experiment was conducted to study the effects of three fac- tors on the customer response rate for a particular product. The three factors are A type of mail used (3rd class, 1st class), B= type of descriptive brochure (color, black- and-white), and C= offered price ($19.95, $24.95). The mail- ings are made to two groups of 8000 randomly selected customers, with 1000 customers in each group receiving each treatment combination. Each group of customers is considered as a replicate. The response variable is the number of orders placed. The experimental data are shown in Table P6.6. De Asieh Abtahi - Faculty of Mathematics and Statistics nlamic Arad tiniversty of Shirat - Iran 11 Coded Factors Number of Orders Factor Levels Run А в с Replicate 1 Replicate 2 Low (-1) High (+1) 1 50 54 A (class) 3rd 1st В (уре) C (S) 44 42 BW Color 46 48 $19.95 $24.95 42 43 49 46 48 45 47 48 56 54 Dr. Asieh Abtahi - Faculty of Mathematics and Statistics lamic Asad Univensity of Shiraz- Iran a- Determine the response variable, factors (kind of factor), level, number of treatments, number of replications, number of experiments. b- Determine the type of design experiment. c- Write the model of design experiment. d- Enter the data e Analyze the residuals from this experiment. Are there IIII + + + + II + + II+ + I +I + I+I+ 5234S670

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Question
A company markets its products by direct mail. An
experiment was conducted to study the effects of three fac-
tors on the customer response rate for a particular product.
The three factors are A = type of mail used (3rd class,
1st class), B = type of descriptive brochure (color, black-
and-white), and C = offered price ($19.95, $24.95). The mail-
ings are made to two groups of 8000 randomly selected
customers, with 1000 customers in each group receiving each
treatment combination. Each group of customers is considered
as a replicate. The response variable is the number of orders
placed. The experimental data are shown in Table P6.6.
Dr. Asieh Abtahi - Faculty of Mathematics and Statistics
Islamic Azad university af Shiraz - Iran
11
Coded Factors
Number of Orders
Factor Levels
Run
A
В с
B
Replicate 1 Replicate 2
Low (-1) High (+1)
1
50
54
A (class)
3rd
1st
В (уpe)
C (S)
2
44
42
BW
Color
3
46
48
$19.95
$24.95
4
42
43
5
49
46
6
+
48
45
47
48
8
56
54
Dr. Asieh Abtahi - Faculty of Mathematics and Statistics
islamic Asad University of Shiraz - Iran
12
a- Determine the response variable, factors (kind of factor), level, number of treatments, number
of replications, number of experiments.
b- Determine the type of design experiment.
c- Write the model of design experiment.
d- Enter the data
e-
nalyze the residuals from this experiment. Are there
any indications of model inadequacy?
f- Analyze the data from this experiment. Which factors
significantly affect the customer response rate?
g- What would you recommend to the company?
Dr. Asieh Abtahi Faculty of Mathematics and Statistics
13
Islamic Azad university af Shiraz - Iran
h- Construct a response surface contour plot for customer
response. In what direction would you adjust the product.
variables to increase customer response
Transcribed Image Text:A company markets its products by direct mail. An experiment was conducted to study the effects of three fac- tors on the customer response rate for a particular product. The three factors are A = type of mail used (3rd class, 1st class), B = type of descriptive brochure (color, black- and-white), and C = offered price ($19.95, $24.95). The mail- ings are made to two groups of 8000 randomly selected customers, with 1000 customers in each group receiving each treatment combination. Each group of customers is considered as a replicate. The response variable is the number of orders placed. The experimental data are shown in Table P6.6. Dr. Asieh Abtahi - Faculty of Mathematics and Statistics Islamic Azad university af Shiraz - Iran 11 Coded Factors Number of Orders Factor Levels Run A В с B Replicate 1 Replicate 2 Low (-1) High (+1) 1 50 54 A (class) 3rd 1st В (уpe) C (S) 2 44 42 BW Color 3 46 48 $19.95 $24.95 4 42 43 5 49 46 6 + 48 45 47 48 8 56 54 Dr. Asieh Abtahi - Faculty of Mathematics and Statistics islamic Asad University of Shiraz - Iran 12 a- Determine the response variable, factors (kind of factor), level, number of treatments, number of replications, number of experiments. b- Determine the type of design experiment. c- Write the model of design experiment. d- Enter the data e- nalyze the residuals from this experiment. Are there any indications of model inadequacy? f- Analyze the data from this experiment. Which factors significantly affect the customer response rate? g- What would you recommend to the company? Dr. Asieh Abtahi Faculty of Mathematics and Statistics 13 Islamic Azad university af Shiraz - Iran h- Construct a response surface contour plot for customer response. In what direction would you adjust the product. variables to increase customer response
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