STCS 31025
>< Type/ Status : Core
for students offering Statistics and Computer Science as a subject.
>< Title : Sampling Techniques and Statistical
Methods
>< Pre-requisites : STCS 11015
>< Objectives : At the end of this unit the
students will be able to effectively apply statistical methods and techniques
in building statistical models and related applications.
>< Course Content :
Sampling :
An introduction to various sampling methods, Design of questionnaires, Fundamentals
of probability sampling and estimation, Simple random sampling, Stratified random
sampling.
Categorical data analysis:
Description and inference of two-dimensional contingency tables.
Analysis of Variance: Principles
of design, Analysis of variance for one-way classification, Analysis of variance
for two-way classification, Multiple comparisons.
Regression Analysis: Simple
linear regression model, Parameter estimation, Inferences about the model, Prediction,
Model adequacy, Lack of fit.
Multiple linear regression model, Parameter estimation, Inferences about the
model, Prediction, Model adequacy, Variable selection and model building procedures.
Non-parametric Methods: One-sample
tests, two sample tests, Analysis of variance by ranks, rank correlation.
>< Methodology : A
combination of lectures and tutorials.
>< Scheme of Evaluation : End of semester
examination and assignments.
>< Recommended Reading :
1. Draper, N.R, & Smith, H, Applied Regression Analysis
', (1998 3rd Edition), John Wiley & Sons.
2. Hicks C. R., Fundamental Concepts in Design of Experiments,
(1993, 4th Edition), Oxford University Press.
3. Hicks C. R., Turner K. V., Fundamental Concepts in
Design of Experiments, (1999 5th Edition), Oxford University Press.
4. William G. Cochran, Sampling Techniques, (1997 3rd
Edition), John Wiley & Sons.
5. Sidney Siegel, John Jr. Castellan N., Non parametric
Statistics for the Behavioral Sciences, (1998, 2nd Edition), McGraw-Hill College
Div.
6. Neave H. R., Worthington P. L., Distribution Free Tests,
(1998, 1st Edition), Routledge.
7. Barnett Vic, Elements of Sampling Theory, (1981, 2nd
Edition), Hodder & Stoughton.
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