Design of experiment


Question 1:

a) Define the given terms with:

• Determinant of Matrix
• Idem potent Matrix
• Characteristic roots of a Matrix
• Derivative of a Matrix

b) Describe the rank under conditions of a linear model in deciding its uniformity.

Question 2:

a) State and prove the Cuctroms theorems.

b) Describe the role of Cornley – Hamilton theorem.

Question 3:

a) State and prove the Gauss-Markov theorem.

b) What is the estimability of the parametric function? Describe with an illustration.

Question 4:

a) Describe the testing procedure related with the equality of K means.

b) Describe the F-test related with the analysis of covariance with one way classified data.

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Basic Statistics: Design of experiment
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