Vision-related quality of life (QoL) analyzes the visual function concerning individual well-being based on activity and social participation. Because QoL is a multivariate construct, a multivariate statistical method must be used to analyze this construct. In this paper, we present a methodology based on STATIS multivariate three-way methods to assess the real change in vision-related QoL for myopic patients by comparing their conditions before and after corneal surgery. We conduct a case study in Costa Rica to detect the outcomes of patients referred for myopia that underwent refractive surgery. We consider a descriptive, observational and prospective study. We utilize the NEI VFQ-25 instrument to measure the vision-related QoL in five different stages over three months. After applying this instrument/questionnaire, a statistically significant difference was detected between the perceived QoL levels. In addition, strong correlations were identified with highly similar structures ranging from 0.857 to 0.940. The application of the dual STATIS method found the non-existence of reconceptualization in myopic patients, but a statistically significant recalibration was identified. Furthermore, a real change was observed in all patients after surgery. This finding has not been stated previously due to the limitations of the existing statistical tools. We demonstrated that dual STATIS is a multivariate method capable of evaluating vision-related QoL data and detecting changes in recalibration and reconceptualization.
Citation: Francisco J. Perdomo-Argüello, Estelina Ortega-Gómez, Purificación Galindo-Villardón, Víctor Leiva, Purificación Vicente-Galindo. STATIS multivariate three-way method for evaluating quality of life after corneal surgery: Methodology and case study in Costa Rica[J]. Mathematical Biosciences and Engineering, 2023, 20(4): 6110-6133. doi: 10.3934/mbe.2023264
Vision-related quality of life (QoL) analyzes the visual function concerning individual well-being based on activity and social participation. Because QoL is a multivariate construct, a multivariate statistical method must be used to analyze this construct. In this paper, we present a methodology based on STATIS multivariate three-way methods to assess the real change in vision-related QoL for myopic patients by comparing their conditions before and after corneal surgery. We conduct a case study in Costa Rica to detect the outcomes of patients referred for myopia that underwent refractive surgery. We consider a descriptive, observational and prospective study. We utilize the NEI VFQ-25 instrument to measure the vision-related QoL in five different stages over three months. After applying this instrument/questionnaire, a statistically significant difference was detected between the perceived QoL levels. In addition, strong correlations were identified with highly similar structures ranging from 0.857 to 0.940. The application of the dual STATIS method found the non-existence of reconceptualization in myopic patients, but a statistically significant recalibration was identified. Furthermore, a real change was observed in all patients after surgery. This finding has not been stated previously due to the limitations of the existing statistical tools. We demonstrated that dual STATIS is a multivariate method capable of evaluating vision-related QoL data and detecting changes in recalibration and reconceptualization.
| [1] |
X. Zheng, Z. Li, X. Chun, X. Yang, K. Liu, A model-based method with geometric solutions for gaze correction in eye-tracking, Math. Biosci. Eng., 17 (2020), 33–74. https://doi.org/10.3934/mbe.2020071 doi: 10.3934/mbe.2020071
