**DESCRIPTION OF COURSES**

**AS 561 STATISTICAL METHODS (2L+1P)**

**Objective**

This course is meant for students who do not have sufficient background of Statistical Methods. The students would be exposed to concepts of statistical methods that would help them in understanding the importance of statistics. It would also help them in understanding the concepts involved in data presentation, analysis and interpretation. The students would get an exposure to presentation of data, probability distributions, parameter estimation.

**Theory**

UNIT I

Descriptive Statistics- exploratory data analysis techniques. Random variable.

UNIT II

Discrete probability distributions: Uniform, Bernoulli, binomial, Poisson, negative - binomial, geometric, hypergeometric, multinomial. Continuous probability distributions: rectangular, exponential, Cauchy, normal, gamma, beta, Weibull, lognormal, logistic, Pareto.

UNIT III

Exact sampling distributions. Central t, χ2 and F distributions. Bivariate normal distribution - conditional and marginal.

UNIT IV

Correlation, rank correlation, correlation ratio, intra-class correlation. Regression analysis, partial and multiple correlation and regression.

**Practicals**

Exercises on Descriptive Statistics and exploratory data analysis. Fitting of discrete distributions, Fitting of continuous distributions, Computation of simple, multiple and partial correlation coefficient, correlation ratio and intra-class correlation, fitting of regression equations.

**Suggested Readings**

- Goon, A.M., Gupta, M.K. and Dasgupta, R. 1986.
*Outline of Statistics.*Vol. I. World Press. - Goon, A.M., Gupta, M.K. and Dasgupta, R. 2008.
*Fundamentals of Statistics.*Vol. I. Atlantic Publishers. - Hoel, P.G. 1971.
*Introduction to Mathematical Statistics*. John Wiley. - Hogg, R.V. and Craig, A.T. 1995.
*Introduction to Mathematical Statistics*. Prentice-Hall. - Mood, A.M., Graybill, F.A. and Boes, D.C. 1991.
*Introduction to Theory of Statistics*. Cambridge University Press. - Rohtagi, V.K. and Ehsan, M. 1991.
*Introduction to Probability Theory and Mathematical Statistics*. John Wiley.