This paper aims to familiarize the students with the handling of bivariate data and numerical techniques.
Class, class frequencies, order of class frequencies, Ultimate class frequency, Consistency of data (up to order 3). Independence of attributes, contingency table, Association of attributes, Measures of association.
Scatter Diagram, Concept of curve fitting and Principles of Least Squares. Fitting of straight line, Parabola, Power Curves and Exponential Curves.
Correlation, Scatter Diagram, Karl Pearson’s Coefficient of Correlation and its properties. Spearman’s Rank Correlation Coefficient. Regression-Fitting of Regression Lines, Regression Coefficients with properties.
Operators E,Ñ,Δ, their relationship and properties, factorial notation, Difference table and nth order difference of polynomial, Fundamental Theorem of finite differences. Estimation of one and two missing terms
Meaning, uses and assumptions of interpolation and extrapolation. Newton’s Forward and Backward formulae for equal intervals, Lagrange’s formula and numerical problems.
1. Goon, A.M., Gupta, M.K. and Dasgupta, B. Das (1991): Fundamentals of Statistics,
Volume I,The World Press Pvt Ltd, Calcutta
2. Gupta, S.C. and Kapoor, V.K.: Fundamentals of Mathematical Statistics, S Chand &
Company, New Delhi
3. Bansal & Ojha: Numerical Analysis, Jaipur Publishing House, Jaipur.
1. Yule, G.Udny and Kendall, M.G. (1999): An Introduction to the Theory of Statistics, 14th Edition
2. Speigel M.R., (1967): Theory and Problem of Statistics, Schaum’s Series.
Links:
[1] https://statistics.iisuniv.ac.in/courses/subjects/statistical-methods-5
[2] https://statistics.iisuniv.ac.in/academic-year/2014-2015