Bootstrap style in T2 multivariable control panels

Hamza Ismail Shaheen; Firas Munther Jassim

doi:10.25098/1.3.24

Authors

Hamza Ismail Shaheen Department of Statistics, College of Administration and Economics, Al-Mustansiriya University, Mustansiriya, Iraq.
Firas Munther Jassim Department of Statistics, College of Administration and Economics, Al-Mustansiriya University, Mustansiriya, Iraq.

DOI:

https://doi.org/10.25098/1.3.24

Abstract

Control charts have been used to monitor processes and detect abnormal behaviors. However, most control charts establish their control limits when the distribution of the observed data is normal . The bootstrap method is a nonparametric technique that does not rely on the assumption of a distribution of the observed data. In this study we have been used a bootstrap in multivariate T² control chart that can efficiently monitor a process when the distribution of the observed data is non-normal or unknown .

A simulation study was conduct to evaluate the performance of the proposed control chart and compare it with a traditional Hotelling'sT² control chart . The results showed that the control chart using of the bootstrap performed better than the traditional T² control chart

References

-شاهين،حمزة اسماعيل و صالح،عائدة هادي(2013) . "أستخدام مقدرات حصينة للوحة السيطرة HotellingT^2 للمشاهدات المتفردة" , مجلة الادارة و الاقتصاد – الجامعة المستنصرية العدد 11 المجلد 8.

- شاهين ،حمزة أسماعيل و عبد المنعم ،رسول هادي (2016) "المقدر أللبي في تصميم لوحة السيطرة HotellingT^2 للمشاهدات المنفردة" , رسالة ماجستير/كلية ألادارة و الاقتصاد –الجامعة المستنصرية.

-Alvin,R.C.(2002) , "Method of Multivariate Analysis" . second edition

john Wiley and sons ,

-Bajgier , S.M.(1992) , "the use of bootsrapping to construct limits on control charts" , Proceeding of the decision science institute ,San diego .page 1611-1613

-Berimis ,S.Psarakis,S.andPanaretos,J.(2006) , "Multivariate statistical process control charts:an overview." , Quality and Reliability Engineering International ,23(5).517-543.

-Chakraborti ,S.,RanDer Laan,P.andBakir ,S.T.(2001), "Non Parameteric control chart ;an overview and some results" , Journal of quality technology 33(3),304-315.

-Chenouri ,S.E,variyath,A,M.andSteien. S.H.(2007) , "Multivariate control chart for individual observation " , http//wiskuleuren.b/stat/papers/rismcapdf.

-Hotelling ,H.(1947) , "Multivariate Quality control IN Techniques of statistical Analysis" , MC grawhill , new yourk , pp 111-184

- Montgomery , D.C.(2005) , " Introduction to statistical Quality control " , Fifth edition , wiley , new york .

-Poorich PhalaDiganon ,Seoun and Sum-KyoungPark , "Bootstrap – based T^2 multivariate control chart "

- Sullivan , J.H. , and Woodall , W. H. (1996) “ A Comparison of multivariate control charts for individual observation “ , Journal of Quality Technology , Vol 28 , No 4 , p398-408 .

www.uta.edu/cosomos/tech Reports/cosmos-10-1