Some new methods for comparing the capability of two processes using process capability index Cpm

Abstract

PurposeThe purpose of the paper is the construction of confidence intervals for the ratio of the values of process capability index Cpm for two processes. These confidence intervals can be used for comparing the capability of any pair of competitive processes.Design/methodology/approachTwo methods for constructing confidence intervals for the ratio of the values of process capability index Cpm for two processes are proposed. The suggested techniques are based on a two-step approximation of the doubly non-central F distribution. Their performance is tested via simulation.FindingsThe performance of the suggested techniques seems to be rather satisfactory even for small samples, as illustrated through the use of simulated data.Practical implicationsThe practical implication of the suggested techniques is that they can be implemented in real-world applications, since they can be used for comparing the capability of any pair of competitive processes.Originality/valueThe paper presents two new methods for constructing confidence intervals for the ratio of the values of process capability index Cpm for two processes.