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

SYLLABUS

Allied - Practicals - Mathematical Statistics I and II

Max: 50 Marks
Record of practical: 10
Marks Practical Exam: 40
Marks Duration: 3Hrs.

NOTE :

Use of scientific calculator may be permitted for Mathematical Statistics practical examination. Statistical and Mathematical tables are to be provided to the students at the examination hall.

1. Construction of univariate and bivariate frequency distributions with samples of size not exceeding 200.

2. Diagrammatic and graphical representation of data and frequency distribution.

3. Cumulative frequency distribution - Ogives -Lorenz curve.

4. Measure of location and dispersion (absolute and relative).

5. Numerical problem involving derivation of marginal and conditional distributions and related measures of moments.

6. Fitting of Binomial, Poisson and Normal distributions and tests of goodness of fit.

7. Curve fitting by the method of least squares.
(i) y = ax+b ; (ii) y = ax² + bx + c ; (iii) y = ae^bx (iv) y = ax^b

8. Computation of correlation coefficients and regression lines for raw and group data. Rank correlation coefficient.

9. Asymptotic and exact tests of significance with regard to population mean, proportion, variance and coefficient of correlation.

10. Test for independence of attributes based on contingency table.

11. Confidence Interval based on Normal, t and Chi-square statistics.