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Question
when testing for differences between treatment means, the degrees of freedom for the t statistic are ________. (a) (n - k) (b) k (c) (n - 1) (d) (1/n1 + 1/n2)
In a one - way ANOVA (analysis of variance) when testing for differences between treatment means using a t - statistic, the degrees of freedom for the t - statistic is calculated as the total number of observations ($n$) minus the number of treatment groups ($k$). This is because when estimating the variance within groups, we lose $k$ degrees of freedom for estimating the group means.
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A. (n - k)