ISS Statistics Paper III: Questions 49 - 53 of 90

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Question number: 49

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2010

Short Answer Question▾

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What is PPS Sampling? Explain why such type of sampling is needed? Describe Lahiri’s method for PPS selection of sample.

Question number: 50

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

Appeared in Year: 2011

Essay Question▾

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Discuss cluster sampling. Let Y be the sample mean based on a sample of nM elements. y̅ is the sample mean based on a sample of nM elements drawn for SRS without replacement from NM elements in the population. Obtain Relative efficiency of Y with respect to y̅ (without getting the derivation of V ( y̅ ) and V ( y ) ). Write its ANOVA table.

Explanation

Cluster sampling:

Cluster sampling is a type of sampling method. If the population size is very large, the samplings lead to several difficulties. It might be tough to prepare a frame for large population size. In such case the, cluster sampling is used. In this method, the population is divided… (568 more words) …

Question number: 51

» Econometrics » Autoregressive Linear Regression

Appeared in Year: 2011

Essay Question▾

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Let Ut=aξ+et , - ∞ < t < ∞, where ets are i, i. d. with E(et)=0 and V(et)=1 . Show that the process is stationary with correlation.

Explanation

It is given that E(et)=0

} ……………. (i)

V(Ut)=V(aξ+et)

=a2V(ξ)+V(et)+2aCov(ξ… (238 more words) …

Question number: 52

» Applied Statistics » Time Series Analysis » Exploratory Time Series Analysis

Appeared in Year: 2011

Essay Question▾

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Give the various steps for finding the variance of the random component using variate difference method. Is F-test used for testing the significance of homogeneity of two successive estimates of variance? If yes, ok, otherwise which ’test can be used? Discuss.

Explanation

To find the variance of the random component using variate difference method:

let us consider a series represented as the sum of functional part and random component

UT=a0+a1t++a2t2++ak1… (458 more words) …

Question number: 53

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

Appeared in Year: 2010

Short Answer Question▾

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What are the three tests of index numbers? Verify whether the following index number satisfies any of these tests:

I= 12(L+P)

Where L = Lasperaye’s Price Index Number

P = Paasche’s Price Index Number.

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