Reanalyze the experiment in Problem 13-14 assuming the unrestricted form of the mixed model. You may use a computer software package to do this. Comment on any differences between the restricted and unrestricted model analysis and conclusions.

Problem 13-14

A process engineer is testing the yield of a product manufactured on three machines. Each machine can be operated at two power settings. Furthermore, a machine has three stations on which the product is formed. An experiment is conducted in which each machine is tested at both power settings, and three observations on yield are taken from each station. The runs are made in random order, and the results follow. Analyze this experiment, assuming that all three factors are fixed.

 

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Machine 1 Machine 2 Machine 3 Station 1 2 3 1 2 3 1 2 3 34.1 33.7 36.2 31.1 33.1 32.8 32.9 33.8 33.6 Power setting 1 30.3 34.9 36.8 33.5 34.7 35.1 33.0 33.4 32.8 31.6 35.0 37.1 34.0 33.9 34.3 33.1 32.8 31.7 24.3 28.1 25.7 24.1 24.1 26.0 24.2 23.2 24.7 Power setting 2 26.3 29.3 26.1 25.0 25.1 27.1 26.1 27.4 22.0 27.1 28.6 24.9 26.3 27.9 23.9 25.3 28.0 24.8