Statistics & Data Science Calculators

Bayes theorem, conditional probability, and data science metrics. Enter your probabilities — see the result with Bayes rule applied step by step. Free.

Calculate conditional probability P(A|B). Enter P(A∩B) and P(B) — see P(A|B) with Bayes' theorem and tree diagram. Free.

Calculate joint probability for independent and dependent events. Enter individual probabilities — see P(A∩B) with independence check. Free.

Calculate expected value E(X) for any probability distribution. Enter outcomes and probabilities — see E(X), variance, and standard deviation. Free.

Find the moment generating function M(t) of a distribution. Enter your PDF — see M(t), mean, and variance from derivatives. Free.

Professional exponential dist and analysis. See formula, step-by-step solution and all rearrangements. Instant math solver.

Calculate probabilities for a uniform distribution. Enter a and b — see P(X<x), mean = (a+b)/2, variance, and density function. Free.

Calculate Gamma distribution probabilities. Enter shape α and rate β — see PDF, CDF, mean, and variance with plot. Free.

Calculate Weibull distribution probabilities and reliability. Enter shape k and scale λ — see PDF, CDF, mean, and hazard function. Free.

Professional log normal dist and analysis. See formula, step-by-step solution and all rearrangements. Instant math solver.

Calculate hypergeometric distribution probabilities. Enter population N, successes K, and draws n — see P(X=k) and mean. Free.

Professional negative binomial and analysis. Step-by-step solution with formula, example dataset and interpretation guide.

Run a Kolmogorov-Smirnov test for distribution fit. Enter your dataset — see the KS statistic, p-value, and normality decision. Free.

Run an Anderson-Darling normality test. Enter your dataset — see the A² statistic, critical values, and distribution decision. Free.

Run a Shapiro-Wilk normality test. Enter your dataset (up to 50 values) — see W statistic, p-value, and normality interpretation. Free.

Run a Kruskal-Wallis test for comparing three or more groups. Enter your groups — see H statistic, p-value, and post-hoc ranks. Free.

Run a Friedman test for repeated-measures non-parametric data. Enter your blocks and treatments — see χ² statistic and p-value. Free.

Run a Wilcoxon signed-rank test for paired non-parametric data. Enter paired values — see W statistic, p-value, and conclusion. Free.

Calculate bootstrap confidence intervals by resampling. Enter your dataset and iterations — see the CI with percentile and BCa methods. Free.

Generate a Kaplan-Meier survival curve. Enter event times and censoring status — see survival probabilities at each time point. Free.

Calculate hazard ratio between two survival groups. Enter event counts and person-time — see HR, 95% CI, and log-rank p-value. Free.

Calculate ROC curve area (AUC) for diagnostic tests. Enter sensitivity and specificity pairs — see AUC with 95% CI and interpretation. Free.

Professional confusion matrix and analysis. See formula, step-by-step solution and all rearrangements. Instant math solver.

Professional entropy calc stats and analysis. Formula, worked example and unit conversions included. Instant thermodynamics solver.

Calculate mutual information between two variables. Enter joint probability table — see I(X;Y) in bits and feature dependency strength. Free.

Calculate PCA explained variance from eigenvalues. Enter your eigenvalues — see the proportion of variance explained by each component. Free.

Calculate silhouette score to evaluate clustering quality. Enter cluster assignments and distances — see cohesion, separation, and score. Free.

Calculate cross-validation error for model evaluation. Enter fold errors — see mean CV error, standard error, and model comparison. Free.

Calculate sampling error from sample size and population. Enter n, N, and p — see margin of error and confidence interval. Free.

Calculate Cohen's d, f, or eta-squared effect size. Enter means and standard deviations — see effect size with benchmarks. Free.