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

SYLLABUS

Semester VI - Major - Practical IV

NOTE :

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

Duration of the Examination: Three Hours.
Two questions have to be set with internal choice. Each carries 30 Marks.

Write and test run the program in C++ for the following problems.
Find the mean and median of ungrouped data.
Find the mean and standard deviation of ungrouped data.
Form the frequency distribution with k classes given N observations with k known.
Find the Skewness and Kurtosis of an Emperical distribution.

Fitting of Binomial & Poisson distribution for the given frequency distribution and test the goodness of fit.

Regression and correlation coefficient.
Chi-square test for (i) Goodness of fit (ii) independence of attributes.
Analysis of variance for one-way and two-way classifications.
Matrix addition and subtractions.
Matrix mtiltiplication
Inverse square matrix and solution of simultaneous equations.
Counting number of words in a given sequence, palindrome.
Generation of Fibonacci sequence
Single and two sample t tests, paired t test.

F test for testing the equality of two population variances based on samples from these.