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Volumn 7, Issue 11, 2019, Pages

Performance evaluation using multivariate non-normal process capability

Author keywords

Multivariate; Non normal data; Process capability index; Transformation techniques

Indexed keywords


EID: 85075561620     PISSN: None     EISSN: 22279717     Source Type: Journal    
DOI: 10.3390/pr7110833     Document Type: Article
Times cited : (7)

References (67)
  • 2
    • 0033408764 scopus 로고    scopus 로고
    • The impact of Six Sigma improvement-A glimpse into the future of statistics
    • Hahn, G.J.; Hill,W.J.; Hoerl, R.; Zinkgraf, S.A. The impact of Six Sigma improvement-A glimpse into the future of statistics. Am. Stat. 1999, 53, 208-215
    • (1999) Am. Stat , vol.53 , pp. 208-215
    • Hahn, G.J.1    Hill, W.J.2    Hoerl, R.3    Zinkgraf, S.A.4
  • 3
    • 33644780028 scopus 로고    scopus 로고
    • Quality evaluation of a manufactured product with multiple characteristics
    • Wang, F. Quality evaluation of a manufactured product with multiple characteristics. Qual. Reliab. Eng. Int. 2006, 22, 225-236
    • (2006) Qual. Reliab. Eng. Int , vol.22 , pp. 225-236
    • Wang, F.1
  • 4
    • 84861344391 scopus 로고
    • A note on multivariate capability indices
    • Taam, W.; Subbaiah, P.; Liddy, J.W. A note on multivariate capability indices. J. Appl. Stat. 1993, 20, 339-351
    • (1993) J. Appl. Stat , vol.20 , pp. 339-351
    • Taam, W.1    Subbaiah, P.2    Liddy, J.W.3
  • 5
    • 0000853425 scopus 로고
    • A multivariate process capability index over a rectangular solid tolerance zone
    • Chen, H. A multivariate process capability index over a rectangular solid tolerance zone. Stat. Sin. 1994, 4, 749-758
    • (1994) Stat. Sin , vol.4 , pp. 749-758
    • Chen, H.1
  • 9
    • 1642500731 scopus 로고    scopus 로고
    • A capability index for multiple process streams
    • Bothe, D.R. A capability index for multiple process streams. Qual. Eng. 1999, 11, 613-618
    • (1999) Qual. Eng , vol.11 , pp. 613-618
    • Bothe, D.R.1
  • 10
    • 0034165397 scopus 로고    scopus 로고
    • Using principal component analysis in process performance for multivariate data
    • Wang, F.K.; Du, T.C.T. Using principal component analysis in process performance for multivariate data. Omega-Int. J. Manag. Sci. 2000, 28, 185-194
    • (2000) Omega-Int. J. Manag. Sci , vol.28 , pp. 185-194
    • Wang, F.K.1    Du, T.C.T.2
  • 11
    • 84972952234 scopus 로고
    • Brocess Capability with Asymmetric Tolerances
    • Boyles, R.A. Brocess Capability with Asymmetric Tolerances. Commun. Stat.-Simul. Comput. 1994, 23, 615-643
    • (1994) Commun. Stat.-Simul. Comput , vol.23 , pp. 615-643
    • Boyles, R.A.1
  • 12
    • 1542482777 scopus 로고
    • Process capability analysis for processes with either a circular or a spherical tolerance zone
    • Davis, R.D.; Kaminsky, F.C.; Saboo, S. Process capability analysis for processes with either a circular or a spherical tolerance zone. Qual. Eng. 1992, 5, 41-54
    • (1992) Qual. Eng , vol.5 , pp. 41-54
    • Davis, R.D.1    Kaminsky, F.C.2    Saboo, S.3
  • 14
    • 1542571311 scopus 로고    scopus 로고
    • Viability and capability indexes for multiresponse processes
    • Veevers, A. Viability and capability indexes for multiresponse processes. J. Appl. Stat. 1998, 25, 545-558
    • (1998) J. Appl. Stat , vol.25 , pp. 545-558
    • Veevers, A.1
  • 15
