Modified (MC_p) in the presence of measurement errors

Abstract

Purpose

The purpose of this paper is to introduce a modified MC_p by considering the effect of gauge measurement error on the multivariate process capability index.

Design/methodology/approach

In this paper, the effect of measurement system on the quality characteristics appears as coefficient matrix A which changes the variance‐covariance matrix of quality characteristics ∑, into A ∑. In this case, the authors investigate the properties of multivariate index and present adjusted confidence intervals and critical values for capability testing purpose of this index.

Findings

The results show that the simplicity of the obtained index, calculating the true process capability by using empirical process capability and also computing the critical value and power of the process capability testing is simpler in this modified approach.

Originality/value

The results presented in this paper would help practitioners to determine their actual process capability and see if their processes meet the preset capability requirement, and then make reliable decisions.

Citation

Zeinal Hamadani, A. and Ebadi, R. (2011), "Modified (MC_p) in the presence of measurement errors", Asian Journal on Quality, Vol. 12 No. 3, pp. 269-281. https://doi.org/10.1108/15982681111187100