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STATISTICS LAB-I Credit Units: 02 Course Objective: The purpose of the course is to develop knowledge of the fundamental Statistical tools to handle quantitative and qualitative data. The application of these tools lies with the problems encountered in decision making. The students will be able to distinguish between probability models appropriate to different chance events and calculate probability according to these methods. Course Contents: 1. Probability Theory-I: Problems based on Discrete and Continuous random variables; workout joint distribution, marginal and conditional distributions of two random variables, Problems on independence of random variables, expectation of sum of random variables and product of independent random variables, conditional expectation, problems based on moments and mgfs. 2. Statistical Methodology-I: problems based on the presentation of data: classification, tabulation, diagrammatic & graphical representation of grouped data, frequency distributions, cumulative frequency distributions and their graphical representations using histogram, frequency polygon and ogives. 3. Problems based on measure of central tendency and dispersion, Moments and factorial moments. Shephard’s correction for moments, Skewness and Kurtosis Measures based on quartiles, problems of curve fitting using method of least squares. 4. Calculation of correlation and regression, rank Correlation (Spearman’s and Kendall’s measure), Intraclass correlation, correlation ratio, Partial and Multiple Correlation & Multiple Regression for trivariate data. 5. Association of attributes, Independence, Measure of association for 2x2 table, Chi-square, Karl Pearson’s and Tschuprow’s coefficient of association. Examination Scheme: Components TA 7 Weightage(%) TA: Teacher’s Assessment, Semester Viva LR ATTD EE 10 8 5 70 Viva: Viva Voce Exam, LR: Lab Record, ATTD: Attendance, EE: End Text & References: Mood A.M., Graybill, F.A. and Boes, D.C. (1974) : Introduction to the theory of Statistics, McGraw Hill. Mukhopadhyay, P: Mathematical Statistics, New Central Book Agency. Goon,Gupta & Dasgupta: Fundamentals of statistics. Vol. I. The world press Private Ltd., Calcutta. Yule, G.U. and Kendall, M.G.: An Introduction to the theory of statistics. Charles Griffin & Company Ltd. C. E. Weatherburn: Mathematical Statistics.