    • 85017168191 scopus 로고    scopus 로고
    • Impact of measurement errors on the performance and distributional properties of the multivariate capability index
    • Dianda, D.F.; Quaglino, M.B.; Pagura, J.A. Impact of measurement errors on the performance and distributional properties of the multivariate capability index. AStA Adv. Stat. Anal. 2018, 102, 117-143
    • (2018) AStA Adv. Stat. Anal , vol.102 , pp. 117-143
    • Dianda, D.F.1    Quaglino, M.B.2    Pagura, J.A.3
  • 17
    • 85024474483 scopus 로고    scopus 로고
    • Unification of some multivariate process capability indices for asymmetric specification region
    • Chatterjee, M.; Chakraborty, A.K. Unification of some multivariate process capability indices for asymmetric specification region. Stat. Neerl. 2017, 71, 286-306
    • (2017) Stat. Neerl , vol.71 , pp. 286-306
    • Chatterjee, M.1    Chakraborty, A.K.2
  • 18
    • 84969751512 scopus 로고    scopus 로고
    • Distributional Properties of Multivariate Process Capability Indices under Normal and Non-Normal Distributions
    • Dianda, D.F.; Quaglino, M.B.; Pagura, J.A. Distributional Properties of Multivariate Process Capability Indices under Normal and Non-Normal Distributions. Qual. Reliab. Eng. Int. 2017, 33, 275-295
    • (2017) Qual. Reliab. Eng. Int , vol.33 , pp. 275-295
    • Dianda, D.F.1    Quaglino, M.B.2    Pagura, J.A.3
  • 19
    • 85075569858 scopus 로고    scopus 로고
    • A Multivariate Process Capability Index Based on Non-Conforming Probability, an Illustration about Monitoring the Quality of a ClarifiedWater Loop
    • Vasquez, M.; Ramirez, G.; Garcia, T. A Multivariate Process Capability Index Based on Non-Conforming Probability, an Illustration about Monitoring the Quality of a ClarifiedWater Loop. Ingenieria Uc 2016, 23, 319-326
    • (2016) Ingenieria Uc , vol.23 , pp. 319-326
    • Vasquez, M.1    Ramirez, G.2    Garcia, T.3
  • 20
    • 84953273090 scopus 로고    scopus 로고
    • New multivariate process capability indices for measuring the performance of multivariate processes subject to non-normal distributions
    • Pan, J.N.; Li, C.I.; Shih,W.C. New multivariate process capability indices for measuring the performance of multivariate processes subject to non-normal distributions. Int. J. Qual. Reliab. Manag. 2016, 33, 42-61
    • (2016) Int. J. Qual. Reliab. Manag , vol.33 , pp. 42-61
    • Pan, J.N.1    Li, C.I.2    Shih, W.C.3
  • 21
    • 84954109112 scopus 로고    scopus 로고
    • Multivariate Process Capability Index Based on Data Depth Concept
    • Ciupke, K. Multivariate Process Capability Index Based on Data Depth Concept. Qual. Reliab. Eng. Int. 2016, 32, 2443-2453
    • (2016) Qual. Reliab. Eng. Int , vol.32 , pp. 2443-2453
    • Ciupke, K.1
  • 22
    • 84921886389 scopus 로고    scopus 로고
    • Multivariate Process Capability Vector Based on One-Sided Model
    • Ciupke, K. Multivariate Process Capability Vector Based on One-Sided Model. Qual. Reliab. Eng. Int. 2015, 31, 313-327
    • (2015) Qual. Reliab. Eng. Int , vol.31 , pp. 313-327
    • Ciupke, K.1
  • 24
    • 84925746343 scopus 로고    scopus 로고
    • Developing New Multivariate Process Capability Indices for Autocorrelated Data
    • Pan, J.-N.; Huang, W.K.C. Developing New Multivariate Process Capability Indices for Autocorrelated Data. Qual. Reliab. Eng. Int. 2015, 31, 431-444
    • (2015) Qual. Reliab. Eng. Int , vol.31 , pp. 431-444
