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Statistics Tests

Calculate statistical tests, p-values, confidence intervals, correlations, regression models, and more - enter your data and get accurate results instantly. Everything runs in your browser; nothing is uploaded.

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Hypothesis Tests

Hypothesis Tests

One-Sample T-Test

Compare a sample mean to a hypothesized population mean.

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Hypothesis Tests

Independent Two-Sample T-Test

Compare the means of two independent groups (Welch's or pooled).

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Hypothesis Tests

Paired Samples T-Test

Compare two matched/repeated measurements from the same subjects.

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Hypothesis Tests

One-Sample Z-Test

Test a sample mean against a population mean with a known σ.

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Hypothesis Tests

Two-Proportion Z-Test

Compare two independent sample proportions.

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Hypothesis Tests

Chi-Square Test of Independence

Test whether two categorical variables are associated, using a contingency table.

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Hypothesis Tests

Chi-Square Goodness-of-Fit Test

Test whether observed category counts match an expected distribution.

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Hypothesis Tests

F-Test for Two Variances

Test whether two population variances are equal.

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Hypothesis Tests

One-Proportion Z-Test

Test a sample proportion against a hypothesized population proportion.

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Hypothesis Tests

Chi-Square Test for a Variance

Test a single population variance (or SD) against a hypothesized value.

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Hypothesis Tests

McNemar's Test

Test for a change in paired/matched categorical data (e.g. before vs after).

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Hypothesis Tests

Mann-Whitney U Test

Nonparametric alternative to the independent two-sample t-test.

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Hypothesis Tests

Wilcoxon Signed-Rank Test

Nonparametric alternative to the paired t-test.

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Hypothesis Tests

Degrees of Freedom Calculator

df for t-tests, chi-square tests, and one-way ANOVA.

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Hypothesis Tests

Test Statistic Calculator

Quick z or t statistic from a sample statistic, hypothesized value, and standard error.

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Descriptive Statistics

Descriptive Statistics

Descriptive Statistics

Mean, median, mode, spread, quartiles, skewness, kurtosis, and more.

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Descriptive Statistics

Geometric Mean Calculator

The nth root of the product of n positive values.

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Descriptive Statistics

Harmonic Mean Calculator

n divided by the sum of the reciprocals of the values.

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Descriptive Statistics

Mean Absolute Deviation Calculator

Average absolute distance of each value from the mean.

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Descriptive Statistics

Midrange Calculator

The midpoint between the minimum and maximum of a dataset.

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Descriptive Statistics

Chebyshev's Theorem Calculator

Minimum share of any dataset within k standard deviations of the mean.

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Descriptive Statistics

Class Width Calculator

Class width for a grouped frequency distribution given a range and number of classes.

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Descriptive Statistics

Point Estimate Calculator

Point estimate of a population mean (x̄) or proportion (p̂).

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Descriptive Statistics

Percentile Calculator

Find any percentile, decile, or quartile of a dataset.

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Descriptive Statistics

Percentile Rank Calculator

Find what percentile a given value falls at within a dataset.

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Descriptive Statistics

RSD Calculator

Relative standard deviation - SD expressed as a percentage of the mean.

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Descriptive Statistics

Sum of Squares Calculator

Σ(x − x̄)² for a dataset.

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Descriptive Statistics

Pooled Variance Calculator

Combined variance estimate from two independent samples.

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Correlation

Correlation

Pearson Correlation

Measure the strength of a linear relationship between two variables.

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Correlation

Spearman Rank Correlation

Measure a monotonic relationship - robust to outliers and ties.

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Regression

Regression

Simple Linear Regression

Fit ŷ = a + bx and test whether x predicts y.

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Regression

Multiple Linear Regression

Fit a model with several predictors and inspect each coefficient.

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Regression

Outlier Calculator

Flag outliers using the 1.5×IQR rule.

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Regression

Quadratic Regression Calculator

Fit ŷ = a + bx + cx² by least squares.

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Regression

Coefficient of Determination Calculator

Standalone R² for a linear fit between two variables.

