IDEAS home Printed from https://ideas.repec.org/a/wsi/ijitdm/v16y2017i02ns0219622014500552.html
   My bibliography  Save this article

Coefficients of Structural Association

Author

Listed:
  • Stan Lipovetsky

    (GfK Custom Research North America, 8401 Golden Valley Road, Minneapolis, MN 55427, USA)

  • Igor Mandel

    (Telmar Group Inc., 470 Park Ave South, New York, NY 10018, USA)

Abstract

We consider estimation of one variable’s dependence against another one in a new measure called a coefficient of structural association (CSA). It is based on the distribution of one variable along the segments of another one, and yields a gauge similar to the correlation ratio in the nonlinear regression modeling. This index can be constructed as a quotient of the observed and maximum possible variances. The CSA relations to other measures of dependence are described too, particularly, for binary variables CSA reduces to the Loevinger’s coefficient of association. Numerical simulations show that CSA presents a powerful tool for data analysis where traditional measures fail. This method can enrich both theoretical and practical estimations for identifying hidden patterns in the data and help managers and researchers in taking appropriate decisions.

Suggested Citation

  • Stan Lipovetsky & Igor Mandel, 2017. "Coefficients of Structural Association," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 285-313, March.
    • Handle: RePEc:wsi:ijitdm:v:16:y:2017:i:02:n:s0219622014500552
    DOI: 10.1142/S0219622014500552
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219622014500552
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219622014500552?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Carlos Gomes Da Silva & João Clímaco, 2013. "Using Weighted-Sum Functions To Compute Nonsupported Efficient Solutions In Multiobjective Combinatorial-{0,1} Problems," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 27-44.
    2. Mirkin B., 2001. "Eleven Ways to Look at the Chi-Squared Coefficient for Contingency Tables," The American Statistician, American Statistical Association, vol. 55, pages 111-120, May.
    3. Xiangji Huang, 2007. "Comparison Of Interestingness Measures For Web Usage Mining: An Empirical Study," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 15-41.
    4. Matthijs Warrens, 2008. "On Association Coefficients for 2×2 Tables and Properties That Do Not Depend on the Marginal Distributions," Psychometrika, Springer;The Psychometric Society, vol. 73(4), pages 777-789, December.
    5. Gang Kou & Yanqun Lu & Yi Peng & Yong Shi, 2012. "Evaluation Of Classification Algorithms Using Mcdm And Rank Correlation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 197-225.
    6. Lipovetsky, Stan & Conklin, W. Michael, 2006. "Data aggregation and Simpson's paradox gauged by index numbers," European Journal of Operational Research, Elsevier, vol. 172(1), pages 334-351, July.
    7. Marcus Davidsson, 2011. "Portfolio Theory and Cone Optimization," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 1(2), pages 1-9.
    8. Minghe Sun, 2011. "A Mixed Integer Programming Model For Multiple-Class Discriminant Analysis," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 589-612.
    9. Stan Lipovetsky, 2008. "Surf — Structural Unduplicated Reach And Frequency: Latent Class Turf And Shapley Value Analyses," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 7(02), pages 203-216.
    10. Yi Peng & Gang Kou & Guoxun Wang & Honggang Wang & Franz I. S. Ko, 2009. "Empirical Evaluation Of Classifiers For Software Risk Management," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 749-767.
    11. Conklin, Michael & Powaga, Ken & Lipovetsky, Stan, 2004. "Customer satisfaction analysis: Identification of key drivers," European Journal of Operational Research, Elsevier, vol. 154(3), pages 819-827, May.
    12. S. Lipovetsky, 2009. "Global Priority Estimation in Multiperson Decision Making," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 77-91, January.
    13. W. Michael Conklin & Stan Lipovetsky, 2005. "Marketing Decision Analysis By Turf And Shapley Value," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 5-19.
    14. Jianping Li & Xiaolei Sun & Wan He & Ling Tang & Weixuan Xu, 2009. "Modeling Dynamic Correlations And Spillover Effects Of Country Risk: Evidence From Russia And Kazakhstan," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 803-818.
    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. Lipovetsky, Stan & Conklin, Michael, 2014. "Finding items cannibalization and synergy by BWS data," Journal of choice modelling, Elsevier, vol. 12(C), pages 1-9.
