# ISS (Statistical Services) Statistics Paper III: Questions 22 - 28 of 109

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## 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 calc

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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 populat

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## Question number: 25

» Sampling Techniques » Cluster Sampling with SRS - Intra-Class Correlation Coefficient

Appeared in Year: 2009

### Write in Short

Explain cluster sampling.

## Question number: 26

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

Appeared in Year: 2009

### Write in Short

Describe the Yule -Slutsky effect of moving average operation on the random component of a time series.

## Question number: 27

» Sampling Techniques » Two-Stage Sampling with Equal Number of Second Stage Units

Appeared in Year: 2009

### Describe in Detail

Distinguish between two-stage and two-phase sampling schemes. Give suitable examples.

### Explanation

Two Stage Sampling:

All elements are surveyed in cluster sampling and efficiency in cluster sampling depends on size of the cluster. As the size increases, the efficiency decreases.

Rather than enumerating all the sampling units in the selected clusters, one can get better and more efficient estimators by resorting to sub sampling within the clusters

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## Question number: 28

» Econometrics » Auto-Correlation

Appeared in Year: 2009

### Describe in Detail

Define multicollinearity. What are the causes of multicollinearity? How will you detect the same and solve it?

### Explanation

**Multicollinearity:** Implies predictors that are correlated with other predictors in the model. Here two or more predictor variables in a multiple regression model are highly correlated and implies that one can be linearly predicted from the others with a substantial degree of accuracy.

**Causes of multicollinearity:**

Inaccurate use of dummy variables.

Inc

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