Profile monitoring using synthetic T 2 control chart

In this paper, we propose synthetic T 2 chart for monitoring different parameters including Slope, Intercept and Error variance for simple and multiple linear regression profiles in Phase II. The construction and optimal design of the proposed synthetic T 2 chart are discussed in detail. The steady-...

Full description

Saved in:
Bibliographic Details
Published inCommunications in statistics. Simulation and computation Vol. 54; no. 6; pp. 1622 - 1637
Main Authors Ghadge, Onkar, Ghute, Vikas
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.06.2025
Subjects
Average run length
Control chart
Intercept
Linear regression profiles
Slope
Online AccessGet full text

Cover

Abstract In this paper, we propose synthetic T 2 chart for monitoring different parameters including Slope, Intercept and Error variance for simple and multiple linear regression profiles in Phase II. The construction and optimal design of the proposed synthetic T 2 chart are discussed in detail. The steady-state performance of the proposed chart is evaluated by the Average Run Length (ARL) and Standard Deviation of Run Length (SDRL) and is compared with the existing charts in the literature for monitoring simple and multiple linear profiles. It turns out that the proposed synthetic T 2 chart performs uniformly better than the traditional T 2 chart in detecting different kinds of shifts in the parameters of the simple and multiple linear profiles under steady-state run length performance. An example with a real data set is also presented to explain the implementation of the proposed chart.
AbstractList In this paper, we propose synthetic T 2 chart for monitoring different parameters including Slope, Intercept and Error variance for simple and multiple linear regression profiles in Phase II. The construction and optimal design of the proposed synthetic T 2 chart are discussed in detail. The steady-state performance of the proposed chart is evaluated by the Average Run Length (ARL) and Standard Deviation of Run Length (SDRL) and is compared with the existing charts in the literature for monitoring simple and multiple linear profiles. It turns out that the proposed synthetic T 2 chart performs uniformly better than the traditional T 2 chart in detecting different kinds of shifts in the parameters of the simple and multiple linear profiles under steady-state run length performance. An example with a real data set is also presented to explain the implementation of the proposed chart.
Author Ghute, Vikas
Ghadge, Onkar
Author_xml – sequence: 1
  givenname: Onkar
  orcidid: 0000-0002-5468-0449
  surname: Ghadge
  fullname: Ghadge, Onkar
  organization: Department of Statistics, Punyashlok Ahilyadevi Holkar Solapur University
– sequence: 2
  givenname: Vikas
  orcidid: 0000-0002-6862-3891
  surname: Ghute
  fullname: Ghute, Vikas
  organization: Department of Statistics, Punyashlok Ahilyadevi Holkar Solapur University
BookMark eNp9j81KxDAUhYOMYGf0EYS-QOtNbtqkO2XwDwZ0Ma5DJk2cSJtIUpF5ey0zbt2csznfgW9JFiEGS8g1hZqChBvAlkJHZc2AYc1YRxHxjBS0QVZxyumCFPOmmkcXZJnzBwCg5LIg_DVF5wdbjjH4KSYf3suvPGc-hGlvJ2_KbclKE8OU4lCavU7TJTl3esj26tQr8vZwv10_VZuXx-f13aYyFBArgYxbyaB3Uu6oED1iT5lrd0aDc65laEXfOQGsabmWLboGG8Fb2wlhXQ-4Is3x16SYc7JOfSY_6nRQFNSsrv7U1ayuTuq_3O2R88HFNOrvmIZeTfowxOSSDsZnhf9f_AB8H2CV
Cites_doi 10.1080/03610910903019905
10.1080/00224065.2002.11980146
10.1080/00949655.2022.2111428
10.1198/004017007000000164
10.1080/08982112.2022.2164725
10.1080/00224065.1991.11979328
10.1002/qre.2491
10.1590/S0103-65132007000300002
10.1080/03610910802305017
10.1007/s00170-018-2149-9
10.1080/03610920701824265
