ISS (Statistical Services) Statistics Paper III: Questions 24  31 of 109
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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
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Question number: 25
» Sampling Techniques » Cluster Sampling with SRS  IntraClass 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 » TwoStage Sampling with Equal Number of Second Stage Units
Appeared in Year: 2009
Describe in Detail
Distinguish between twostage and twophase 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 clu
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Question number: 28
» Econometrics » AutoCorrelation
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 vari
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Question number: 29
» Sampling Techniques » Concepts in Sampling
Appeared in Year: 2010
Describe in Detail
What precautions would you take in planning for a sample survey?
Explanation
Precautions to be taken for planning sample survey:

Objectives of the survey: The first step is to define clearly the objective of the survey. The objective should be kept easy so that the people working for the survey easily understand it. The hypothesis being tested and the outcomes that will be used to study the hypothesis should be clear.
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Question number: 30
» Econometrics » Autoregressive Linear Regression
Appeared in Year: 2011
Describe in Detail
Discuss second order autoregressive series. For this series, obtain complementary function (CF) only.
Explanation
Second order autoregressive series:
Sometimes, the values of a time series data are highly correlated with the values that precede and succeed them. i. e. , The value of a time series at any time “t” may depend upon its own value at times t1, t2, …, tk, the relationship being linear.
In such cases an autoregression model is used for forecast
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Question number: 31
» Sampling Techniques » Simple Random Sampling and Systematic Sampling
Appeared in Year: 2010
Write in Short
A hypothetical population has the population units in linear trend given by = a (i = 1,2, … N).
Show that: V (
V ( where N = nk
V (
Hence, deduce that