|
| [2] |
C. Zhao, C. Cai, Q. Ding, H. Dai, Efficacy and safety of atropine to control myopia progression: A systematic review and meta-analysis, BMC Ophthalmol., 20 (2020), 478. https://doi.org/10.1186/s12886-020-01746-w doi: 10.1186/s12886-020-01746-w
|
| [3] |
T. A. Althomali, Relative proportion of different types of refractive errors in subjects seeking laser vision correction, Open Ophthalmol. J., 12 (2018), 53–62. https://doi.org/10.2174/1874364101812010053 doi: 10.2174/1874364101812010053
|
| [4] | World Health Organization, The impact of myopia and high myopia: Report of the Joint World Health Organization - Brien Holden Vision Institute Global Scientific Meeting on Myopia. University of New South Wales, Sydney, Australia, 2016. |
| [5] |
S. L. Trokel, R. Srinivasan, B. Braren, Excimer laser surgery of the cornea, Am. J. Ophthalmol., 96 (1983), 710–715. https://doi.org/10.1016/S0002-9394(14)71911-7 doi: 10.1016/S0002-9394(14)71911-7
|
| [6] |
Y. Song, L. Fang, Q. Zhu, R. Du, B. Guo, J. Gong, et al., Biomechanical responses of the cornea after small incision lenticule extraction (SMILE) refractive surgery based on a finite element model of the human eye, Math. Biosci. Eng., 18 (2021), 4212–4225. https://doi.org/10.3934/mbe.2021211 doi: 10.3934/mbe.2021211
|
| [7] | D. T. Azar, Refractive Surgery, Elsevier, USA, 2006. https://doi.org/10.1016/B978-0-323-03599-6.50059-6 |
| [8] | World Health Organization, WHOQOL: Measuring quality of life, World Health Organization, Division of Mental Health and Prevention of Substance Abuse, Geneva, Switzerland, 1997. apps.who.int/iris/handle/10665/63482 |
| [9] | A. Ahluwalia, L. L. Shen, L. V. Del Priore, Central geographic atrophy vs. neovascular age–related macular degeneration: Differences in longitudinal vision-related quality of life, Graefe's Arc. Clin. Exper. Ophthalmol., 259 (2021),, 259,307–316. https://doi.org/10.1007/s00417-020-04892-5 |
| [10] | N. Li, X. J. Peng, Z. J. Fan, Progress of corneal collagen cross-linking combined with refractive surgery, Int. J. Ophthalmol., 7 (2014), 157. |
| [11] |
P. J.Banerjee, V. R. Cornelius, Adjunctive intraocular and peri-ocular steroid (triamcinolone acetonide) versus standard treatment in eyes undergoing vitreoretinal surgery for open globe trauma (ASCOT): Study protocol for a phase Ⅲ, multi-centre, double-masked randomised controlled trial, Trials, 17 (2016), 339. https://doi.org/10.1186/s13063-016-1445-7 doi: 10.1186/s13063-016-1445-7
|
| [12] |
S. Feeny, A. Posso, L. McDonald, T. T. K. Chuyen, S. T. Tung, Beyond monetary benefits of restoring sight in Vietnam: Evaluating well-being gains from cataract surgery. PLoS One, 13 (2018), e0192774. https://doi.org/10.1371/journal.pone.0192774 doi: 10.1371/journal.pone.0192774
|
| [13] |
C. E. Schwartz, M. A. Sprangers, Methodological approaches for assessing response shift in longitudinal health-related quality-of-life research, Soc. Sci. Med., 48 (1999), e0192774. https://doi.org/10.1016/S0277-9536(99)00047-7 doi: 10.1016/S0277-9536(99)00047-7
|
| [14] |
M. Salmon, M. Blanchin, C. Rotonda, F. Guillemin, V. Sébille, Identifying patterns of adaptation in breast cancer patients with cancer‐related fatigue using response shift analyses at subgroup level. Cancer Med., 6 (2017), 2562–2575. https://doi.org/10.1002/cam4.1219 doi: 10.1002/cam4.1219
|
| [15] |
M. Friedrich, M. Zenger, A. Hinz, Response shift effects of quality of life assessments in breast cancer survivors, European J. Cancer Care, 28 (2019), e12979. https://doi.org/10.1111/ecc.12979 doi: 10.1111/ecc.12979