10.1080/03610920802178413
10.1002/qre.2965
10.1002/qre.1551
10.1007/s00170-003-2010-6
10.1080/00224065.2000.11979969
10.1080/16843703.2008.11673401
10.1080/00224065.2000.11980027
10.1109/ACCESS.2020.3006449
10.1080/00224065.2016.11918158
10.1007/s00170-011-3406-3
10.1002/qre.1189
10.1080/00207540500409855
10.1016/j.cie.2018.10.008
10.1016/j.cie.2004.11.001
10.1002/qre.3128
10.1080/00224065.2003.11980225
10.1080/00224065.2004.11980276
ContentType Journal Article
Copyright 2023 Taylor & Francis Group, LLC 2023
Copyright_xml – notice: 2023 Taylor & Francis Group, LLC 2023
DBID AAYXX
CITATION
DOI 10.1080/03610918.2023.2291333
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Statistics
Mathematics
Computer Science
EISSN 1532-4141
EndPage 1637
ExternalDocumentID 10_1080_03610918_2023_2291333
2291333
Genre Research Article
GroupedDBID -~X
.7F
.DC
.QJ
0BK
0R~
29F
2DF
30N
4.4
5GY
5VS
8VB
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABEHJ
ABFIM
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACIWK
ACTIO
ADCVX
ADXPE
ADYSH
AEISY
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AMPGV
AQRUH
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
CS3
DKSSO
EBS
E~A
E~B
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
LJTGL
M4Z
NA5
O9-
P2P
QWB
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TN5
TTHFI
TUROJ
TWF
UPT
UT5
UU3
WH7
ZGOLN
ZL0
~S~
AAYXX
CITATION
ID FETCH-LOGICAL-c1033-7324e820df88b177d33d12f6bca0fff623e7d9f702564a863f535746e977efd03
ISSN 0361-0918
IngestDate Thu Jul 10 07:42:24 EDT 2025
Thu Jul 03 04:11:28 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c1033-7324e820df88b177d33d12f6bca0fff623e7d9f702564a863f535746e977efd03
ORCID 0000-0002-5468-0449
0000-0002-6862-3891
PageCount 16
ParticipantIDs informaworld_taylorfrancis_310_1080_03610918_2023_2291333
crossref_primary_10_1080_03610918_2023_2291333
PublicationCentury 2000
PublicationDate 6/3/2025
2025-06-03
PublicationDateYYYYMMDD 2025-06-03
PublicationDate_xml – month: 06
  year: 2025
  text: 6/3/2025
  day: 03
PublicationDecade 2020
PublicationTitle Communications in statistics. Simulation and computation
PublicationYear 2025
Publisher Taylor & Francis
Publisher_xml – name: Taylor & Francis
References e_1_3_3_18_1
e_1_3_3_17_1
e_1_3_3_19_1
e_1_3_3_14_1
e_1_3_3_13_1
e_1_3_3_16_1
e_1_3_3_15_1
e_1_3_3_10_1
e_1_3_3_12_1
e_1_3_3_11_1
e_1_3_3_7_1
e_1_3_3_6_1
e_1_3_3_9_1
e_1_3_3_8_1
e_1_3_3_29_1
e_1_3_3_28_1
e_1_3_3_25_1
e_1_3_3_24_1
e_1_3_3_27_1
e_1_3_3_26_1
e_1_3_3_3_1
e_1_3_3_21_1
e_1_3_3_2_1
e_1_3_3_20_1
e_1_3_3_5_1
e_1_3_3_23_1
e_1_3_3_4_1
e_1_3_3_22_1
References_xml – ident: e_1_3_3_12_1
  doi: 10.1080/03610910903019905
– ident: e_1_3_3_6_1
  doi: 10.1080/00224065.2002.11980146
– ident: e_1_3_3_17_1
  doi: 10.1080/00949655.2022.2111428
– ident: e_1_3_3_29_1
  doi: 10.1198/004017007000000164
– ident: e_1_3_3_24_1
  doi: 10.1080/08982112.2022.2164725
– ident: e_1_3_3_4_1
  doi: 10.1080/00224065.1991.11979328
– ident: e_1_3_3_22_1
  doi: 10.1002/qre.2491
– ident: e_1_3_3_26_1
  doi: 10.1590/S0103-65132007000300002
– ident: e_1_3_3_18_1
  doi: 10.1080/03610910802305017
– ident: e_1_3_3_19_1
  doi: 10.1007/s00170-018-2149-9
– ident: e_1_3_3_7_1
  doi: 10.1080/03610920701824265
– ident: e_1_3_3_3_1
  doi: 10.1080/03610920802178413
– ident: e_1_3_3_25_1
  doi: 10.1002/qre.2965
– ident: e_1_3_3_21_1
  doi: 10.1002/qre.1551
– ident: e_1_3_3_5_1
  doi: 10.1007/s00170-003-2010-6
– ident: e_1_3_3_28_1
  doi: 10.1080/00224065.2000.11979969
– ident: e_1_3_3_8_1
  doi: 10.1080/16843703.2008.11673401
– ident: e_1_3_3_11_1
  doi: 10.1080/00224065.2000.11980027
– ident: e_1_3_3_23_1
  doi: 10.1109/ACCESS.2020.3006449
– ident: e_1_3_3_15_1
