## Earn Your Black Belt From the University of Michigan

**Effective quality analysis requires finding the right tool for the right problem.**

The purpose of this two-week course is to develop advanced continuous improvement and quality engineering analysis skills used in Lean Six Sigma problem solving, equipping candidates to be able to identify and lead improvement projects at the Black Belt level.

Extensive case studies are used to demonstrate and practice their application so that candidates are prepared to effectively identify and sustainably solve problems that affect performance in quality, lead time, and cost.

Upon completion of the course, participants are expected to demonstrate their understanding of key course concepts through passing a Black Belt Certification Exam and successful completion of an industry project.

### Learning Objectives

- Understand and characterize variability through the graphical representation of data
- Describe a process visually through process mapping techniques
- Apply DMAIC problem solving process toward process improvement at the Black Belt skill level
- Develop data collection plans and design experiments to test hypotheses
- Interpret test results and draw conclusions based on data and the application of advanced statistical analysis techniques
- Integrate statistical analysis tools, software, and problem solving methodologies
- Develop recommendations and control plans to improve processes
- Complete a process improvement project outside of class that demonstrates the application of the full DMAIC methodology

## Black Belt Program Overview

#### Week 1

- DMAIC Problem Solving Process and DEFINE Phase
- Sampling, Descriptive Statistics, and Basic Graphical Tools (Run Chart, Histogram, Box Plot)
- Introduction to Minitab (Tutorial)

- Process Maps (Review of SIPOC/Swim Lane, Current and Future State Maps)
- Value Stream Mapping (VSM) Analysis (Value Stream Process Redesign, Current State VSM, Value Add Timeline, Future State VSM)
- Value Stream Productivity Analysis (Takt, Nominal vs. Effective Process Time, Detractors, Operator Bar Charts, Capacity and Utilization)

- MEASURE: Measure the Current State – Continuous Outputs (Yield, PPM Defective, Mean vs. Variation)
- Measure Current State – Defect Count Data (DPMO, Rolled Yield, Tabulation, Check Sheets, and Pareto)
- Minitab Tutorial – Measure Phase
- Measuring Current State Using Survey Methods

- Assessing Process Stability: Variable Control Charts (X-Bar/Range, I/MR)
- Statistical Process Control: Attribute Charts (e.g., p-chart, u-chart)
- Minitab Tutorial – SPC
- Process Capability Analysis (Cp and Cpk) – Mean vs. Variation, Normal/Non-Normal Distributions
- Minitab Tutorial – Process Capability Analysis

- Data Collection and Qualitative Process Analysis (Data Collection, Cause and Effect, P-Diagram)
- Two Group Hypothesis Tests (F-tests, t-tests, 2 Proportion, ANOVA)
- One-Factor ANOVA – Operating Windows
- Power and Sample Size Planning
- Minitab Tutorial – Hypothesis Testing

#### Week 2

- IMPROVE Phase – Countermeasures and Short Term Verification
- IMPROVE Phase – Standardized Work and Load Leveling
- CONTROL – Methods of Control, Visual Controls, and Control Plans
- Failure Mode and Effects Analysis (FMEA) – Improving Methods of Control (Detection)

- Nonparametric Hypothesis Tests
- Categorical Data Analysis (Measures of Association)
- Minitab Tutorial – Categorical Data Analysis
- Transactional Measurement Systems Analysis (MSA) (Sources of Measurement Error, Accuracy and Repeated Measurement Studies)
- Attribute Agreement Analysis
- Minitab Tutorial – Transactional MSA

- Two Variable Analysis – Simple Linear Regression/Correlation
- Multiple Regression/Stepwise Regression/Best Subset
- Binary Logistic Regression Analysis
- Minitab Tutorial – Regression Analysis

- Multi-Vari Studies
- Principles of Design of Experiments (DOE)
- DOE – 2k Factorial
- Minitab Tutorial – DOE
- General Linear Model (GLM)
- Minitab Tutorial – GLM

- Tolerance Analysis and Adjustment
- Project Identification and Selection Techniques
- DMAIC Project Management
- Course Summary and DMAIC Gate Review Process

Program Faculty

- Patrick Hammett
- Director of Faculty Innovation, Nexus
- Lead Faculty, Six Sigma Programs
- Lecturer, Integrative Systems + Design
- More about...

### Online Course Access

Participants receive access to both the online Green Belt and Black Belt courses to review for project work and exam preparation. In addition, supplemental modules are available for additional learning on topics including:

- Measurement Systems Analysis: Gage R&R Study
- Introduction to Sample Size Planning (Single Statistics, Margin of Error, CV)
- Complex Regression and Data Transforms
- DOE Fractional Factorial Designs, 3k Factorial, 2k w/ Center Points
- Pugh Concept Selection Process