UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN STATISTICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester I - Major I - Descriptive Statistics

UNIT - 1:

Nature and scope of statistical methods and their limitations - preparation of questionnaire and schedule - Primary and Secondary sources of data - nominal, ordinal, ratio and interval scale - complete enumeration, controlled experiment, observational studies & sample surveys, Sources of secondary data including some Government publications.

UNIT - 2:

Presentation by tables and by diagrams construction of tables with one, two and three factors of classifications - diagrammatic representations, frequency distributions for continuous and discrete data, graphical representation of a frequency distribution by histogram and frequency polygon, cumulative frequency distributions (inclusive and exclusive methods) and ogives.

UNIT - 3:

Measures of location, dispersion, moments and measures of skewness and kurtosis for both grouped and ungrouped data. Use of Sheppard's corrections for grouped data. Bivariate data.

UNIT - 4:

Scatter diagram, regression curve between two variables and concept of error in regression, principle of least squares and fitting of first, second degree and exponential curves, concept of correlation co-efficient and its properties. Spearman's rank correlation. Multivariate data. Multiple regression, multiple correlation and partial correlation in three variables - their measures and related results.

UNIT - 5:

Fundamental set of frequencies, consistency of data, conditions for consistency, contingency table, association of attributes, and various measures of association.

Books for Study:

Hogg, R.V. and Craig, A.T. (1998): Introduction to Mathematical Statistics, 4^th ed. Academic Press.

Hoel, P.G. (1971): Introduction to Mathematical Statistics, Asia Publishing House.

Goon, AM., Gupta M.K and .Dasgupta B (1991): Fundamentals of Statistics, Vol.1, World Press, Calcutta.

Bhat B.R, Srivenkataramana T, and Madhava K.S,(1996) Statistics: A Beginner's text Vol. I, New Age International (P) Ltd.

BOOKS FOR REFERENCE:

G.U.Yule and M.G. Kendall (1956): An introduction to the theory of Statistics, Charles Griffin.
M.R. Spiegel (1961): Theory and problems of statistics, Schaum's outline series.
Snedecor .G.W. and Cochran W.G. (1967): Statistical methods, Iowa State University Press.
Anderson, T.W. and Sclove SL. (1978): An introduction to statistical analysis of data, Houghton Miffin/co.
Croxton FE, and Cowden D.J. (1973) Applied General Statistics, Printice Hall of India.