LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

SIXTH SEMESTER – APRIL 2011

ST 6603/ST 6600 – DESIGN & ANALYSIS OF EXPERIMENTS

 

 

 

Date : 05-04-2011              Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

SECTION – A

Answer ALL the questions                                                                                                 (10 X 2 = 20 Marks)

 

1. State the assumptions used in a linear model.
2. Distinguish between pair-wise and non-pair-wise contrasts.
3. What do you mean by randomization in experimental designs?
4. State the assumptions for ANOVA.
5. What are the demerits of a completely randomized design?
6. Give the layout of a 4 x 4 Latin Square Design.
7. What is meant by a factorial experiment?
8. What are the advantages of confounding?
9. What is meant by incomplete block designs?
10. When do we go for a BIBD?

SECTION – B

Answer any FIVE questions                                                                                      (5 x 8 = 40 Marks)

 

11. In what way are contrasts helpful in the analysis of experimental data?
12. Give the statistical analysis of a two-way classification.
13. Derive the expression to measure the efficiency of RBD over CRD
14. What is Latin Square Design? Carry out the analysis of LSD.
15. Explain the least square method of estimating one missing observation in a LSD.
16. Explain in detail the analysis of 2² factorial experiment.
17. Give the analysis of 3² factorial experiment.
18. Develop the intra-black analysis of a BIBD.

SECTION – C

Answer any TWO questions                                                                                  (2 x 20 = 40 Marks)

 

1. a) Discuss clearly between one-way and two-way classifications of analysis of

variance.

 

1. b) Describe in detail analysis of variance in one-way classification with suitable

examples.

 

1. a) What is missing plot technique?  Derive the formula for missing value when one

observation is missing in the case of LSD.

 

1.   b) Discuss briefly the advantages and disadvantages of a Latin Square Design.

 

21.   a) Distinguish between  Complete and Partial Confounding.

 

1.     b) Give the Yates method of computing the factorial effects in a 2³ factorial experiment.

 

1. a) Explain a BIBD with suitable illustration.

 

1. b) Develop the inter – block analysis of a BIBD stating the model, Hypothesis, ANOVA

and inference.

 

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