IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i14p1616-d590954.html
   My bibliography  Save this article

Multiple Ordinal Correlation Based on Kendall’s Tau Measure: A Proposal

Author

Listed:
  • Juan M. Muñoz-Pichardo

    (Department of Estadística e I.O., Universidad de Sevilla, 410112 Seville, Spain)

  • Emilio D. Lozano-Aguilera

    (Department of Statistics and O.R., University of Jaén, 23071 Jaén, Spain)

  • Antonio Pascual-Acosta

    (Department of Estadística e I.O., Universidad de Sevilla, 410112 Seville, Spain)

  • Ana M. Muñoz-Reyes

    (Department of Estadística e I.O., Universidad de Sevilla, 410112 Seville, Spain)

Abstract

The joint analysis of various ordinal variables is necessary in many experimental studies within research fields such as sociology and psychology. Therefore, the necessary measures of multiple ordinal dependence must be easy to interpret and facilitate the interpretation of multivariate models that fit ordinal data. The main objective of this article is to propose a multiple ordinal correlation measure based on a bivariate correlation measure: Kendall’s tau. A sample version of the measure is proposed for its estimation. Furthermore, a confidence interval and a multiple ordinal independence test are proposed. The measure is applied to various simulations, covering a wide range of multiple ordinal dependency scenarios, in order to illustrate the adequacy of the measure and the proposed inferential techniques. Finally, the measure is applied to a real-world study based on a social survey of the levels of life satisfaction and the happiness index of a population.

Suggested Citation

  • Juan M. Muñoz-Pichardo & Emilio D. Lozano-Aguilera & Antonio Pascual-Acosta & Ana M. Muñoz-Reyes, 2021. "Multiple Ordinal Correlation Based on Kendall’s Tau Measure: A Proposal," Mathematics, MDPI, vol. 9(14), pages 1-16, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1616-:d:590954
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/14/1616/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/14/1616/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. J. M. Muñoz-Pichardo & R. Pino-Mejías & J. García-Heras & F. Ruiz-Muñoz & M. Luz González-Regalado, 2021. "A multivariate Poisson regression model for count data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(13-15), pages 2525-2541, November.
    2. Henry Chow, 2005. "Life Satisfaction Among University Students in a Canadian Prairie City: a Multivariate Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 70(2), pages 139-150, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Matilde Bini & Lucio Masserini, 2016. "Students’ Satisfaction and Teaching Efficiency of University Offer," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 129(2), pages 847-862, November.
    2. Panagiotis Parpottas & Paris Vogazianos & Christos Pezirkianidis, 2023. "Attachment, Resilience and Life Satisfaction of University Students in Cyprus after the Fourth Wave of COVID-19," IJERPH, MDPI, vol. 21(1), pages 1-16, December.
    3. Claudio Barbaranelli & Marinella Paciello & Valentina Biagioli & Roberta Fida & Carlo Tramontano, 2019. "Positivity and Behaviour: The Mediating Role of Self-Efficacy in Organisational and Educational Settings," Journal of Happiness Studies, Springer, vol. 20(3), pages 707-727, March.
    4. Carol Nickerson & Ed Diener & Norbert Schwarz, 2011. "Positive Affect and College Success," Journal of Happiness Studies, Springer, vol. 12(4), pages 717-746, August.
    5. Oznur Tulunay Ates, 2019. "Intermediary Role of Ways of Coping with Stress in the Relationship between Satisfaction with Life and Motivation," Journal of Education and e-Learning Research, Asian Online Journal Publishing Group, vol. 6(1), pages 1-9.
    6. Meimei Wang & Yongchun Yang & Bo Zhang & Mengqin Liu & Qing Liu, 2019. "How Does Targeted Poverty Alleviation Policy Influence Residents’ Perceptions of Rural Living Conditions? A Study of 16 Villages in Gansu Province, Northwest China," Sustainability, MDPI, vol. 11(24), pages 1-15, December.
    7. Grace (Byung-Hee) Yu & Dong-Jin Lee, 2008. "A Model of Quality of College Life (QCL) of Students in Korea," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 87(2), pages 269-285, June.
    8. Luc Ootegem & Elsy Verhofstadt, 2012. "Using Capabilities as an Alternative Indicator for Well-being," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 106(1), pages 133-152, March.
    9. Şahin Kapıkıran, 2013. "Loneliness and Life Satisfaction in Turkish Early Adolescents: The Mediating Role of Self Esteem and Social Support," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 111(2), pages 617-632, April.
    10. M. Sirgy & Stephan Grzeskowiak & Don Rahtz, 2007. "Quality of College Life (QCL) of Students: Developing and Validating a Measure of Well-Being," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 80(2), pages 343-360, January.
    11. Sevda Arslan & Ozlem Akkas, 2014. "Quality of College Life (QCL) of Students in Turkey: Students’ Life Satisfaction and Identification," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 115(2), pages 869-884, January.
    12. Jing Xiao & Chuanyi Tang & Soyeon Shim, 2009. "Acting for Happiness: Financial Behavior and Life Satisfaction of College Students," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 92(1), pages 53-68, May.
    13. Teris Cheung & Siu Yi Wong & Kit Yi Wong & Lap Yan Law & Karen Ng & Man Tik Tong & Ka Yu Wong & Man Ying Ng & Paul S.F. Yip, 2016. "Depression, Anxiety and Symptoms of Stress among Baccalaureate Nursing Students in Hong Kong: A Cross-Sectional Study," IJERPH, MDPI, vol. 13(8), pages 1-25, August.
    14. Lavrič, Miran & Naterer, Andrej, 2020. "The power of authoritative parenting: A cross-national study of effects of exposure to different parenting styles on life satisfaction," Children and Youth Services Review, Elsevier, vol. 116(C).
    15. Berta Schnettler & Marianela Denegri & Horacio Miranda & José Sepúlveda & Ligia Orellana & Galo Paiva & Klaus Grunert, 2015. "Family Support and Subjective Well-Being: An Exploratory Study of University Students in Southern Chile," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 122(3), pages 833-864, July.
    16. Željko Pedišić & Zrinka Greblo & Philayrath Phongsavan & Karen Milton & Adrian E Bauman, 2015. "Are Total, Intensity- and Domain-Specific Physical Activity Levels Associated with Life Satisfaction among University Students?," PLOS ONE, Public Library of Science, vol. 10(2), pages 1-21, February.
    17. Janet Junqing Chu & Mobarak Hossain Khan & Heiko J Jahn & Alexander Kraemer, 2015. "Only-Child Status in Relation to Perceived Stress and Studying-Related Life Satisfaction among University Students in China: A Comparison with International Students," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-18, December.
    18. Yasemin Yildirim & Serap Parlar Kilic & Asiye Durmaz Akyol, 2013. "Relationship between life satisfaction and quality of life in Turkish nursing school students," Nursing & Health Sciences, John Wiley & Sons, vol. 15(4), pages 415-422, December.
    19. Ebru Caglayan Akay & Devrim Dumludag & Hoseng Bulbul & Ozkan Zulfuoglu, 2023. "Students in Turkey During the Early Days of the COVID-19 Pandemic," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 18(1), pages 249-277, February.
    20. P Manoj Kiran & A Thiruchelvi, 2020. "A Study on Role of Big 5 Personality Traits on Social Ostracism," Shanlax International Journal of Management, Shanlax Journals, vol. 8(2), pages 103-107, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1616-:d:590954. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.