354 Statistical Methods
2 Click F from the Table of Contents column. Review the material and
scroll to the bottom of the worksheet. See Figure 9-1.
Figure 9-1
The F
distribution
The F distribution has two degree-of-freedom parameters: the numerator
and denominator degrees of freedom. The distribution is usually referred to
as F(m, n)—that is, the F distribution with m numerator degrees of freedom
and n denominator degrees of freedom. The Distribution workbook opens
with an F(4,9) distribution.
Like the x^2 distribution, the F distribution is skewed. To help you better
understand the shape of the F distribution, the worksheet lets you vary the
degrees of freedom of the numerator and the denominator by clicking the
degrees-of-freedom scroll arrows. Experiment with the worksheet to view
how the distribution of F changes as you increase the degrees of freedom.
To increase the degrees of freedom in the numerator and
denominator:
1 Click the up spin arrow to increase the numerator degrees of freedom
to 10.
2 Click the up spin arrow to increase the denominator degrees of freedom
to 15. Then watch how the distribution changes.
In this book, hypothesis tests based on the F distribution always use the
area under the upper tail of the distribution to determine the p value.