00:01
Okay, so we want to set up an anova table to test whether the means for a, b and c are all the same or not.
00:07
So the null hypothesis would be that the means, the mean production per acre is the same for all different varieties and the alternative is that they're not all the same.
00:21
So at least one is different.
00:24
And to do that, we're going to construct our anova table.
00:26
So we've got our between the groups statistics and our within the groups statistics.
00:32
And we have to compute the degrees of freedom, the sum of squares, the mean square, the f value, the f test statistic and the p value for that test statistic.
00:44
And the degrees of freedom for between the groups is just the number of groups minus one.
00:48
So that's three minus one, which is two.
00:49
And within the groups is the total sample size minus the number of groups, which is 12 minus three, which gives us nine.
00:56
The sum of squares for between the groups is just given by the sum of the sample, the sum over each group of which there are three of the sample size of that group times the mean of that group minus the overall mean...