|
| [16] |
M. G.Verdam, F. J. Oort, M. A. Sprangers, Structural equation modeling–based effect-size indices were used to evaluate and interpret the impact of response shift effects, J. Clin. Epidemiol., 85 (2017), 37–44. https://doi.org/10.1016/j.jclinepi.2017.02.012 doi: 10.1016/j.jclinepi.2017.02.012
|
| [17] |
M. Preiß, M. Friedrich, J. U. Stolzenburg, M. Zenger, A. Hinz, Response shift effects in the assessment of urologic cancer patients' quality of life, European J. Cancer Care, 28 (2019), e13027. https://doi.org/10.1111/ecc.13027 doi: 10.1111/ecc.13027
|
| [18] |
T. Murata, Y. Suzukamo, T. Shiroiwa, N. Taira, K. Shimozuma, Y. Ohashi, et al., Response shift–adjusted treatment effect on health-related quality of life in a randomized controlled trial of taxane versus S-1 for metastatic breast cancer: Structural equation modeling, Value Health, 23 (2020), 768–774. https://doi.org/10.1016/j.jval.2020.02.003 doi: 10.1016/j.jval.2020.02.003
|
| [19] |
I. Wilson, Clinical understanding and clinical implications of response shift, Soc. Sci. Med., 48 (1999), 1577–1558. https://doi.org/10.1016/S0277-9536(99)00050-7 doi: 10.1016/S0277-9536(99)00050-7
|
| [20] |
S. Jansen, A. Sttgelbout, M. Nooij, E. Noordijk, J. Kievit, Response shift in quality of life measurement in early-stage breast cancer patients undergoing radiotherapy, Quality Life Res., 9 (2000), 603–615. https://doi.org/10.1023/A:1008928617014 doi: 10.1023/A:1008928617014
|
| [21] |
R. Golembiewski, K. Billingsley, S. Yeager, Measuring change and persistence in human affairs: Types of change generated by OD designs, J. Appl. Behav. Sci., 12 (1976), 133–157. https://doi.org/10.1177/002188637601200201 doi: 10.1177/002188637601200201
|
| [22] |
G. S. Howard, P. R. Dailey, Response-shift bias: A source of contamination of self-report measures, J. Appl. Psychol., 64 (1979), 144–150. https://doi.org/10.1037/0021-9010.64.2.144 doi: 10.1037/0021-9010.64.2.144
|
| [23] |
P. Norman, S. Parker, The interpretation of change in verbal reports: Implications for health psychology, Psychol. Health, 11 (1996), 301–314. https://doi.org/10.1080/08870449608400259 doi: 10.1080/08870449608400259
|
| [24] |
I. Wilson, P. Cleary, Linking clinical variables with related quality of life: A conceptual model of patients outcomes, J. Am. Med. Assoc., 273 (1995), 50–65. https://doi.org/10.1001/jama.273.1.59 doi: 10.1001/jama.273.1.59
|
| [25] | C. C. Rodríguez-Martínez, Contribuciones a los Métodos STATIS Basados en Técnicas de Aprendizaje no Supervisado, Universidad de Salamanca. Ph.D. Thesis, Universidad de Salamanca, Salamanca, Spain, 2020. |
| [26] |
N. B. Erichson, P. Zheng, K. Manohar, S. L. Brunton, J. N. Kutz, A. Y. Aravkin, Sparse principal component analysis via variable projection, J. Am. Med. Assoc., 80 (2020), 977–1002. https://doi.org/10.1137/18M1211350 doi: 10.1137/18M1211350
|
| [27] |
M. Cubilla-Montilla, A. B. Nieto-Librero, P. Galindo-Villardón, C. A. Torres-Cubilla, Sparse HJ biplot: A new methodology via elastic net, Mathematics, 9 (2021), 1298. https://doi.org/10.3390/math9111298 doi: 10.3390/math9111298
|
| [28] | C. C.Rodríguez-Martínez, M. Cubilla-Montilla, SparseSTATISdual: R package for penalized STATIS-dual analysis, github.com/CCRM07/SparseSTATISdual (accessed on 15 June 2021) |
| [29] | S. Ambapour, Statis: Une méthode d'analyse conjointe de plusieurs tableaux de données, Document de travail (DT 01/2001).Bureau d'Application des Methodes Statistiques et Informatiques, pp. 1–20. www.yumpu.com/fr/document/read/37543574 (accessed on 15 June 2021). |
