To introduce the basic concepts in statistics to the students and the way in which these concepts are applied in Economics; and
To help solving problems in statistics and interpreting the results obtained.
12.00
Unit I:
Index Numbers
Concept of an index number;
Laspeyer’s, Paasche’s, and Fisher’s index numbers;
Time reversal, factor reversal, and circular tests;
Consumer Price Index Number & Wholesale Price Index number;
Problems in the construction of index numbers.
12.00
Unit II:
Time Series Analysis & Interpolation
Components of a time series;
Measurement of trend by moving averages and least square method;
Measurement of seasonal variation by simple averages;
Methods of interpolation: Binomial Expansion method and Newton’s Advancing Difference method.
12.00
Unit III:
Probability Theory
The concept of probability;
Addition and Multiplication Theorems of probability;
Conditional probability and independence of events.
Mathematical Expectation
12.00
Unit IV:
Probability Distributions
Binomial, Poisson and Normal Probability Distributions.
12.00
Unit V:
Hypothesis Testing
Procedure of testing of hypotheses;
Applications of Z (single mean, difference of means, single proportion, difference of proportions), t (one sample, independent samples and paired samples) and chi-square (goodness of fit and independence of attributes) tests.
Essential Readings:
Gupta, S.P., Statistical Methods, S.Chand and Sons, New Delhi.
Croxton , F.E., D.J.Cowden and S. Klein, Applied General Statistics, Prentice Hall ,New Delhi.
Speigel, M.R.,Schaum’s Outline of Theory and Problems of Statistics, McGraw Hill Book, London.
Nagar, A.L. and R.K. Das, Basic Statistics, Oxford University Press, Bombay.