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Which of the following looks most like an F distribution? 1. T distribution. 2. F distribution 3. Normal distribution. 4. Another one.
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The first one looks like most an F distribution. Recognize that the test statistic for ANOVA, the F statistic, is calculated as the ratio of the mean square between groups (MSG, variability between groups) and mean square error (MSE, variability within errors).
Also recognize that the F statistic has a right skewed distribution with two different measures of degrees of freedom: one for the numerator (dfG=k-1
, where k is the number of groups), and one for the denominator (dfE=n−k
, where n is the total sample size).