  doi: 10.1080/00224065.2016.11918158
– ident: e_1_3_3_2_1
  doi: 10.1007/s00170-011-3406-3
– ident: e_1_3_3_13_1
  doi: 10.1002/qre.1189
– ident: e_1_3_3_9_1
  doi: 10.1080/00207540500409855
– ident: e_1_3_3_20_1
  doi: 10.1016/j.cie.2018.10.008
– ident: e_1_3_3_10_1
  doi: 10.1016/j.cie.2004.11.001
– ident: e_1_3_3_16_1
  doi: 10.1002/qre.3128
– ident: e_1_3_3_14_1
  doi: 10.1080/00224065.2003.11980225
– ident: e_1_3_3_27_1
  doi: 10.1080/00224065.2004.11980276
SSID ssj0003848
Score 2.3655803
Snippet In this paper, we propose synthetic T 2 chart for monitoring different parameters including Slope, Intercept and Error variance for simple and multiple linear...
SourceID crossref
informaworld
SourceType Index Database
Publisher
StartPage 1622
SubjectTerms Average run length
Control chart
Intercept
Linear regression profiles
Slope
Title Profile monitoring using synthetic T 2 control chart
URI https://www.tandfonline.com/doi/abs/10.1080/03610918.2023.2291333
Volume 54
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8QwEA6rXvTgY1VcX-TgbemyTdKmPYr4QPABruLJ0jYJiljF3R701zt5tNvKIuqlLIFN28zXyZdk5huEDjIpADUq8vKYE4-lLPcywQKPBjIT-suUoc4dvrgMz27Z-X1w3-k8NKKWykk2yD9n5pX8x6rQBnbVWbJ_sGzdKTTAb7AvXMHCcP2Vja9twe3-i_kwTSRdadb-448CiJ3WYh31SR2OrjOsWlvxrewQExir84usdPOgf_P04mp7Vclvb2X74P70MXWl2a-K5_R92lzaont3T89pa1-BBCb-iTbcDw19D9iE9Y6yco9gUN9KVVX-04pAO5w0naEf2pRjN7EC8-MznbaLcqRa-d3X4XaEDgiJYfVMp7NUdTL_bfKqQwr9SuvUdZPobhLXzRxaILCM0BUu6PCynqlpZKqr1W9aZXhp7fVZT9PiLi1l2wYnGa2iZbeYwIcWGWuoI4suWqkKdWDnt7to6aIW5x130eJNbeR1xByG8BRD2GAI1xjCI0ywwxA2GNpAtyfHo6Mzz1XS8HJfF-vjQJslcD2hokjrjQlKhU9UmOXpUCkFFFhyESuuCTBLo5CqgAachRJWB1KJId1E88VrIbcQzhiDcdGH8VKwLMpT6oeKR-CQhjTnMe-hQTVGyZsVTEl-tE0Pxc2RTCZmp0rZsjIJ_fG_23-92Q5anGJ9F81P3ku5B6xyku0baHwBCB5s1A
linkProvider Taylor & Francis
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwED5BGSgDhQKiPD2wJiSxEycjQlQF2oqhlbpF8YsBERBNB_j1-PKoWiRY2HORY5_Pny933wdwJbSyXmNiRyY8cFjGpCMUCx0aaqFwZ-oIe4dH42gwZQ-zcLbSC4NllXiHNhVRRBmrcXNjMropibu2URf5LLEyK6BuECT2okU3YStMIo4qBtQbL6MxjUsFLTRx0Kbp4vntNWvn0xp76cq50--AbEZclZu8uItCuPLrB5nj_z5pD3ZrWEpuKj_ahw2dd6HTSD6QOgJ0YWe0pHmdd6GNULViej4A9lTJf5PXMkxgvpBgVf0zmX_m1sg-RSYkIHVxPMF-r-IQpv27ye3AqTUZHOmj7Bu3AExb1KBMHCNzlaJU-YGJhMw8Y4wFU5qrxHCEUiyLI2pCGnIWaYsztVEePYJW_pbrYyCC2bulj791tWIilhn1I8Nj69oelTzhPXCblUjfK-qN1G8YTevpSnG60nq6epCsrldalDkPUwmUpPRP25N_2F7C9mAyGqbD-_HjKbQDVAjGPA09g1bxsdDnFrYU4qL0y283md1m
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV09T8MwED1BkVAZKBQQ5dMDa0ISO3EyIqAqH606tBJbFMc2AyJUJB3g1-PLR9UiwdI9FyXO-fzsvHsP4EooabJGh1Yacc9iCUstIZlvUV8JiTNTBdg7PBwFgyl7fPEbNmFe0ypxD60roYiyVuPknkndMOKuTdFFOUskZnnU9rzI7LPoJmwFKB6OXRzOaFGMaVgaaGGIhTFNE89ft1lZnlbES5eWnX4HRPPAFdvkzZ4Xwk6_f2k5rvVGe7Bbg1JyU2XRPmyorAudxvCB1PO_CzvDhchr3oU2AtVK5_kA2Lgy_ybvZZHA00KCnPpXkn9lJshcRSbEIzU1nmC3V3EI0_795HZg1Y4MVuqi6Rs38EsZzCB1GKJulaRUup4ORJo4WmsDpRSXkeYIpFgSBlT71OcsUAZlKi0degSt7CNTx0AEMztLF3_qKslEmCbUDTQPTWI7NOUR74HdfIh4VglvxG6jZ1oPV4zDFdfD1YNo-XPFRXnioSt7kpj-G3uyRuwlbI_v-vHzw-jpFNoe2gPjIQ09g1bxOVfnBrMU4qLMyh-MHdwK
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Profile+monitoring+using+synthetic+T+2+control+chart&rft.jtitle=Communications+in+statistics.+Simulation+and+computation&rft.au=Ghadge%2C+Onkar&rft.au=Ghute%2C+Vikas&rft.date=2025-06-03&rft.issn=0361-0918&rft.eissn=1532-4141&rft.volume=54&rft.issue=6&rft.spage=1622&rft.epage=1637&rft_id=info:doi/10.1080%2F03610918.2023.2291333&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_03610918_2023_2291333
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0361-0918&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0361-0918&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0361-0918&client=summon