00:01
Alright, so for this problem, the first thing that we are going to want to do is to group all of the data together and assign the ranks for all of the data.
00:09
So there are a number of different ways to do this.
00:11
The way that i prefer to do this is to set up my table like this.
00:14
What i'll do is go in order of rank from the smallest value to the largest value, and basically i'll just make sure that i'm putting the relevant values in the column corresponding to the sample.
00:25
That way it's a lot easier to keep track of what samples get which rank when we actually come to the point of adding together the ranks.
00:34
So we can see that for sample 2, we should start off with the 20, our 21, our 22, and then our 24.
00:45
And let's see here, the smallest value in any of the other samples is 28.
00:49
So we would then go over to sample 3, put down our value of 28, then what's next? looking at the values, we have a 30, in fact we have 30 occurs twice from sample 1.
01:07
Then we have a 31 in sample 3, a 32 in sample 2, actually we have two 31s in sample 3.
01:19
Then we have that 32 in sample 2, that's the last one that we'll be getting from sample 2 there.
01:29
We need some more rows.
01:33
Then let's see here, so we are up to 32, then the next value is going to be 35 from sample 1.
01:43
Then we get a 36 from sample 1, and a 37 from sample 3.
01:53
So now that we have those, we'll go and assign the unmodified ranks.
01:57
So we'd have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
02:08
And then we need to modify to account for the ties.
02:12
So we would take the midpoint of all of the ranks of the individual measurements.
02:18
So we have 6 and 7 are tied, so that becomes 6 .5 for each.
02:22
8 and 9 are tied, so that becomes 8 .9 for each.
02:26
Or not 8 .9, excuse me, 8 .5 for each.
02:32
And then, let's see here, i believe, is everything.
02:37
So now that we have those values, we're going to want to sum up the ranks for the different samples.
02:42
So, for r1, the sum of ranks for the first group, we can see that that would be 6 .5 plus 6 .5 plus 11 plus 12...