Wading Through the Data Swamp:
Program Evaluation 201
New Information: Change Scores and Participation
I told Jack that he should have his evaluator look into whether there was a relationship between the amount of services received and the amount of change in alcohol scores. Before we look at the new information, let's talk a little about change scores and the participation scale the evaluator used.
Change Scores
Change scores may seem a bit confusing, but the concept is fairly basic. We look at the difference between the posttest scores and the pretest scores for the participants' alcohol use. To calculate a change score, we subtract the pretest score from the posttest score for each participant.
Positive values denote an increase in alcohol use scores from pretest to posttest. Negative values denote a decrease in alcohol use. A zero value indicates that alcohol use remained unchanged.
Here is an example of a change score calculation:
- Posttest score - Pretest score = change
- 0 days uses - 4 days uses = -4 (change score)
This would be an ideal outcome. The participant's change score is negative, meaning this kid drank much less after the program than he did before.
Participation Scale
The evaluator coded attendance per participant based on the following 5-point scale:
1=1-36 days
2=37-72 days
3=73-108 days
4=109-144 days
5=145-180 days
For example, if a participant attended 108 days (3 times a week), he or she would be coded as a 3. If a participant attended all the sessions, he or she would be coded as a 5.
The next step is to look at change scores and attendance. For example, one participant had a change score of -2 and an attendance score of 3. Another had a change score of 3 and an attendance score of 0. Looking at change scores and attendance will help us answer the question:
Is there a relationship between services received during the Cool After School Program and the change in alcohol use?
Change Scores, Alcohol Use

Scrolling Table! You can use the table below to scroll through the data.
| Kid # | Pretest | Posttest | Change in Alcohol Use (Post - Pre) |
Attendance Scale (0-5) |
|---|
| 1 | 2 | 0 | -2 | 3 |
| 2 | 1 | 1 | 0 | 2 |
| 3 | 2 | 2 | 0 | 1 |
| 4 | 2 | 4 | 2 | 0 |
| 5 | 2 | 2 | 0 | 1 |
| 6 | 1 | 0 | -1 | 4 |
| 7 | 2 | 2 | 0 | 2 |
| 8 | 0 | 0 | 0 | 1 |
| 9 | 4 | 5 | 1 | 0 |
| 10 | 1 | 0 | -1 | 4 |
| 11 | 2 | 2 | 0 | 1 |
| 12 | 2 | 2 | 0 | 1 |
| 13 | 2 | 5 | 3 | 0 |
| 14 | 1 | 0 | -1 | 3 |
| 15 | 2 | 3 | 1 | 0 |
| 16 | 1 | 0 | -1 | 1 |
| 17 | 2 | 2 | 0 | 2 |
| 18 | 5 | 7 | 2 | 0 |
| 19 | 1 | 1 | 0 | 0 |
| 20 | 2 | 0 | -2 | 4 |
| 21 | 2 | 2 | 0 | 1 |
| 22 | 2 | 6 | 4 | 0 |
| 23 | 0 | 0 | 0 | 1 |
| 24 | 2 | 1 | -1 | 4 |
| 25 | 1 | 1 | 0 | 1 |
| 26 | 2 | 2 | 0 | 2 |
| 27 | 2 | 2 | 0 | 1 |
| 28 | 1 | 1 | 0 | 0 |
| 29 | 2 | 2 | 0 | 1 |
| 30 | 2 | 0 | -2 | 2 |
| 31 | 0 | 3 | 3 | 0 |
| 32 | 2 | 0 | -2 | 4 |
| 33 | 1 | 0 | -1 | 5 |
| 34 | 0 | 0 | 0 | 3 |
| 35 | 2 | 2 | 0 | 0 |
| 36 | 2 | 2 | 0 | 1 |
| 37 | 1 | 0 | -1 | 4 |
| 38 | 2 | 3 | 1 | 0 |
| 39 | 1 | 7 | 6 | 0 |
| 40 | 2 | 0 | -2 | 2 |
| 41 | 0 | 0 | 0 | 3 |
| 42 | 2 | 2 | 0 | 1 |
| 43 | 2 | 5 | 3 | 0 |
| 44 | 1 | 3 | 2 | 1 |
| 45 | 2 | 0 | -2 | 0 |
| 46 | 2 | 0 | -2 | 2 |
| 47 | 2 | 3 | 1 | 0 |
| 48 | 1 | 0 | -1 | 1 |
| 49 | 2 | 0 | -2 | 5 |
| 50 | 2 | 2 | 0 | 0 |
Let's start by plotting the data.








