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DATA ANALYSIS
This paper is designed to understand the role of statistics in computers.
Frequency distributions, Graphical representation of data (Histograms, Frequency Polygons, Smoothed frequency curves and Ogives), computation of Measures of Central Tendency (mean, median, mode), Measures of Dispersion (Range, QD, MD, SD), coefficient of Variation.
Basic ideas of Permutation and Combination, Classical Theory of Probability, Law of total and compound probability, Conditional probability, Baye’s theorem (simple question based on the theorem).
Correlation: Definition and types, properties of correlation, methods of studying correlation- Karl Pearson’s coefficient of correlation and Spearman Rank Correlation
Linear Regression - Definition, Fitting of two lines of regression, Regression coefficients with simple properties.
Sampling Distribution and Standard Error. Procedure of Testing a Statistical Hypothesis. Level of significance, Large sample tests for variables.
Application of t-test for testing the significance of single mean & difference in two means (independent and paired-t).
Chi-square test for testing normal population variance. Test for goodness of fit, independence of attributes using 2x2 and rxc contingency tables).
Application of F test for testing of equality of two variances, Analysis of Variance- one way and two way classification.
- S.C. Gupta and V.K. Kapoor, “Fundamentals of Mathematical Statistics”, Eleventh edition, S. Chand & Company, 2002.
- Ross Sheldon M., “Introduction to the Theory of Probability”, Elsevier Publication.
- A.M.Goon, M.K.Gupta and B.Das Gupta, “Fundamental of Statistics” Vol I, Calcutta University Press.
- B.L. Agarwal, “Basic Statistics”, New Age Publications.
- S.P. Gupta, “Statistical Methods”, Sultan Chand Publishers
- D. C. Sancheti, V. K. Kapoor , “Statistical Methods”, Sultan Chand and Sons.
- D.N. Elhance & others “Fundamentals of Statistics”.
