IDEAS home Printed from https://ideas.repec.org/a/spr/advdac/v12y2018i1d10.1007_s11634-015-0203-0.html
   My bibliography  Save this article

CLUSKEXT: CLUstering model for SKew-symmetric data including EXTernal information

Author

Listed:
  • Donatella Vicari

    (Sapienza University of Rome)

Abstract

A CLUstering model for SKew-symmetric data including EXTernal information (CLUSKEXT) is proposed, which relies on the decomposition of a skew-symmetric matrix into within and between cluster effects which are further decomposed into regression and residual effects when possible external information on the objects is available. In order to fit the imbalances between objects, the model jointly searches for a partition of objects and appropriate weights which are in turn linearly linked to the external variables. The proposal is fitted in a least-squares framework and a decomposition of the fit is derived. An appropriate Alternating Least-Squares algorithm is provided to fit the model to illustrative real and artificial data.

Suggested Citation

  • Donatella Vicari, 2018. "CLUSKEXT: CLUstering model for SKew-symmetric data including EXTernal information," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 12(1), pages 43-64, March.
    • Handle: RePEc:spr:advdac:v:12:y:2018:i:1:d:10.1007_s11634-015-0203-0
    DOI: 10.1007/s11634-015-0203-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11634-015-0203-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11634-015-0203-0?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. Gösta Ekman, 1963. "A direct method for multidimensional ratio scaling," Psychometrika, Springer;The Psychometric Society, vol. 28(1), pages 33-41, March.
    2. Henk Kiers & Donatella Vicari & Maurizio Vichi, 2005. "Simultaneous classification and multidimensional scaling with external information," Psychometrika, Springer;The Psychometric Society, vol. 70(3), pages 433-460, September.
    3. David R. Bell & James M. Lattin, 1998. "Shopping Behavior and Consumer Preference for Store Price Format: Why “Large Basket” Shoppers Prefer EDLP," Marketing Science, INFORMS, vol. 17(1), pages 66-88.
    4. Donatella Vicari, 2014. "Classification of Asymmetric Proximity Data," Journal of Classification, Springer;The Classification Society, vol. 31(3), pages 386-420, October.
    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. David R. Bell & Jeongwen Chiang & V. Padmanabhan, 1999. "The Decomposition of Promotional Response: An Empirical Generalization," Marketing Science, INFORMS, vol. 18(4), pages 504-526.
    2. Sutthipong Meeyai, 2015. "Modeling Store Patronage: A Systematic Review," International Conference on Marketing and Business Development Journal, The Bucharest University of Economic Studies, vol. 1(1), pages 40-48, July.
    3. Volpe, Richard J., III, 2011. "Evaluating the Performance of U.S. Supermarkets: Pricing Strategies, Competition from Hypermarkets, and Private Labels," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 36(3), pages 1-16, December.
    4. Teunter, L.H. & Teunter, R.H., 2004. "Profitability of price promotions if stockpilling increases consumption," Econometric Institute Research Papers EI 2004-10, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. Ray, Sourav & Snir, Avichai & Levy, Daniel, 2023. "Retail Pricing Format and Rigidity of Regular Prices," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, pages 1-1.
    6. Noble, Stephanie M. & Lee, Kang Bok & Zaretzki, Russell & Autry, Chad, 2017. "Coupon clipping by impoverished consumers: Linking demographics, basket size, and coupon redemption rates," International Journal of Research in Marketing, Elsevier, vol. 34(2), pages 553-571.
    7. K. Sudhir, 2001. "Structural Analysis of Manufacturer Pricing in the Presence of a Strategic Retailer," Marketing Science, INFORMS, vol. 20(3), pages 244-264, October.
    8. DeSarbo, Wayne S. & Selin Atalay, A. & Blanchard, Simon J., 2009. "A three-way clusterwise multidimensional unfolding procedure for the spatial representation of context dependent preferences," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 3217-3230, June.
    9. Kim, Chul & Jun, Duk Bin & Park, Sungho, 2018. "Capturing flexible correlations in multiple-discrete choice outcomes using copulas," International Journal of Research in Marketing, Elsevier, vol. 35(1), pages 34-59.
    10. Richards, Timothy J. & Hamilton, Stephen F. & Yonezawa, Koichi, 2018. "Retail Market Power in a Shopping Basket Model of Supermarket Competition," Journal of Retailing, Elsevier, vol. 94(3), pages 328-342.
    11. Guyt, Jonne & Gijsbrechts, Els, 2018. "On consumer choice patterns and the net impact of feature promotions," International Journal of Research in Marketing, Elsevier, vol. 35(3), pages 490-508.
    12. Dr. Timothy J. Richards, 2015. "A Shameless Pitch for Quantitative Marketing," Agribusiness, John Wiley & Sons, Ltd., vol. 31(4), pages 564-567, October.
    13. Nitin Mehta, 2007. "Investigating Consumers' Purchase Incidence and Brand Choice Decisions Across Multiple Product Categories: A Theoretical and Empirical Analysis," Marketing Science, INFORMS, vol. 26(2), pages 196-217, 03-04.
    14. Gluhović Nikola, 2018. "Factors Influencing the Selection of Retail Chains with Large Purchasing in Bosnia and Herzegovina," Economic Themes, Sciendo, vol. 56(1), pages 35-56, April.
    15. Haans, Hans & Gijsbrechts, Els, 2011. "“One-deal-fits-all?” On Category Sales Promotion Effectiveness in Smaller versus Larger Supermarkets," Journal of Retailing, Elsevier, vol. 87(4), pages 427-443.
    16. Sofia Berto Villas-Boas, 2007. "Vertical Relationships between Manufacturers and Retailers: Inference with Limited Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 625-652.
    17. Puligadda, Sanjay & Ross, William T. & Chen, Jinjie & Howlett, Elizabeth, 2012. "When loyalties clash purchase behavior when a preferred brand is stocked out: The tradeoff between brand and store loyalty," Journal of Retailing and Consumer Services, Elsevier, vol. 19(6), pages 570-577.
    18. Kumar, Ashish & Trivedi, Minakshi & Bezawada, Ram & Sridhar, Karthik, 2012. "A comparative analysis of differential consumer response across supermarket and specialty store in the candy category," Journal of Retailing and Consumer Services, Elsevier, vol. 19(6), pages 561-569.
    19. Su, Yiqiang & Geunes, Joseph, 2012. "Price promotions, operations cost, and profit in a two-stage supply chain," Omega, Elsevier, vol. 40(6), pages 891-905.
    20. Sinitsyn, Maxim, 2022. "Price leadership with promotions," International Journal of Industrial Organization, Elsevier, vol. 82(C).

    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:spr:advdac:v:12:y:2018:i:1:d:10.1007_s11634-015-0203-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.