Course Description
There are generally four items of interest when developing or qualifying a measurement system: accuracy or bias, precision, linearity, and stability. The MSA for Gauge R&R is concerned with precision. This second course covers the remaining items of accuracy or bias, linearity, and stability, along with comparisons and matching of measurement tools regarding accuracy and precision.

Stability is addressed with LTS, long term stability, monitors. A Type 1 gauge study provides a quick assessment of repeatability, bias, and stability and is suitable for a quick check of measurement performance, perhaps in R&D applications. A bias and linearity study gives guidance on calibration and accuracy issues. Finally, the course discusses measurement tool matching using a paired t-test, orthogonal regression, correlation for gauge linearity, an omnibus test for both accuracy and precision and ANOVA for repeated trial data.

Who Should Attend
This course is designed for engineers, quality professionals, researchers, and managers who need to use data in statistical applications and want to ensure that data is suitable for analysis regarding either matching of measurement instruments, bias and linearity assessment, or long term stability.

Learning Objectives
Through training, participants will learn:

• How to perform a Type 1 gauge study for assessment of repeatability, bias, and stability
• How to set up an LTS monitors for long term stability
• How to set up and analyze bias and linearity studies to assess the bias across the expected operating range along with a calibration curve
• How to match various measurement instruments for bias comparisons and precision comparisons suitable to qualify new measurement systems

Course Outline
Measurement Terminology and Type 1 Measurement Studies

• Accuracy, Bias and Linearity
• Type 1 Gauge Study
  • Planning the Study
  • Analysis and Interpretation
    • Cg and Cgk
• Uncertainty Basics
  • Reporting Measurement Values
    • Number of Digits to Report
    • Reporting Derived Quantities

Linearity and Bias Studies

• Linearity and Bias for the Mean
  • Applications for a Linearity and Bias Study
  • Design of a Linearity and Bias Study
  • Analysis and Interpretation of a Linearity and Bias Study
  • Equivalence Test for Practical Bias Assessment
• Linearity of Precision
• Basic Calibration Curves
  • Using a Calibration Curve
  • Inverse Prediction for Prediction Intervals

Measurement Tool Matching

• Orthogonal Regression
  • Why Orthogonal Regression is Necessary
  • Planning the Test
  • Analysis and Interpretation of the Test
• Gauge Linearity
  • Correlation
  • Correlation Criteria for Repeated Trial Data
• Comparison of Bias
  • Paired t-Test
  • Blackwood and Bradley Omnibus Test
  • ANOVA Comparisons

Prerequisites
MSA for Gauge R&R

Course Format
8 hours
Instructor-led class training, with opportunities to practice learned skills using prepared data
Minitab or JMP Statistical Software

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