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Which of the following looks most like an F distribution?
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Which of the following looks most like an F distribution?
- T distribution.
- F distribution
- Normal distribution.
- Another one.
Solution:
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).