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Figure 4.3 (page 235) displays the 6 treatments for a two-factor experiment on TV advertising. Suppose we have 150 students who are willing to serve as subjects. Describe how you would randomly assign the subjects to the treatments

(a) using slips of paper.

(b) using Table D.

(c) using technology.

a) Write all names on different slips of paper, put in container and mix. Pull out 25 and assign to treatment 1, then 25 more to treatment 2, then 25 more to treatment 3, and continue until all 150 are assigned.

b) Give each student a unique number between 001 and $150,$ according to their

alphabetical ranking.

c) Give each student a unique number between 001 and 150 and read off of table D into six treatments of 25.

Sampling and Data

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Chyann B.

December 1, 2020

okay for this problem. We know we have 150 students to a assigned Thio, six different treatment groups. So 150 um, Atmos advertising TV. But it is students, and we have six groups. And the question asks us, How would you do this in three different ways of doing this? The first with an old fashioned paper slip away, the second with technology and the third using a random number table. So we'll go right down there. So using slips of paper we do is, uh, 100 50 slips of paper. We'd write all 150 names, put him in a hat, 50 names, put him in a hat, mix them up on De Select 25 at a time. The easiest thing to conceptually understand. That's a lot of paper and old fashioned way of doing it. But it meets the criteria of what they want you to show that you know about random selection. Um, second kind of method would be using technology. Okay, if we use tech. Okay, we could do a random number energy random into your number generator. So if we use the the calculator and there's online things to do, too. Some say, Rand, and we'll go one comma 1 50. So if you have names assigned to those numbers one through 1 50 and then were selected 25 at a time to have all exhausted and finally kind of a mix without technology but without pieces of paper. For the third method, Table E just has a random number table, and it's table D in this textbook in what you want to do is you want to just assign your students numbers between Yeah, 00121 50. And then you just read across the group reading, Pick up hot, spot the table and read number assignments until you get six different groups of 25. Okay, so three ways to kind of accomplish the same task. Um, I will say we kind of bees talk appear about 1 50 groups of six. Just one little thing in practice when you're doing a lot of problems, just the three when you have, like, you know, over three digits, it's kind of good just to get the habit of always thinking 001 just the more precise you could be with the numbering? Uh, the better off you'll be, depending on the type of questions they're gonna ask you, So I hope that helps you.

City College of New York

Sampling and Data