1. The Certified Quality Engineer Handbook 3rd ed. Ch
The Certified Quality Engineer Handbook 3rd ed. Ch. 26: Measurement System Analysis
Dr. Joan Burtner
Certified Quality Engineer
Associate Professor of
Industrial Engineering and Industrial Management

2. Ch. 26: Measurement System Analysis
Terms and Definitions
Gage Repeatability and Reproducibility
Variables vs. Attributes
Gage R&R Methods
Tabular
Analysis of Variance
Control Charts
ISE 428 ETM 528 JMB CH 26 Lecture 2 2

3. Philosophy of Gage R & R Studies
Gage Repeatability and Reproducibility (R&R) studies are used to determine if a measurement system is capable for its intended purpose.
The measurement system is considered capable if measurement system variation is small compared to the process variation.
The measurement error variance equals the sum of the variance due to reproducibility and the variance due to repeatability
ISE 428 ETM 528 JMB CH 26 Lecture 2 3

4. Purpose of Gage R & R Studies
Determine amount of variability in the collected data that can be attributed to the existing measurement system
Isolate the sources of variability in the measurement system
Determine whether the measurement system is suitable for use in a broader project
ISE 428 ETM 528 JMB CH 26 Lecture 2 4

5. Gage R &R Methods Tabular Analysis of Variance “Old method”
Based on control charts
Statistically incapable of quantifying interaction between operators and parts
Analysis of Variance
Random two-factor model
See standard experiment notation on page 261
We will use Minitab to estimate variance effects
We will use p-values to determine significance of the main effects and the interaction between the factors
ISE 428 ETM 528 JMB CH 26 Lecture 2 5

6. Issues and Considerations
ANOVA applies to variables data – R&R studies for attributes data beyond the scope of the CQE Handbook
Standard experiment 10 parts, three operators, two replicates
Restricted randomization
“There are numerous applications where complete randomization or true replication is not practical or possible.” (page 269)
ISE 428 ETM 528 JMB CH 26 Lecture 2 6