    2. Miklós Pintér, 2011. "Regression games," Annals of Operations Research, Springer, vol. 186(1), pages 263-274, June.
    3. Daji Ergu & Gang Kou & János Fülöp & Yong Shi, 2014. "Further Discussions on Induced Bias Matrix Model for the Pair-Wise Comparison Matrix," Journal of Optimization Theory and Applications, Springer, vol. 161(3), pages 980-993, June.
    4. Fábio T. F. Silva & Alexandre Szklo & Amanda Vinhoza & Ana Célia Nogueira & André F. P. Lucena & Antônio Marcos Mendonça & Camilla Marcolino & Felipe Nunes & Francielle M. Carvalho & Isabela Tagomori , 2022. "Inter-sectoral prioritization of climate technologies: insights from a Technology Needs Assessment for mitigation in Brazil," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 27(7), pages 1-39, October.
    5. Asongu, Simplice A. & Odhiambo, Nicholas M., 2021. "Inequality, finance and renewable energy consumption in Sub-Saharan Africa," Renewable Energy, Elsevier, vol. 165(P1), pages 678-688.
    6. Abiodun Ogunyemi & Kevin Johnston, 2017. "Is Server Virtualization Implementation in Business and Public Organizations a Worthwhile Investment?," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 711-736, May.
    7. Wenyi Zeng & Deqing Li & Peizhuang Wang, 2016. "Variable Weight Decision Making and Balance Function Analysis Based on Factor Space," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 999-1014, September.
    8. Mario Silic & Andrea Back, 2016. "The Influence of Risk Factors in Decision-Making Process for Open Source Software Adoption," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 151-185, January.
    9. Kun Chen & Gang Kou & J. Michael Tarn & Yan Song, 2015. "Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices," Annals of Operations Research, Springer, vol. 235(1), pages 155-175, December.
    10. Kuang-Hua Hu & Wei Jianguo & Gwo-Hshiung Tzeng, 2017. "Risk Factor Assessment Improvement for China’s Cloud Computing Auditing Using a New Hybrid MADM Model," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 737-777, May.
    11. Simplice A. Asongu & Nicholas M.Odhiambo, "undated". "Governance and Renewable Energy Consumption in sub-Saharan Africa," Working Papers AESRIWP11, African Economic and Social Research Institute (AESRI).
    12. Ying Li & Yung-Ho Chiu & Tai-Yu Lin & Tzu-Han Chang, 2020. "Pre-Evaluating the Technical Efficiency Gains from Potential Mergers and Acquisitions in the IC Design Industry," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 525-559, April.
    13. Asongu, Simplice A. & Nnanna, Joseph & Acha-Anyi, Paul N., 2020. "Finance, inequality and inclusive education in Sub-Saharan Africa," Economic Analysis and Policy, Elsevier, vol. 67(C), pages 162-177.
    14. Sun, Xiaolei & Li, Jianping & Tang, Ling & Wu, Dengsheng, 2012. "Identifying the risk-return tradeoff and exploring the dynamic risk exposure of country portfolio of the FSU's oil economies," Economic Modelling, Elsevier, vol. 29(6), pages 2494-2503.
    15. Alfonso Iodice D’Enza & Francesco Palumbo, 2013. "Iterative factor clustering of binary data," Computational Statistics, Springer, vol. 28(2), pages 789-807, April.
    16. Mahmood Safaei & Elankovan A. Sundararajan & Shahla Asadi & Mehrbakhsh Nilashi & Mohd Juzaiddin Ab Aziz & M. S. Saravanan & Maha Abdelhaq & Raed Alsaqour, 2022. "A Hybrid MCDM Approach Based on Fuzzy-Logic and DEMATEL to Evaluate Adult Obesity," IJERPH, MDPI, vol. 19(23), pages 1-21, November.
    17. Ernesto Tarantino & Ivanoe De Falco & Umberto Scafuri, 2019. "A mobile personalized tourist guide and its user evaluation," Information Technology & Tourism, Springer, vol. 21(3), pages 413-455, September.
    18. Eleonora Bottani & Piera Centobelli & Teresa Murino & Ehsan Shekarian, 2018. "A QFD-ANP Method for Supplier Selection with Benefits, Opportunities, Costs and Risks Considerations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 911-939, May.
    19. Xunjie Gou & Zeshui Xu & Huchang Liao, 2019. "Hesitant Fuzzy Linguistic Possibility Degree-Based Linear Assignment Method for Multiple Criteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 35-63, January.
    20. Simplice A. Asongu & Joseph Nnanna, 2020. "Governance and the Capital Flight Trap in Africa," Working Papers of the African Governance and Development Institute. 20/024, African Governance and Development Institute..

    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:wsi:ijitdm:v:16:y:2017:i:02:n:s0219622014500552. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijitdm/ijitdm.shtml .

    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.