Commercial eggs produced from different housing systems. In the production of commercial eggs in Europe, four different types of housing systems for the chickens are used: cage, barn, free range, and organic. The characteristics of eggs produced from the four housing systems were investigated in Food Chemistry (Vol. 106, 2008). Twenty-four commercial grade A eggs were randomly selected-six from each of the four types of housing systems. Of the six eggs selected from each housing system, three were Medium weight class eggs and three were Large weight class eggs. The data on whipping capacity (percent overrun) for the 24 sampled eggs are shown in the next table. The researchers want to investigate the effect of both housing system and weight class on the mean whipping capacity of the eggs. In particular, they want to know whether the difference between the mean whipping capacity of medium and large eggs depends on the housing system
1. Write the complete regression model for this experiment.
2. Write the reduced model you would use to test interaction between the two factors.
3. Analyze the responses of the experiment using the complete and reduced models.