(Revised and added 20 Oct 2006)
Module I: (10 Hours)
Six Sigma Basics: Overview & Implementation, the DMAIC process.
Simple graphical tools: 7 QC Tools, Box Plot, Dot Plot, Stem & Leaf Plot.
Basic Statistics: Histograms to Distributions, Normal Distribution, Central Limit Theorem, Law of large numbers, t, chi-squared and F distributions.
Normal Probability Plotting on ordinary graph paper, Interpretation
Testing a new process for improvement - Variability known from past, Variability estimated from the experiment
Comparing two processes - Randomised samples, Paired samples, Comparingmore than two methods simultaneously- ANOVA
Module II: (10 Hours)
Six Sigma Analyse: Experimental strategies - Deficiencies of one factor at a time experiments, Problems in analysis of past data, Necessity for randomization
Basics of Experimental Design - Terminology, Two level factorials, Estimation of effects and interactions, Yates algorithm, Unreplicated experiments - judging significance, Testing for significance in replicated experiments.
Developing mathematical model equations, calculating residuals, checking whether experiment has been conducted satisfactorily
Module III: (10 Hours)
Handling non-normal response - Transformations.
Choosing the number of experiments, Testing whether linear model is satisfactory - Curvature, Handling uncontrollable factors – Blocking, Dealing with difficult to randomise factors – split plot experiments
Dealing with large number of factors, Fractional Factorial experiments, Design Resolution.
Use of DoE software
Module IV: (9 Hours)
Six Sigma Metrics: DPU, DPO, DPMO, Sigma levels, Yield, First Time Yield, Overall Yield, Throughput Yield, Rolled Throughput Yield, Normalized Yield
Process Capability Indices: Cp, Cpk, Cpm, Cpkm. Dealing with non-normality through transformations, Importance of stability for capability, Effect of sample size - Confidence Intervals
Measurement System Analysis: Repeatability and Reproducibility
Every student should carry out an individual project and present the results.
Breyfogle, Forrest, Implementing Six Sigma: Smarter Solutions Using Statistical Methods, New York: John Wiley & Sons, 1999
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