| [30] |
J. C.Laria, M. C. Aguilera-Morillo, E. Álvarez, R. E. Lillo, S. López-Taruella, M. del Monte-Millán, et al., Iterative variable selection for high-dimensional data: Prediction of pathological response in triple-negative breast cancer, Mathematics, 9 (2021), 222. https://doi.org/10.3390/math9030222 doi: 10.3390/math9030222
|
| [31] |
E. Ortega-Gómez, P. Vicente-Galindo, H. Martín-Rodero, P. Galindo-Villardon, Detection of response shift in health-related quality of life studies: A systematic review, Health Qual. Life Outcomes, 20 (2022), 20. https://doi.org/10.1186/s12955-022-01926-w doi: 10.1186/s12955-022-01926-w
|
| [32] |
T. T.Sajobi, R. Brahmbatt, L. M. Lix, B. D. Zumbo, R. Sawatzky, Scoping review of response shift methods: Current reporting practices and recommendations, Qual. Life Res., 27 (2018), 1133–1146. https://doi.org/10.1007/s11136-017-1751-x doi: 10.1007/s11136-017-1751-x
|
| [33] | H. L'Hermier des Plantes, Structuration des tableaux à trois indices de la statistique, théorie et application d'une méthode d'analyse conjointe, Master's thesis, Université Des Sciences et Techniques Du Languedoc, Montpellier, France, 1976. |
| [34] | C. Lavit, M. C. Bernard, C. P. Hugalde, M. O. Pernin, Analyse conjointe de tableaux quantitifs, Masson, Paris, France, 1988. |
| [35] |
C. Lavit, Y. Escoufier, R. Sabatier, P. Traissac, The act (STATIS method), Comput. Stat. Data Anal., 18 (1994), 97–119. https://doi.org/10.1016/0167-9473(94)90134-1 doi: 10.1016/0167-9473(94)90134-1
|
| [36] | Y. Escoufier, Opérateur associé à un tableau de données, Annales de Institut National de la Statistique et Des études Économiques, pp. 165–179. https://doi.org/10.2307/20075217 |
| [37] |
C. Martin-Barreiro, J. A. Ramirez-Figueroa, X. Cabezas, V. Leiva, M. P. Galindo-Villardón, Disjoint and functional principal component analysis for infected cases and deaths due to COVID-19 in South American countries with sensor-related data. Sensors, 21 (2021), 4094. https://doi.org/10.3390/s21124094 doi: 10.3390/s21124094
|
| [38] |
P. Sharma, A. K. Singh, V. Leiva, C. Martin-Barreiro, X. Cabezas, Modern multivariate statistical methods for evaluating the impact of WhatsApp on academic performance: Methodology and case study in India. Appl. Sci., 12 (2020), 6141. https://doi.org/10.3390/app12126141 doi: 10.3390/app12126141
|
| [39] |
C. Martin-Barreiro, J. A. Ramirez-Figueroa, A. B. Nieto-Librero, V. Leiva, A. Martin-Casado, M. P. Galindo-Villardón, A new algorithm for computing disjoint orthogonal components in the three-way Tucker model, Mathematics, 9 (2021), 203. https://doi.org/10.3390/math9030203 doi: 10.3390/math9030203
|
| [40] |
C. Martin-Barreiro, J. A. Ramirez-Figueroa, X. Cabezas, V. Leiva, A. Martin-Casado, M.P. Galindo-Villardón, A new algorithm for computing disjoint orthogonal components in the parallel factor analysis model with simulations and applications to real-world data, Mathematics, 9 (2021), 2058. https://doi.org/10.3390/math9172058 doi: 10.3390/math9172058
|
| [41] | H. Abdi, D. Valentin, D. In, D. Z. Valentin, L. Nguyen, New trends in sensory evaluation of food and non-food products, Vietnam National University, Ho Chi Minh City Publishing House, 2007, pp. 5–18. |
| [42] |
K. Tarczy-Hornoch, M. Ying-Lai, R. Varma, Los Angeles Latino Eye Study Group, Myopic refractive error in adult Latinos: The Los Angeles Latino eye study. Invest. Ophthalmol. Visual Sci., 47 (2006), 1845–1852. https://doi.org/10.1167/iovs.05-1153 doi: 10.1167/iovs.05-1153
|
| [43] |
