Final Exam (Take home part):
Please complete the analysis for the following problems and BRING your results to the Final exam. You will be asked to provide comments on your findings and ANOVA tables and discussion for the diagnostics. You are required to work on your own. Please NO collaboration and discussing the problems.
Data Analysis part:
1.
An engineer studying methods for improving the ability of airplane controllers to detect targets on a radar scope believes that the amount of ground clutter is an important factor. Three levels of ground CLUTTER (LOW, MEDIUM and HIGH) are of particular interest. Because the ability to detect a target is quite variable among controllers, the engineer decides to measure each randomly selected controller at each of the three levels of ground CLUTTER. Therefore, the levels of ground CLUTTER are randomly ordered for each of the selected controllers. The response for this experiment is a performance score. The observed data for this experiment are presented below:
LOW
MEDIUM
HIGH
Controller:
1
94
106
118
2
100
110
116
3
104
109
112
4
96
100
102 a.
Identify the design and write the model. b.
Analyze the data to see if there were any differences among the three levels of clutter. If so where. c.
Look at Normality and equal variance using plots and comment. d.
Now, let’s assume that the observation “100” (Controller 4, Medium Clutter) was missing. Run the analysis with the missing observation and see what the differences are, between this and the analysis in (b). e.
Estimate the observation and plug it in. Rerun the analysis. What changes?

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27
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20
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13
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2.
The data is obtained from Cartwrigtht, Lindahl and Bawden (1968) from an experiment to reduce dental caries. Two treatments, (SF: stannous fluoride) and APF(acid-phosphate fluoride) and W (distilled water) are used in a two-year study. 69 female children residing in 3 different institutions were randomly chosen and completed the study. Their age and the number of decayed, missing or filled teeth (DMFT) is reported before (B) and after (A) the study. Analyze the data to see if there is any difference among the three treatments applied. Control for the extraneous factors. Discuss the diagnostics of the model. Discuss the model used. Is there any other way of analyzing the data set than the one you used.
{Hint: there are multiple ways you can analyze the data. Use the way that you think gives the
1
1
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1
best answer. } inst. age
1
1
13
17
1
1
1
1
16
13
10
17
13
9
14
14
11
15
B
7
20
21
1
3
20
9
2
11
15
7
17
A
11
24
25
2
7
23
13
4
13
18
10
17 treatmt
W
W
W
W
W
W
W
W
SF
SF
APF
APF
11
7
11
16
16
7
11
15
14
11
9
17
14
13
9
9
15
10
10
15
11
9
9
16
9
1
3
10
13
3
4
4
15
6
4
18
11
9
4
5
11
4
4
7
0
3
0
8
11
5
7
14
17
4
7
9
18
8
6
19
12
9
7
7
14
6
4
7
4
3
1
8
APF
APF
APF
W
W
W
W
W
SF
SF
SF
SF
SF
SF
SF
SF
SF
SF
APF
APF
APF
APF
APF
APF

3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
11
14
9
11
12
14
13
14
14
14
13
12
12
14
8
16
14
16
12
8
14
9
15
14
10
12
11
11
16
15
10
6
7
55
56
57
58
59
60
51
52
53
54
47
48
49
50
37
38
39
40
41
42
43
44
45
46
68
69
61
62
63
64
65
66
67
2
13
9
15
13
2
9
4
10
7
14
7
3
9
8
19
10
10
7
13
5
1
8
4
4
14
8
3
11
16
8
0
3
4
18
12
18
17
5
12
6
14
11
15
10
6
12
10
19
13
12
11
12
8
3
9
5
7
14
10
5
12
18
8
1
4
W
W
W
W
W
W
W
SF
SF
SF
SF
SF
SF
SF
SF
SF
SF
APF
APF
APF
APF
APF
APF
APF
APF
APF
APF
APF
APF
APF
APF
APF
APF
3.
A biologist studied 6 ponds stocked with larval striped bass. Before stocking the ponds, 3 ponds were treated with lime in an attempt to improve survival rate and 3 were without lime. Each pond was divided into three sections and one of three different types of food pellets was fed to the striped bass in each section. After 10 weeks, 5 striped bass were taken from each pond and measured (length in mm). Identify the design. Construct a model, listing assumptions and all relevant terms.

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1
Treatment Pond
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1
1
Feed
2
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3
2
2
2
2
3
1
1
1
1
1
3
3
3
3
2
2
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2
1
1
1
1
1
2
1
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2
2
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3
1
1
1
3
3
3
1
Length
250
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255
253
248
249
249
245
248
250

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1
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1
1
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2
1
1
1
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3
1
1
251
250
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256
238
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254
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250
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251
241
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245
250
241
245
249
246

4.
Problem 14.31 in your book
5.
(Use a different sheet of paper for this as you have to attach this to your exam):
Based on the 4 conceptual exercises that you did in class, write down: a.
ONE thing you would do different in your experiment if you had a chance to do it over again. b.
ONE take home message you are taking away from the Conceptual Exercises.