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

SYLLABUS

Semester IV - Major - Practical II

BASED ON MAJOR PAPER - III & PAPER - IV

NOTE :

Record 20 Marks, Practical Examination 60 Marks and Viva - voce 20 Marks

Duration of the Examination: Three Hours.
Five questions are to be set without omitting any unit.
Candidates are to answer any three questions.
All questions carry equal marks.
(Outline of the exercises to be carried out)

UNIT - 1:

Fitting of distributions and testing goodness of fit for binomial, Poisson Negative Binomial and Normal.

UNIT - 2:

Drawing random samples of size not exceeding 25 from (1) Binomial (2) Poisson (3) Uniform distribution, (4) Cauchy distribution (5) Normal distribution and (6) Exponential with known mean and variance, using random number tables. Numerical problems involving derivation of marginal and conditional probability density function and related measures of moments.

UNIT - 3:

Estimation of parameters by the methods of (1) Moments and (2) maximum likelihood (3) Method of minimum chi-square and (4) Method of least square with regard to discrete and continuous distributions.

UNIT - 4:

Confidence intervals for proportions, means, variance and variance ratio.

UNIT - 5:

Standard asymptotic and exact tests of significance with regard to proportion, mean, variance, coefficients of correlation, regression coefficients, partial and multiple correlation coefficients. Independence tests by contingency tables of order (p x q ) (p. q = 5)