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 III

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:

Critical regions and power curves concerning testing of hypothesis on the parameters of the following distributions, when alternatives are one sided as well as two sided Binomial distributions, Normal distributions, Exponential and Cauchy distributions. Non-parametric tests - sign test - Median test - Run test - Mean - Whitney test (one and two sample problems). Wilcoxon signed rank test. Kolmogorov Smirnov one sample test, Krustal Wallis test.

UNIT - 2:

(Design of Experiment) : Analysis of variance - one way and two way classifications, Analysis of CRD, RBD, & LSD layouts and their efficiency, Missing plot techniques in RBD and LSD, Multiple range test, Analysis of covariance - one way and two way classification with one concomitant variable. Analysis of factorial experiments of 2n series for n = 2(1)5 with and without confounding. 32 factorial experiments. Analysis of split plot design in RBD layout.

UNIT - 3:

(Sampling techniques) : Selection of sample and determination of sample size - simple random sampling with or without replacement- estimation of population mean and Variance and variance of the estimator, stratified random sampling - allocations, Estimation of mean and variance of population and variance of the estimator of mean under proportional allocation and optimum allocation. Gain due to stratification, systernaic sampling, ratio and regression methods of estimation for population mean and total based on simple random sampling.

UNIT - 4:

(Statistictf Quality Control) : Control charts for attribute and variables - x bar R, p, np and C chart - OC AOQ, ATI curves for single double and sequential sampling plans.

UNIT - 5:

(Time series) : Fitting of linear and quadratic secular trend polynomial by the method of least squares, estimating the trend by moving average method, determination of seasonal indices, application of variate difference method to determine the degree of secular trend polynomial to filled in and to estimate the variance of the random component.

(index numbers) : Construction of fixed and chain base index numbers Laspeyres, Paasche's Bowley's Fisher's and Marshall - Edgeworth index numbers construction of cost of living index numbers.