Statistics: Design and Analysis with Several Factors - 22 Design of ExperimentAssume that four replications were made for the human comfort study provided in Table 3.Table 3. Practice Problem for a 22 Factorial Design of ExperimentQuestionsCalculate the main and the interaction effectsCalculate the estimates for A, B, and ABWrite down the estimated regression equationCalculate the Sum of SquaresDevelop the ANOVA TableInterpret the effects in the context of the problemWhich effects are likely to be significant based on the effect calculation? Why? Independent Variables or Factors are the mostDependentVariablecommon in DOEFactor BResponse(Comfort)Factor ATreatment(Temperature, °F)Coding System(Humidity, %)Coding SystemCombinationsyi y2 y3 y4Low-1(1)High6.6.6.7.++1aLow-1235b1Highab9.9.++110359.10O o o a

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 2CYU

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Question

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?