# ISS (Statistical Services) Statistics Paper III: Questions 17 - 24 of 109

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## Question number: 17

» Applied Statistics » Time Series Analysis » Determination of Trend, Seasonal and Cyclical Fluctuations

Appeared in Year: 2009

### Describe in Detail

Explain ratio to moving average method for calculating seasonal indices.

### Explanation

Ratio to moving average method is an improvement over the ‘ratio to trend’ method as it removes the cyclic fluctuations, which remain closely mixed with the seasonal indices calculated under ‘ratio to trend method’. Here seasonal indices are calculated based on the moving average trend instead of a least square trend.

Further, both the trend and

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## Question number: 18

» Applied Statistics » Index Numbers » Fisher Index Numbers: Chain Base Index Number & Tests for Index Number

Appeared in Year: 2009

### Describe in Detail

Define Marshall- Edgeworth index number and examine whether it satisfies Fisher’s tests for index numbers. Also show that this index number will lie between the Laspeyres’ and Paasche’s index numbers.

### Explanation

**Marshall- Edgeworth Index Number: **

In this index number, the average of the quantities of the base year and current year are used as weights. Thus, the weight of an item would be . Accordingly the formula of index number is:

= X 100

OR

= X 100

Fisher’s tests for Marshall- Edgeworth Index Numb

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## Question number: 19

» Econometrics » Pure and Mixed Estimation

Appeared in Year: 2009

### Write in Short

Discuss the problems involved in the statistical estimation of market demand function.

## Question number: 20

» Sampling Techniques » Concepts in Sampling

Appeared in Year: 2009

### Describe in Detail

What do you mean by sampling frame? Why do you need it? Give reasons for preferring the sampling to complete enumeration.

### Explanation

Sampling frame is a list of all the elements or things in the population from which the sample is drawn.

It is a list of all those within population which can be sampled, and may include individuals, households or institutions. To cover the population there should be some list, map or acceptable material called frame, which serves as a guide to c

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## Question number: 21

» Applied Statistics » Computations Based on Fourier Transform

Appeared in Year: 2009

### Write in Short

Describe, briefly, the Engel’s law and Engel’s curve. What are the different forms of Engel’s

Curve usually employed for fitting to the family budget data?

## Question number: 22

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2009

### Write in Short

Explain the principle of stratification. How would you determine the best mode of stratification?

## Question number: 23

» Applied Statistics » Spectral Analysis of Weakly Stationary Process

Appeared in Year: 2009

### Describe in Detail

Distinguish between fixed base and chain base methods for the construction of index numbers.

Discuss their relative merits.

### Explanation

**Fixed base method: ** In this method, the base year remains fixed for all the years of calculation. The base year price (quantity) selected may be the price of a given year or the average of prices of a given number of years. In the absence of any instruction to this effect, the foremost year’s price is taken as the base year’s price. Formula for ca

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## Question number: 24

» Sampling Techniques » Simple Random Sampling with and Without Replacement

Appeared in Year: 2009

### Describe in Detail

Describe the procedure of drawing a simple random sample of size n without replacement from a finite population of size N. obtain the probabilities of drawing specified sample in simple random sampling with and without replacement.

### Explanation

Procedure of drawing Simple random sampling without replacement (SRSWOR):

In SSWOR once an element is selected as a sample unit, it will not be replaced in the population pool. The selected sample units are distinct.

A sample of size is collected without replacement from the population of size . First member is chosen at random from the popul

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