Dependencies: IS2002

Syllabus: Simple Random Sampling (SRS), Sample size determination, Ratio and Regression estimators under SRS, Stratified, Systematic, and Quota sampling. Separate and combined estimators for stratified sampling. Cluster sampling, Multi-stage sampling, Complex sample designs and related issues.

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: Sampling (2e) - by Steven K. Thompson Practical sampling Techniques by Ranjan Kumar Som Hand book of Sampling Techniques and Analysis by Poduri Rao

Dependencies: ST1004, ST2004

Syllabus: Introduction to regression, Correlation, Uses of regression, Simple linear regression model, Parameter estimation, inferences about the model, model diagnostics and prediction, Multiple regressions, Qualitative variables as predictors, Model building

Evaluation Criteria: End-of-semester examination and assignments

Suggested Readings: Applied Regression Analysis (Draper & Smith), Applied Linear Regression (Sanford Weisberg)

Syllabus: Introduction: Definition, Types of time series, Components of time series, Time plot, Time series decomposition, Transformation, Differencing, Autocorrelation, Stationarity: Stationary & non-stationary time series, Tests for stationary, Modelling time series: Time series models, Model identification, Parameter estimation, Diagnostic checks, Forecasting, Spectral analysis

Evaluation Criteria: End-of-semester examination and Assignments

Suggested Readings: Forecasting Methods and Applications (Makridakis, S. Weelwright, S. C. and Hyndman, R. J.), The analysis of Time Series: An Introduction (Chatfield, C), Forecasting and Control (Box, G. E. P., Jenkins, G. M. and Reinsell)

Syllabus: Reliability concepts and Reliability data, Models, censoring and likelihood for failure time data, Non-parametric estimation, Location-Scale based parametric distributions, Probability plotting, Parametric likelihood fitting concepts, Maximum likelihood estimates for the exponential mean based on the density approximation. Failure time regression analysis; failure time regression models, accelerated failure time models, regression diagnostics, proportional hazards model, weibull proportional hazards model. Accelerated test models: Different types of acceleration, accelerated life tests, methods of acceleration, acceleration models. Planning accelerated life tests: planning information, evaluation of test plans, planning single variable ALT experiments.

Evaluation Criteria: End-of-semester examination and Assignments

Suggested Readings: Statistical methods for reliability data (Meeker, M.Q. and Escobar, L.A.), Reliability Modeling: A Statistical approach (Wolstenholme L.C.)

Dependencies: None

Syllabus: Plain curves : Conics, parametric equations, polar coordinates and graphs. Vector : Vectors in plane and space, Dot and Cross products, Lines, planes and surfaces in space, Cylindrical and Spherical coordinates. Vector valued functions : Differentiation and integration, Tangent and normal vectors, Arc length and curvature. Functions of several variables : Graphs of surfaces, Limits and continuity, Partial derivatives and differentiability, Linear approximation and error bounds, Chain rule, Directional derivatives and gradients, Tangent planes and normal lines, Extrema of functions of two variables and applications, Lagrange multipliers. Multiple integration : Iterated integrals, Double integrals and volumes, Change of variables and polar coordinates, Surface area, Triple integrals, Change of variables. Vector analysis : Vector fields, Line integrals, Conservative vector fields, Green's theorem, Surface integrals, Divergence theorem, Stoke's theorem.

Evaluation Criteria: End of semester examination

Dependencies: MS2004

Syllabus: Multivariate Techniques including cluster, factor, conjoint, correspondence mapping, multiple regression, Data Fusion, Forecasting techniques including ARIMA Media Research: Definitions, specialized data collection methods, media terminology & measurement, media planning including introduction to proprietary software for pre & post evaluation of media schedules, Pricing Research: Types of pricing models & their application, Test Marketing & Simulated Test Marketing, Report Writing

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: Research for Marketing Decisions by Paul Green & Donald Tull “Marketing Research" by Harper Boyd, Ralph Westfall & Stanley Stasch “Essentials of Marketing Research" by V. Kumar, David Aaker & George Day

Dependencies: MS1003

Syllabus: Network Models: Minimal Spanning tree, shortest route problem, Project Planning and implementation, Inventory Models and OR packages

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: Operational Research an Introduction by Hamdy A. Taha, Introduction to Operations Research by Hillier and Lieberman