One-Way ANOVA 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
| One-Way ANOVA Table | |||||
|---|---|---|---|---|---|
| Source | Degrees of Freedom DF |
Sum of Squares SS |
Mean Square MS |
F-Stat | P-Value |
| Between Groups | k − 1 | SSB | MSB = SSB / (k − 1) | F = MSB / MSW | Right tail of F(k-1,N-k) |
| Within Groups | N − k | SSW | MSW = SSW / (N − k) | ||
| Total: | N − 1 | SST = SSB+SSW | |||
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: SSB = Ski=1ni (xi − x)2 , where ni is the number of subjects in the i-th group
Sum of Squares Within Groups: SSW = Ski=1(ni − 1) Si2 , where Si is the standard deviation of the i-th group
Total Sum of Squares: SST = SSB + SSW
Mean Square Between Groups: MSB = SSB / (k − 1)
Mean Square Within Groups: MSW = SSW / (N − k)
F-Statistic (or F-ratio): F = MSB / MSW