Applied Statistics (ISS Statistics Paper III): Questions 20 - 25 of 39
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Question number: 20
» Applied Statistics » Index Numbers » Income Distribution-Pareto and Engel Curves
Appeared in Year: 2011
Describe in Detail
Explain the formulation of the problem of distribution of income. Further discuss its Mathematical formulation in order to find number of persons with income x or more.
Explanation
Formulation of the problem of distribution of income:
The problem of distribution of income can be formulated as follows
(a) Determation of the form of the frequency distribution ϕ (x), for the total distribution of income from the poorest to the richest members of the society.
(b) Check whether ϕ… (134 more words) …
Question number: 21
» Applied Statistics » Time Series Analysis » Exploratory Time Series Analysis
Appeared in Year: 2011
Describe in Detail
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
Here are considered as independently identically distributed with
…. (i)
for a plynomial of mth degree… (115 more words) …
Question number: 22
» Applied Statistics » Index Numbers » Price Relatives and Quantity or Volume Relatives
Appeared in Year: 2010
Write in Short
What are the three tests of index numbers? Verify whether the following index number satisfies any of these tests:
I=
Where L = Lasperaye’s Price Index Number
P = Paasche’s Price Index Number.
Question number: 23
» Applied Statistics » Index Numbers » Income Distribution-Pareto and Engel Curves
Appeared in Year: 2013
Describe in Detail
Explaining Pareto’s law of income distribution, show that the elasticity decreases in the number of persons while passing to a higher income class.
Explanation
Pareto’s law of income distribution:
Pareto’s states that ‘the number of income recipients earning at least a given level of income would tend to fall by a fixed percentage as that given level of income rose by a fixed percentage. ’
Pareto’s law implies that inequality is inescapable and nothing… (190 more words) …
Question number: 24
» Applied Statistics » Index Numbers » Income Distribution-Pareto and Engel Curves
Appeared in Year: 2013
Describe in Detail
Discuss Engel’s curve. Explain the Engel’s curve for constant price of a demand functionwhere is national income and p is price.
Explanation
Engel’s curve: The graphic representation of the basic relationship between household income and its expenditure on a particular item of consumption is known as Engel’s curve. The Engel curves shows the effect of a change in income on the expenditure for each good at fixed prices. If price change, the… (281 more words) …
Question number: 25
» Applied Statistics » Time Series Analysis » Determination of Trend, Seasonal and Cyclical Fluctuations
Appeared in Year: 2012
Describe in Detail
What are the different methods for measurement of trend? Discuss the method of fitting a straight line using least squares method.
Explanation
Methods of measurement of trend:
Trend can be measured by the following methods:
(i) Graphic method or trend by Inspection
(ii) Method of Semi-Averages
(iii) Method of Curve fitting by principles of Least Squares
(iv) Method of moving averages
Fitting a straight line using least squares method:
Let be… (230 more words) …