Statistics: Design and Analysis with Several Factors - 22Design 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? 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

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 3. Table 3. 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 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?

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

Jun 08, 2022

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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 3. Table 3. Practice Problem for a...

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