Analysis Of Main Effects And Interaction Effects In a Two-Level, Three-Factor Factorial Experiment

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Analysis of Main Effects and Interaction Effects in a Two-Level, Three-FactorFactorial ExperimentIn a two-level, three-factor factorial experiment with three replicates, the following data wascollected:Using the provided equations forcalculating main effects and interactions, determine the main effectof factor A and the interaction effect between factors B and C.Solution for Ques 2:The two–level 3-factorial Experiment Design Pattern is given by:CombinationFactors`FactorsFactorsABC(1)---a+--b-+-ab++-c--+ac+-+bc-++abc+++Thus,A=[-1+a-b+ab-c+ac-bc+abc]/4n→(1)B=[-1-a+b+ab-c-ac+bc+abc]/4n→(2)C=[-1-a-b-ab+c+ac+bc+abc]/4n→(3)AB=[1-a-b+ab+c-ac-bc+abc]/4n→(4)BC=[1+a+b-ab-c-ac+bc+abc]/4n→(5)AC=[1-a+b-ab-c+ac-bc+abc]/4n→(6)ABC=[-1+a+b-ab+c-ac-bc+abc]/4n→(7)

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