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 - Factor Factorial Experiment In a two - level, three - factor factorial experiment with three replicates, the following data was collected: Using the provided equations for calculating main effects and interactions, determine the main effect of 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: Combination Factors` Factors Factors A B C (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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