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5. Consider a CRD with p-4 treatments and n = 20 observations. Our interest is i

ID: 3353401 • Letter: 5

Question

5. Consider a CRD with p-4 treatments and n = 20 observations. Our interest is in finding a confidence interval for the contrast 1+T2-Ts- (a) Consider a balanced design where ni = n2 = n3 = n4-5. Find the theoretical variance for the estimator of this contrast. (b) Consider an unbalanced design where ni ,n2 , n3-6, and n4-4. Find the theoretical variance for the estimator of this contrast. (c) Based on parts (a) and (b), what do you think is the best way to allocate sample sizes to minimize variance?

Explanation / Answer

5)

c) CRD is used when the data is homogenous ,In which the treatments are allocated randomly .For hetrogenous data use RBD which include randomization and local control.So inorder to minimize the variance make assure that your and is strictly homogenous.And also to minimize the variance it is important to make asure that randomization is done properly.

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