    • Pan, J.-N.1    Huang, W.K.C.2
  • 25
    • 84899421830 scopus 로고    scopus 로고
    • Multivariate Process Capability Indices: A Directional Approach
    • Siman, M. Multivariate Process Capability Indices: A Directional Approach. Commun. Stat.-Theory Methods 2014, 43, 1949-1955
    • (2014) Commun. Stat.-Theory Methods , vol.43 , pp. 1949-1955
    • Siman, M.1
  • 26
    • 84897850527 scopus 로고    scopus 로고
    • Modified Multivariate Process Capability Index Using Principal Component Analysis
    • Zhang, M.; Wang, G.A.; He, S.G.; He, Z. Modified Multivariate Process Capability Index Using Principal Component Analysis. Chin. J. Mech. Eng. 2014, 27, 249-259
    • (2014) Chin. J. Mech. Eng , vol.27 , pp. 249-259
    • Zhang, M.1    Wang, G.A.2    He, S.G.3    He, Z.4
  • 27
    • 84887118097 scopus 로고    scopus 로고
    • A Multivariate Process Capability Index Based on the First Principal Component Only
    • Tano, I.; Vannman, K. A Multivariate Process Capability Index Based on the First Principal Component Only. Qual. Reliab. Eng. Int. 2013, 29, 987-1003
    • (2013) Qual. Reliab. Eng. Int , vol.29 , pp. 987-1003
    • Tano, I.1    Vannman, K.2
  • 28
    • 84978252991 scopus 로고    scopus 로고
    • Multivariate Process Capability Index: A Review and Some Results
    • Das, N.; Dwivedi, P.S. Multivariate Process Capability Index: A Review and Some Results. Econ. Qual. Control 2013, 28, 151-166
    • (2013) Econ. Qual. Control , vol.28 , pp. 151-166
    • Das, N.1    Dwivedi, P.S.2
  • 29
    • 84870237239 scopus 로고    scopus 로고
    • A New Multivariate Process Capability Index Under Both Unilateral and Bilateral Quality Characteristics
    • Bashiri, M.J.M.; Amiri, A. A New Multivariate Process Capability Index Under Both Unilateral and Bilateral Quality Characteristics. Qual. Reliab. Eng. Int. 2012, 28, 925-941
    • (2012) Qual. Reliab. Eng. Int , vol.28 , pp. 925-941
    • Bashiri, M.J.M.1    Amiri, A.2
  • 31
    • 79955474317 scopus 로고    scopus 로고
    • Multivariate process capability using principal component analysis in the presence of measurement errors
    • Scagliarini, M. Multivariate process capability using principal component analysis in the presence of measurement errors. AStA Adv. Stat. Anal. 2011, 95, 113-128
    • (2011) AStA Adv. Stat. Anal , vol.95 , pp. 113-128
    • Scagliarini, M.1
  • 32
    • 76949083516 scopus 로고    scopus 로고
    • New capability indices for evaluating the performance of multivariate manufacturing processes
    • Pan, J.N.; Lee, C.Y. New capability indices for evaluating the performance of multivariate manufacturing processes. Qual. Reliab. Eng. Int. 2010, 26, 3-15
    • (2010) Qual. Reliab. Eng. Int , vol.26 , pp. 3-15
    • Pan, J.N.1    Lee, C.Y.2
  • 35
    • 35148814510 scopus 로고    scopus 로고
    • Multivariate capability indices: Distributional and inferential properties
    • Pearn, W.L.; Wang, F.K.; Yen, C.H. Multivariate capability indices: Distributional and inferential properties. J. Appl. Stat. 2007, 34, 941-962
    • (2007) J. Appl. Stat , vol.34 , pp. 941-962
    • Pearn, W.L.1    Wang, F.K.2    Yen, C.H.3
  • 36
    • 27544475996 scopus 로고    scopus 로고
    • Constructing multivariate process capability indices for short-run production
    • Wang, C.H. Constructing multivariate process capability indices for short-run production. Int. J. Adv. Manuf. Technol. 2005, 26, 1306-1311
