Want question paper of 2007 Economics B.A 2nd semester under Gauhati university? Here is a 4th semester B.A Economics (Statistical Methods)) 2007 question paper. Read the texts of that question paper to use for your upcoming examinations.
University: Gauhati university
Semester: 4
Course: B.A Economics
Subject: Statistical Methods)
Exam year: 2007
The figures in the margin indicate full marks for the ques.
Write the answers to the 2 Halves in separate books
First Half
(Statistical Methods)
1. Answer the following: 2×4=8
a) Describe Bayes' theorem.
b) What is meant by sampling distribution of a statistic?
c) What do you mean by Splicing of Index Numbers?
d) Distinguish ranging from kind I and kind II errors in testing hypotheses.
2. Answer any 2 of the following: 6×2=12
a) Elaborate the characteristics of a good estimator?
b) Describe conditional probability. An um contains seven white and five black balls. Two balls are drawn at random 1 after the other without replacement. obtain the probability that both balls drawn are black.
c) What is binomial distribution? elaborate its properties?
3. Answer any 2 of the following: 10×2=20
a) Distinguish ranging from Laspeyres' and Paasche's Index Numbers. Show how Fisher's Index Number is derived from these two. 3+3+4= 10
b) What is meant by normal distribution? Elaborate its properties? 2+8=10
c) Elaborate the properties of t-distribution? Define the major applications of distribution.
7+3=10
Second Half
(Elementary Econometrics)
4. Answer the following: 2×4=8
a) In a situation involving 3 variables X, Y and Z, what is the partial correlation ranging from X and Y?
b) Under standard assumptions the OLS estimators of regression coefficients are normally distributed. Yet the standard normal variate is usually not used as the statistic for testing hypotheses about regression coefficients. Why is that so?
c) How are consumer goods categorized into normal goods and inferior goods?
d) How is the Gini coefficient related to the Lorenz curve?
5. Answer any 3 of the following: 4×3=12
a) Why is an formula like Y = + X not suitable for econometric study? Suitably replace the formula to adapt it for econometric use.
b) Explain the limitations of the moving avg. method of estimating pattern in a time series.
c) Discuss the merits and demerits of the subsequent formulation of the Engel curve InY = a + b ln X
where Y is household expenditure on a consumer good and X is household income.
d) Outline the essence of the multi co-linearity issue.
e) State and discuss Pareto's legal regulations of income distribution.
6. Answer any 2 of the following: 10×2=20
a) Illustrate the use of the variate difference method to determine the degree of a polynomial to be fitted to a time series. 10
b) Derive the OLS estimators of the parameters of the regression model Y = + X + u
Show that under standard assumptions, the OLS estimator of f3 is the best linear unbiased estimator. 4+6=10
c) Show how the OLS estimate of the 2 variable linear regression model can be used to generate an internal prediction. 10
d) Outline the features of the log-normal distribution and explain its usefulness for representing distribution of income in a society. 10
University: Gauhati university
Semester: 4
Course: B.A Economics
Subject: Statistical Methods)
Exam year: 2007
The figures in the margin indicate full marks for the ques.
Write the answers to the 2 Halves in separate books
First Half
(Statistical Methods)
1. Answer the following: 2×4=8
a) Describe Bayes' theorem.
b) What is meant by sampling distribution of a statistic?
c) What do you mean by Splicing of Index Numbers?
d) Distinguish ranging from kind I and kind II errors in testing hypotheses.
2. Answer any 2 of the following: 6×2=12
a) Elaborate the characteristics of a good estimator?
b) Describe conditional probability. An um contains seven white and five black balls. Two balls are drawn at random 1 after the other without replacement. obtain the probability that both balls drawn are black.
c) What is binomial distribution? elaborate its properties?
3. Answer any 2 of the following: 10×2=20
a) Distinguish ranging from Laspeyres' and Paasche's Index Numbers. Show how Fisher's Index Number is derived from these two. 3+3+4= 10
b) What is meant by normal distribution? Elaborate its properties? 2+8=10
c) Elaborate the properties of t-distribution? Define the major applications of distribution.
7+3=10
Second Half
(Elementary Econometrics)
4. Answer the following: 2×4=8
a) In a situation involving 3 variables X, Y and Z, what is the partial correlation ranging from X and Y?
b) Under standard assumptions the OLS estimators of regression coefficients are normally distributed. Yet the standard normal variate is usually not used as the statistic for testing hypotheses about regression coefficients. Why is that so?
c) How are consumer goods categorized into normal goods and inferior goods?
d) How is the Gini coefficient related to the Lorenz curve?
5. Answer any 3 of the following: 4×3=12
a) Why is an formula like Y = + X not suitable for econometric study? Suitably replace the formula to adapt it for econometric use.
b) Explain the limitations of the moving avg. method of estimating pattern in a time series.
c) Discuss the merits and demerits of the subsequent formulation of the Engel curve InY = a + b ln X
where Y is household expenditure on a consumer good and X is household income.
d) Outline the essence of the multi co-linearity issue.
e) State and discuss Pareto's legal regulations of income distribution.
6. Answer any 2 of the following: 10×2=20
a) Illustrate the use of the variate difference method to determine the degree of a polynomial to be fitted to a time series. 10
b) Derive the OLS estimators of the parameters of the regression model Y = + X + u
Show that under standard assumptions, the OLS estimator of f3 is the best linear unbiased estimator. 4+6=10
c) Show how the OLS estimate of the 2 variable linear regression model can be used to generate an internal prediction. 10
d) Outline the features of the log-normal distribution and explain its usefulness for representing distribution of income in a society. 10
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