a. What experimental design is most appropriate to use in the given problem? b. How many levels are there in the given factor? c. What is the response variable of the given problem?

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In a study by Wang et al. (A-6), researchers examined bone strength. They collected 10 cadaveric femurs from subjects in three age groups: young (19-49
years), middle-aged (50-69 years), and
elderly (70 years or older) [Note: one value was missing in the middle-aged group]. One of the outcome measures (W ) was the force in newtons required to
fracture the bone. The following table
shows the data for the three age groups.
Young (Y)
Middle-aged (MA)
Elderly (E)
193.6
125.4
59.0
137.5
126.5
87.2
122.0
115.9
84.4
145.4
98.8
78.1
117.0
105.4
94.3
51.9
99.9
57.1
99.9
83.3
54.7
74.0
72.8
78.6
74.4
83.5
53.7
112.8
96.0
Source: Xiaodu Wang, Ph.D. Used with permission.
a. What experimental design is most appropriate to use in the given problem?
b. How many levels are there in the given factor?
c. What is the response variable of the given problem?
Transcribed Image Text:In a study by Wang et al. (A-6), researchers examined bone strength. They collected 10 cadaveric femurs from subjects in three age groups: young (19-49 years), middle-aged (50-69 years), and elderly (70 years or older) [Note: one value was missing in the middle-aged group]. One of the outcome measures (W ) was the force in newtons required to fracture the bone. The following table shows the data for the three age groups. Young (Y) Middle-aged (MA) Elderly (E) 193.6 125.4 59.0 137.5 126.5 87.2 122.0 115.9 84.4 145.4 98.8 78.1 117.0 105.4 94.3 51.9 99.9 57.1 99.9 83.3 54.7 74.0 72.8 78.6 74.4 83.5 53.7 112.8 96.0 Source: Xiaodu Wang, Ph.D. Used with permission. a. What experimental design is most appropriate to use in the given problem? b. How many levels are there in the given factor? c. What is the response variable of the given problem?
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