 Hi, this is Dr. Don. I have a problem out of McClave Chapter 9 on ANOVA's. And when you read this problem, you'll see that we're talking about a new automated handling system was introduced in a plant, and the management thinks that the workers are getting too tired, and so they're taking days off. Their absentee rate varies day by day, depending on how many days they're working. So the test is to see if there's a variation in the number of workers or the percent of workers that take a day off. And we have data collected over five random weeks. So in essence here, we've got two factors. We've got the days of the week and the weeks. The days of the week, that's what we're concerned about. That's the treatment, or the columns. And the weeks, or the blocks, are the rows. So let's jump in. We're going to click on this, and we have our data there. I'm going to click on the rectangle and open in StatCrunch. Okay, we're in my StatLab, and we go to Stat, where the hypothesis tests are located, and we find ANOVA, and we go two-way. But we're stymied. ANOVA and StatCrunch wants the responses in a column, the row factor in a column, in other words, the blocks, and then the column factor in a column, which are the treatments. And our data in this problem is not structured that way, so I'm going to cancel out of that. So we need to rearrange our data, and we'll use the data of range, and now we want to stack the data. We want to take the columns and just highlight all those on the shift to highlight all five of those columns. You want to store the labels into days, and I want to type column, just to remind myself that's our column value, and our values, I just like to put values, and we can click Compute. And we have the basics there set up. Now we need to complete our weeks, our rows, and the way I do that is to highlight that, Control-C, Control-Victor, Control-Victor, Control-Victor, and one more, Control-Victor. So we've got all five of the weeks. Okay, we have our data arranged. We can go back into Stat, ANOVA, two-way. We want to select our values, our responses, which is in the values column. Our row factor is the week, and our column factor is the days. We need to click, this is important, click the additive model there because we don't have replication. This is not a repeated measures two-way ANOVA. And we just click Compute, and we get our ANOVA output there, and we can see in this particular problem, we click Done on that, we're interested in the change in the days. So we look in the days row in the ANOVA, and we get the F statistic of 2.30 and the p-value of 0.1, which tells us fail to reject, which means there's insufficient evidence indicate the main absentee rate differs across the five days of the work week. The last question is, do we need to do a 2 keys on the days? And in this case, the answer is no, the 2 key is not warranted because on our days factor, the ANOVA is not significant, it's not less than 0.05, therefore we do not need a 2 keys to see if the days differ. Hope this helps.