Statistical calculators and
R output interpreters
Every result is checked against R's own output and comes with the R code to reproduce it. The tools run in your browser and are free to use, without an account.
Every tool ends with a verdict line. Try one:
The calculators write this sentence for your actual test, not just the p-value.
Calculators
Enter your numbers. The page runs the test and writes out the conclusion, with the R call that reproduces it.
30 toolsTwo means, paired or one-sample. Summary stats or raw values both work.
t p-Value Calculator→Turn a t, z, chi-square, F, or r statistic into its p-value, or go the other way from alpha.
p Descriptive Statistics→Paste a column of numbers for the mean, median, SD, quartiles, skewness, and a live histogram and boxplot.
summary Mean, Median & Mode→Paste a list or a frequency table for the mean, median and mode together, with the range, midrange and a read on when the median beats the mean.
x̄ Standard Deviation→Paste a list or a frequency table for the sample and population standard deviation, variance, standard error and CV, with every step shown.
SD Percentile Calculator→Paste data for the full percentile table, 1st to 99th plus any custom percentile, or the percentile rank of a value, in type 7 or 6.
P90 IQR & Outliers→Paste data for the interquartile range, quartiles, five-number summary, the 1.5 IQR fences and every flagged outlier, on a labeled boxplot.
IQR Box Plot→Paste one group or several named groups for the five-number summary, quartiles, IQR and outliers, drawn as side-by-side box plots.
boxplot Correlation→Paste two columns for Pearson r, Spearman rho or Kendall tau-b with a CI, p-value and a live scatter plot.
r Correlation Matrix→Paste columns for the full Pearson or Spearman matrix, colour coded, with the p-value and the n behind every cell.
cor Linear Regression→Paste x and y for the fitted line, the slope and intercept with SEs, t and p, R-squared, and a scatter with the fit.
lm Prediction Interval→Paste x and y, pick a new x, and see the prediction interval for one new observation beside the confidence interval for the mean.
predict() One-Way & Two-Way ANOVA→Paste raw group data for the full ANOVA table (SS, df, F, p), effect sizes, a group-means plot, an assumption check and the R code.
aov Post-Hoc Tests→Your ANOVA is significant, so which groups differ? Tukey HSD, Bonferroni pairwise t-tests and Dunn with BH, plus a letters display.
HSD Odds Ratio→Enter a 2x2 table for the odds ratio, risk ratio, NNT and attributable risk, each with a confidence interval and the right p-value.
OR Fisher's Exact Test→Enter a 2x2 table for the exact one- and two-sided p, the odds ratio with an exact CI, and an optional mid-p, with the null distribution drawn.
FET A/B Test→Conversion counts for two variants, with sample-size planning and a Bayesian read.
z Statistical Significance→Is the difference real or noise? Two conversion rates, two averages, or a rate versus a target, with a plain-English verdict.
p<.05 Chi-Square→Counts in a table: independence, goodness-of-fit, homogeneity. Residuals show which cell drives the result.
χ² Confidence Intervals→Eight interval types for means, proportions, and variances, drawn to scale.
CI Margin of Error→The plus-or-minus on a poll or survey, the sample size for a target margin, or the margin on an average.
MOE Bootstrap CI→Paste raw data and bootstrap a CI for the mean, median, SD, or any quantile.
boot P-Value Adjustment→Paste a column of p-values and see what survives Bonferroni, Holm, or the BH false-discovery rate.
FDR Equivalence (TOST)→Shows whether two treatments are close enough to call equivalent, not just “not significantly different”.
TOST Z-Score ↔ Percentile→Convert a z-score to a percentile and back, with the shaded curve to match.
z Normal Distribution→Area below, above, between or outside a value on any normal curve, plus inverse cutoffs, with a shaded plot.
pnorm Empirical Rule→The 68-95-99.7 rule for any mean and SD: the three bands and their ranges, which band a value is in, or the range for a coverage.
68-95-99.7 Binomial Probability→The chance of k successes in n trials, exact or cumulative, a range, or the inverse count, with a shaded bar chart.
dbinom Poisson Distribution→The chance of k events at an average rate lambda, exact or cumulative, a range, or the inverse count, with a shaded bar chart.
dpois Proportion Z-Test→A one- or two-proportion z-test the classroom way: hypotheses, the z statistic, a critical value, and the p-value, with the continuity-correction note.
zReference Tables
The printable critical-value tables, with a live lookup and a reverse mode on top.
6 toolsLook up t critical values by df and alpha, or go backwards from t to p. Printable.
qt z Table→Standard normal areas: z to probability in any direction, and back. Printable.
qnorm Chi-Square Table→Look up chi-square critical values by df and alpha, or go from a statistic to its p-value. Printable.
qchisq F Distribution Table→Look up F critical values by df1, df2 and alpha, or go from an F statistic to p. Printable.
qf Binomial Table→Look up the chance of k successes in n trials: exact and cumulative cells for n = 1 to 20, with the p > 0.5 mirror handled for you. Printable.
dbinom Pearson r Table→How strong a correlation has to be, at your sample size, to count as real. Critical r by df and alpha, with a verdict and an exact p-value. Printable.
cor.testBayesian
For questions about how much to believe something, rather than whether p crossed a line.
