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)
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.
Sampling Theory- Parameter and Statistic, Sampling Distribution of a Statistic and Standard Error of a Statistic
Test of Hypothesis- Element and Procedure of Testing a Statistical Hypothesis, Types of Errors. Level of Significance
Test of Significance (Large Sample)- Sample Mean, Difference between two Sample Means, Difference between two Standard Deviations, Sample Proportion and Difference between two Sample Proportions.
Test of Significance (Small Sample): Application of Student’s t- test for Mean, Difference Between two Means ( Independent and Paired t-test for Difference of Means).
Chi-square test: Definition and Nature, Uses of Chi-Square Test- Test of Goodness of Fit, Test of Independence of Attributes and Test for the Population Variance.
Analysis of Variance: One-way and two-way classification.
Research report writing: Format of research report, presentation, footnote- endnote, bibliography, references.
Readings:
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. Kothari C R, “Research Methodology Methods & Techniques”, New Age International publisher, New Delhi
1. Richard Levin & David Rubin : Statistics for management, Prentice Hall.
2. Anderson, Sweeny & Williams: Statistics for Business and Economics, South Western.