Two-Way ANOVA Calculator
Two-Way ANOVA (Summary Data)
Enter summary statistics for a 2×2 factorial design
Effect Size (Eta-Squared)
Calculate eta-squared effect size from ANOVA results
Formula
SS_A = bn·Σ(Ā_i - X̄)² | SS_B = an·Σ(B̄_j - X̄)² | SS_AB = n·Σ(X̄_ij - Ā_i - B̄_j + X̄)² | F = MS_effect / MS_error
Frequently Asked Questions
What is two-way ANOVA?
Two-way ANOVA tests the effect of two independent variables (factors) on a dependent variable. It also tests whether there is an interaction between the two factors. For example, testing the effects of both drug type and dosage on blood pressure.
What is an interaction effect in two-way ANOVA?
An interaction effect occurs when the effect of one factor depends on the level of the other factor. A significant interaction means the factors do not act independently. For example, a drug might work well at high dosage but not at low dosage.
What is eta-squared?
Eta-squared (η²) is an effect size measure that represents the proportion of total variance explained by a factor. Values of 0.01, 0.06, and 0.14 are considered small, medium, and large effects respectively.
You may also need
+
Standard Deviation Calculator
Free standard deviation calculator. Calculate mean, variance, and standard deviation for any dataset. Supports population and sample statistics.
Math+
P-Value Calculator
Free P-value calculator from test statistic. Compute p-values for z-tests, t-tests, and chi-square tests with one or two-tailed options.
Math+
Probability Calculator
Free probability calculator. Calculate probability of events, combinations, permutations, and coin flip odds.
Math