Describe the two-factor experimental design

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Question: A two-factor experimental design was carried out, with factors A and B both categorical variables taking three values. Each treatment was applied four times and the following response values were obtained.

552_Design.png

Suppose we assume the normal regression model for these data with two categorical predictors.

(a) Produce a side-by-side boxplot for the data for each treatment.

(b) Produce a table of cell means.

(c) Produce a normal probability plot of the standardized residuals and a plot of the standardized residuals against each treatment combination (code the treatment combinations so there is a unique integer corresponding to each). Comment on the validity of the model.

(d) Construct the ANOVA table testing first for no interaction between A and B and, if necessary, an effect due to A and an effect due to Be Based on the results of part (d), construct the appropriate table of means.

Reference no: EM131754035

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