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)
- Mention any two uses of index numbers.
- Define Laspeyre’s and Paasche’s index numbers.
- Explain the concept of business cycle.
- Mention the different types of time series models for the component combinations.
- State any two uses of vital statistics.
- Define total fertility rate.
- Define partial correlation coefficient.
- Given r12 = 0.77, r13= 0.72, r23= 0.52, find R23
- What is forest statistics?
- Define national income.
PART – B
Answer any FIVE questions (5X8=40 Marks)
- Explain the tests to be satisfied by a good index number. Show that Fisher’s Index number is an Ideal Index number.
- What is meant by (a) splicing (b) deflating and (c) base shifting of index numbers?
- Explain link relative method to measure seasonal fluctuations.
- Explain fitting of a second degree parabola by the method of least squares.
- What is life table? Briefly outline the uses of life table.
- Define gross and net reproduction rates. Discuss the steps for estimating the net reproduction rate.
- Discuss the methods of national income estimation.
- Write short notes on (i) De Facto method (ii) De Jure method.
P.T.O]
PART – C
Answer any TWO questions: (2X20=40 Marks)
- (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 |
- (a) Briefly explain the components of time series.
(b) Explain Ratio to Moving Average method for determining seasonal index.
- (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 |
- (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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