I have an f-value = $2.3$ and am trying to determine if I should reject the null at the $1\%$ level. Do I need to calculate the p-value to solve this question? What's the best way to get the p-value if I have the f-statistic, degrees of freedom, and the data points?
2026-02-23 13:40:57.1771854057
Should the F-test statistic be rejected?
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Easiest way would probably to use R. You could find a critical value and then compare it to your f-statistic. If the f-statistic is greater than the critical value, you would reject the null at the $1\%$ level.
Other way is to calculate the p-value and if your p-value is less than $1\%$ then you would reject.
The commands are respectively
qf(.99, m, n)andpf(2.3, m, n)withm,nthe degrees of freedom for the F-distribution.Note: the F-distribution is only one-sided.