    • (2005) Int. J. Adv. Manuf. Technol , vol.26 , pp. 1306-1311
    • Wang, C.H.1
  • 37
    • 0002514374 scopus 로고    scopus 로고
    • Capability index using principal components analysis
    • Wang, F.; Chen, J.C. Capability index using principal components analysis. Qual. Eng. 1998, 11, 21-27
    • (1998) Qual. Eng , vol.11 , pp. 21-27
    • Wang, F.1    Chen, J.C.2
  • 38
    • 0000774863 scopus 로고    scopus 로고
    • Evaluation of non-normal process capability indices using Burr's distributions
    • Castagliola, P. Evaluation of non-normal process capability indices using Burr's distributions. Qual. Eng. 1996, 8, 587-593
    • (1996) Qual. Eng , vol.8 , pp. 587-593
    • Castagliola, P.1
  • 39
    • 81755184365 scopus 로고    scopus 로고
    • Capability Assessment for Processes with Multiple Characteristics: A Generalization of the Popular Index C-pk
    • Pearn,W.L.; Shiau, J.J.H.; Tai, Y.T.; Li, M.Y. Capability Assessment for Processes with Multiple Characteristics: A Generalization of the Popular Index C-pk. Qual. Reliab. Eng. Int. 2011, 27, 1119-1129
    • (2011) Qual. Reliab. Eng. Int , vol.27 , pp. 1119-1129
    • Pearn, W.L.1    Shiau, J.J.H.2    Tai, Y.T.3    Li, M.Y.4
  • 40
    • 84878018145 scopus 로고    scopus 로고
    • Yield-related process capability indices for processes of multiple quality characteristics
    • Shiau, J.J.H.; Yen, C.L.; Pearn, W.; Lee, W.T. Yield-related process capability indices for processes of multiple quality characteristics. Qual. Reliab. Eng. Int. 2013, 29, 487-507
    • (2013) Qual. Reliab. Eng. Int , vol.29 , pp. 487-507
    • Shiau, J.J.H.1    Yen, C.L.2    Pearn, W.3    Lee, W.T.4
  • 41
    • 78650296626 scopus 로고    scopus 로고
    • Estimating process capability indices of multivariate nonnormal processes
    • Abbasi, B.; Niaki, S.T.A. Estimating process capability indices of multivariate nonnormal processes. Int. J. Adv. Manuf. Technol. 2010, 50, 823-830
    • (2010) Int. J. Adv. Manuf. Technol , vol.50 , pp. 823-830
    • Abbasi, B.1    Niaki, S.T.A.2
  • 43
    • 0003168393 scopus 로고
    • Process Capability Calculations for Non-Normal Distributions
    • Clements, J.A. Process Capability Calculations for Non-Normal Distributions. Qual. Prog. 1989, 22, 95-97
    • (1989) Qual. Prog , vol.22 , pp. 95-97
    • Clements, J.A.1
  • 44
    • 0000687864 scopus 로고    scopus 로고
    • Process capability indices and non-normal distributions
    • Somerville, S.E.; Montgomery, D.C.J.Q.E. Process capability indices and non-normal distributions. Qual. Eng. 1996, 9, 305-316
    • (1996) Qual. Eng , vol.9 , pp. 305-316
    • Somerville, S.E.1    Montgomery, D.C.J.Q.E.2
  • 45
    • 0005893169 scopus 로고    scopus 로고
    • On the gap between theory and practice of process capability studies
    • Deleryd, M.; Management, R. On the gap between theory and practice of process capability studies. Int. J. Qual. Reliab. Manag. 1998, 15, 178-191
    • (1998) Int. J. Qual. Reliab. Manag , vol.15 , pp. 178-191
    • Deleryd, M.1    Management, R.2
  • 46
    • 31844441880 scopus 로고    scopus 로고
    • Discussions of the Clements-based process capability indices
    • Hsin-Hua, Taiwan, December
    • Wu, H.; Wang, J.; Liu, T. Discussions of the Clements-based process capability indices. In Proceedings of the 1998 CIIE National Conference, Hsin-Hua, Taiwan, December 1998; pp. 561-566
    • (1998) Proceedings of the 1998 CIIE National Conference , pp. 561-566
