect

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, n, p0}, two-proportion-z {successes1,n1,successes2,n2}, chi2-gof {observed, expected?}, chi2-independence {table}. Optional tail: two-sided (default) | greater | less; alpha default 0.05.

ParametersJSON Schema
NameRequiredDescriptionDefault
nNo
n1No
n2No
p0No
mu0No
dataNo
tailNo
testYes
alphaNo
data1No
data2No
tableNo
expectedNo
observedNo
successesNo
successes1No
successes2No
linear_regressionInspect

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

ParametersJSON Schema
NameRequiredDescriptionDefault
xYes
yYes

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