ISS Statistics Paper III: Questions 60 - 65 of 90

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Question number: 60

» Applied Statistics » Index Numbers » Laspeyre

Appeared in Year: 2013

Essay Question▾

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Discuss simple aggregate method of Index number. Why is weighted average of price relative index preferred over simple aggregate method? Show that weighted average of price relative index number is same as that of Paasche’s index number.

Explanation

Simple aggregate method of Index number:

This method consists of expressing aggregate of prices in any year as a percentage of their aggregate ith the base year. The price index, under this method is computed by the formula

P01=p1p0x100… (317 more words) …

Question number: 61

» Applied Statistics » Periodogram and Correlogram Analyses

Appeared in Year: 2012

Essay Question▾

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Obtain the correlogram for the series Ut+1=aUt+εt+1 a <1 with E(ε)=0 , provided εt+1=bεt+ηt+1 , b <1 , and successive values of η are independent.

Explanation

It is given that Ut+1=aUt+εt+1

And hence Ut+2=aUt+1+εt+2

Substituting the value εt+1=bεt+ηt+1… (408 more words) …

Question number: 62

» Applied Statistics » Index Numbers » Income Distribution-Pareto and Engel Curves

Appeared in Year: 2012

Short Answer Question▾

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Discuss Engel’s law and Engel’s curve. Explain Engel ’s curve for constant price.

Question number: 63

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2012

Essay Question▾

Describe in Detail

Discuss the allocation of a sample to different strata in stratified sampling. Explain proportional allocation and hence obtain the variance of mean of a stratified sample under proportional allocation.

Explanation

For a population consisting of N sampling units it can be divided into k relatively homogeneous sub-groups of sizes N1, N2, …, Nk (called as strata) such that N= i=1kni.

Then a simple random sample of size n… (471 more words) …

Question number: 64

» Sampling Techniques » Simple Random Sampling With and Without Replacement

Appeared in Year: 2012

Short Answer Question▾

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Show that for a simple random sample s2=1n1i=1n(yiyn)2 unbiased estimate of S2.

Question number: 65

» Econometrics » Ordinary Least Squares (OLS)

Appeared in Year: 2012

Short Answer Question▾

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If the demand curve is of the form p=αekx , where p is the price and x is the demand, prove that the elasticity of demand is 1kx · Hence deduce the elasticity of demand for p=10ex2

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