    • Wu, H.1    Wang, J.2    Liu, T.3
  • 47
    • 0002714736 scopus 로고    scopus 로고
    • Process capability indices-A review, 1992-2000
    • Kotz, S.; Johnson, N.L. Process capability indices-A review, 1992-2000. J. Qual. Technol. 2002, 34, 2-19
    • (2002) J. Qual. Technol , vol.34 , pp. 2-19
    • Kotz, S.1    Johnson, N.L.2
  • 48
    • 31844435263 scopus 로고    scopus 로고
    • Process capability analysis of non-normal process data using the Burr XII distribution
    • Liu, P.-H.; Chen, F.-L. Process capability analysis of non-normal process data using the Burr XII distribution. Int. J. Adv. Manuf. Technol. 2006, 27, 975-984
    • (2006) Int. J. Adv. Manuf. Technol , vol.27 , pp. 975-984
    • Liu, P.-H.1    Chen, F.-L.2
  • 49
    • 85028702826 scopus 로고    scopus 로고
    • A systematic look at the gamma process capability indices
    • Piao, C.; Zhi-Sheng, Y. A systematic look at the gamma process capability indices. Eur. J. Oper. Res. 2018, 265, 589-597
    • (2018) Eur. J. Oper. Res , vol.265 , pp. 589-597
    • Piao, C.1    Zhi-Sheng, Y.2
  • 50
    • 85016065249 scopus 로고    scopus 로고
    • Process capability analysis in non-normality based on Box-Cox transformation and Johnson transformation
    • Li, C.-J.; Deng, W.-P.; Cao, Y.-Y.; Bao, Y. Process capability analysis in non-normality based on Box-Cox transformation and Johnson transformation. J. Qiqihar Univ. (Nat. Sci. Ed.) 2015, 1, 66-70
    • (2015) J. Qiqihar Univ. (Nat. Sci. Ed.) , vol.1 , pp. 66-70
    • Li, C.-J.1    Deng, W.-P.2    Cao, Y.-Y.3    Bao, Y.4
  • 51
    • 1542791625 scopus 로고    scopus 로고
    • A general multivariate Bayesian process capability index
    • Bernardo, J.M.; Irony, T.Z. A general multivariate Bayesian process capability index. J. R. Stat. Soc. Ser. D 1996, 45, 487-502
    • (1996) J. R. Stat. Soc. Ser. D , vol.45 , pp. 487-502
    • Bernardo, J.M.1    Irony, T.Z.2
  • 52
    • 1642500725 scopus 로고    scopus 로고
    • Quality evaluation using geometric distance approach
    • Wang, F.-K.; Hubele, N.F. Quality evaluation using geometric distance approach. Int. J. Reliab. Qual. Saf. Eng. 1999, 6, 139-153
    • (1999) Int. J. Reliab. Qual. Saf. Eng , vol.6 , pp. 139-153
    • Wang, F.-K.1    Hubele, N.F.2
  • 53
    • 24044440983 scopus 로고    scopus 로고
    • Evaluation of nonnormal process capability indices using generalized lambda distribution
    • Pal, S.J.Q.E. Evaluation of nonnormal process capability indices using generalized lambda distribution. Qual. Eng. 2004, 17, 77-85
    • (2004) Qual. Eng , vol.17 , pp. 77-85
    • Pal, S.J.Q.E.1
  • 54
    • 31644444959 scopus 로고    scopus 로고
    • Process capability analysis for a multi-process product
    • Chen, K.-S.; Hsu, C.-H.; Wu, C.-C. Process capability analysis for a multi-process product. Int. J. Adv. Manuf. Technol. 2006, 27, 1235-1241
    • (2006) Int. J. Adv. Manuf. Technol , vol.27 , pp. 1235-1241
    • Chen, K.-S.1    Hsu, C.-H.2    Wu, C.-C.3
  • 55
    • 34548297562 scopus 로고    scopus 로고
    • Skewness reduction approach in multi-attribute process monitoring
    • Niaki, S.T.A.; Abbasi, B. Skewness reduction approach in multi-attribute process monitoring. Commun. Stat. Theory Methods 2007, 36, 2313-2325
    • (2007) Commun. Stat. Theory Methods , vol.36 , pp. 2313-2325
    • Niaki, S.T.A.1    Abbasi, B.2
  • 56
    • 84861347644 scopus 로고    scopus 로고
