An experiment was conducted to compare six different management tech- niques (such as pruning, spraying and fertilizing)

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An Experiment Was Conducted To Compare Six Different Management Tech Niques Such As Pruning Spraying And Fertilizing 1 (69.66 KiB) Viewed 69 times

An experiment was conducted to compare six different management tech- niques (such as pruning, spraying and fertilizing) for apple trees with respect to yield. Each apple tree represents an experimental unit and the trial was laid out as a com- pletely randomized design with 5 replications for each management technique. All the trees underwent the same management practice before the trial. For each tree, the yield in bushels (2) for the four year period preceding the trial will be used as a covariate. At the end of the four year experimental period, the yield in pounds of apples (y) is obtained for every tree. Suppose the partial SAS Proc GLM printout is as follows: Source Treatments Previous yield Residual Total Type I SS 40 26 46 112 Type III SS 60 26 (a) (b) State the complete mathematical model appropriate for this experiment. Determine if there are differences among the management techniques after adjusting for previous yield using a= 0.05. Determine if the use of a covariate has been successful in reducing the variance for treatment comparisons using a = 0.05. (c)