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This study proposes two multivariate control charts for monitoring process variability (MPVC) using a progressive approach. First, when the process parameters are known, the performance of the MPVC charts is compared with some multivariate dispersion schemes. The results showed that the proposed MPVC charts outperform their counterparts irrespective of the shifts in the process dispersion. The effects of the Phase I estimated covariance matrix on the efficiency of the MPVC charts were also evaluated. The performances of the proposed methods and their counterparts are evaluated by calculating some useful run length properties. An application of the proposed chart is also considered for the monitoring of a carbon fiber tubing process.<\/jats:p>","DOI":"10.1002\/qre.2887","type":"journal-article","created":{"date-parts":[[2021,4,26]],"date-time":"2021-04-26T17:27:57Z","timestamp":1619458077000},"page":"2724-2737","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["On the multivariate progressive control chart for effective monitoring of covariance matrix"],"prefix":"10.1002","volume":"37","author":[{"ORCID":"http:\/\/orcid.org\/0000-0001-8445-8155","authenticated-orcid":false,"given":"Jimoh Olawale","family":"Ajadi","sequence":"first","affiliation":[{"name":"Department of Technology School of Science and Technology The Open University of Hong Kong Kowloon Hong Kong"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-5421-7622","authenticated-orcid":false,"given":"Kevin","family":"Hung","sequence":"additional","affiliation":[{"name":"Department of Technology School of Science and Technology The Open University of Hong Kong Kowloon Hong Kong"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-7599-6928","authenticated-orcid":false,"given":"Muhammad","family":"Riaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia"}]},{"ORCID":"http:\/\/orcid.org\/0000-0003-2935-2491","authenticated-orcid":false,"given":"Nurudeen Ayobami","family":"Ajadi","sequence":"additional","affiliation":[{"name":"Department of Statistics Federal University of Agriculture Abeokuta Nigeria"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-8748-5949","authenticated-orcid":false,"given":"Tahir","family":"Mahmood","sequence":"additional","affiliation":[{"name":"Department of Technology School of Science and Technology The Open University of Hong Kong Kowloon Hong Kong"}]}],"member":"311","published-online":{"date-parts":[[2021,4,26]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2547"},{"key":"e_1_2_9_3_1","article-title":"Multivariate quality control\u2010illustrated by the air testing of sample bombsights","author":"Hotelling H","year":"1947","journal-title":"Techniques of Statistical Analysis"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijmedinf.2019.03.011"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1987.10488268"},{"key":"e_1_2_9_6_1","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1988.10488402"},{"key":"e_1_2_9_7_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.1990.11979237"},{"key":"e_1_2_9_8_1","doi-asserted-by":"publisher","DOI":"10.2307\/1269551"},{"key":"e_1_2_9_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.2000.10485986"},{"key":"e_1_2_9_10_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2016.1139132"},{"key":"e_1_2_9_11_1","first-page":"110","volume-title":"The Encyclopedia of Statistical Sciences","author":"Alt FB","year":"1985"},{"key":"e_1_2_9_12_1","doi-asserted-by":"publisher","DOI":"10.1081\/SAC-200047087"},{"key":"e_1_2_9_13_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2008.11917726"},{"key":"e_1_2_9_14_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.998"},{"key":"e_1_2_9_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2009.09.053"},{"key":"e_1_2_9_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2011.08.010"},{"key":"e_1_2_9_17_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2012.12.020"},{"key":"e_1_2_9_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2013.08.068"},{"key":"e_1_2_9_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2016.06.019"},{"key":"e_1_2_9_20_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1386"},{"key":"e_1_2_9_21_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2012.717668"},{"key":"e_1_2_9_22_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2444"},{"key":"e_1_2_9_23_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2655"},{"key":"e_1_2_9_24_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2149"},{"key":"e_1_2_9_25_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1458"},{"key":"e_1_2_9_26_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2018.09.013"},{"key":"e_1_2_9_27_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2017.11.015"},{"key":"e_1_2_9_28_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1613"},{"key":"e_1_2_9_29_1","doi-asserted-by":"publisher","DOI":"10.1108\/IJQRM-05-2020-0138"},{"key":"e_1_2_9_30_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2015.11918140"},{"key":"e_1_2_9_31_1","doi-asserted-by":"publisher","DOI":"10.1080\/08982112.2016.1144072"},{"key":"e_1_2_9_32_1","unstructured":"MontgomeryDC.Introduction to Statistical Quality Control. 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