Statistics
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ANOVA One Way Calculator
Run one-way ANOVA summary statistics for multiple groups.
Compute sums of squares, mean squares, and F statistic for one-factor group comparisons.
Mini Tools Collection
Useful one-page tools for real work
ToolPatch is a growing collection of focused utilities. Each page handles one task with clear inputs, fast results, and practical outputs.
Statistics
Featured
Bayes Theorem Calculator
Compute posterior probability from prior, sensitivity, and false positive rate.
Useful for medical test interpretation, risk scoring, and signal-detection decisions.
Statistics
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Confidence Interval Calculator
Estimate confidence intervals from mean, standard deviation, and sample size.
Calculate margin of error and confidence bounds for common confidence levels. Great for analysis reports, A/B test summaries, and classroom statistics.
Statistics
Featured
Confidence Level Z Value Tool
Convert confidence levels to z critical values and margin of error.
Get z* for common and custom confidence levels and estimate margin of error with sigma and n.
Statistics
Featured
Normal Probability Calculator
Compute probability between two bounds in a normal distribution.
Converts bounds to z-scores and calculates probability mass between them.
Statistics
Featured
One-Sample t-Test Calculator
Compute one-sample t-statistic from sample values and hypothesized mean.
Enter sample values and compare against a target mean using the one-sample t-test setup.
Statistics
Featured
Pearson Correlation Calculator
Calculate Pearson r and R² from paired X and Y datasets.
Quantify linear relationship strength between two numeric variables.
Statistics
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Poisson Probability Calculator
Calculate exact and cumulative Poisson event probabilities.
Estimate event-count probabilities over fixed intervals when events are rare and independent.
Statistics
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Relative Risk Odds Ratio Calculator
Compute RR, OR, and confidence intervals from a 2x2 contingency table.
Analyze exposure-outcome association with relative risk, odds ratio, and 95% confidence bounds.
Statistics
Featured
Sample Size Calculator
Estimate required sample size from confidence level, margin error, and proportion.
Supports infinite-population and finite-population adjusted sample size estimates.
Statistics
Chi-Square GOF Calculator
Calculate chi-square goodness-of-fit statistic from observed vs expected counts.
Useful for categorical fit checks and introductory hypothesis testing workflows.
Statistics
F Test Variance Calculator
Compare sample variances with F statistic and degrees of freedom.
Compute two-sample variance comparison metrics to support homogeneity checks.
Statistics
Geometric Mean Calculator
Find geometric mean for positive-number datasets.
Useful for growth rates, index performance, and multiplicative process summaries.
Statistics
Harmonic Mean Calculator
Calculate harmonic mean for rates and ratios.
Best for averaging speeds, price multiples, and other ratio-based metrics.
Statistics
Moving Average Calculator
Compute rolling averages over a configurable window.
Useful for smoothing noisy series and spotting trend direction.
Statistics
Percentile Rank Calculator
Find percentile rank of a target value within a dataset.
Helpful for score interpretation, benchmarking, and education metrics.