Researchers at a trauma center wished to develop a program to help brain-damaged trauma victims regain an acceptable level of independence. An experiment involving 72 subjects with the same degree of brain damage was conducted. The objective was to compare different combinations of psychiatric treatment and physical therapy. Each subject was assigned to one of 24 different combinations of four types of psychiatric treatment and six physical therapy programs. There were three subjects in each combination. The response variable is the number of months elapsing between initiation of therapy and time at which the patient was able to function independently. The results were as follows: Physical Therapy Program Psychiatrie Treatment B C D 13.2 13.2 13.5 11.0 9.4 12.5 11.5 10.5 9.6 9.6 10.8 9.6 10.5 11.8 11.5 10.5 10.8 1.0 II 11.5 10.5 14.6 12.0 10.5 14.0 12.0 115 11.8 12.8 11.5 11.8 11.8 12.3 II 11.5 13.7 12.3 13.1 9.4 13.7 14.0 IV 11.8 9.1 13.5 15.0 10.5 10.8 12.5 14.0 .2 14.4 14.2 11.0 11.2 13.0 V 11.2 11.8 14.2 10.0 10.2 13.5 13.7 I1.2 10.8 11.5 I1.8 VI 10.8 11.5 10.2 12.8 11.8 10.2 11.5 12.0 a. What experimental design is most appropriate to use? b. What are the factors considered? c. How many levels are there per factor? d. What is the response variable?

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Researchers at a trauma center wished to develop a program to help brain-damaged trauma victims regain an acceptable level of independence. An experiment involving 72 subjects with the
same degree of brain damage was conducted. The objective was to compare different combinations of psychiatric treatment and physical therapy. Each subject was assigned to one of 24
different combinations of four types of psychiatric treatment and six physical therapy programs.There were three subjects in each combination. The response variable is the number of months
elapsing between initiation of therapy and time at which the patient was able to function independently. The results were as follows:
Physical
Therapy
Program
Psychiatric Treatment
в с
A
D
11.0
9.4
12.5
13.2
I
9.6
9.6
11.5
13.2
10.8
9.6
10.5
13.5
10.5
10.8
10.5
15.0
II
11.5
10.5
11.8
14.6
10.5
11.5
12.0
14.0
12.0
11.5
11.8
12.8
III
11.5
11.5
11.8
13.7
11.8
12.3
12.3
13.1
11.5
9.4
13.7
14.0
IV
11.8
9.1
13.5
15.0
10.5
10.8
12.5
14.0
11.0
11.2
14.4
13.0
V
11.2
11.8
14.2
14.2
10.0
10.2
13.5
13.7
11.2
10.8
11.5
11.8
VI
10.8
11.5
10.2
11.5
12.8
11.8
10.2
12.0
a. What experimental design is most appropriate to use?
b. What are the factors considered?
c. How many levels are there per factor?
d. What is the response variable?
Transcribed Image Text:Researchers at a trauma center wished to develop a program to help brain-damaged trauma victims regain an acceptable level of independence. An experiment involving 72 subjects with the same degree of brain damage was conducted. The objective was to compare different combinations of psychiatric treatment and physical therapy. Each subject was assigned to one of 24 different combinations of four types of psychiatric treatment and six physical therapy programs.There were three subjects in each combination. The response variable is the number of months elapsing between initiation of therapy and time at which the patient was able to function independently. The results were as follows: Physical Therapy Program Psychiatric Treatment в с A D 11.0 9.4 12.5 13.2 I 9.6 9.6 11.5 13.2 10.8 9.6 10.5 13.5 10.5 10.8 10.5 15.0 II 11.5 10.5 11.8 14.6 10.5 11.5 12.0 14.0 12.0 11.5 11.8 12.8 III 11.5 11.5 11.8 13.7 11.8 12.3 12.3 13.1 11.5 9.4 13.7 14.0 IV 11.8 9.1 13.5 15.0 10.5 10.8 12.5 14.0 11.0 11.2 14.4 13.0 V 11.2 11.8 14.2 14.2 10.0 10.2 13.5 13.7 11.2 10.8 11.5 11.8 VI 10.8 11.5 10.2 11.5 12.8 11.8 10.2 12.0 a. What experimental design is most appropriate to use? b. What are the factors considered? c. How many levels are there per factor? d. What is the response variable?
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