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)
- Example: Testing for normality and using transforms
- 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
- 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
- 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)
- Calculating control limits
- 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)

