ANOVA F-statistic

Here are some facts about the F distribution.

  1. The curve is not symmetrical but skewed to the right.

  2. There is a different curve for each set of dfs.

  3. The F statistic is greater than or equal to zero.

  4. As the degrees of freedom for the numerator and for the denominator get larger, the curve approximates the normal.

  5. Other uses for the F distribution include comparing two variances and two-way Analysis of Variance. Two-Way Analysis is beyond the scope of this chapter.

Note

This is an example of a balanced design, because each factor (i.e., sorority) has the same number of observations.

References:

  1. https://courses.lumenlearning.com/introstats1/chapter/facts-about-the-f-distribution/

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