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

SYLLABUS

Allied - Paper II - Mathematical Statistics II

UNIT - 1:

Sampling Theory - Sampling distributions - Concept of standard error - Sampling distribution based on Normal distribution: t, Chi-square and F distributions

UNIT - 2:

Point estimation - Concepts ofunbiasedness, consistency, efficiency and sufficiency - Cramer Rao inequality - Methods of estimation: Maximum likelihood, moments and minimum chi-square and their properties. (Statements only).

UNIT - 3:

Interval estimation - Confidence Intervals for population mean, proportions and variance based on Normal, t and Chi-square, F. Test of significance - Standard Error - Large sample tests. Exact tests based on t, Chi-square and F distribution with respect to population mean, proportion, variance and correlation coefficient. Test of independence of attributes based on contingency tables - Goodness of fit tests based on Chi-square.

UNIT - 4:

Test of significance - Standard Error - Large sample tests. Exact tests based on t, Chi-square and F distribution with respect to population mean, proportion, variance and correlation coefficient. Theory of attributes - Tests of independence of attributes based on contingency tables - Goodness of fit tests based on Chi-square.

UNIT - 5:

Tests of hypothesis: Type I and II errors - Power of test - Neyman Pearson Lemma - Likelihood ratio tests - Concepts of most powerfiil test - (Statements and results only) simple problems.

Books for Study and Reference: