The following is a **typical Lean Six Sigma Black Belt training agenda**. Pivotal Resources can customize the course material to client training requirements, as well as certification objectives.

Pivotal’s Black Belt Training emphasizes when and why statistical tools should be applied to add value and meaningful business knowledge, as well as how to apply these analytical methods.

**Simply click on the subject content below to see more information, and click on the content again to close the box.**

##### 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 / 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

- 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 / 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/Conclusion

**Activity: Planning your tools (15 min)**

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