A repeated-measures t test produces a t statistic of t = 4.00 with df = 12.If the same data were evaluated with a repeated-measures ANOVA,the F-ratio would be F = 16.

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The t statistic and F-ratio values are related but not the same. In general, a higher t statistic indicates a larger difference between means and a lower probability of obtaining such a difference by chance, while a higher F-ratio indicates greater variance between groups and a lower probability of obtaining such a variance by chance. In this case, a t statistic of 4.00 with df = 12 indicates a significant difference between means, while an F-ratio of 16 would also indicate a significant difference between means and suggest more variance between groups. Therefore, it is possible for the t test and ANOVA to yield different test statistics but still reach the same conclusion about the significance of the results.

A Repeated-Measures T Test Produces a T Statistic of T