    • On the Implementation of the Principal Component Analysis-Based Approach in Measuring Process Capability
    • Perakis, M.; Xekalaki, E. On the Implementation of the Principal Component Analysis-Based Approach in Measuring Process Capability. Qual. Reliab. Eng. Int. 2012, 28, 467-480
    • (2012) Qual. Reliab. Eng. Int , vol.28 , pp. 467-480
    • Perakis, M.1    Xekalaki, E.2
  • 57
    • 84945231460 scopus 로고    scopus 로고
    • A new process capability index for multiple quality characteristics based on principal components
    • Dharmasena, L.; Zeephongsekul, P. A new process capability index for multiple quality characteristics based on principal components. Int. J. Prod. Res. 2016, 54, 4617-4633
    • (2016) Int. J. Prod. Res , vol.54 , pp. 4617-4633
    • Dharmasena, L.1    Zeephongsekul, P.2
  • 58
    • 85075547403 scopus 로고    scopus 로고
    • A multivariate process capability index with a spatial coeffcient
    • Shaoxi, W.; Mingxin, W.; Xiaoya, F.; Shengbing, Z.; Ru, H. A multivariate process capability index with a spatial coeffcient. J. Semicond. 2013, 34
    • (2013) J. Semicond , pp. 34
    • Shaoxi, W.1    Mingxin, W.2    Xiaoya, F.3    Shengbing, Z.4    Ru, H.5
  • 59
    • 84925746963 scopus 로고    scopus 로고
    • Yield-based capability index for evaluating the performance of multivariate manufacturing process
    • Gu, K.; Jia, X.; Liu, H.; You, H. Yield-based capability index for evaluating the performance of multivariate manufacturing process. Qual. Reliab. Eng. Int. 2015, 31, 419-430
    • (2015) Qual. Reliab. Eng. Int , vol.31 , pp. 419-430
    • Gu, K.1    Jia, X.2    Liu, H.3    You, H.4
  • 60
    • 85028553100 scopus 로고    scopus 로고
    • Process capability index for bivariate exponentially distributed quality characteristics and its sampling properties
    • Tiwari, V.; Singh, N. Process capability index for bivariate exponentially distributed quality characteristics and its sampling properties. Commun. Stat.-Theory Methods 2017, 46, 11099-11109
    • (2017) Commun. Stat.-Theory Methods , vol.46 , pp. 11099-11109
    • Tiwari, V.1    Singh, N.2
  • 61
  • 62
    • 39049139625 scopus 로고
    • Systems of frequency curves generated by methods of translation
    • Johnson, N.L.J.B. Systems of frequency curves generated by methods of translation. Biometrika 1949, 36, 149-176
    • (1949) Biometrika , vol.36 , pp. 149-176
    • Johnson, N.L.J.B.1
  • 65
    • 85075571807 scopus 로고
    • Application of Clements' Method for Calculating Second-and Third-Generation Process Capability Indices for Non-Normal Personian Populations
    • Pearn, W.; Kotz, S. Application of Clements' Method for Calculating Second-and Third-Generation Process Capability Indices for Non-Normal Personian Populations. Qual. Eng. 1994, 7
    • (1994) Qual. Eng , pp. 7
    • Pearn, W.1    Kotz, S.2
  • 66
    • 0003070321 scopus 로고
    • Process Capability Indexes
    • Kane, V. Process Capability Indexes. J. Qual. Technol. 1986, 18, 41-52
    • (1986) J. Qual. Technol , vol.18 , pp. 41-52
    • Kane, V.1
  • 67
    • 85075570502 scopus 로고    scopus 로고
    • (accessed on 7 November 2019)
    • Telmoudi, P.R.AMulti-Stream Process Capability Assessment Using a Nonconformity Ratio Based Desirability Function, 2005. Available online: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.428.3059 (accessed on 7 November 2019)


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