S. Kay, A. Ferreira, Mapping the 25-item national eye institute visual functioning questionnaire (NEI VFQ-25) to EQ-5D utility scores, Ophth. Epidemiol., 21 (2014), 66–78. https://doi.org/10.1007/s12325-016-0333-6 doi: 10.1007/s12325-016-0333-6
|
| [44] |
J. R.Grubbs, S. Tolleson-Rinehart, K. Huynh, R. M. Davis, A review of quality of life measures in dry eye questionnaires, Cornea, 33 (2014), 215–218. https://doi.org/10.1007/s12325-016-0333-6 doi: 10.1007/s12325-016-0333-6
|
| [45] |
L. Quaranta, I. Riva, C. Gerardi, F. Oddone, I. Floriano, A. G. Konstas, Quality of life in glaucoma: A review of the literature, Adv. Therapy, 33 (2016), 959–981. https://doi.org/10.1007/s12325-016-0333-6 doi: 10.1007/s12325-016-0333-6
|
| [46] |
F. Kuhn, R. Morris, C. D. Witherspoon, K. Heimann, J. B. Jeffers, G. Treister, A standardized classification of ocular trauma, Ophthalmology, 103 (1996), 240–243. https://doi.org/10.1016/S0161-6420(96)30710-0 doi: 10.1016/S0161-6420(96)30710-0
|
| [47] | R Core Team, R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria, 2021. |
| [48] |
C. C. Rodríguez-Martínez, M. Cubilla-Montilla, P. Vicente-Galindo, P. Galindo-Villardón, Sparse STATIS-dual via elastic net, Mathematics, 9 (2021), 2094. https://doi.org/10.1016/j.msard.2016.11.008 doi: 10.1016/j.msard.2016.11.008
|
| [49] |
F. Schmidt, H. Zimmermann, J. Mikolajczak, F. C. Oertela, F. Pache, M. Weinhold, et al., Severe structural and functional visual system damage leads to profound loss of vision-related quality of life in patients with neuromyelitis optica spectrum disorders, Multi. Scler. Related Disord., 11 (2017), 45–50. https://doi.org/10.1016/j.msard.2016.11.008 doi: 10.1016/j.msard.2016.11.008
|
| [50] |
L. Bradnam, C. Chen, L. Graetz, T. Loetscher, Reduced vision-related quality of life in people living with dystonia, Disab. Rehabil., 42 (2020), 1556–1560. https://doi.org/10.1080/09638288.2018.1528636 doi: 10.1080/09638288.2018.1528636
|
| [51] |
D. Yuan, W. Zhang, S. Yuan, P. Xie, Q. Liu, Evaluation of vision-related quality of life after autologous internal limiting–membrane transplantation for refractory macular holes, Clin. Ophthalmol., 14 (2020), 2079–2085. https://doi.org/10.2147/OPTH.S259642 doi: 10.2147/OPTH.S259642
|
| [52] |
M. Li, L. Gong, W.J. Chapin, M. Zhu, Assessment of vision-related quality of life in dry eye patients, Invest. Ophthalmol. Visual Sci., 53 (2012), 5722–5727. https://doi.org/10.1167/iovs.11-9094 doi: 10.1167/iovs.11-9094
|
| [53] |
G. Ilie, J. Bradfield, L. Moodie, T. Lawen, A. Ilie, Z. Lawen, et al., The role of response-shift in studies assessing quality of life outcomes among cancer patients: A systematic review. Front. Oncol., 9 (2019), 783. https://doi.org/10.3389/fonc.2019.00783 doi: 10.3389/fonc.2019.00783
|
| [54] |
A. Ousmen, T. Conroy, F. Guillemin, M. Velten, D. Jolly, M. Mercier, et al., Impact of the occurrence of a response shift on the determination of the minimal important difference in a health-related quality of life score over time, Health Qual. Life Outcomes, 14 (2016), 167. https://doi.org/10.1186/s12955-016-0569-5 doi: 10.1186/s12955-016-0569-5
|
| [55] |
J. A.Haagsma, I. Spronk, M. A. de Jongh, G. J. Bonsel, S. Polinder, Conventional and retrospective change in health-related quality of life of trauma patients: An explorative observational follow-up study, Health Qual. Life Outcomes, 18 (2020), 157. https://doi.org/10.1186/s12955-020-01404-1 doi: 10.1186/s12955-020-01404-1
|
| [56] |