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Regression

Prediction Interval Calculator

Interval for a new observation at a given x, from a simple linear regression.

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Regression

Covariance Calculator

Sample or population covariance between two variables.

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Regression

SSE Calculator

Sum of squared errors between actual and predicted values.

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Regression

Residual Calculator

Individual residuals (actual − predicted) for a set of paired values.

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ANOVA

ANOVA

One-Way ANOVA

Compare the means of three or more independent groups.

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ANOVA

Two-Way ANOVA

Test two factors and their interaction (balanced design).

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ANOVA

Kruskal-Wallis Test

Nonparametric alternative to one-way ANOVA across 3+ groups.

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Probability & Distributions

Probability & Distributions

P-Value Calculator

Find the p-value for a z, t, chi-square, or F statistic.

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Probability & Distributions

Normal Distribution Calculator

z-scores, probabilities, percentiles, and the curve itself.

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Probability & Distributions

Binomial Probability Calculator

Exact P(X=k), P(X≤k), P(X≥k) for a binomial distribution.

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Probability & Distributions

Poisson Probability Calculator

Exact P(X=k), P(X≤k), P(X≥k) for a Poisson distribution.

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Probability & Distributions

Probability Calculator

P(A and B), P(A or B), and conditional probabilities for two events.

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Probability & Distributions

Hypergeometric Calculator

Probability of k successes when sampling without replacement from a finite population.

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Probability & Distributions

Empirical Probability Calculator

Observed favorable outcomes over total trials - also called relative frequency.

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Probability & Distributions

Expected Value Calculator

E(X) for a discrete random variable given its values and probabilities.

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Probability & Distributions

Sampling Distribution Calculator

Mean and standard error of the sampling distribution of x̄ (Central Limit Theorem).

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Probability & Distributions

Standard Error Calculator

Standard error of a sample mean or a sample proportion.

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Probability & Distributions

Critical Value Calculator

z*, t*, χ²*, or F* critical values for a given α and degrees of freedom.

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Probability & Distributions

Raw Score Calculator

Convert between a z-score and a raw score for a given mean and SD.

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Confidence Intervals

Confidence Intervals

Confidence Interval Calculator

CI for a mean, a proportion, or the difference between two of either.

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Effect Size

Effect Size

Effect Size Calculator

Cohen's d, Hedges' g, r, eta squared, partial eta squared, or Cramer's V.

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Sample Size

Sample Size

Sample Size / Power Calculator

Find the sample size you need for a target power and effect size.

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Combinatorics

Combinatorics

Permutation Calculator

Count the ways to arrange r of n items when order matters: P(n, r).

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Combinatorics

Combination Calculator

Count the ways to choose r of n items when order doesn't matter: C(n, r), also called the binomial coefficient.

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Applied Statistics

Applied Statistics

Shannon Diversity Index Calculator

Diversity and evenness across categories from their counts.

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Applied Statistics

Accuracy Calculator

Accuracy, precision, recall, and F1 from a confusion matrix.

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Applied Statistics

Relative Risk Calculator

Risk ratio between an exposed and an unexposed group from a 2×2 table.

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Applied Statistics

Error Propagation Calculator

Propagate measurement uncertainty through addition, subtraction, multiplication, or division.

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Applied Statistics

PERT Calculator

Expected duration and SD from optimistic, most likely, and pessimistic estimates.

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Plots & Visualization

Plots & Visualization

Empirical Rule Calculator

68-95-99.7% ranges for a normal distribution, with the curve plotted.

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Plots & Visualization

Stem and Leaf Plot Calculator

Build a stem-and-leaf display from a dataset.

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Plots & Visualization

Box Plot Calculator

Five-number summary with a rendered box-and-whisker plot.

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Plots & Visualization

Scatter Plot Maker

Plot paired data with an optional least-squares trend line.

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Plots & Visualization

Residual Plot Calculator

Plot regression residuals against x to check the fit.

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Plots & Visualization

Pie Chart Calculator

Turn category counts into a pie chart with percentage shares.

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