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 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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Chapter10: Statistics
Section10.1: Measures Of Center
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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
  1. Calculate the Sum of Squares
  2. Develop the ANOVA Table
  3. Interpret the effects in the context of the problem. Which effects are likely to be significant based on the effect calculation? Why?

(The answer is given in the second picture, I only need the solution)

Source
DF SS
MS
F-Value
Temperature
Humidity
Temperature*Humidity 1
Error
225.000 225.000 600.00
32.67
10.67
1
12.250
12.250
4.000
4.000
12
4.500
0.375
Total
15 245.750
Transcribed Image Text:Source DF SS MS F-Value Temperature Humidity Temperature*Humidity 1 Error 225.000 225.000 600.00 32.67 10.67 1 12.250 12.250 4.000 4.000 12 4.500 0.375 Total 15 245.750
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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