CalcArena

Browse Categories

Finance Health & Fitness Statistics Probability Inferential Stats Banking Business Education Engineering Energy Construction Nutrition Daily Life Science Biology Oil & Gas Mining Telecom Textile Water Agriculture Land & Soil

From Samples to Decisions

Use these calculators to build confidence intervals, run hypothesis tests, and evaluate goodness-of-fit. Each tool follows textbook formulas, highlights assumptions, and delivers interpretation-ready output.

📏 Confidence Intervals & Margin of Error

Estimation

Confidence Interval Calculator

Build intervals for means (σ known/unknown) and single proportions with automatic critical values.

🧾 Hypothesis Tests

Live

One-sample z-Test

Compute z statistics, p-values, and critical regions when the population σ is known. Includes step-by-step workflow and references.

t-Test Suite

Run one-sample, independent (pooled/Welch), and paired t-tests with effect sizes, assumptions, and LaTeX-formatted formulas.

Proportion & Variance Tests

Run one-/two-proportion z-tests, chi-square variance checks, and F variance ratios with LaTeX formulas, steps, and references.

Chi-Square GOF Test

Compare observed vs expected categorical counts. Supports uniform or custom expectations with effect size and residual diagnostics.

Nonparametric Tests

Mann–Whitney, Wilcoxon, Kruskal–Wallis, and Shapiro–Wilk with effect sizes, tie corrections, and workflow guidance.

EDF Tests (KS & AD)

Kolmogorov–Smirnov and Anderson–Darling (one-/two-sample) with Lilliefors correction, critical values, and interpretation.

Fisher's Exact Test

Compute 2x2 Fisher exact p-values with mid-p adjustments, odds ratios, and detailed workflow narration for small samples.

Exact Binomial Test

Perform exact binomial tests with two-sided and one-sided p-values, mid-p adjustments, and Clopper–Pearson confidence intervals.

McNemar Test

Analyze paired nominal outcomes with asymptotic, continuity corrected, and exact McNemar p-values plus effect size guidance.

Cochran Q Test

Compare related binary proportions across multiple treatments using Cochran's Q with Kendall W effect size and workflow narration.

📉 ANOVA & Advanced Designs

Live

One-Way ANOVA

Paste raw group data to build the ANOVA table, F statistic, and effect sizes (η², ω²) with interpretation.

Two-way ANOVA & Post-hoc

Factorial designs with interaction, Tukey HSD, Dunnett corrections, and diagnostics (coming soon).

📐 Effect Sizes & Practical Significance

New

Cohen's d

Compute pooled SD, standardized mean difference, approximate confidence intervals, and overlap metrics for independent samples.

Hedges' g

Apply small-sample bias correction to Cohen's d and report confidence intervals with magnitude guidance.

Glass's Delta

Standardize mean differences using the control group standard deviation with overlap and r conversions.

ANOVA Effect Sizes

Derive eta^2, omega^2, and partial eta^2 from ANOVA sums of squares with field-ready magnitude prompts.

Rank-Biserial Correlation

Convert Mann-Whitney U statistics into rank-biserial correlations, confidence intervals, and probability of superiority.