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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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

  1. Calculate the estimates for A, B, and AB
  2. Write down the estimated regression equation
  3. Calculate the Sum of Squares
  4. Develop the ANOVA Table
  5. Interpret the effects in the context of the problem
  6. Which effects are likely to be significant based on the effect calculation? Why?
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
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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