I am new to statistics and I currently deal with ANOVA. I carry out an ANOVA test in R using
aov(dependendVar ~ IndependendVar)
I get – among others – an F-value and a p-value.
My null hypothesis ($H_0$) is that all group means are equal.
There is a lot of information available on how F is calculated, but I don't know how to read an F-statistic and how F and p are connected.
So, my questions are:
- How do I determine the critical F-value for rejecting $H_0$?
- Does each F have a corresponding p-value, so they both mean basically the same? (e.g., if $p<0.05$, then $H_0$ is rejected)
Best Answer
To answer your questions:
You find the critical F value from an F distribution (here's a table). See an example. You have to be careful about one-way versus two-way, degrees of freedom of numerator and denominator.
Yes.