IDEAS home Printed from https://ideas.repec.org/a/jss/jstsof/v031i04.html
   My bibliography  Save this article

Gifi Methods for Optimal Scaling in R: The Package homals

Author

Listed:
  • de Leeuw, Jan
  • Mair, Patrick

Abstract

Homogeneity analysis combines the idea of maximizing the correlations between variables of a multivariate data set with that of optimal scaling. In this article we present methodological and practical issues of the R package homals which performs homogeneity analysis and various extensions. By setting rank constraints nonlinear principal component analysis can be performed. The variables can be partitioned into sets such that homogeneity analysis is extended to nonlinear canonical correlation analysis or to predictive models which emulate discriminant analysis and regression models. For each model the scale level of the variables can be taken into account by setting level constraints. All algorithms allow for missing values.

Suggested Citation

  • de Leeuw, Jan & Mair, Patrick, 2009. "Gifi Methods for Optimal Scaling in R: The Package homals," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 31(i04).
  • Handle: RePEc:jss:jstsof:v:031:i04
    DOI: http://hdl.handle.net/10.18637/jss.v031.i04
    as

    Download full text from publisher

    File URL: https://www.jstatsoft.org/index.php/jss/article/view/v031i04/v31i04.pdf
    Download Restriction: no

    File URL: https://www.jstatsoft.org/index.php/jss/article/downloadSuppFile/v031i04/homals_1.0-0.tar.gz
    Download Restriction: no

    File URL: https://www.jstatsoft.org/index.php/jss/article/downloadSuppFile/v031i04/v31i04.R.zip
    Download Restriction: no

    File URL: https://libkey.io/http://hdl.handle.net/10.18637/jss.v031.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. van der Burg, Eeke & de Leeuw, Jan & Dijksterhuis, Garmt, 1994. "OVERALS : Nonlinear canonical correlation with k sets of variables," Computational Statistics & Data Analysis, Elsevier, vol. 18(1), pages 141-163, August.
    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. Javier Espinosa-Brito & Christian Hennig, 2021. "Inference for the proportional odds cumulative logit model with monotonicity constraints for ordinal predictors and ordinal response," Papers 2107.04946, arXiv.org, revised Jun 2023.
    2. Pi, J. & Wang, Honggang & Pardalos, Panos M., 2021. "A dual reformulation and solution framework for regularized convex clustering problems," European Journal of Operational Research, Elsevier, vol. 290(3), pages 844-856.
    3. Jared Abigail Valencia-Salvador & Fabio Humberto Sepúlveda-Murillo & Miguel Alfonso Flores-Sánchez & Norely Margarita Soto Builes, 2022. "Spatial Distribution of Social Inequality in the Metropolitan District of Quito, Ecuador," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 163(2), pages 753-769, September.
    4. Sühlsen, Kathrin & Hisschemöller, Matthijs, 2014. "Lobbying the ‘Energiewende’. Assessing the effectiveness of strategies to promote the renewable energy business in Germany," Energy Policy, Elsevier, vol. 69(C), pages 316-325.
    5. de Leeuw, Jan & Mair, Patrick, 2009. "Simple and Canonical Correspondence Analysis Using the R Package anacor," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 31(i05).
    6. repec:aud:audfin:v:21:y:2019:i:50:p:90 is not listed on IDEAS
    7. Cristinel Petrisor Constantin & Ioana Bianca Chitu & Evelina Gradinaru & Lavinia Dovleac & Gabriel Bratucu, 2019. "Approaching the Bioeconomy in Terms of Increasing the Energy Efficiency of Households in Romania," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 21(50), pages 1-90, February.
    8. repec:jss:jstsof:31:i05 is not listed on IDEAS
    9. Giacomo Marzi & Marina Dabić & Tugrul Daim & Edwin Garces, 2017. "Product and process innovation in manufacturing firms: a 30-year bibliometric analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 113(2), pages 673-704, November.
    10. Lidija Lalicic & Christian Weismayer, 2016. "The passionate use of mobiles phones among tourists," Information Technology & Tourism, Springer, vol. 16(2), pages 153-173, June.
    11. Yongcheng Wang & Yiik Diew Wong & Kelvin Goh, 2021. "Perceived importance of inclusive street dimensions: a public questionnaire survey from a vision(ing) perspective," Transportation, Springer, vol. 48(2), pages 699-721, April.
    12. Stef Van Buuren & Rom Perenboom, 2014. "The Fountain of Age: A Remarkable 3D Shape that Portrays Health and Functional Differences among the European Elderly," IJERPH, MDPI, vol. 11(4), pages 1-13, April.
    13. Hernan Mondani, 2018. "The underlying geometry of organizational dynamics: similarity-based social space and labor flow network communities," Computational and Mathematical Organization Theory, Springer, vol. 24(3), pages 378-400, September.
    14. Giulio Caperna & Giovanna Boccuzzo, 2018. "Use of Poset Theory with Big Datasets: A New Proposal Applied to the Analysis of Life Satisfaction in Italy," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(3), pages 1071-1088, April.

    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. Dahl, Tobias & Naes, Tormod, 2006. "A bridge between Tucker-1 and Carroll's generalized canonical analysis," Computational Statistics & Data Analysis, Elsevier, vol. 50(11), pages 3086-3098, July.
    2. Nikolett Deutsch & László Berényi, 2018. "Personal approach to sustainability of future decision makers: a Hungarian case," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 20(1), pages 271-303, February.
    3. Alicja Grzeskowiak, 2016. "Satisfaction with chosen aspects of life in Poland - evaluation by canonical correlation methods," International Journal of Social Sciences, International Institute of Social and Economic Sciences, vol. 5(1), pages 60-71, February.
    4. J. Vrooman & Stella Hoff, 2013. "The Disadvantaged Among the Dutch: A Survey Approach to the Multidimensional Measurement of Social Exclusion," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 113(3), pages 1261-1287, September.
    5. Yongcheng Wang & Yiik Diew Wong & Kelvin Goh, 2021. "Perceived importance of inclusive street dimensions: a public questionnaire survey from a vision(ing) perspective," Transportation, Springer, vol. 48(2), pages 699-721, April.
    6. Tammo Bijmolt & Michel Velden, 2012. "Multiattribute perceptual mapping with idiosyncratic brand and attribute sets," Marketing Letters, Springer, vol. 23(3), pages 585-601, September.
    7. Jeroen Boelhouwer, 2017. "Bridging the Gap: Overcoming Data Difficulties During 40 Years of Measuring Well-Being in The Netherlands," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 130(1), pages 129-145, January.
    8. repec:jss:jstsof:31:i04 is not listed on IDEAS

    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:031: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.