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Six Sigma Advanced Training Agenda

Introduction

  • Getting Started: Introductions

  • Key Outcomes

  • Agenda Review

  • Course Objectives

Overview of Statistics

  • Statistics, Variation, Sampling

  • Hypothesis Testing Overview
    • Null and alternative hypothesis
    • Probability of Error: Alpha and Beta
    • p value

  • Correlation and Regression

Introduction to Minitab

  • Minitab Layout and Menus

  • Toolbars

  • Basic Tools and Graphs

Measure

  • Interpreting Distributions
    • Measure of shape, center and spread
    • Manual calculation of "center"

      Activity: Coin drop exercise (10 min)

  • Use of Excel for “Percentile Range” Calculation

    Activity: Follow-along exercise – Pizza Delivery Cycle Time

  • Normality

  • Use of Minitab's "Descriptive Statistics" function

    Activity: Follow-along exercise – Is my data normal?

  • Sampling (Review)
    • Process versus population
    • Population samples: continuous and discrete data

      Activity: Manually calculate population sample size (10 min)

  • Power Analysis
    • Alpha and Beta
    • Use of Minitab for more sophisticated power calculations

      Activity: Calculating Population Sample Size (10 min)

  • Process Sampling Techniques
    • Minimum sample size
    • Rational sub-grouping

      Activity: Manually calculating process sample size (10 min)

  • Measurement System Analysis
    • Repeatability, reproducibility, stability and linearity
    • Testing for repeatability and reproducibility (R&R)

  • Gage R&R – continuous data

    Activity: Gage R&R -(15 min)

    Activity: Gage R&R Display – Water Measurements (40 min)


  • Discrete Data Analysis (aka Attribute R&R)

    Activity: Discrete Data Analysis using M&M's (30 min)

  • Testing for Normality

  • Tools that Require Normality

  • Ways to Analyze Distributions

    Activity: Follow-along activity – Normal Probability Plots and Descriptive Statistics (20 min)

  • Transformation of Data
    • Example: Testing for normality and using transforms

      Activity: Testing for normality and using transforms (15 min)

  • Process Capability and Sigma
    • The Normal Distribution revisited – standard deviation and Z
    • Process Capability & Z Scores (continuous data)

      Activity: Follow-along activity – Calculating Z and Probabilities
      (15 min)


    • Process Capability & Z Scores (continuous data)

      Activity: Process Capability and Z Scores (continuous data) (20 min)

    • Long- and short-term Process Capability ("1.5 Sigma Shift")
    • Understanding the enhanced sigma table
    • Options for calculating sigma from DPMO (Defects per Million Opportunities)

Analyze

  • Principles of Advanced Analysis
    • Overview of hypothesis testing

  • When to Use the Different Tests – Test Selection Process Map

  • Hypothesis Test (all hypothesis test discussions include a follow-along activity first...)

  • Chi-Square test, with follow-along example

    Activity: Chi-square calculations - manual and Minitab (15 min each)

  • T-test, with follow-along example

    Activity: t-test calculations (manual, 15 min)

  • Paired t-test, with follow-along example

    Activity: Select the right t-test and calculate (Minitab, 15 min)

  • F-Test, with follow-along

    Activity: Calculating F (manual or Minitab, 15 min)

  • ANOVA, one-way and two-way, with follow-along

  • Mood's Median test (for non-normal data), with follow-along

  • Hypothesis test review (when to use which test)

    Activity: Select the right hypothesis test (15 min)

  • Correlation coefficients and scatter plots

  • Linear regression (with follow-along)

  • Simple linear regression – 1 X and 1 Y -– with follow-along

  • Understanding slope/intercept results and prediction equations

  • Interpreting results and checking assumptions

  • Understanding residuals and residual analysis

  • Using confidence intervals and prediction intervals

    Activity: Using Linear Regression Analysis (30 min)

  • Multiple regression analysis (multiple Xs and 1 Y)

  • Checking collinearity (using interaction plots and variance inflation factors – VIFs

  • Iterative calculation (with follow-along)

  • Using multiple regression analysis

    Activity: Using multiple regression analysis (30 min)

  • Intro of logistic regression (with follow-along)

    Activity: Using Logistic Regression Analysis (2 activities, 60 min total)

Improve

  • DOE (Design of Experiments)
    • When to Use/Why use
    • Types of designs, factors and levels
    • Disadvantages of “one factor at a time”
    • Full factorial design, 2K factorial example – follow-along full factorial design experiment

      Activity: Designing experiments – The Sigma Bubble Co.
      (3 Activities, 65 min total)


  • Case example follow-along – moving damage – interpreting DOE results

  • Interpreting results from bubble experiment

    Activity: Interpreting results – The Sigma Bubble Company (30 min)

  • Fractional designs (moving damage case, follow-along)

  • Aliasing (confounding) of factors and interactions

  • Opportunities to use DOE

    Activity: DOE Wrap-Up (10 min)

Control

  • Creating a control plan
    • Linking monitoring & response planning to FMEA

  • Monitoring plan
    • Measurement and Operational Definitions
    • Subgroups and frequency
    • Continuous and attribute data charts

  • Constructing and Interpreting Control Charts
    • Calculating control limits

      Activity: Selecting appropriate control charts and manually calculating control limits (25 min)

  • Constructing Control Charts in Minitab

    Activity: Follow-along activity – Designing control charts in Minitab (15 min)

  • Interpreting control charts

    Activity: Interpreting control charts from Minitab (15 min)

  • Selecting Control Charts

    Activity: Selecting control charts (15 min)

  • Response Plans

  • Damage control, process adjustment, assessing effectiveness

    Activity: Building a control plan (45 min)

Review and Conclusion

Activity: Planning your tools (15 min)

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