Statistics: Design and Analysis with Several Factors - 22Design of Experiment Assume that four replications were made for the human comfort study provided in table of Factors.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? (The answer is shown on another picture, I only need the solution) Extracted 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 aExtracted 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

Statistics: Design and Analysis with Several Factors - 2 2 Design of Experiment Assume that four replications were made for the human comfort study provided in table of Factors. Practice Problem for a...

Statistics: Design and Analysis with Several Factors - 2²Design of Experiment

Assume that four replications were made for the human comfort study provided in table of Factors.
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?

(The answer is shown on another picture, I only need the solution)

Independent Variables or Factors are the most<br>Dependent<br>Variable<br>common in DOE<br>Factor B<br>Response<br>(Comfort)<br>Factor A<br>Treatment<br>(Temperature, °F)<br>Coding System<br>(Humidity, %)<br>Coding System<br>Combinations<br>yi y2 y3 y4<br>Low<br>-1<br>(1)<br>High<br>6.<br>6.<br>6.<br>7.<br>+<br>+1<br>a<br>Low<br>-1<br>2<br>35<br>b<br>1<br>High<br>ab<br>9.<br>9.<br>+<br>+1<br>10<br>35<br>9.<br>10<br>O o o a<br>

Extracted 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
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

Source<br>DF SS<br>MS<br>F-Value<br>Temperature<br>Humidity<br>Temperature*Humidity 1<br>Error<br>225.000 225.000 600.00<br>32.67<br>10.67<br>1<br>12.250<br>12.250<br>4.000<br>4.000<br>12<br>4.500<br>0.375<br>Total<br>15 245.750<br>

Extracted 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

Jun 09, 2022

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