Split plot designs What is the effects model? Model assumptions? Constraints? How to test the effects of factors? Question 15. An agricultural experiment, to test the effectiveness of certain crop stimulants on certain crops, is carried out as follows. Three 100 hectare plots of land are selected and randomly labelled 1,2,3. In plot 1, wheat is grown. In plot 2, rye is grown and in plot 3, canola is grown. Then each plot is divided into four 25 hectare fields and the four possible stimulants are applied, one to a field, in random order. This entire experiment is then replicated 4 times. 1. What is the name of the design being used here? 2. Viewing replicates as a random factor, clearly write down the effects model which you would use to analyze these data. Be sure to describe any constraints on, or distributions of the terms in your model. 3. Explain the terms in the model. 4. What are the test statistics for the tests of crops and stimulants? Split plot designs What is the effects model? Model assumptions? Constraints? How to test the effects of factors? Question 15. An agricultural experiment, to test the effectiveness of certain crop stimulants on certain crops, is carried out as follows. Three 100 hectare plots of land are selected and randomly labelled 1,2,3. In plot 1, wheat is grown. In plot 2, rye is grown and in plot 3, canola is grown. Then each plot is divided into four 25 hectare fields and the four possible stimulants are applied, one to a field, in random order. This entire experiment is then replicated 4 times. 1. What is the name of the design being used here? 2. Viewing replicates as a random factor, clearly write down the effects model which you would use to analyze these data. Be sure to describe any constraints on, or distributions of the terms in your model. 3. Explain the terms in the model. 4. What are the test statistics for the tests of crops and stimulants