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Statistics

Statistics Calculators & Research Tools

Analyze data with 31 focused statistics and research tools. Supported calculations run locally in your browser and report effect sizes, confidence intervals and interpretation cues where appropriate.

32 Statistics & Research Tools

Analyze samples, confidence intervals, hypothesis tests, effect sizes, regression, distributions and research plots locally in your browser.

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Randomness Lab – Dice, Coin & Random Integer

Run visual probability experiments with up to 20 dice, up to 20 coin flips with outcome percentages, or a random integer between two bounds. Results are generated locally in your browser.

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I need to generate Venn Diagram

Build a 2-set or 3-set Venn diagram from item lists and calculate unique regions, intersections and union size.

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I need to create Scatter Plot + Regression

Create a scatter plot with least-squares regression line and report equation, r, r² and p-value.

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I need to create Box Plot

Create a box-and-whisker plot with five-number summary, IQR fences and detected outliers.

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I need to create Histogram

Create a responsive histogram from numeric data using Sturges, square-root, Freedman–Diaconis or a custom bin count.

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I need to calculate Poisson Distribution

Calculate exact, cumulative and upper-tail Poisson probabilities from an expected event rate lambda.

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I need to calculate Binomial Distribution

Calculate exact, cumulative and upper-tail binomial probabilities plus mean and standard deviation.

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I need to calculate Normal Distribution

Calculate normal-distribution probabilities between bounds, lower/upper tails and standardized z values.

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I need to calculate Linear Regression

Fit a simple least-squares linear regression and report slope, intercept, r, r², slope CI, standard error and p-value.

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I need to calculate Spearman Correlation

Calculate Spearman rank correlation (rho) and an approximate significance test from paired observations.

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I need to calculate Pearson Correlation

Calculate Pearson’s r, r², covariance, t statistic and two-sided p-value from paired X/Y data.

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I need to calculate Kruskal–Wallis Test

Compare three or more independent groups with the Kruskal–Wallis test and report epsilon-squared effect size.

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I need to calculate Wilcoxon Signed-Rank

Compare paired observations with the Wilcoxon signed-rank test and report rank sums, z approximation and effect size r.

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I need to calculate Mann–Whitney U Test

Compare two independent groups with the Mann–Whitney U test using ranked observations and a tie-corrected normal approximation.

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I need to calculate Fisher’s Exact Test

Run a two-sided Fisher’s exact test for a 2×2 table with odds ratio and an approximate 95% odds-ratio interval.

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I need to calculate Chi-Square Test

Run a chi-square test of independence from a contingency table and report expected counts and Cramér’s V.

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I need to calculate Two-Way ANOVA

Run a balanced two-way ANOVA with replication and report main effects, interaction, p-values and partial eta squared.

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I need to calculate One-Way ANOVA

Run one-way ANOVA for two or more groups and report F, p-value, eta squared and omega squared.

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I need to calculate Paired T-Test

Run a paired t-test on matched observations with paired mean difference, confidence interval and standardized effect size.

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I need to calculate Independent / Welch’s T-Test

Compare two independent groups with Welch’s t-test by default or the pooled-variance t-test, reporting CI and effect sizes.

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I need to calculate One-Sample T-Test

Run a two-sided one-sample t-test with mean difference, 95% confidence interval and Cohen’s d.

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I need to calculate P-Value

Calculate p-values from z, t, chi-square or F statistics with appropriate tail choices.

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I need to calculate Statistical Power

Estimate one-sample or two-sample power from standardized effect size, sample size and alpha using a transparent normal approximation.

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I need to calculate Sample Size

Estimate minimum sample size for a proportion or mean from confidence level, margin of error and expected variability.

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I need to calculate Margin of Error

Calculate margin of error for a mean or proportion at a chosen confidence level.

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I need to calculate Confidence Interval

Calculate a t-based confidence interval for a sample mean or a Wilson confidence interval for a proportion.

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I need to calculate Outlier

Find possible outliers with the Tukey 1.5×IQR rule and report quartiles and lower/upper fences.

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I need to calculate Percentile / Quartile / IQR

Calculate a requested percentile together with Q1, median, Q3 and interquartile range from sample data.

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I need to calculate Z-Score

Calculate a z-score from a value, mean and standard deviation and view cumulative and upper-tail normal probabilities.

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I need to calculate Standard Deviation & Variance

Calculate sample or population variance and standard deviation, plus mean and coefficient of variation.

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I need to calculate Mean / Median / Mode

Calculate arithmetic mean, median and mode from a list of numbers, with count and range.

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I need to calculate Descriptive Statistics

Calculate count, mean, median, mode, quartiles, variance, standard deviation, standard error, CV, skewness and kurtosis from a numeric sample.

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Frequently asked questions

Which statistical tests and calculators are included?

The collection includes descriptive statistics, confidence intervals, sample size and power, t-tests, ANOVA, chi-square and Fisher tests, nonparametric tests, correlation, regression, probability distributions and research plots.

Do these tools upload my dataset?

No. The statistics tools in this collection process entered values locally with JavaScript in your browser.

Can a p-value alone determine scientific importance?

No. Interpret p-values with effect sizes, uncertainty, study design, assumptions, multiplicity and subject-matter context.

About this tool

Free statistics calculators for descriptive statistics, confidence intervals, sample size, statistical power, p-values, t-tests, ANOVA, chi-square, nonparametric tests, correlation, regression and research plots.

Statistical output is a calculation and interpretation aid. Check study design, assumptions, sampling, multiplicity, missing-data handling and domain-specific reporting standards before drawing scientific conclusions.