# ISS (Statistical Services) Statistics Paper III: Questions 1 - 6 of 96

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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

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2015

### Describe in Detail

Explain the principles of forming strata and clusters. What are the difference between stratified sampling and clusters sampling?

### Explanation

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## Question number: 3

» 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: 4

» Econometrics » Heteroscedastic Disturbances

Appeared in Year: 2015

### Describe in Detail

Describe the problem of heteroscedasticity in linear regression model. Outline one method for overcoming this problem.

### Explanation

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## Question number: 5

» Econometrics » Simultaneous Linear Equations Model

Appeared in Year: 2015

### Describe in Detail

Describe the two-stage least squares (2SLS) procedure for structural estimation in a simultaneous equations model. Show that it coincides with indirect least square method when the equation is exactly identified.

### Explanation

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## Question number: 6

» Sampling Techniques » Multistage Sampling and Its Application

Appeared in Year: 2015

### Describe in Detail

Consider a population U= {u _{1}, u _{2}, …, u _{n}}. Observations of study variable (y) and auxiliary variable (x) are y (u _{i}) =y _{i}, x (u _{i}) =x _{i}, i = 1, 2, . . , N. Let p _{i} =X _{i} /X where . A sample of size n is drawn with PPSWR. Show that the population total , the estimator is an unbiased estimator. Obtain the variance of the estimator of the population total.

### Explanation

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