LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

FOURTH SEMESTER – APRIL 2011

ST 4809 / 4805 – APPLIED EXPERIMENTAL DESIGN

 

 

 

Date : 5/4/2011                Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

SECTION – A

 

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

 

1. State the linear model used in 2³ factorial design
2. Briefly explain the term Blocking.
3. When do we go for repeated L.S.D ?
4. State Fermat’s theorem.
5. Define the term linear contrast with an example.
6. State the missing formula for RBD.
7. Define a resolvable BIBD with an example .
8. Distinguish between RBD and BIBD.
9. Give any two advantages of factorial design.
10. State any two applications of response surface design.

 

SECTION-B

 

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

 

11. Distinguish between CRD and RBD and derive the efficiency of RBD over CRD.
12. Describe the analysis of variance for a GRAECO-LATIN SQUARE, stating all the

Hypothesis,  ANOVA and conclusions.

13. Define mutually orthogonal contrast and show that in 2³ design the

main effects and interaction effects are mutually orthogonal.

 

14. Discuss in detail the need for a Nested design with suitable illustration.
15. Describe, the analysis of variance for a 3³ factorial design, stating all the

hypothesis, ANOVA and conclusions.

16. Develop the analysis of variance for a 2⁴ completely confounded factorial design.
17. State clearly the model used in the case of Youden Square and construct a real life

example.

18. Describe in detail the LINEAR and QUADRATIC response surface Designs.

 

 

 

 

 

 

 

 

 

 

SECTION-C

 

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

 

 

 

19. Discuss in detail the real life scenario of application of experimental designs in
20. i) Agriculture ii) Industry  iii) Health sciences. (  6+7+7 marks)

 

 

20.a) Define the term key BLOCK in the case of  2⁵ factorial design of size 2³ in

which 2 independent interactions and 1 generalized interaction are Confounded

Discuss in detail using the required linear equations for the confounded effects.

 

1. b) State and prove any one of the parametric conditions of a BIBD

(15 +5-Marks)

 

21 a) When do we go for PBIBD?

1. b) Construct a PBIBD with 2 associate classes stating all the parametric conditions
2. c) Explain the m-ple Lattice Square design and hence construct lattice square design

when the block size k=3.                   (2+8+10-Marks)

 

22 Write short notes on the following

1. Replication
2. MOLS
3. Partial Confounding
4. Split plot (5+5+5+5-Marks)

 

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