# ISS (Statistical Services) Statistics Paper III: Questions 17 - 23 of 109

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## Question 17

Determination of Trend, Seasonal and Cyclical Fluctuations
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Appeared in Year: 2009

### Describe in Detail

Essay▾

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 th&#8230;

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## Question 18

Fisher Index Numbers: Chain Base Index Number & Tests for Index Number
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Appeared in Year: 2009

### Describe in Detail

Essay▾

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 Number:

(i) Time Reversal Test:

For Marshall- Edgeworth Index N&#8230;

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## Question 19

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Appeared in Year: 2009

### Write in Short

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

## Question 20

Edit

Appeared in Year: 2009

### Describe in Detail

Essay▾

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 cove&#8230;

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## Question 21

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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 22

Edit

Appeared in Year: 2009

### Write in Short

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

## Question 23

Edit

Appeared in Year: 2009

### Describe in Detail

Essay▾

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 calc&#8230;

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