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

2. ISE 428 ETM 591 JMB CH 26 Lecture 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 2

3. ISE 428 ETM 591 JMB CH 26 Lecture 2 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 3

4. ISE 428 ETM 591 JMB CH 26 Lecture 2 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 4

5. ISE 428 ETM 591 JMB CH 26 Lecture 2 Gage R &R Methods  Tabular  “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 p-values to determine significance of the main effects and the interaction between the factors 5

6. ISE 428 ETM 591 JMB CH 26 Lecture 2 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  Replicates vs. repeated measures?  Restricted randomization  “There are numerous applications where complete randomization or true replication is not practical or possible.” (page 269) 6