Question: Please help me formulate a response to the question below. Using standard 2^3 FACTORIAL DESIGN, the effect of diet restriction (Factor A), probiotic treatment (Factor

Please help me formulate a response to the question below.

Using standard 2^3 FACTORIAL DESIGN, the effect of diet restriction (Factor A), probiotic treatment (Factor B) and antacid treatment (Factor C) are used to study the healing of stomach ulcers. The magnitude of healing is obtained as the response variable and is assumed to be a normal variable. Write the general equation for estimating contrast for antacid effect (factor C) and probiotic- diet (AB) interaction. The contrast for the significant factors are obtained as follows, with sample size of 10: For probiotics: -95; For probiotic x antacid interaction: 71; For probiotic x diet interaction: -142; For diet x antacid interaction: -41; For probiotic x antacid x diet interaction: -65 Average of all responses: 6 Other effects are not shown to be significant based on ANOVA and can be ignored. Using this information, estimate the effect of these above factors, and write the equation for the response surface. Define all the terms you use here.

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