ISS (Statistical Services) Statistics Paper III: Questions 77  83 of 96
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Question number: 77
» Applied Statistics » Time Series Analysis » Determination of Trend, Seasonal and Cyclical Fluctuations
Appeared in Year: 2012
Describe in Detail
Discuss link relative method to estimate seasonal fluctuations, with appropriate illustrations.
Explanation
link relative is the value of one season expressed as a percentage of the preceding season. The word ‘season’ refers to time period, it means month for monthly data, quarter for quarterly data etc.
Under this method, the seasonal indices are found with the following steps.
Steps:
(i) Find the link relative of all the seasonal data using the fo
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Question number: 78
» Sampling Techniques » Probability Sampling or Random Sampling
Appeared in Year: 2013
Describe in Detail
Give the names of various procedures for selecting a sample using probability proportional to size (PPS) scheme. Obtain an unbiased estimator of the population mean under PPS.
Explanation
Procedures for selecting a sample using probability proportional to size (PPS) scheme are:

PPS sampling with Replacement

PPS sampling without Replacement

Cumulative total method

Lahiri’s method
An unbiased estimator of the population mean under PPS:
Let = value of the ith unit of the population, i = 1,2, …, N
= known value of the
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Question number: 79
» Econometrics » Ordinary Least Squares (OLS)
Appeared in Year: 2012
Write in Short
Let the demand function be expressed as. For what value of X, the elasticity of demand will be unitary?
Question number: 80
» Sampling Techniques » Stratified Random Sampling
Appeared in Year: 2013
Describe in Detail
Describe the principles of stratification. Explain how the allocation of sample size in different strata is made.
Explanation
Principles of stratification:
The principle of stratification is the division of the population in such a way that the elements within a stratum are as similar as possible and the means of the strata are as different as possible.
Auxiliary information (past or some other information) related to the character under study may be used to divide the
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Question number: 81
» Applied Statistics » Time Series Analysis » Determination of Trend, Seasonal and Cyclical Fluctuations
Appeared in Year: 2013
Describe in Detail
Discuss various steps of finding adjusted monthly indices of seasonal variations using link relative method.
Explanation
Steps of finding adjusted monthly indices of seasonal variations using link relative method:
(i) Find the link relative of all the seasonal data using the formulae
Where = link relative of the current season
(ii) Arrange the entire link relatives thus obtained seaso
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Question number: 82
» Applied Statistics » Index Numbers » Demand Analysis
Appeared in Year: 2014
Describe in Detail
Define price elasticity of demand and income elasticity of demand. Point out their uses in economic analysis.
Explanation
Price elasticity of demand:
Price elasticity of demand is a measure of the relationship between a change in the quantity demanded of a particular good and a change in its price.
Price elasticity of demand shows the sensitiveness or responsiveness of demand to the change in price.
Price elasticity of demand is defined as the value of the ratio o
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Question number: 83
» Sampling Techniques » Simple Random Sampling with and Without Replacement
Appeared in Year: 2014
Describe in Detail
Define linear systematic sampling. Does it give equal probability of selection to all the population units? State the advantages and limitations of systematic sampling. Can a systematic sample be drawn without a physical list of population units? Justify your claim.
Explanation
Linear systematic sampling:
Linear systematic sampling is a commonly employed technique if the complete and upto date list of the sampling units is available. This consists in selecting only the first unit at random, the rest being automatically selected according to some predetermined pattern involving regular spacing of units.
Let us Suppose
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