5 toolsHow strongly the data favor H1 over H0, with a plot showing how the answer moves as the prior changes.
BF₁₀ Bayes' Theorem→Base rate in, posterior out. Explains why a 95%-accurate test can still be usually wrong.
P(H|D) Beta Distribution→The distribution for a proportion: density, tail areas, quantiles and credible intervals for any alpha and beta, with a shaded curve.
dbeta Bayesian A/B Test→Whether you can stop the test: P(B beats A), the expected loss of shipping each variant in conversion points, and a credible interval for the lift.
E[loss] Posterior Calculator→Update a prior with data in closed form: Beta-Binomial, Normal-Normal or Gamma-Poisson. Prior, likelihood and posterior on one plot, the update arithmetic, and a credible interval.
qbetaR Output Interpreters
Paste output straight from your R console. These pages decode every line and recompute the numbers as a cross-check.
9 toolsPaste summary(lm(...)). Every coefficient, the R², and the F-test explained line by line.
lm glm() Interpreter→Paste summary(glm(...)). Coefficients become odds or rate ratios; deviance and AIC get a plain reading.
glm lmer() Interpreter→Paste summary(lmer(...)). Variance components, the ICC with its formula, and where the p-values went.
lmer coxph() Interpreter→Paste summary(coxph(...)). Hazard ratios in plain English, the concordance, and the assumption the printout never checks.
coxph Bayesian Output→Paste summary() from brms or rstanarm. Credible intervals in plain English, Rhat and ESS decoded, and an honest verdict on whether the fit converged.
brms ANOVA Interpreter→Paste aov() output. Recomputes each F from the sums of squares and adds effect sizes.
aov Diagnostic Plots→Reads the four plot(lm) panels for you: what a healthy one looks like and what yours is saying.
resid VIF→Checks whether your predictors are too correlated for the coefficients to mean anything.
VIF Confusion Matrix→Four cells in; precision, recall, F1, MCC and kappa out, with advice on which to trust when classes are imbalanced.
2×2Pickers & Decision Tools
Not sure which test fits? These narrow it down from the shape of your data and show the reasoning.
4 toolsAnswer plain questions about your goal and data; it walks the decision tree to the right test.
tree Normality Tests→Shapiro-Wilk, Anderson-Darling and a Q-Q plot, plus a straight answer on whether normality even matters for your case.
Q-Q Nonparametric Tests→Wilcoxon, Mann-Whitney, Kruskal-Wallis and Friedman, for when means and normality are off the table.
ranks DAG Adjustment Sets→Draw your causal diagram; it finds the minimum set of variables to adjust for and flags colliders.
DAGStudy Design & Power
Work out sample size and power while the study can still be changed.
8 toolsStart here. Routes you to the right calculator for what you are comparing, or sizes a survey estimate from your margin of error.
n Sample Size for t Tests→How many participants a one-sample, two-group, or paired t test needs, from Cohen’s d or from your means and SDs.
n Sample Size for Proportions→How many users an A/B test needs, or a one-proportion test against a target, from your rates or from Cohen’s h.
h Sample Size for ANOVA→How many per group a one-way ANOVA needs, from Cohen’s f, from eta-squared, or from the group means you expect.
f Power Analysis→Solve for any one of sample size, power, effect size, or alpha across the common tests.
1−β Survival Power→Events, sample size, or power for a log-rank test, with accrual, follow-up, and dropout built in.
log-rank Effect Size Converter→Translate between Cohen's d, r, odds ratios, and eta-squared without hunting for the formula.
d↔r Type I / II Errors→Drag effect size, n, and alpha; watch the two error regions trade against each other.
α/βSpecialized
Narrower jobs: time series, outliers, classifier curves, and preparing a question for Stack Overflow.
9 toolsADF, KPSS and Phillips-Perron on your series, and what to do when they disagree.
ADF ACF & PACF→Both correlograms with the significance bands, and an honest read on the ARIMA order.
Lags Outlier Detection→Grubbs, ESD, Hampel and IQR on the same data, side by side.
IQR ROC & AUC→Paste scores and labels for the ROC curve, AUC with a DeLong CI, and the threshold that fits your costs.
AUC Cronbach's Alpha→Paste item responses for alpha, its confidence interval, and a per-item read on what to keep or drop.
α Cohen's Kappa→Paste a confusion matrix or two rating columns for kappa, weighted kappa, a 95% CI and the agreement band.
κ ICC Calculator→Paste a rater table for all six intraclass correlation forms with CIs, and a picker for which one to report.
ICC Meta-Analysis→Pool a handful of studies under both the fixed-effect and random-effects models, with a forest plot and the heterogeneity numbers in plain English.
pooled Reprex Builder→Turns your problem code into a minimal, runnable example people will actually answer.
.mdEach tool links back to the tutorial that teaches the method.
The tools stay free.
Pro is for when you want to be tested on them.
None of these tools is behind a paywall, and none ever will be. Pro is a different thing. It is graded mastery quizzes and a verifiable certificate, for when you have stopped reaching for the calculator and want proof you can run the test by hand. You earn it by passing the work, not by paying for a badge.