If an analysis of variance produces SS_{between treatments} = 30 and MS_{between treatments} = 10,then the ANOVA is comparing four treatment conditions.

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The Mean Square Between Treatments (MS_between) is calculated by dividing the Sum of Squares Between Treatments (SS_between) by the degrees of freedom (df) associated with the treatment conditions. Given that MS_between = 10 and SS_between = 30, dividing SS_between by MS_between gives 30 / 10 = 3, which represents the degrees of freedom for the treatments. Since degrees of freedom for treatments are calculated as the number of treatments minus one (df = n - 1), having 3 degrees of freedom means there are 4 treatment conditions (3 + 1 = 4).

If an Analysis of Variance Produces SSbetween Treatments = 30

If an Analysis of Variance Produces SS_{between Treatments} = 30