ANOVA Interpretation – How to Interpret F- and P-Values?

anovainterpretationr

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:

  1. How do I determine the critical F-value for rejecting $H_0$?
  2. 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:

  1. 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.

  2. Yes.

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