# Applied Statistics (ISS (Statistical Services) Statistics Paper III): Questions 1 - 5 of 45

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## Question number: 1

» Applied Statistics » Time Series Analysis » Economic Time Series & Components

Appeared in Year: 2015

### Describe in Detail

List the main components of a times series. Explain the method of link relative for measurement of seasonal fluctuations of a times series.

### Explanation

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## Question number: 2

» Applied Statistics » Index Numbers » Laspeyre

Appeared in Year: 2015

### Describe in Detail

Discuss the considerations in the choice of (i) base period and (ii) the formula (method), for constructing price index numbers.

### Explanation

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## Question number: 3

» Applied Statistics » Index Numbers » Link and Chain Relatives Composition of Index Numbers

Appeared in Year: 2015

### Describe in Detail

In the construction of price index numbers, explain the terms ‘time reversal test’ and ‘factor reversal test’. Show that both these tests are satisfied by the Fisher index.

### Explanation

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## Question number: 4

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

Appeared in Year: 2015

### Write in Short

State the problem of autocorrelation in a general linear model. Why does this problem arise? Demonstrate its effect on ordinary least square estimator (OLSE).

## Question number: 5

» Applied Statistics » Index Numbers » Price Relatives and Quantity or Volume Relatives

Appeared in Year: 2015

### Describe in Detail

The following information concerns changes in price and consumption (quantity) of certain major of components of the consumption basket of the labour class:

- | - | - | Year 2000 | Year 2000 | Year 2014 | Year 2014 |

SI. No. | Item | Unit | Price ( Rs. ) | Consumption | Price ( Rs. ) | Consumption |

1 | Rice | Quintal | 500 | 16 | 640 | 20 |

2 | Wheat | Quintal | 240 | 52 | 320 | 10 |

3 | Cloth | Metre | 16 | 50 | 20 | 35 |

Compute price index using

(i) Fisher’s method

(ii) Marshall-Edgeworth method

Also interpret the results.

### Explanation

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