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

SYLLABUS

Semester II - Major Practical I

BASED ON MAJOR PAPER-I & PAPER-II

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.
Can didates are to answer any three questions.
All questions cariy equal marks.
(Outline of the exercises to be carried out)

UNIT -1:

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

Diagrammatic and Graphical representation of data and Frequency distributions - Pie diagram, Bar diagram, Multiple Bar diagrams, Sub divided Bar diagrams, percentage bar diagrams, Line diagram, Frequency polygon, Frequency curve, Histogram, Ogives, Lorenz curves.

UNIT - 2:

Numerical computations of measures of location and dispersion (absolute and relative) moments, measures of Skewness and Kurtosis for both grouped and ungrouped data - Sheppard’s correction for grouped data.

UNIT - 3:

Construction of contingency tables, testing the consistency of data.. Computations of various measures of association of attributes.

Fitting of first degree, second degree and exponential curves by method of least squares.

UNIT - 4:

Computation of correlation coefficient, regression lines for raw and grouped data. Rank correlation coefficient, linear predictions.

Computation of partial regression partial correlation and multiple correlation coefficients given total correaltion coefficients (involving 3 variables)

UNIT - 5:

Algebraic operations on matrices of order p x q (p,q 4)
Determination of the rank of a matrix of order p x q (p,q 4)
Inverse of a non-singular matrix of third and fourth order by (1) Sweep out method and by (2) partitioning of matrices.
Determination of a solvability of a set of linear equations and identification of possible solutions. Determination of characteristic roots (only real) and characteristicS vectors of second and third order square matrices.