1.3. EDA Techniques
1.3.6. Probability Distributions
1.3.6.7. Tables for Probability Distributions
1.3.6.7.3. |
Upper Critical Values of the F Distribution |
= 0.05, 0.10, and 0.01 levels.
More specifically, a test statistic is computed with
and 
degrees of freedom, and the result is compared to this table. For a
one-sided test, the null hypothesis is rejected when the test statistic
is greater than the tabled value. This is demonstrated with
the graph of an F distribution with
= 10 and = 10. The shaded area of
the graph indicates the rejection region at the
significance level. Since this
is a one-sided test, we have
probability in the upper tail of exceeding the critical value and zero
in the lower tail. Because the F distribution is asymmetric, a
two-sided test requires a set of of tables (not included here) that
contain the rejection regions for both the lower and upper tails.
from 1 to 100 are included:
- One sided, 5% significance level,
= 1 - 10
- One sided, 5% significance level,
= 11 - 20
- One sided, 10% significance level,
= 1 - 10
- One sided, 10% significance level,
= 11 - 20
- One sided, 1% significance level,
= 1 - 10
- One sided, 1% significance level,
= 11 - 20
numerator degrees of
freedom and 
denominator degrees of freedom
