00:01
Okay, we're going to do 13 .29.
00:05
So basically what we're going to do is we're going to fill out this table, the anova table.
00:12
And the assumption that is already given has been filled out.
00:18
For example, this 26 comes from ssa, and then this is s -s -b, s -s -a -b, and then this is s -s -a -b, and then this is s -s -t.
00:32
So those are already given in the question.
00:41
So the first thing we're going to do is we're going to calculate sse.
00:46
And sse is given by sst minus ssa plus ssb plus ssa a b.
01:02
So we're going to use this formula and fill in the ssasb as given.
01:12
So ssd is 280 and then we're going to subtract it 26, 23, 175, and then this gives 56.
01:33
So sse is 56.
01:42
Now we're going to calculate the degrees of freedom.
01:47
A is given by 4.
01:51
B is 3.
01:55
R is 3.
01:58
And then n t, this is a, b, r, which is 36.
02:04
So the degrees of freedom for factor a, this is given by a minus 1.
02:16
So dfa is a minus 1, which is equal to 3.
02:23
So we're going to filling 3.
02:31
Dfb is b minus 1, which is 2.
02:39
So this is 2 and then df for interaction is given by a minus 1 times b minus 1 and this is 6 and df let's feel it in and df for error is a b minus 1.
03:19
So this is 24 and df total is nt minus 1 so this gives 35.
03:49
Okay let's fill it in for error in total we have 24 and 35.
03:59
So now we calculate a mean square and mean square for factor a, msa.
04:12
This is ssa over df of a, so degrees of freedom of a.
04:24
And then this gives 8 .67.
04:32
And msb is ssb over degrees of freedom of b, which gives 11 .5 and then msab is equal to ssab over df of interaction and then this gives a 29 .17 and mse this is equal to mse this is equal to sse over degrees of freedom of e.
05:33
And then this is 2 .33.
05:42
So again, the ssa and s .b.
05:48
Ssa was given by a question, then we found sse.
05:52
So we're going to just fill that in and df, that's the degrees of freedom, which we found in the previous.
05:59
Your space here.
06:01
So we're just going to fill these number in to the table that we have.
06:08
8 .67, 11 .5, 29 .17, and 2 .33.
06:21
So now we will calculate f.
06:29
So f for factor a, this is msa over.
06:37
Mse and these are both found in the previous page so if you recall msa was 8 .67 and mse was 2 .33 so when we do this calculation we get 3 .71 and f4b is equal to msb over ms e and then we get 4 .93 and we have one more f4 the interaction and this is msab over ms e now this is equal to 12 .5 so we're going to fill these number in to the table that we have so 3 .71, 4 .93, and 12 .5.
08:01
So now we can calculate the p value.
08:08
So in order to do the calculation of p value, we need to use a excel or any other software that can calculate the p value.
08:20
So, on excel, you can use a function called f.
08:33
.f.
08:35
...