Syllabus

Course Code: ST-104    Course Name: Industrial Statistics

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Objectives of time series analysis, Components of time series, Measurement of secular trend: Method of mathematical curves (use of polynomial, logistic, Gompertz and lognormal functions) ,Method of moving averages Approximate formula( Spencer's 15-point and 21-point formulae); Method of variate- differencing and its use for estimation of variance of the random component. Measurement of seasonal fluctuations: Ratio-to moving average method, Ratio-to-trend method, Method of link relatives.
2 Measurement of cyclical fluctuations: Periodogram analysis. Different schemes which account for oscillations in a stationary time series, Concept of serial(auto) correlation and correlogram, Autoregressive series ,Correlogram of (i) moving average,(ii) an autoregressive series and (iii) Harmonic series.
3 Introduction, Different types of quality measures, Rational sub-groups and technique of control charts, 3 sigma control limits and probability limits, control charts for variables (mean and range, mean and standard deviation), Control chart for number defective and fraction defective, Control charts for percent defective, Control chart for number of defects. Two types of control charts. Natural tolerance limits and specification limits; Modified control limits. Sampling inspection by attributes: single , double and multiple sampling plans.
4 Sequential sampling inspection plans, comparison of three types of plans. Sampling inspection by variables: underlying principles, variables inspection with known and unknown standard deviation.
Cumulative sum control chart (Cusum chart): Advantage, Two-sided and one –sided decision procedure. The ARL curve: The ARL Curve for a Shewart chart and for a Cusum chart. Design of a Cusum chart and V-Mask.
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