# ISS (Statistical Services) Statistics Paper III: Questions 39 - 44 of 96

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## Question number: 39

» Econometrics » Auto-Correlation

Appeared in Year: 2011

### Describe in Detail

Discuss the effect of imperfect multicollinearity on tests and errors. Consider a model

with

and with

, ,

and

Do you think multicollinearity is present in the model? If yes, give reasons. Further show that as

increases, also increases.

### Explanation

… (214 more words) …

## Question number: 40

» Applied Statistics » Time Series Analysis » Exponential and Moving Average Smoothing

Appeared in Year: 2011

### Describe in Detail

Explain moving average [m, p]. Let with p = 1 and m = 2k + 1, obtain the coefficient of and [m, p]

### Explanation

… (294 more words) …

## Question number: 41

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

Appeared in Year: 2010

### Write in Short

Discuss briefly the steps involved in the construction of cost of living index number.

## Question number: 42

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

Appeared in Year: 2010

### Write in Short

Discuss the ratio to trend method for separating the seasonal component in a time series.

## Question number: 43

» Sampling Techniques » Simple Random Sampling and Systematic Sampling

Appeared in Year: 2011

### Describe in Detail

Explain aligned sample and unaligned systematic sampling method

### Explanation

… (168 more words) …

## Question number: 44

» Sampling Techniques » Simple Random Sampling and Systematic Sampling

Appeared in Year: 2010

### Describe in Detail

Explain the concepts of linear and circular systematic sampling giving suitable illustrations.

Further, show that for linear systematic sampling, sample mean is an unbiased estimator for population mean.

### Explanation

… (401 more words) …