IDEAS home Printed from https://ideas.repec.org/a/spr/qualqt/v48y2014i3p1785-1797.html
   My bibliography  Save this article

Toward a simple structure: a comparison of different rotation techniques

Author

Listed:
  • Giovanni Franco

Abstract

This paper thematise the problem of seeking and devising a simple structure, when the solution envisages the extraction of more than one component or factor. To this avail, we shall make a comparison between a number of rotation techniques, both orthogonal and oblique, to evaluate just how capable they are of delivering the highest possible semplification of the data yielded by the analysis. To evaluate the results obtained through empirical controls, we have drawn up a simple structure index. For reasons of space, we shall apply principal components analysis to our method, although the results obtained here also hold for factor analysis. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Giovanni Franco, 2014. "Toward a simple structure: a comparison of different rotation techniques," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(3), pages 1785-1797, May.
  • Handle: RePEc:spr:qualqt:v:48:y:2014:i:3:p:1785-1797
    DOI: 10.1007/s11135-013-9874-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11135-013-9874-9
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11135-013-9874-9?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. Henry Kaiser, 1958. "The varimax criterion for analytic rotation in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(3), pages 187-200, September.
    2. Urbano Lorenzo-Seva, 2003. "A factor simplicity index," Psychometrika, Springer;The Psychometric Society, vol. 68(1), pages 49-60, March.
    3. Henry Kaiser, 1974. "An index of factorial simplicity," Psychometrika, Springer;The Psychometric Society, vol. 39(1), pages 31-36, March.
    4. P. Bentler, 1977. "Factor simplicity index and transformations," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 277-295, June.
    5. R. Jennrich & P. Sampson, 1966. "Rotation for simple loadings," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 313-323, September.
    6. John Carroll, 1953. "An analytical solution for approximating simple structure in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 23-38, March.
    7. Chester Harris & Henry Kaiser, 1964. "Oblique factor analytic solutions by orthogonal transformations," Psychometrika, Springer;The Psychometric Society, vol. 29(4), pages 347-362, December.
    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. Urbano Lorenzo-Seva, 2003. "A factor simplicity index," Psychometrika, Springer;The Psychometric Society, vol. 68(1), pages 49-60, March.
    2. Lorenzo-Seva, U. & van de Velden, M. & Kiers, H.A.L., 2007. "Oblique rotation in correspondence analysis: a step forward in the simplest interpretation," Econometric Institute Research Papers EI 2007-25, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Urbano Lorenzo-Seva & Antoni Rodríguez-Fornells, 2006. "Acquiescent Responding in Balanced Multidimensional Scales and Exploratory Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 71(4), pages 769-777, December.
    4. Thomas Despois & Catherine Doz, 2022. "Identifying and interpreting the factors in factor models via sparsity : Different approaches," Working Papers halshs-03626503, HAL.
    5. Thomas Despois & Catherine Doz, 2023. "Identifying and interpreting the factors in factor models via sparsity: Different approaches," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 38(4), pages 533-555, June.
    6. Urbano Lorenzo-Seva, 2000. "The weighted oblimin rotation," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 301-318, September.
    7. repec:jss:jstsof:31:i08 is not listed on IDEAS
    8. P. Bentler, 1977. "Factor simplicity index and transformations," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 277-295, June.
    9. Olgierd Porebski, 1968. "A semi-orthogonal dependent factor solution," Psychometrika, Springer;The Psychometric Society, vol. 33(4), pages 451-468, December.
    10. Thomas Despois & Catherine Doz, 2022. "Identifying and interpreting the factors in factor models via sparsity : Different approaches," PSE Working Papers halshs-03626503, HAL.
    11. Henk Kiers, 1997. "Three-mode orthomax rotation," Psychometrika, Springer;The Psychometric Society, vol. 62(4), pages 579-598, December.
    12. A. Ralph Hakstian, 1971. "A comparative evaluation of several prominent methods of oblique factor transformation," Psychometrika, Springer;The Psychometric Society, vol. 36(2), pages 175-193, June.
    13. Lorenzo-Seva, Urbano & van de Velden, Michel & Kiers, Henk A. L., 2009. "CAR: A MATLAB Package to Compute Correspondence Analysis with Rotations," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 31(i08).
    14. Michael Brusco & Renu Singh & Douglas Steinley, 2009. "Variable Neighborhood Search Heuristics for Selecting a Subset of Variables in Principal Component Analysis," Psychometrika, Springer;The Psychometric Society, vol. 74(4), pages 705-726, December.
    15. Douglas Clarkson & Robert Jennrich, 1988. "Quartic rotation criteria and algorithms," Psychometrika, Springer;The Psychometric Society, vol. 53(2), pages 251-259, June.
    16. Luke Mosley & Tak-Shing Chan & Alex Gibberd, 2023. "sparseDFM: An R Package to Estimate Dynamic Factor Models with Sparse Loadings," Papers 2303.14125, arXiv.org.
    17. Rodríguez-Fuentes, Carlos Javier & Hernández-López, Montserrat, 1997. "Análisis de diferencias estructurales interregionales determinantes en el impacto de la política monetaria," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 7, pages 141-157, Junio.
    18. Henk Kiers, 1994. "Simplimax: Oblique rotation to an optimal target with simple structure," Psychometrika, Springer;The Psychometric Society, vol. 59(4), pages 567-579, December.
    19. Hauck, Jana & Suess-Reyes, Julia & Beck, Susanne & Prügl, Reinhard & Frank, Hermann, 2016. "Measuring socioemotional wealth in family-owned and -managed firms: A validation and short form of the FIBER Scale," Journal of Family Business Strategy, Elsevier, vol. 7(3), pages 133-148.
    20. Peter Filzmoser, 2000. "Orthogonal principal planes," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 363-376, September.
    21. Jin, Shaobo & Moustaki, Irini & Yang-Wallentin, Fan, 2018. "Approximated penalized maximum likelihood for exploratory factor analysis: an orthogonal case," LSE Research Online Documents on Economics 88118, London School of Economics and Political Science, LSE Library.

    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:qualqt:v:48:y:2014:i:3:p:1785-1797. 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.