Monitoring Multinomial Log it Profiles Via Log-Linear Models

Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJIEPR-24-2_005

تاریخ نمایه سازی: 7 شهریور 1393

Abstract:

In certain statistical process control applications, quality of a process or product can be characterized by a function commonly referred to as profile. Some of the potential applications of profile monitoring are cases where quality characteristic of interest is modelled using binary, multinomial or ordinal variables. In this paper, profiles with multinomial response are studied. For this purpose, multinomial log it regression (MLR) is considered as the basis. Then, the MLR is converted to Poisson GLM with log link. Two methods including Multivariate exponentially weighted moving average (MEWMA) statistics, and Likelihood ratio test (LRT) statistics are proposed to monitor MLR profiles in phase II. Performances of these three methods are evaluated by average run length criterion (ARL). A case study from alloy fasteners manufacturing process is used to illustrate the implementation of the proposed approach. Results indicate satisfactory performance for the proposed method.

Keywords:

Loglinear Models , Average Run Length (ARL) , Multivariate Exponentially Weighted Moving Average (MEWMA) , Multinomial Logit Regression , Profile Monitoring

Authors

R. Noorossana

Industrial Engineering Department, Iran University of Science and Technology

A. Saghaei

Industrial Engineering Department, Islamic Azad University, Science and Research Branch

H. Izadbakhsh

Industrial Engineering Department, Iran University of Science and Technology Tehran, Iran,

O. Aghababaei

Statistics Department, Faculty of Mathematical Sciences, ShahidBeheshti University, Tehran, Iran