One-Way ANOVA Calculator
Calculate a one-way ANOVA F statistic from summary statistics for three independent groups.
Calculate a one-way ANOVA F statistic from summary statistics for three independent groups.
Move between weighted summaries, t statistics, chi-square goodness-of-fit and one-way ANOVA calculations.
Calculate a weighted arithmetic mean from values and their non-negative weights.
Open calculatorCalculate the pooled standard deviation for two independent samples under the equal-variance model.
Open calculatorCalculate a one-sample t statistic and its degrees of freedom from summary statistics.
Open calculatorCalculate Welch’s two-sample t statistic and approximate degrees of freedom without assuming equal variances.
Open calculatorCalculate a paired-sample t statistic from the mean and standard deviation of paired differences.
Open calculatorCalculate the chi-square goodness-of-fit statistic from observed and expected category counts.
Open calculatorCalculate a one-way ANOVA F statistic from summary statistics for three independent groups.
Calculate a one-way ANOVA F statistic from summary statistics for three independent groups.
Enter compatible statistical values. The calculator validates the inputs and applies F = MS_between / MS_within, where SS_between = Σnᵢ(x̄ᵢ−x̄)² and SS_within = Σ(nᵢ−1)sᵢ².
Variables: n₁ = Sample size 1; x̄₁ = Mean 1; s₁ = Standard deviation 1; n₂ = Sample size 2; x̄₂ = Mean 2; s₂ = Standard deviation 2; n₃ = Sample size 3; x̄₃ = Mean 3; s₃ = Standard deviation 3.
Example: For the default three-group summary statistics the calculator returns F≈8.9705 with df_between=2 and df_within=27.
It is an educational tool for descriptive and inferential statistical calculations from supplied values or summary statistics.
No. Where a test statistic is calculated, the tool does not automatically replace study design, assumption checks, p-value interpretation, confidence intervals or subject-matter judgment.
These sources are used to verify terminology, formulas, and information related to this calculator.