LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

NO 28

SIXTH SEMESTER – APRIL 2008

ST 6600 – DESIGN & ANALYSIS OF EXPERIMENTS

 

 

 

Date : 16/04/2008             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION – A

Answer ALL the questions:                                                              (10 x 2 = 20)

1. Define linear contrasts and given an example.
2. State the assumptions in an analysis of variance.
3. Write the model representing two-way classified data.
4. Give a layout for 4 x 4 LSD.
5. Write all possible treatment combinations in a 2³ design.
6. What do you understand by a missing plot in a design of experiment?
7. State the advantages of factorial experiments over single factor experiments.
8. What is confounding?
9. Define BIBD.
10. State the parametric relations for the existence of a BIBD.

 

SECTION – B

Answer any FIVE questions:                                                           (5 x 8 = 40)

1. Discuss the classification of linear models with suitable examples.
2. Describe two-way classification in analysis of variance.
3. Give the advantages and disadvantages of randomized block design.
4. Explain how a missing value is estimated in Latin square design.
5. Distinguish between complete and partial confounding with illustrations.
6. Explain confounding in 2³ factorial experiment.
7. Starting with a suitable linear model, obtain intra block analysis of BIBD.
8. Obtain the efficiency of RBD over CRD.

 

SECTION – C

Answer any  TWO questions:                                                           (2 x 20 = 40)

19. a) What is random effects model? Give the complete analysis of random effects model.
20. b) Explain the basic principles of design of experiments. (10+10)

1. a) Carry out the complete analysis of a CRD.

1. b) How is the efficiency of a design is measured. Derive the expression to measure the efficiency of a LSD over a RBD. (8+12)

1. a) Discuss the analysis of a 3² factorial design.

1. b) Explain the purpose and principle of confounding in factorial experiments. (12+8)

1. a) With usual parameters a, b, r, k, λ establish the three parametric relation of BIBD.

1. b) Bring out the significance of recovery of inter-block information in BIBD.

 

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