Statistics: Design and Analysis with Several Factors - 22 Design of Experiment Assume that four replications were made for the human comfort study provided in Table 3. Table 3. Practice Problem for a 22 Factorial Design of Experiment Questions Calculate the main and the interaction effects Calculate the estimates for A, B, and AB Write down the estimated regression equation Calculate the Sum of Squares Develop the ANOVA Table Interpret the effects in the context of the problem
Statistics: Design and Analysis with Several Factors - 22 Design of Experiment Assume that four replications were made for the human comfort study provided in Table 3. Table 3. Practice Problem for a 22 Factorial Design of Experiment Questions Calculate the main and the interaction effects Calculate the estimates for A, B, and AB Write down the estimated regression equation Calculate the Sum of Squares Develop the ANOVA Table Interpret the effects in the context of the problem
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Question
Statistics: Design and Analysis with Several Factors - 22 Design of Experiment
Assume that four replications were made for the human comfort study provided in Table 3.
Table 3. Practice Problem for a 22 Factorial Design of Experiment
Questions
Calculate the main and the interaction effects
- Calculate the estimates for A, B, and AB
- Write down the estimated regression equation
- Calculate the Sum of Squares
- Develop the ANOVA Table
- Interpret the effects in the context of the problem
- Which effects are likely to be significant based on the effect calculation? Why?
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Dependent
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Factor B
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(Comfort)
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Transcribed Image Text:Independent Variables or Factors are the most
Dependent
Variable
common in DOE
Factor B
Response
(Comfort)
Factor A
Treatment
(Temperature, °F)
Coding System
(Humidity, %)
Coding System
Combinations
yi y2 y3 y4
Low
-1
(1)
High
6.
6.
6.
7.
+
+1
a
Low
-1
2
35
b
1
High
ab
9.
9.
+
+1
10
35
9.
10
O o o a
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