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In: Statistics and Probability

A split-plot experiment was conducted in a completely randomized design with whole-plot treatments as a 2x2...

A split-plot experiment was conducted in a completely randomized design with whole-plot treatments as a 2x2 factorial (factors A and B) and the subplot treatments as three levels of factor C. There are four whole-plot replicants per whole plot treatment. Assume all treatment effects were fixed and include all interactions between factors.

1. Write the linear model for the experiment. Identify each of the model effects/components and list the number of levels for each effect. Make sure to specify which effects are random and which are fixed.

2. Create the ANOVA table for the experiment, just including the name of the source, degrees of freedom, and expected mean squares

3. Write out the appropriate F-ratio for each of the treatment effects and all interactions.

Solutions

Expert Solution

1. Write the linear model for the experiment. Identify each of the model effects/components and list the number of levels for each effect. Make sure to specify which effects are random and which are fixed.

2. Create the ANOVA table for the experiment, just including the name of the source, degrees of freedom, and expected mean squares

3. Write out the appropriate F-ratio for each of the treatment effects and all interactions.

Fa = MSa/MSsplit plot error

Fb = MSb/MSsplit plot error

Fab = MSab/MSsplit plot error

orchestra answered 2 years ago
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