One-Way ANOVA

Tap a term to see what it means, or .

Calculate

Example: three fertilizers were tested on five plants each, and the final height, in centimeters, was measured. Does any fertilizer make a difference? Change the values to work out your own case.

Groups (one per row) Values in each group separated by spaces or commas; groups separated by semicolons. Groups may have different sizes.

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What each term means

F Statistic: The ratio of the variation between groups to the variation within them, each per degree of freedom. Near 1, the means differ as much as chance would explain; well above 1, there is evidence of a difference.
Between-Group Variation: The size-weighted sum of the squared distances from each group mean to the grand mean, divided by k − 1, with k groups.
Within-Group Variation: The sum of the squared distances from each value to its own group's mean, divided by N − k, with N values in all. It is the noise the differences are compared against.

When to use it, assumptions and alternatives: one-way ANOVA in the statistical tests catalog.