|
Abstract:
|
We will extend on a case study presented last year, 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. However, in this case, the test equipment returned a set of curves as the response, as opposed to a single point. A functional random effects model is an appropriate model for this type of data. In this application, the functional model is expanded using basis splines and rewritten in a mixed model framework, where variance components can be estimated using standard methods. Due to the expansion, there are multiple variance components associated with each of the Part, Operator, and Part*Operator terms. We show that these variance components can be summed and fit into the form of a standard Gauge R&R computation, therefore providing a functional Gauge R&R analysis.
|
