AC 52

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

FOURTH SEMESTER – APRIL 2007

ST 4805 – APPLIED EXPERIMENTAL DESIGN

 

 

 

Date & Time : 16.04.2007/9.00-12.00   Dept. No.                                                                     Max. 100 Marks

 

 

SECTION – A

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

 

1. Give any two industrial applications of Experimental Designs.
2. Obtain the relative efficiency of RBD over CRD.
3. State the regression model for 2² factorial design.
4. Define a simple Lattice design, with an example.
5. Define the FINITE FIELD with an example.
6. Briefly explain any one of the principles of experimental designs.
7. What is meant by Whole-plot treatments?
8. State the parametric conditions of a BIBD.
9. Give any two advantages of Split-plot design.
10. When do we go for RLSD ?

 

SECTION-B

 

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

 

11. Discuss Fixed, Mixed and Random effect models with suitable illustrations.
12. Describe, the analysis of variance for a 2⁵ factorial design, stating all the

hypothesis, ANOVA and conclusions

13. Discuss half fractional factorial design with suitable illustration.
14. Construct a Lattice Square Design using  nine treatments.
15. Distinguish between RBD and BIBD with suitable illustration.
16. Show that all the treatment contrasts are mutually orthogonal in the case of 2³ factorial design.
17. Describe briefly the method of Steepest accent?
18. Explain the Analysis of Repeated Latin Square Design.

 

SECTION-C

 

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

 

19. a)Explain the term Complete Confounding with suitable illustration.

b)Describe in detail confounding in more than two blocks in which two independent and one generalized

interactions are confounded.                                                                                               (6+14-Marks)

 

 

20. a) Distinguish between the Analysis of RBD and the analysis of RBD when one observation is missing.
21. b) Derive the missing formula when two observations are missing in the case of RBD.

(10+10-Marks)

21. a) When do we go for BIBD? Construct a BIBD when the number of treatment v = 5.
22. b) Develop the analysis of variance for a BIBD, stating all the  hypothesis, ANOVA and conclusions.

(3+5+12-Marks)

22 Write shorts on the following

1. MOLS
2. Galois Field
3. Biological applications of experimental designs
4. Homogenous Equations                                                                   (5+5+5+5-Marks)

 

 

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