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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034
M.Sc.DEGREE EXAMINATION -STATISTICS
FOURTH SEMESTER APRIL 2018
16PST4MC01 ST 4813 APPLIED EXPERIMENTAL DESIGNS
Date: 18-04-2018 Dept. No. Max. 100 Marks
Time: 01:00-04:00
SECTION A
Answer ALL the questions (10 x 2 20 Marks)
1. In a 22 factorial design with 40, ab=42 obtain the interaction effect AB.
2. Write the regression model for a 22 design with low level and high level represented by
and 1.
3. What is the Expectation of Mean Sum of Squares due to treatment in a Latin Square
Design with p rows?
4. Verify whether the following could be the parameters of a BIBD.
1 . Justify.
5. Write the expression for a residual in a Randomized Block Design.
6. Explain the application of half normal probability plot.
7. Explain confounding in factorial design.
8. Define orthogonal contrast. Write the expression for a sum of squares due to a contrast.
9. Explain the need for 32design.
10. Define a concomitant variable.
SECTION B
Answer any FIVEquestions(5 x 8 40 Marks)
11. Write the linear model used for a Graeco Latin Square Design. Also write the ANOVA
table.
12. Write the 3 orthogonal Latin Squares of order 4 using GF
13. Explain the uses of a contour plot and response surface in a factorial design.
14. Write the analysis of a 2 factor model with random effects.
15. In a 32 factorial design the following results are obtained in a single replication.
Levels
A
0 1 2
B
0 2 1
1 2
2 1 1 1
Obtain the sum of squares due to AB and AB2.
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16. In a 24 factorial experiment the principal block is given by ad, ab, abcd. Write down the other blocks and the confounded effects.
17. Explain the method of analysis for ANCOVA in a Completely Randomized Design.
18. Explain the different methods of confirming the results in a fractional factorial design.
SECTION C
Answer any TWOquestions(2 x 20 40 Marks)
19. Explain the analysis of a Randomized Block Design.
Obtain the efficiency of a Randomized Block Design over completely Randomized
Design.
20. Explain the analysis of a 23factorial in a Latin Square Design.
Explain how will you construct 26-2 design by using I=ABCE and I=BCDF as the
generators.
21. Explain the analysis of a BIBD.
22. Explain the analysis of a spilt plot design.
Explain split split plot design and strip plot design.