ANOVA Calculator: One-Way Analysis of Variance Calculator

This One-way ANOVA Test Calculator helps you to quickly and easily produce a one-way analysis of variance (ANOVA) table that includes all relevant information from the observation data set including sums of squares, mean squares, degrees of freedom, F- and P-values.

To use the One-way ANOVA Calculator, input the observation data, separating the numbers with a comma, line break, or space for every group and then click on the "Calculate" button to generate the results.

ANOVA Formulas

Between Groups Degrees of Freedom: DF = k − 1 , where k is the number of groups

Within Groups Degrees of Freedom: DF = N − k , where N is the total number of subjects

Total Degrees of Freedom: DF = N − 1

Sum of Squares Between Groups: SS_B = S^k_i=1n_i (x_i − x)² , where n_i is the number of subjects in the i-th group

Sum of Squares Within Groups: SS_W = S^k_i=1(n_i − 1) S_i² , where S_i is the standard deviation of the i-th group

Total Sum of Squares: SS_T = SS_B + SS_W

Mean Square Between Groups: MS_B = SS_B / (k − 1)

Mean Square Within Groups: MS_W = SS_W / (N − k)

F-Statistic (or F-ratio): F = MS_B / MS_W