LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

SIXTH SEMESTER – APRIL 2012

ST 6603/ST 6600 – DESIGN & ANALYSIS OF EXPERIMENTS

 

 

 

Date : 16-04-2012              Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

PART – A

Answer ALL the questions:                                                                                 (10 x 2 = 20 marks)

 

1. Define: Linear contrast and give an example of the same.
2. Write down the mathematical model of a LSD.
3. Mention how the principle of randomization is achieved in a completely randomized design.
4. Give the skeleton ANOVA table for one-way classification.
5. State the number of degrees of freedom associated with error in the analysis of  6 x 6 LSD.

 

1. When do you recommend RBD?
2. Write all possible treatment combinations in a design.
3. Mention the difference between Partial and Total confounding.
4. Write the factorial effect corresponding to in design.
5. Write down all possible first order interactions in a 2³ experiment.

 

PART – B

Answer any FIVE Questions:                                                                                   (5 x 8 = 40  marks)

 

1. Write a descriptive note on Local Control.
2. Obtain the Least Squares Estimators of the parameters of a RBD.
3. Describe the linear model suitable for one way classified data and estimate the parameters in it.
4. Derive the formula for estimating the missing value in a RBD when one observation is missing.
5. Present the ANOVA table for a k x k LSD and explain the test for equality of treatment effect.
6. Explain Yates method of computing  in the case of a design.
7. Explain the terms: Quadratic Effect and Linear Effect in the case of a factorial design involving two factors with three levels each.
8. State and prove Fisher’s inequality associated with BIBD.

 

 

(P.T.O)                       

 

 

 

 

 

PART – C

Answer any TWO Questions:                                                                                  (2 x 20 =40 marks)

 

1. Describe in detail the preparation of layout for a Randomized Block Design and the steps involved in its analysis.
2. Describe fully the analysis of a factorial design.
3. Explain Balanced Incomplete Block Design and describe in detail the intra-block analysis for the same.
4. (a) Explain the analysis of experimental design wherein the highest order interaction effect

is totally confounded.

(b) Explain : (i) Duncan’s Multiple Range Test          (ii) Cochran’s Theorem.

 

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