ANOVA Calculator

This tool analyzes group mean differences across k groups using summary data. It accepts per-group n_i, mean_i, sd_i and computes the ANOVA statistics without requiring raw observations. It is suitable for researchers handling published data, experiments with privacy constraints, or quick classroom exercises.
Conceptually, it implements the standard one-way ANOVA: the grand mean is computed from weighted group means, between-group variation measures how far group means deviate from the grand mean, and within-group variation uses reported standard deviations. The ratio of these variances yields the F-statistic and p-value.
Audience and value: students, researchers, and data scientists benefit from a precise, auditable calculation that supports unequal group sizes and provides basic effect-size metrics. Unique differentiator: it focuses on summary data, clarifies calculations, and returns all intermediate sums of squares and degrees of freedom for reproducibility.
Core features: rigorous adherence to ANOVA formulas, input validation for n_i and sd_i, optional reporting of effect size, and options for exporting results via an API. Use cases include validating experiments with published means, planning studies with existing summaries, and teaching one-way ANOVA concepts.