10 Services from math-stats.x402tookit.com

Performs primality testing and prime factorization of integers up to 10^19, returning factors, divisor count, divisor sum, Euler totient, and number type classification.

Computes descriptive statistics for a list of numbers: mean, median, mode, spread, quartiles, outliers, skewness, and kurtosis.

Calculates the required sample size for a survey (given margin of error) or an A/B test (given baseline conversion rate, target lift, and statistical power).

Computes exact combinatorial counts—factorial, combinations, permutations, repetition variants, derangements, and Catalan numbers—as arbitrary-precision big integers.

Computes greatest common divisor, least common multiple, Bézout coefficients, and modular inverse for a list of 2–20 integers of arbitrary size.

Computes Pearson and Spearman correlations with p-values, fits a least-squares regression line, returns R-squared, and optionally predicts a y-value for a given x.

Performs a Welch two-sample or one-sample t-test, returning t statistic, degrees of freedom, p-value, confidence interval, and Cohen's d effect size.

Computes probability density/mass, cumulative probability, survival probability, and quantiles for normal, binomial, Poisson, and Student t distributions.

Computes confidence intervals for a mean (t-interval from a data list) or a proportion (Wilson and Wald methods from successes and trials count).

Computes conversion rates, relative lift, two-proportion z-test p-value, confidence interval, and a significance verdict for an A/B experiment.