LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
M.Sc. DEGREE EXAMINATION – STATISTICS
FOURTH SEMESTER – APRIL 2012
ST 4809 / 4805 – APPLIED EXPERIMENTAL DESIGN
Date : 16-04-2012 Dept. No. Max. : 100 Marks
Time : 1:00 – 4:00
SECTION – A
Answer all the questions: (10 x 2 = 20 marks)
- Define fixed effect model with an example.
- List the principles of experimental design.
- Define orthogonal contrasts with suitable illustration.
- State the model used in LSD.
- State the power cycle for 32 factorial design.
- Briefly explain the term sub-plot treatments.
- Define the term Simple Lattice with an example .
- State the parametric conditions of a BIBD.
- Give any two advantages of confounding.
- What is meant by surfaces ?
SECTION-B
Answer any Five questions: (5 x 8 = 40 marks)
- Explain how you would analyse a randomized block design.
- Describe, the analysis of variance for a 25 factorial design, stating all the
hypothesis, ANOVA and conclusions
- Discuss in detail fractional(half) factorial design with suitable illustration.
- Describe the analysis of completely confounded 24 factorial design in which the highest order
interaction is confounded stating all the hypothesis, Anova and conclusions.
- Discus in detail the importance and the analysis of a SPLIT-Plot design.
- Construct a Youden Square, when the number of treatments is equal to seven.
- Distinguish between RBD and BIBD with suitable illustration.
- Explain the term key block with an example.
SECTION-C
Answer any Two questions: (2 x 20 = 40 marks)
19.a) Describe, the analysis of variance for a 32 factorial design, stating all the
hypothesis, anova and conclusions.
b)Construct Mutually orthogonal Latin squares (MOLS), when the number of treatments is equal to
five. (10+10 Marks)
- a) Explain the the method of Steepest ascent, with neat diagram.
- b) Discuss the first order and second order response surface designs.(8+12 Marks)
- a) Construct a PBIBD with 3 associate classes stating all the parametric conditions
- b) Explain the Group divisible design. (12+8-Marks)
22 Write shorts on the following
- Incomplete block design
- Replication
- Industrial applications of experimental designs
- FERMAT’S theorem. (5+5+5+5-Marks)