Measurement Systems Analysis for Functional Data

• Activity Number: 349 - Quality, Reliability and Measurement System
• Type: Contributed
• Date/Time: Tuesday, July 30, 2019 : 10:30 AM to 12:20 PM
• Sponsor: Quality and Productivity Section
• Author(s): Laura Lancaster* and Chris Gotwalt
• Companies: SAS Institute Inc. and SAS Institute Inc.
• Keywords: functional data; measurement systems analysis; Gauge R&R

Abstract

Functional data analysis is receiving increasing attention in industry as awareness grows that many common engineering statistical problems are inherently functional in nature. New functional data analysis generalizations of many standard engineering and manufacturing analyses will need to be developed. We will present a case study where a client’s protocols required a Gauge R&R study be performed prior to running a functional response designed experiment. As in a standard Gauge R&R study there were 5 Parts, 3 Operators, and 5 replicates per combination of Part and Operator, but the test equipment returned a set of curve coordinates. To execute the Gauge R&R study we used functional data analysis methods to estimate each Part’s force by distance function and then subtracted them from the observed functions. These residual functions were decomposed into curves representing an Operator curve and a repeatability error. A Gauge R&R analysis could be done at each point of these curves leading to a measurement system performance estimate at each distance coordinate. We used the worst performing coordinate as the summary Gauge R&R for the entire range of distance locations.