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

SYLLABUS

Allied - Practicals - Statistical Methods and Their Applications 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 for practical examination. Statistical and Mathematical tables are to be provided to the students at the examination hail.

1. Construction of univariate and bivariate frequency distribution with samples of size not proceeding 200.

2. Diagrammatic and graphical representation of various statistical data and frequency distributions.

3. Cumulative frequency curve and Lorenz curves.

4. Computation of various measures of location, dispersion, moments, skewness and kurtosis.

5. 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

6. Computation of correlation coefficients - regression lines (raw data and grouped data) - correlation coefficients.

7. Fitting of Binomial, Poisson and Normal distributions and testing goodness of fit.

8. Large sample test - tests for proportions.

9. Exact test based on t, Chi-square, and F distributions with regard to mean, variance and correlation coefficients.

10. Estimation of mean and r total and their standard errors in simple, stratified and systematic random sampling procedure.

11. Analysis of variance - one-way and two-way classifications.

12. Analysis of CRD, RBD and Latin square designs.