05, then we reject the null hypothesis that each group mean is equal. This means we don’t have sufficient evidence to say that there is a statistically significant difference between the group means. In this particular example, the p-value is 0.1138 so we would fail to reject the null hypothesis. 05 then we fail to reject the null hypothesis and conclude that we do not have sufficient evidence to say that there is a statistically significant difference between the means of the three groups. Otherwise, if the p-value is not less than α =. 05, we reject the null hypothesis of the ANOVA and conclude that there is a statistically significant difference between the means of the three groups. To find the p-value that corresponds to this F-value, we can use an F Distribution Calculator with numerator degrees of freedom = df Treatment and denominator degrees of freedom = df Error.įor example, the p-value that corresponds to an F-value of 2.358, numerator df = 2, and denominator df = 27 is 0.1138. To determine if the difference between group means is statistically significant, we can look at the p-value that corresponds to the F-statistic. Thus, the larger the F-statistic, the greater the evidence that there is a difference between the group means. The larger the F-statistic, the greater the variation between sample means relative to the variation within the samples.
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