Measures of Central Value: Characteristics of an ideal measure; Measures of Central Tendency - mean, median, mode, Quartile and percentile. Merits, Limitations and Suitability of averages. Relationship between averages. Measures of Dispersion: Meaning and Significance. Absolute and Relative measures of dispersion - Range, Quartile Deviation, Mean Deviation, Standard Deviation, Coefficient of Variation, Moments, Skewness, Kurtosis
Correlation Analysis: Meaning and significance. Correlation and Causation, Types of correlation. Methods of studying simple correlation - Scatter diagram, Karl Pearson’s coefficient of correlation, Spearman’s Rank correlation coefficient, Concurrent correlation.
Regression Analysis: Meaning and significance, Regression vs. Correlation. Linear Regression, Regression lines (X on Y, Y on X)
Analysis of Time Series: Meaning and significance. Utility, Components of time series, Models (Additive and Multiplicative), Measurement of trend: Method of least squares, moving average, semi average, seasonal variations.
Index Numbers: Meaning and significance, problems in construction of index numbers, methods of constructing index numbers-weighted and unweighted, Test of adequacy of index numbers, chain index numbers, base shifting, splicing and deflating index number.
Probability: Meaning and need. Theorems of addition and multiplication. Conditional probability. Bayes’ theorem.
Probability Distribution: Meaning, characteristics (Expectation and variance) of Binomial, Poisson, and Normal distribution.
Hypothesis testing: Concept; Level of Significance; Process of testing; Test of hypothesis concerning Mean; Test of hypothesis( parametric & non parametric): Applications and limitations
1. S.P. Gupta (S.P.): Statistical Methods, Sultan Chand & Sons, 34th Edition.
2. Goon, Gupta and Das: Fundamentals of Statistics
3. Snedecor and Cochran, Statistical Methods, Oxford and IBH Publishers.
4. Shukla,M.C. and Gulshan S.S., Statistics Theory and Practice, Sultan Chand and Sons, New Delhi.
5. Richard Levin & David Rubin : Statistics for management, Prentice Hall.
6. Anderson, Sweeny & Williams: Statistics for Business and Economics, South Western.