LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

AF 01

FOURTH SEMESTER – April 2009

ST 4805 – APPLIED EXPRIMENTAL DESIGN

 

 

 

Date & Time: 18/04/2009 / 9:00 – 12:00       Dept. No.                                                       Max. : 100 Marks

 

 

 

SECTION – A

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

 

1. What is meant by non statistical principle of experimental design?
2. Briefly explain the term Random effect model with an example .
3. When do we go in for factorial design ?
4. State the minimal function for 5² factorial design.
5. Define the “term irreducible polynomial”.
6. State the formula for a missing value in a LSD ?
7. Define the term Aliases with an example .
8. Distinguish between RLSD and LSD.
9. Give any two advantages of BIBD.

10.Write the homogeneous equation for the highest order interaction in the case of 2⁴

       factorial design.

 

SECTION-B

 

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

 

11. Explain the term “Effiency of LSD relative to RBD” with suitable illustration
12. Define linear contrast show that in 2⁵ designs the main effects and interaction

effects are mutually orthogonal.

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

hypothesis, ANOVA and conclusions.

14.Develop the analysis of variance for a 2⁴ fractional design in which the highest

order interaction is confounded in all the replications

15. If G (F) = pⁿ when p = 11 and n = 1 list the elements of the finite field

and explain all the operations with suitable example.

16. State clearly the model used in the case of Youden Square and construct a real life

example.

17. Derive the minimal function for 2³ experiment and hence list the power cycle.
18. State and prove all the parametric conditions of a BIBD.

 

 

 

 

 

 

SECTION-C

 

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

 

19.a) Discuss in detail the applications of the finite field with suitable illustrations.

1. b) 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.

(8 +12-Marks)

20.a) When do we go for Split plot design? Explain with an example.

 

1. b) Develop the Analysis of variance for the Split-plot design stating all the

hypothesis ANOVA and Inferences.                                            (8 +12-Marks)

 

21 a) Distinguish between Lattice Square and Lattin square designs.

1. b) Explain the m-ple Lattice Square design and hence construct lattice square design

when the block size k=5.                   (8+12-Marks)

 

22 Write shorts on the following

1. Critical difference
2. PBIBD
3. Response surface design
4. Primitive root (5+5+5+5-Marks)

 

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