Updated
Statistics
ANOVA Calculator
Run one-way ANOVA (raw data or summary stats) and two-way ANOVA (no replication). Get a full ANOVA table (SS, df, MS), the F statistic, p-value, critical F, and effect sizes (η², ω², partial η²). Optional: variance check via Levene’s test and post-hoc pairwise comparisons.
Note: ANOVA assumes independent observations. Normality and equal-variance assumptions affect reliability, especially for small or highly unbalanced samples.
Use the warnings and effect sizes to support interpretation, not just the p-value.
Run an ANOVA Test
Choose a mode below, enter your data, and calculate. The ANOVA p-value is right-tailed: p = P(F ≥ Fobserved).
Enter values for each group (comma, space, or newline separated). Example: 12, 15, 14 or each number on a new line.
This mode calculates ANOVA directly from raw observations and can also run Levene’s test and post-hoc pairwise comparisons.
Uses n, mean, and standard deviation.
Summary ANOVA is useful when you don’t have raw data but you do have n, mean, and standard deviation per group.
This mode computes SSwithin from (n−1)s² and SSbetween from group means around the grand mean.
| Group | n | Mean | Std dev (s) |
|---|
Two-way ANOVA without replication uses a single value per cell (one observation for each row×column combination).
The interaction effect cannot be tested separately and becomes part of the error term. Use this mode for “two-factor without repeats” designs.
ANOVA uses the right tail of the F distribution: p = P(F ≥ Fobserved).
The critical F solves P(F ≥ F*) = α.