Statistics & Data Analysis Tools

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Shapiro-Wilk Sample Normality Test Calculator

Evaluate whether continuous sample observations originate from a normal Gaussian distribution using the Shapiro-Wilk test statistic.

Z-Scores, T-Tests & Confidence Intervals Processed in your browser

Bayes' Theorem Conditional Probability Calculator

Compute updated posterior probability P(A|B) from prior probability P(A), sensitivity/likelihood P(B|A), and false positive rates.

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Kruskal-Wallis H Test Non-Parametric ANOVA Calculator

Test for statistically significant differences across three or more independent groups using the non-parametric Kruskal-Wallis H test.

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Mann-Whitney U Test Non-Parametric Calculator

Perform the non-parametric Mann-Whitney U test (Wilcoxon rank-sum) for comparing two independent sample distributions.

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One-Way ANOVA (F-Statistic) Analysis of Variance Calculator

Compute Between-Group and Within-Group sum of squares, Mean Squares, and the F-ratio statistic for three treatment groups.

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Geometric & Harmonic Mean Calculator

Calculate Geometric Mean, Harmonic Mean, Arithmetic Mean, and Root Mean Square (RMS) with comparison ratios and application insights.

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Moving Average (SMA & EMA) Time Series Smoother

Calculate Simple Moving Average (SMA) and Exponential Moving Average (EMA) arrays for time-series datasets with customizable lookback windows.

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Z-Score & Standard Normal Score Calculator

Calculate standard normal distribution Z-scores, cumulative probabilities P(Z ≤ z), two-tailed p-values, and percentile rankings.

Mean, Median, Mode & Standard Deviation Processed in your browser

CSV Dataset Column Profiler & Type Inferrer

Inspect CSV and TSV spreadsheets in-browser to determine column data types, completeness percentages, null counts, and distinct value cardinality.

Mean, Median, Mode & Standard Deviation Processed in your browser

Five-Number Summary & Box Plot Calculator

Calculate Minimum, Q1, Median, Q3, Maximum, and IQR with Tukey outlier detection and SVG box-and-whisker visualization.

Mean, Median, Mode & Standard Deviation Processed in your browser

Min-Max Feature Scaler & Normalizer

Normalize numeric arrays to [0, 1] or custom [a, b] ranges for data science, machine learning models, and distance metrics.

Normal Bell Curve & Probability Processed in your browser

Frequency Distribution Table Generator

Group continuous or discrete numerical raw data into frequency bins with relative frequencies, percentages, and cumulative distributions.

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Poisson Distribution Probability Calculator

Calculate exact Poisson probabilities P(X = k), cumulative P(X ≤ k), and exceedance rates for rare events and arrival rates.

Z-Scores, T-Tests & Confidence Intervals Processed in your browser

Survey Margin of Error & Sample Size Calculator

Calculate survey margin of error (MOE) and confidence intervals with optional finite population correction (FPC) across 90%, 95%, and 99% levels.

Z-Scores, T-Tests & Confidence Intervals Processed in your browser

Odds Ratio & Relative Risk 2x2 Table Calculator

Calculate Odds Ratio (OR), Relative Risk (RR), and 95% confidence intervals from 2x2 contingency tables for clinical and scientific studies.

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Linear Regression Trendline Equation Solver

Calculate ordinary least squares line of best fit (y = mx + b), slope, y-intercept, standard error, and make predictions.

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Pearson Correlation Coefficient Calculator

Calculate Pearson correlation r, R-squared variance explained, t-statistic significance, and Spearman rank coefficient from paired (X, Y) datasets.

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Exponential Moving Average (EMA) Time-Series Smoother

Compute Exponential Moving Average (EMA) across sequential time-series observations using configurable smoothing multipliers (alpha) or window length.

Mean, Median, Mode & Standard Deviation Processed in your browser

Descriptive Statistics Dataset Calculator

Compute summary metrics including mean, median, mode, standard deviation, variance, skewness, and quartiles from raw numeric data.

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Spearman's Rank Correlation Coefficient (Rho) Calculator

Compute monotonic non-parametric association between paired variables X and Y using Spearman's Rho rank correlation.

Mean, Median, Mode & Standard Deviation Processed in your browser

Interquartile Range (IQR) & Outlier Detector

Calculate quartiles Q1, median, Q3, IQR, Tukey lower/upper fences, and automatically flag mild and extreme anomalies.

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Weibull Distribution Reliability & Failure Rate Calculator

Model time-to-failure engineering reliability, cumulative failure probability, and hazard rates using the 2-parameter Weibull distribution.

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Binomial Probability Distribution Calculator

Calculate exact binomial probability P(X = k), cumulative P(X ≤ k), expected value mean, and variance for n Bernoulli trials.

Z-Scores, T-Tests & Confidence Intervals Processed in your browser

Cohen's d Effect Size & Power Benchmark Calculator

Compute Cohen's d effect size between two independent treatment groups to quantify practical experimental significance beyond p-values.

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Normal Distribution Z-Score & Probability Calculator

Calculate Z-scores, left/right tail cumulative probabilities, two-sided intervals, and shaded bell curve normal distributions.

Z-Scores, T-Tests & Confidence Intervals Processed in your browser

Standard Error of the Mean (SEM) Calculator

Calculate the Standard Error of the Mean (SEM) from sample standard deviation and sample size, or compute directly from raw sample data.

Z-Scores, T-Tests & Confidence Intervals Processed in your browser

Chi-Square Goodness-of-Fit Test Calculator

Compute Pearson chi-square statistic (χ²), degrees of freedom, and p-value comparing observed vs expected frequencies.

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Confidence Interval Mean & Proportion Calculator

Calculate two-sided confidence intervals [Lower, Upper] and margin of error for numerical sample means or survey proportions.

Z-Scores, T-Tests & Confidence Intervals Processed in your browser

Sample Size & Margin of Error Calculator

Determine required survey sample size or calculate margin of error given confidence levels and finite population sizes.

Z-Scores, T-Tests & Confidence Intervals Processed in your browser

Student's t-Test & p-Value Calculator

Perform one-sample, independent two-sample, and paired t-tests with degrees of freedom, p-value, and effect size.

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Kendall's Tau Non-Parametric Rank Correlation Calculator

Measure ordinal association by counting concordant and discordant pairs to compute Kendall's tau rank correlation coefficient.

Mean, Median, Mode & Standard Deviation Processed in your browser

Root Mean Square Error (RMSE) & MAE Model Evaluator

Evaluate machine learning regression accuracy by computing RMSE, Mean Absolute Error (MAE), and Mean Squared Error (MSE).

Mean, Median, Mode & Standard Deviation Processed in your browser

Fisher-Pearson Skewness & Excess Kurtosis Calculator

Quantify dataset asymmetry (skewness) and tail heaviness / outlier propensity (excess kurtosis) relative to normal distributions.

Mean, Median, Mode & Standard Deviation Processed in your browser

Weighted Arithmetic Mean & Variance Calculator

Calculate weighted arithmetic mean, weighted variance, and effective degrees of freedom across unequally weighted observations.

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Hypergeometric Probability Distribution Calculator

Calculate exact hypergeometric probabilities for finite population sampling without replacement (lotteries, card hands, quality inspection).