LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

NO 50

FOURTH SEMESTER – APRIL 2008

ST 4805 – APPLIED EXPRIMENTAL DESIGN

 

 

 

Date : 16-04-08                  Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION – A

Answer all the questions                                                          (10 x 2  = 20 marks)

 

1. Briefly explain the term “Randomization”
2. Define mutually orthogonal contrast with an example.
3. Give sum of squares for 3 factors interaction for 3³ Factorial Design.
4. If G(F) = pⁿ where p = 5 and n = 1, list the elements of the finite field.
5. When do we go for confounding Design?.
6. What is meant by resolvable BIBD? Give an example.
7. Give any two advantages of fractional factorial design
8. Define a simple Lattice Square.
9. State any two parametric conditions of a BIBD.
10. What is meant by optimal surfaces?

 

SECTION-B

 

Answer any Five questions                                                         (5 x 8  = 40 marks)

11. Describe, the analysis of variance for a 3³ factorial design, stating all the

hypothesis, ANOVA and conclusions

 

12. Distinguish between FIXED EFFECT MODEL and RANDOM EFFECT MODEL with suitable

illustrations.

 

13. Construct a mutual mutually orthogonal Latin Square when the number of treatments v = 5.

 

14. When do go for a PBIBD? Explain briefly with an illustration.

 

15. Discuss in detail the various RESOLUTION DESIGNS.

 

16. Explain the term repeated Latin Square Design and hence construct 5 X 5 repeated Latin Square

Design.

 

17. Distinguish between ANOVA and ANOCOVA.

 

18. Explain the term SPLIT – PLOT and STRIP = PLOT with an example.

 

 

 

 

 

 

SECTION-C

 

Answer any Two questions                                                        (2 x 20  = 40 marks)

 

 

 

19. a) Distinguish between confounding and fractional replication.

 

1. b) Develop, the analysis of variance for a 2⁴ fractional factorial design, stating all the

hypothesis, ANOVA and conclusions

 

(10+10-Marks)

 

20. a) Construct a PBIBD with 2 associate classes, stating all the parametric conditions.

 

1. b) Discuss in detail the Linear and Quadratic Response Surface Designs stating the model analysis

and conclusions.

 

(10+10-Marks)

 

21. a) Discuss in detail confounding in MORE THAN TWO BLOCKS using finite field.
22. b) Construct BIBDs with v = 5 with k = 2,  k = 3 and k = 4.

(10+10-Marks)

 

22 Write shorts on the following

1. Local control
3. Partial confounding
4. Orthogonal Design.                                       (5+5+5+5-Marks)

 

 

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