LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

AC 22

B.Sc. DEGREE EXAMINATION – STATISTICS

SIXTH SEMESTER – APRIL 2007

ST 6600 DESIGN AND ANALYSIS OF EXPERIMENTS

Date & Time : 16.04.2007/9.00-12.00 Dept. No. Max. : 100 Marks

SECTION A

Answer ALL questions. Each carries TWO marks. 10 X 2 = 20

Give an example of a Contrast.
Write the number of error degrees of freedom in a Latin Square Desgin of order 4.
When do you recommend RBD instead of CRD ?
Give the model representing one way classified data.
Write all possible treatment combinations in a design.
What is confounding ?
Give a consistent set of values for the parameters involved in a BIBD.
Write the contrast defining highest order interaction in design.
What is a generalized effect ?
What is an Incidence matrix ?

SECTION B

Answer any FIVE. Each carries EIGHT marks. 5 X 8 = 40

Estimate the block effects in two way statistical model.
Show that the mean of available values can be taken as the missing value when a single observation is missing in CRD.
Explain the preparation of a Randomised Block design with 4 blocks and 3 treatments.
Explain how various sums of squares are computed in design.
Explain Yates method of computing various sums of squares in design.
Show that (under usual notations).
Illustrate with an example of your choice how partial confounding is executed in designs.
Obtain the factorial effect of the highest order interaction in three different ways known to you in the case 2³ design.

SECTION C

Answer any TWO. Each carries TWENTY MARKS marks. 2 X 20 = 40

With the help of a suitable statistical model illustrate how block differences are

made to contain a confounded treatment effect.

(b) Show that is always non-singular where is the incidence matrix of a BIBD.

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