LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

FOURTH SEMESTER – APRIL 2012

ST 4809 / 4805 – APPLIED EXPERIMENTAL DESIGN

 

 

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

Time : 1:00 – 4:00

 

SECTION – A

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

 

1. Define fixed effect model with an example.

2. List the principles of experimental design.

1. Define orthogonal contrasts with suitable illustration.
2. State the model used in LSD.
3. State the power cycle  for 3² factorial design.
4. Briefly explain the term sub-plot treatments.
5. Define the term Simple Lattice with an example .
6. State the parametric conditions of a BIBD.
7. Give any two advantages of confounding.
8. What is meant by surfaces ?

 

SECTION-B

 

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

 

11. Explain how you would analyse a randomized block design.
12. Describe, the analysis of variance for a 2⁵ factorial design, stating all the

hypothesis, ANOVA and conclusions

13. Discuss in detail fractional(half) factorial design with suitable illustration.
14. Describe the analysis of completely confounded 2⁴ factorial design in which the highest order

interaction is confounded stating all the  hypothesis, Anova and conclusions.

15. Discus in detail the importance and the analysis of a SPLIT-Plot design.
16. Construct a Youden Square, when the number of treatments is equal to seven.
17. Distinguish between RBD and BIBD with suitable illustration.
18. Explain the term key block with an example.

 

 

 

 

SECTION-C

 

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

 

19.a) Describe, the analysis of  variance for a 3² factorial design, stating all the

hypothesis, anova and conclusions.

b)Construct Mutually orthogonal Latin squares (MOLS), when the number of treatments is equal to

five.                                                                                                                                 (10+10 Marks)

 

20. a) Explain the the method of Steepest ascent, with neat diagram.
21. b) Discuss the first order and second order response surface designs.(8+12 Marks)

 

21. a) Construct a PBIBD with 3 associate classes stating all the parametric conditions
22. b) Explain the Group divisible design. (12+8-Marks)

 

22 Write shorts on the following

1. Incomplete block design
2. Replication
3. Industrial applications of experimental designs
4. FERMAT’S theorem. (5+5+5+5-Marks)

 

 

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