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Gifi Methods for Optimal Scaling in R: The Package homals

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  • 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.

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  • 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
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    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.
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    Cited by:

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    2. 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.
    3. 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.
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    5. 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.
    6. 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.
    7. 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).
    8. repec:aud:audfin:v:21:y:2019:i:50:p:90 is not listed on IDEAS
    9. 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.
    10. repec:jss:jstsof:31:i05 is not listed on IDEAS
    11. 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.
    12. Lidija Lalicic & Christian Weismayer, 2016. "The passionate use of mobiles phones among tourists," Information Technology & Tourism, Springer, vol. 16(2), pages 153-173, June.
    13. 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.
    14. 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.

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