LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.Sc. DEGREE EXAMINATION – STATISTICS

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)
 Define linear contrasts and given an example.
 State the assumptions in an analysis of variance.
 Write the model representing twoway classified data.
 Give a layout for 4 x 4 LSD.
 Write all possible treatment combinations in a 2^{3} design.
 What do you understand by a missing plot in a design of experiment?
 State the advantages of factorial experiments over single factor experiments.
 What is confounding?
 Define BIBD.
 State the parametric relations for the existence of a BIBD.
SECTION – B
Answer any FIVE questions: (5 x 8 = 40)
 Discuss the classification of linear models with suitable examples.
 Describe twoway classification in analysis of variance.
 Give the advantages and disadvantages of randomized block design.
 Explain how a missing value is estimated in Latin square design.
 Distinguish between complete and partial confounding with illustrations.
 Explain confounding in 2^{3} factorial experiment.
 Starting with a suitable linear model, obtain intra block analysis of BIBD.
 Obtain the efficiency of RBD over CRD.
SECTION – C
Answer any TWO questions: (2 x 20 = 40)
 a) What is random effects model? Give the complete analysis of random effects model.
 b) Explain the basic principles of design of experiments. (10+10)
 a) Carry out the complete analysis of a CRD.
 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)
 a) Discuss the analysis of a 3^{2} factorial design.
 b) Explain the purpose and principle of confounding in factorial experiments. (12+8)
 a) With usual parameters a, b, r, k, λ establish the three parametric relation of BIBD.
 b) Bring out the significance of recovery of interblock information in BIBD.
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