University of Madras - Syllabus of Bachelor of Science (BSc) Statistics - Allied - Paper II - Statistical Methods and Their Applications II
UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN STATISTICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)
SYLLABUS
Allied - Paper II - Statistical Methods and Their Applications II
Note:
The emphasis is solely upon the applicational understanding and practice of statistical methods, with specific reference to problems in physical, natural, and earth sciences.
UNIT - 1:
Bivariate frequency table and its uses - scatter diagram - Regression lines - linear prediction - Rank correlation coefficient - curve fitting by the method of least squares.
UNIT - 2:
Standard distributions - Binomial, Poisson and Normal distributions - Fitting of distributions.
UNIT - 3:
Concept of sampling distributions - standard error - Tests of significance based on t, Chi-square arid F - distributions with respect to mean, variance and correlation coefficient. Theory of attributes and tests of independence in contingency table.
UNIT - 4:
Sampling from finite population - Simple random sampling, Stratified and systematic random sampling procedures - Estimation mean and total and their standard errors. Concepts of sampling and non-sampling errors.
UNIT - 5:
Principle of scientific experiments - Randomization, replication, and local control Analysis of variance - One way and two way classification Analysis of CRD and RBD - Latin square designs. Concepts of factorial experiments (without confounding).
Books for Study and References:
Mode, E.B.: Elements of Statistics - Prentice Hall
Wilks, S.S.: Elementary Statistical Analysis -Oxford and IBH
Snedecor, G.W., & Cochran, W.G.: Statistical Methods, Oxford and IBH
Simpson and Kafka: Basic Statistics
Burr, I.W.: Applied Statistical Methods, Academic Press.
Croxton, FE. and Cowden, D.J.: Applied General Statistics, Prentice Hall
Ostleo, B.: Statistics in Research, Oxford & IBH.