LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

FIFTH SEMESTER – NOVEMBER 2012

ST 5506/ST 5502 – APPLIED STATISTICS

 

 

 

Date : 06/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

PART – A

Answer ALL the questions:                                                                                 (10X2=20 Marks)

 

1. Mention any two uses of index numbers.
2. Define Laspeyre’s and Paasche’s index numbers.
3. Explain the concept of business cycle.
4. Mention the different types of time series models for the component combinations.
5. State any two uses of vital statistics.
6. Define total fertility rate.
7. Define partial correlation coefficient.
8. Given r₁₂ = 0.77, r₁₃= 0.72, r₂₃= 0.52, find R₂₃
9. What is forest statistics?
10. Define national income.

 

PART – B

 

Answer any FIVE questions                                                                                (5X8=40 Marks)

11. Explain the tests to be satisfied by a good index number. Show that Fisher’s Index number is an Ideal Index number.
12. What is meant by (a) splicing (b) deflating and (c) base shifting of index numbers?
13. Explain link relative method to measure seasonal fluctuations.
14. Explain fitting of a second degree parabola by the method of least squares.
15. What is life table? Briefly outline the uses of life table.
16. Define gross and net reproduction rates. Discuss the steps for estimating the net reproduction rate.
17. Discuss the methods of national income estimation.
18. Write short notes on (i) De Facto method (ii) De Jure method.

P.T.O]

PART – C

Answer any TWO questions:                                                                              (2X20=40 Marks)

1. (a) Discuss the problems and precautions in the construction of an index number.

(b) What are the uses of consumer price index number? Calculate the CPI using the following data:

Items	Index Number	Weight
Food	352	48
Fuel	220	10
Clothing	230	8
Rent	160	12
Miscellaneous	190	15

 

20. (a) Briefly explain the components of time series.

(b) Explain Ratio to Moving Average method for determining seasonal index.

 

21. (a) Explain the various mortality rates used in vital statistics and discuss their relative merits.

(b) Estimate the standardized death rates for the two countries from the data given below:

Age group (in years)	Death Rate per 1000		Standardised Population (in lakhs)
	Country A	Country B
0 – 4	20.00	5.00	100
5 – 14	1.00	0.50	200
15 – 24	1.40	1.00	190
25 – 34	2.00	1.00	180
35 – 44	3.30	2.00	120
45 – 54	7.00	5.00	100
55 – 64	15.00	12.00	70
65 – 74	40.00	35.00	30
75 and above	120.00	110.00	10

 

22. (a) Write short notes on (i) Central Statistical Organisation

(ii) National Sample Survey Organisation

(b) Define (i) Partial Regression (ii) Multiple Correlation (iii) Multiple Regression

 

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