1. To develop an understanding of univariate analysis including measures of central tendency and dispersion
2. To help the students examine the techniques of correlation, regression, time series and index numbers.
3. To acquaint the students with the techniques of probability and hypothesis testing and their applications.
· Measures of Central Tendency
· Dispersion
· Skewness
· Kurtosis
· Simple Correlation- Karl Pearson’s correlation coefficient and Spearman’s rank correlation coefficient
· Simple Regression analysis
· Components of time series
· measurement of trend (moving averages & least squares) and seasonal variation (simple averages)
· Index numbers - Construction of Unweighted and Weighted Index Numbers, Tests of Adequacy, Cost of Living Index, Chain index, Base shifting, Splicing, use of index numbers for deflating
· Probability - definition, Theorems of Addition and Multiplication
· Conditional Probability, Bayes Theorem
· Mathematical Expectation
· Probability Distributions - Binomial, Poisson and Normal distributions
· Procedure of hypothesis testing
· Use of Z (single mean, difference of means, single proportion, difference of proportions), t (one sample, independent samples and paired samples), chi-square (goodness of fit and independence of attributes) & F (one-way & two-way ANOVA) tests
Gupta, S.P. Statistical Methods, S Chand & Company, 2012
1. Speigal, Murray R., Statistics, Schaum’s Outlines, McGraw Hill Education, 1998.
2. Spiegel, Murray R., Schiller, John, Srinivasan, R. Alu and Goswai, Debasree, Probability and Statistics, McGraw Hill Education, 2017.
3. Croxton, Frederick E., Crowden, Dudley, J. and Klein, Sydney, Applied General Statistics, Prentice Hall of India, New Delhi, 3rd edition, 1979.
4. Nagar, A.L. and Das R.K., Basic Statistics, Oxford University Press, 1997.