B. Hosseini, S. Nedjat, K. Zendehdel, R. Majdzadeh, A. Nourmohammadi, A. Montazeri, Response shift in quality of life assessment among cancer patients: A study from Iran, Med. J. Islamic Republic Iran, 31 (2017), 120. https://doi.org/10.2106/JBJS.I.00990 doi: 10.2106/JBJS.I.00990
|
| [57] |
H. Razmjou, C. E. Schwartz, R. Holtby, The impact of response shift on perceived disability two years following rotator cuff surgery, J. Bone Joint Surgery, 92 (2010), 2178–2186. https://doi.org/10.2106/JBJS.I.00990 doi: 10.2106/JBJS.I.00990
|
| [58] |
X. H. Zhang, S. C. Li, F. Xie, N. N. Lo, K. Y. Yang, S. J. Yeo, et al., An exploratory study of response shift in health-related quality of life and utility assessment among patients with osteoarthritis undergoing total knee replacement surgery in a tertiary hospital in Singapore, Value Health, 15 (2012), S72–S78. https://doi.org/10.1016/j.jval.2011.11.011 doi: 10.1016/j.jval.2011.11.011
|
| [59] |
M. Rutgers, L. B. Creemers, K. G. A. Yang, N. J. Raijmakers, W. J. Dhert, D. B. Saris, Osteoarthritis treatment using autologous conditioned serum after placebo: Patient considerations and clinical response in a non-randomized case series, Acta Orthopaed., 86 (2015), 114–118. https://doi.org/10.3109/17453674.2014.950467 doi: 10.3109/17453674.2014.950467
|
| [60] |
C. Machuca, M. V. Vettore, P. G. Robinson, How peoples' ratings of dental implant treatment change over time? Qual. Life Res., 29 (2020), 1323–1334. https://doi.org/10.1007/s11136-019-02408-1 doi: 10.1007/s11136-019-02408-1
|
| [61] |
H. Y. Shi, K. T. Lee, H. H. Lee, Y. H. Uen, C. C. Chiu, Response shift effect on gastrointestinal quality of life index after laparoscopic cholecystectomy, Qual. Life Res., 20 (2011), 335–341. https://doi.org/10.1007/s11136-010-9760-z doi: 10.1007/s11136-010-9760-z
|
| [62] |
Y. Edelaar-Peeters, A. M. Stiggelbout, Anticipated adaptation or scale recalibration?, Health Qual. Life Outcomes, 11 (2013), 171. https://doi.org/10.1186/1477-7525-11-171 doi: 10.1186/1477-7525-11-171
|
| [63] |
M. Ramos-Barberán, M. V. Hinojosa-Ramos, J. Ascencio-Moreno, F. Vera, O. Ruiz-Barzola, M. P. Galindo-Villardón, Batch process control and monitoring: A dual STATIS and parallel coordinates (DS-PC) approach, Product. Manuf. Res., 6 (2018), 470–493. https://doi.org/10.1080/21693277.2018.1547228 doi: 10.1080/21693277.2018.1547228
|
| [64] | J. L. da Silva, L. P. Ramos, Uniform approximations for distributions of continuous random variables with application in dual STATIS method, REVSTAT Stat. J., 12 (2014), 101–118. |
| [65] |
R. Boumaza, S. Yousfi, S. Demotes-Mainard, Interpreting the principal component analysis of multivariate density functions. Commun. Stat. Theory Methods, 44 (2015), 3321–3339. https://doi.org/10.1080/03610926.2013.824103 doi: 10.1080/03610926.2013.824103
|
| [66] |
S. Klie, C. Caldana, Z. Nikoloski, Compromise of multiple time-resolved transcriptomics experiments identifies tightly regulated functions, Front. Plant Sci., 3 (2012), 249. https://doi.org/10.3389/fpls.2012.00249 doi: 10.3389/fpls.2012.00249
|
| [67] |
K. Haraldstad, A. Wahl, R. Andenæs, J. R. Andersen, M. H. Andersen, E. Beisland, et al., A systematic review of quality of life research in medicine and health sciences, Qual. Life Res., 28 (2019), 2641–2650. https://doi.org/10.1007/s11136-019-02214-9 doi: 10.1007/s11136-019-02214-9
|
| [68] | H. L'Hermier des Plantes, Structuration des tableaux à trois indices de la statistique. Université de Montpellier Ⅱ, Montpellier, France, 1976. |
| [69] | P. A.Jaffrenou, Sur L'Analyse des familles finies des variables vectorielles: Bases algébrique et application à la description statistique, University of Sainte-Etiene, Sainte-Etiene, France, 1978. |
