IDEAS home Printed from https://ideas.repec.org/a/jss/jstsof/v073i04.html
   My bibliography  Save this article

Looking Back at the Gifi System of Nonlinear Multivariate Analysis

Author

Listed:
  • van der Heijden, Peter G. M.
  • van Buuren, Stef

Abstract

Gifi was the nom de plume for a group of researchers led by Jan de Leeuw at the University of Leiden. Between'70 and'90 the group produced a stream of theoretical papers and computer programs in the area of nonlinear multivariate analysis that were very innovative. In an informal way this paper discusses the so-called Gifi system of nonlinear multivariate analysis, that entails homogeneity analysis (which is closely related to multiple correspondence analysis) and generalizations. The history is discussed, giving attention to the scientific philosophy of this group, and links to machine learning are indicated.

Suggested Citation

  • van der Heijden, Peter G. M. & van Buuren, Stef, 2016. "Looking Back at the Gifi System of Nonlinear Multivariate Analysis," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 73(i04).
    • Handle: RePEc:jss:jstsof:v:073:i04
    DOI: http://hdl.handle.net/10.18637/jss.v073.i04
    as

    Download full text from publisher

    File URL: https://www.jstatsoft.org/index.php/jss/article/view/v073i04/v73i04.pdf
    Download Restriction: no
    File URL: https://libkey.io/http://hdl.handle.net/10.18637/jss.v073.i04?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
    ---><---

    References listed on IDEAS

    as
    1. Forrest Young, 1981. "Quantitative analysis of qualitative data," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 357-388, December.
    2. I.W. Molenaar, 1988. "Formal statistics and informal data analysis, or why laziness should be discouraged," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 42(2), pages 83-90, June.
    3. Husson, François & Josse, Julie & Saporta, Gilbert, 2016. "Jan de Leeuw and the French School of Data Analysis," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 73(i06).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mair, Patrick & Mullen, Katharine, 2016. "Honoring the Lion: A Festschrift for Jan de Leeuw," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 73(i01).
    2. Evan Munro & Serena Ng, 2022. "Latent Dirichlet Analysis of Categorical Survey Responses," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(1), pages 256-271, January.

    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. Jan Leeuw, 1988. "Multivariate analysis with linearizable regressions," Psychometrika, Springer;The Psychometric Society, vol. 53(4), pages 437-454, December.
    2. Naomichi Makino, 2015. "Generalized data-fitting factor analysis with multiple quantification of categorical variables," Computational Statistics, Springer, vol. 30(1), pages 279-292, March.
    3. Sara Casacci & Adriano Pareto, 2018. "Subjective Indicators Construction by Distance Indices: An Application to Life Satisfaction Data," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 137(3), pages 831-846, June.
    4. Kim, Jung Seek & Ratchford, Brian T., 2013. "A Bayesian multivariate probit for ordinal data with semiparametric random-effects," Computational Statistics & Data Analysis, Elsevier, vol. 64(C), pages 192-208.
    5. van Rosmalen, J.M. & Koning, A.J. & Groenen, P.J.F., 2007. "Optimal Scaling of Interaction Effects in Generalized Linear Models," Econometric Institute Research Papers EI 2007-44, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    6. Michailidis, George & de Leeuw, Jan, 2000. "Multilevel homogeneity analysis with differential weighting," Computational Statistics & Data Analysis, Elsevier, vol. 32(3-4), pages 411-442, January.
    7. Fabio Humberto Sepúlveda Murillo & Jorge Chica Olmo & Norely Margarita Soto Builes, 2019. "Spatial Variability Analysis of Quality of Life and Its Determinants: A Case Study of Medellín, Colombia," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 144(3), pages 1233-1256, August.
    8. S.M. Shen & Y.L. Lai, 2001. "Handling incomplete Quality-of-Life Data," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 55(2), pages 121-166, August.
    9. Hansohm, Jürgen, 2007. "Algorithms and error estimations for monotone regression on partially preordered sets," Journal of Multivariate Analysis, Elsevier, vol. 98(5), pages 1043-1050, May.
    10. Florian Schuberth & Jörg Henseler & Theo K. Dijkstra, 2018. "Partial least squares path modeling using ordinal categorical indicators," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(1), pages 9-35, January.
    11. Javier Armando Pineda & Carlos Eduardo Acosta, 2011. "Calidad Del Trabajo: Aproximaciones Teóricas Y Estimación De Un Índice Compuesto," Revista ESPE - Ensayos Sobre Política Económica, Banco de la República, vol. 29(65), pages 60-105, June.
    12. Ivo Molenaar, 1998. "Data, model, conclusion, doing it again," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 315-340, December.
    13. Peter Verboon & Ivo Lans, 1994. "Robust canonical discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 59(4), pages 485-507, December.
    14. Kuroda, Masahiro & Mori, Yuichi & Iizuka, Masaya & Sakakihara, Michio, 2011. "Acceleration of the alternating least squares algorithm for principal components analysis," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 143-153, January.
    15. Katherine Morales & Miguel Flores & Yasmín Salazar Méndez, 2021. "Analysis of Principal Nonlinear Components for the Construction of a Socioeconomic Stratification Index in Ecuador," Revista Desarrollo y Sociedad, Universidad de los Andes,Facultad de Economía, CEDE, vol. 88(2), pages 43-82, July.
    16. Vittadini, Giorgio & Lovaglio, Pietro Giorgio, 2007. "Evaluation of the Dagum-Slottje method to estimate household human capital," Structural Change and Economic Dynamics, Elsevier, vol. 18(2), pages 270-278, June.
    17. Abby Israels, 1984. "Redundancy analysis for qualitative variables," Psychometrika, Springer;The Psychometric Society, vol. 49(3), pages 331-346, September.
    18. C Mar-Molinero & J Mingers, 2007. "An evaluation of the limitations of, and alternatives to, the Co-Plot methodology," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 874-886, July.
    19. Seohee Park & Seongeun Kim & Ji Hoon Ryoo, 2020. "Latent Class Regression Utilizing Fuzzy Clusterwise Generalized Structured Component Analysis," Mathematics, MDPI, vol. 8(11), pages 1-16, November.
    20. Heungsun Hwang & Yoshio Takane, 2004. "A multivariate reduced-rank growth curve model with unbalanced data," Psychometrika, Springer;The Psychometric Society, vol. 69(1), pages 65-79, March.

    More about this item

    Statistics

    Access and download statistics

    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:jss:jstsof:v:073:i04. 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: Christopher F. Baum (email available below). General contact details of provider: http://www.jstatsoft.org/ .

    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.