LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

SUPPLEMENTARY SEMESTER EXAMINATION – JUN 2006

M.Sc. DEGREE EXAMINATION

BI 3800 - STATISTICAL APPLICATIONS IN BIOL. SCIENCES

Date & Time : 28/06/2006 /9.00 - 12.00

Dept. No. Max. : 100 Marks

Section-A

Answer All the Questions (10 x 2 = 20)

1.

State any two applications of Statistics in Bio-Medical sciences

2.

Explain ‘ quantitative variable’ with an example

3.

What is meant by primary data? Give examples

4.

Write down any four techniques of selecting samples.

5.

What is meant by frequency curve? Give an example

6.

Define ‘Non-Independent events’

7.

Mention any two applications of hypothesis testing.

8.

Distinguish between ‘Statistic’ and ‘parameter’.

9.

What is Regression? State its uses.

10.

In one-way ANOVA, sum of squares due treatments is 200, sum of squares due to error is 400 , error d.f is 10 and total d.f is 13. Find F-ratio value.

Answer Any Four

Section-B

(4 x 10 = 40)

(Draw diagrams wherever necessary).

11.

The following are the data pertaining to the age distribution of cases of a certain disease reported during a year in a particular state:

Calculate the Mean ,Mode age of the patients.

Age : 5 - 15 15 - 25 25 - 35 35 - 45 45 – 55 55 - 66

Number of cases : 10 8 8 20 19 7

12.

Explain the advantages of Co-efficient of Variation over Standard deviation

13.

Compute Mean Deviation about mean from the following data:6, 5, 7, 7, 10, 8, 3

14.

Explain the Scatter Diagram with appropriate illustration to study the linear relationship between two variables

15.

A certain intervention process is administered to each of 7 patients resulted in the following change in cholesterol level: 5 -6 -7 -8 -9 1 -5

Can it be concluded that the intervention will in general be accompanied by

decrease in cholesterol level? Test at 5% level.

726831771

16.

Write the step-by-step procedure of Hypothesis Testing. (OR) What are the advantages of representing data using Diagrams? Explain Multiple Bar and Pie-Chart with examples.

Section-C

Answer Any Two (2 x 20 = 40)

17. The bio-mass of 2 grassland strips were obtained from 9 replicates each. Calculate

mean and co-efficient of variation (C.V.) in each case and hence

Find a] which of the two sets has a better bio-mass

b] which of the two sets has a consistent result.

Strip I (Biomas in g/m

2

)

StripII (Biomas in g/m

2

)

45 48 45 48 55 51 57 58 52

39 45 55 63 37 65 37 65 57

18. The following scores were obtained from a psychiatric study to compare five

methods for re-motivating patients.

Initial Level

Nil

Very Low

I

68

47

II

45

86

III

67

89

IV

76

77

V

49

78

Low

Average

78

78

89

89

78

89

96

90

89

78

Do these data provide sufficient evidence to indicate a difference in mean scores among method? Let

=0.05.

19.In a nutrition study, the body mass index and the LDL cholesterol values were observed. a.

Compute the coefficient of correlation b.

Compute the coefficient of correlation c.

Construct the Regression equation and hence estimate the BMI when LDL is 80

BMI 23.68 25.71 27.39 30.07 27.39 27.24 25.01 26.19 27.53 26.53

LDL 92.20 76.10 74.20 85.20 93.80 104.8 85.40 100 98.80 92.40

20.. Explain any four types of data classification with appropriate illustrations

Page No. 2

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