Statistical Methods

Paper Code: 
STT-202
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

This paper aims to familiarize the students with the handling of bivariate data and numerical techniques.

 

7.00
Unit I: 
Theory of attributes:

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.

 

9.00
Unit II: 
Curve Fitting:

Scatter Diagram, Concept of curve fitting and Principles of Least Squares. Fitting of straight line, Parabola, Power Curves and Exponential Curves.

 

9.00
Unit III: 
Correlation and Regression:

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.

10.00
Unit IV: 
Finite Differences:

 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

10.00
Unit V: 
Interpolation and Extrapolation:

Meaning, uses and assumptions of interpolation and extrapolation. Newton’s Forward and Backward formulae for equal intervals, Lagrange’s formula and numerical problems.

 

Essential Readings: 

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.

 

References: 

 

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.

 

Academic Year: 
2014-2015
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