LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

   B.Sc. DEGREE EXAMINATION – STATISTICS

FIFTH SEMESTER – NOVEMBER 2010

ST 5506/ST 5502 – APPLIED STATISTICS

 

 

 

Date : 03-11-10                     Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

Answer ALL the questions                                                                                            (10×2=20 Marks)

1. List out the different tests in index numbers.
2. Explain the deflating procedure of index numbers.
3. Define Time Series.
4. State the mathematical models applied in time series analysis.
5. What is meant by Specific Death Rates?
6. Define Life Table.
7. What do you mean by partial correlation and partial regression?
8. List out any three properties of multiple correlation co-efficient.
9. Write some functions of Central Statistical Organization.
10. State the merits of De Facto and De Jure methods.

 

PART – B

Answer any FIVE questions                                                                                     (5×8=40 Marks)

 

1. What is the difference between the Weighted and Unweighted Indices? Also explain the construction of index number by Unweighted Indices.
2. Describe cost of living index and also state its uses.
3. Explain the procedure of finding trend values using the method of least squares.
4. Describe the method of Ratio-to-Moving average to calculate seasonal indices.
5. Explain the various methods available for the measurement of population growth
6. In a tri-variate distribution:

σ₁ = 2; σ₂ = σ₃ = 3; r₁₂ = 0.7; r₂₃ = r₃₁ = 0.5.

Find: i) r_23.1     ii) R_1.23      iii) b_12.3      iv) b_13.2       v) σ_1.23

1. Write a note on National Sample Survey Organization.
2. Describe the national income and social accounting.

 

 

 

PART – C                             

Answer any TWO questions                                                                                         (2×20=40 Marks)

 

1. a) Explain Fisher’s index number. Why it’s called as an ideal index numbers?

1. b) Prove that the Factor Reversal Test and Time Reversal Test are satisfied

by Fisher’s Index.

Year	Article I		Article II		Article III		Article IV
	Price	Qty	Price	Qty	Price	Qty	Price	Qty
1982	5.00	5	7.75	6	9.63	4	12.50	9
1983	6.50	4	8.80	10	7.75	6	12.75	9

 

1. a) Describe the procedure of cyclic variation and irregular variation.

1. b) Calculate the seasonal indices by the method of link relatives

Quarter\ Year	1979	1980	1981	1982	1983
I	30	35	31	31	34
II	26	28	29	31	36
III	22	22	28	25	26
IV	31	36	32	35	33

 

 

 

 

 

1. a) Describe the methods of obtaining vital statistics. Also write its uses?

1. b) From the data, calculate the gross reproduction rate and Net

reproduction rate. [ratio Male:Female = 52:48]

Age Group	No of children born to 1000 women passing through the age group	Mortality rate
16-20	150	120
21-25	1500	180
26-30	2000	150
31-35	800	200
36-40	500	220
41-45	200	230
46-50	100	250

 

1. Explain the following:

1. a) Agricultural Statistics
2. b) Financial Statistics
3. c) Components of Time Series.

 

 

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