| [70] | Y. Escoufier, L'analyse conjointe de plusieurs matrices de données, In Jolivet, M. (ed.), Biométrie et Temps. Société Française de Biométrie, Paris, France, pp. 59–76. |
| [71] |
J. Martín-Rodríguez, M. P. Galindo-Villardón, J. L. Vicente-Villardón, Comparison and integration of subspaces from a biplot perspective, J. Stat. Plan Infer., 102 (2002), 411–423. https://doi.org/10.1016/S0378-3758(01)00101-X doi: 10.1016/S0378-3758(01)00101-X
|
| [72] |
A. Vallejo-Arboleda, J. L. Vicente-Villardón, M. P. Galindo-Villardón, Canonical STATIS: Biplot analysis of multi-table group structured data based on STATIS-ACT methodology, Comput. Stat. Data Anal., 51 (2007), 4193–4205. https://doi.org/10.1016/j.csda.2006.04.032 doi: 10.1016/j.csda.2006.04.032
|
| [73] |
J. Bénasséni, M. Bennani-Dosse, Analyzing multiset data by the power STATIS-ACT method, Adv. Data Anal. Classif., 6 (2012), 49–65. https://doi.org/10.1007/s11634-011-0085-8 doi: 10.1007/s11634-011-0085-8
|
| [74] |
H. Abdi, L. J. Williams, D. Valentin, M. Bennani-Dosse, STATIS and DISTATIS: Optimum multitable principal component analysis and three way metric multidimensional scaling, Comput. Stat., 4 (2012), 124–167. https://doi.org/10.1002/wics.198 doi: 10.1002/wics.198
|
| [75] |
F. Llobell, V. Cariou, E. Vigneau, A. Labenne, E. M. Qannari, A new approach for the analysis of data and the clustering of subjects in a CATA experiment, Food Qual. Prefer., 72 (2019), 31–39. https://doi.org/10.1016/j.foodqual.2018.09.006 doi: 10.1016/j.foodqual.2018.09.006
|
| [76] |
F. Llobell, V. Cariou, E. Vigneau, A. Labenne, E. M.Qannari, Analysis and clustering of multiblock datasets by means of the STATIS and CLUSTATIS methods. Application to sensometrics, Food Qual. Prefer., 79 (2020), 103520. https://doi.org/10.1016/j.foodqual.2018.05.013 doi: 10.1016/j.foodqual.2018.05.013
|
| [77] |
B. R. Lapin, Considerations for reporting and reviewing studies including health-related quality of life, Chest, 158 (2020), S49–S56. https://doi.org/10.1016/j.chest.2020.03.007 doi: 10.1016/j.chest.2020.03.007
|
| [78] |
S. Wang, X. Liang, J. Wang, Parameter assignment for InVEST habitat quality module based on principal component analysis and grey coefficient analysis, Math. Biosci. Eng., 19 (2022), 13928–13948. https://doi.org/10.3934/mbe.2022649 doi: 10.3934/mbe.2022649
|
| [79] |
M. R. M. Visser, E. M. A. Smets, M. A. G. Sprangers, H. J. C. J. M. De Haes, How response shift may affect the measurement of change in fatigue, J. Pain Sympt. Manag., 20 (2000), 12–18. https://doi.org/10.1016/S0885-3924(00)00148-2 doi: 10.1016/S0885-3924(00)00148-2
|
| [80] |
L. G.Hill, D. L. Betz, Revisiting the retrospective pretest, Am. J. Evalu., 26 (2005), 501–517. https://doi.org/10.1177/1098214005281356 doi: 10.1177/1098214005281356
|
| [81] |
J. A. Ramirez-Figueroa, C. Martin-Barreiro, A. B. Nieto-Librero, V. Leiva, M. P. Galindo-Villardón, A new principal component analysis by particle swarm optimization with an environmental application for data science, Stoch. Environ. Res. Risk Assess., 35 (2021), 1969–1984. https://doi.org/10.1007/s00477-020-01961-3 doi: 10.1007/s00477-020-01961-3
|
Figures(6) / Tables(4)
Francisco J. Perdomo-Argüello, Estelina Ortega-Gómez, Purificación Galindo-Villardón, Víctor Leiva, Purificación Vicente-Galindo. STATIS multivariate three-way method for evaluating quality of life after corneal surgery: Methodology and case study in Costa Rica[J]. Mathematical Biosciences and Engineering, 2023, 20(4): 6110-6133. doi: 10.3934/mbe.2023264
DownLoad: