00:01
Okay, so you want an example of using an an anabba table.
00:05
So i'm going to pretend i've got three groups of data, group one, group two and group three.
00:11
And the data points i'll take as an example is 41, 37, 58, 41, 40 and 43, and 36, 39 and 45.
00:27
Now, the null hypothesis we're going to test is that the population mean of the three groups is the same, and the alternative hypothesis, therefore, is that they're not all the same, i .e.
00:38
At least one is different from the others.
00:41
And the way we do this is we construct an an other table.
00:45
So we write down the degrees of freedom, sum of squares, mean square, f test statistic, and p value, and we do that for what we call between the groups, or sometimes called the treatments, within the groups, like so.
01:04
Now the degrees of freedom for between the groups is just the number of groups minus one.
01:08
Here we've got three different groups, so that's three minus one, which is two.
01:12
And then for within the groups is just the total sample size minus the number of groups.
01:18
The total sample size is nine, the number of groups is three, and so this gives us six.
01:24
For the sum of squares for between the groups, we do the sum over the three groups of the sample size of that group times the difference between the mean of that group and the overall mean squared like so.
01:41
So for us, the sum of size of each group is three.
01:46
And for the first group, the mean is 45 .3 recurring.
01:52
And the overall mean is 42 .2 recurring.
01:58
Then for the second group, the mean is 41 .3 recurring...