Multivariate Measurement System Analysis Based on Projection Pursuit Method

Abstract

With the improvement of the automation of the measurement processes and the complexity of products, measurement system analysis is becoming increasingly important (Supported by National Natural Science Foundation of China (No.71102140, 70931004)). However, there exists some difficulty in directly application of univariate measurement system analysis for multiple measured quality characteristics with correlation and the univariate measurement system capability index cannot be used in multivariate measurement system. Therefore, in this paper projection pursuit is used to analyze the multivariate measurement system. The best projection direction is obtained by optimizing the projection direction with Genetic Algorithm, the relationship between multivariate data and there projection is analyzed. Then three common measurement system capability indices are extended to the multivariate measurement system with the projection of the raw data in order to evaluate multivariate measurement system capability, at last the method proposed was proved by an example.