# 18 GAGE R&R STUDY CROSSED, PART 3

18 GAGE R&R STUDY CROSSED
In the 18th Minitab tutorial, we will look at the final assembly of Smartboard Company and accompany the quality team as they carry out a so-called measurement system analysis, Gage R&R study crossed. In the first part of our multi-part Minitab tutorial, we will first familiarize ourselves with the fundamentals in order to understand the most important definitions, such as measurement accuracy, repeatability, and reproducibility, as well as linearity stability and resolution. Well equipped with the fundamentals, we will then move on to the practical implementation of crossed measurement system analysis in the second part, and take the opportunity to learn the difference between crossed and nested measurement system analysis. We will learn that there are basically two mathematical approaches to performing crossed measurement system analysis: One is the ARM method and the other is the ANOVA method. In order to better understand both methods, we will first carry out our crossed measurement system analysis using the ARM method in the second part of this training unit and, for comparison, carry out a crossed measurement system analysis using the ANOVA method on the basis of the same data set in the third part of this training unit. We will actively calculate both methods manually step by step, and derive the corresponding measurement system parameters, in order to understand how the results were generated in the Minitab output window.

MAIN TOPICS MINITAB TUTORIAL 18, part 1

• National and international MSA standards in comparison
• Process variation versus measurement system variation
• measurement accuracy
• Repeatability versus Reproducibility
• Linearity, Stability, Bias
• Number of distinct categories, tolerance resolution

MAIN TOPICS MINITAB TUTORIAL 18, part 2

• ARM analysis approach as part of a crossed measurement system analysis
• Difference between crossed, nested and expanded MSA
• Manual derivation of all scattering components according to the ARM method
• Manual derivation of the tolerance resolution based on the ndc parameter
• Operator-related R-chart analysis
• Manual derivation of the control limits in the R-chart
• Operator-related Xbar-chart analysis
• Manual derivation of the control limits in the Xbar-chart
• Individual value diagram for analyzing the data scatter
• Operator-dependent boxplot analysis
• Interpretation the Gage R&R Report
• Set ID variables in the Gage R&R Report

MAIN TOPICS MINITAB TUTORIAL 18, part 3

• ANOVA analysis approach as part of MSA crossed
• 2-way ANOVA table with interactions
• Manual derivation of all scattering components according to ANOVA method
• Manual calculation of the ndc-parameter
• Hypothesis test within the framework of the ANOVA method
• Hypothesis test regarding interaction effects