IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v22y1993i2p214-247.html
   My bibliography  Save this article

The Covariance Structure Analysis of Ipsative Data

Author

Listed:
  • WAI CHAN

    (University of California, Los Angeles)

  • PETER M. BENTLER

    (University of California, Los Angeles)

Abstract

Data are called ipsative if they are subject to a constant-sum constraint for each observation. Usually, ipsative data are the consequence of transformation of their corresponding preipsative data. In this article, two kinds of ipsative data are defined. They are the additive ipsative data (AID) and the multiplicative ipsative data (MID). Jackson and Alwin proposed a method to analyze AID in exploratory factor analysis. However, they failed to provide the estimates of the original factor loadings. In this study, first, their method is modified in the context of covariance structure analysis. It is discovered that the original parameter estimates can usually be recovered provided the model of the preipsative data is well defined. An artificial example is used to demonstrate the suggested method. Second, the method is extended to the case of MID. A real example is considered also. Finally, some related issues, problems, and generalizations are addressed and discussed.

Suggested Citation

  • Wai Chan & Peter M. Bentler, 1993. "The Covariance Structure Analysis of Ipsative Data," Sociological Methods & Research, , vol. 22(2), pages 214-247, November.
    • Handle: RePEc:sae:somere:v:22:y:1993:i:2:p:214-247
    DOI: 10.1177/0049124193022002003
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0049124193022002003
    Download Restriction: no
    File URL: https://libkey.io/10.1177/0049124193022002003?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. Bekker, Paul A., 1989. "Identification in restricted factor models and the evaluation of rank conditions," Journal of Econometrics, Elsevier, vol. 41(1), pages 5-16, May.
    2. Gerhard Seidel & Cornelia Eicheler, 1990. "Identification structure of linear structural models," Quality & Quantity: International Journal of Methodology, Springer, vol. 24(4), pages 345-365, November.
    3. P. Bentler, 1986. "Structural modeling and psychometrika: An historical perspective on growth and achievements," Psychometrika, Springer;The Psychometric Society, vol. 51(1), pages 35-51, March.
    4. A. Shapiro & M. Browne, 1983. "On the investigation of local identifiability: A counterexample," Psychometrika, Springer;The Psychometric Society, vol. 48(2), pages 303-304, June.
    5. Roderick McDonald, 1982. "A note on the investigation of local and global identifiability," Psychometrika, Springer;The Psychometric Society, vol. 47(1), pages 101-103, March.
    6. P. Bentler & David Weeks, 1980. "Linear structural equations with latent variables," Psychometrika, Springer;The Psychometric Society, vol. 45(3), pages 289-308, September.
    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. Roderick McDonald, 1986. "Describing the elephant: Structure and function in multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 51(4), pages 513-534, December.
    2. Lawrence S. Mayer & Steven S. Carroll, 1988. "Measures of Dependence for Cross-Lagged Panel Models," Sociological Methods & Research, , vol. 17(1), pages 93-120, August.
    3. P. M. Bentler & Chih-Ping Chou, 1987. "Practical Issues in Structural Modeling," Sociological Methods & Research, , vol. 16(1), pages 78-117, August.
    4. Po-Hsien Huang & Hung Chen & Li-Jen Weng, 2017. "A Penalized Likelihood Method for Structural Equation Modeling," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 329-354, June.
    5. David Kaplan, 1994. "Estimator Conditioning Diagnostics for Covariance Structure Models," Sociological Methods & Research, , vol. 23(2), pages 200-229, November.
    6. Jeffrey J. Hoogland & Anne Boomsma, 1998. "Robustness Studies in Covariance Structure Modeling," Sociological Methods & Research, , vol. 26(3), pages 329-367, February.
    7. Fionn Murtagh & R. Curnow & J. Felsenstein & P. Sneath & Margaret Wright & A. Bowman & P. Altham & J. Jeffers & Martin Crowder & P. Bentler & Šarnas Raudys, 1991. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 8(1), pages 115-148, January.
    8. Farzanegan, Mohammad Reza, 2009. "Illegal trade in the Iranian economy: Evidence from a structural model," European Journal of Political Economy, Elsevier, vol. 25(4), pages 489-507, December.
    9. Bergeron, François & Raymond, Louis & Rivard, Suzanne, 2001. "Fit in strategic information technology management research: an empirical comparison of perspectives," Omega, Elsevier, vol. 29(2), pages 125-142, April.
    10. Hugo Horta & João M. Santos, 2016. "An instrument to measure individuals’ research agenda setting: the multi-dimensional research agendas inventory," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(3), pages 1243-1265, September.
    11. Iskrev, Nikolay, 2010. "Local identification in DSGE models," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 189-202, March.
    12. Clement Stone & Michael Sobel, 1990. "The robustness of estimates of total indirect effects in covariance structure models estimated by maximum," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 337-352, June.
    13. Sentana, Enrique & Fiorentini, Gabriele, 2001. "Identification, estimation and testing of conditionally heteroskedastic factor models," Journal of Econometrics, Elsevier, vol. 102(2), pages 143-164, June.
    14. Muhammad Waqas & Qian-li Dong & Naveed Ahmad & Yuming Zhu & Muhammad Nadeem, 2018. "Critical Barriers to Implementation of Reverse Logistics in the Manufacturing Industry: A Case Study of a Developing Country," Sustainability, MDPI, vol. 10(11), pages 1-25, November.
    15. Muhammad Waqas & Qian-li Dong & Naveed Ahmad & Yuming Zhu & Muhammad Nadeem, 2018. "Understanding Acceptability towards Sustainable Transportation Behavior: A Case Study of China," Sustainability, MDPI, vol. 10(10), pages 1-24, October.
    16. Sylvia Frühwirth-Schnatter & Darjus Hosszejni & Hedibert Freitas Lopes, 2023. "When It Counts—Econometric Identification of the Basic Factor Model Based on GLT Structures," Econometrics, MDPI, vol. 11(4), pages 1-30, November.
    17. Timo Bechger & Norman Verhelst & Huub Verstralen, 2001. "Identifiability of nonlinear logistic test models," Psychometrika, Springer;The Psychometric Society, vol. 66(3), pages 357-371, September.
    18. Kriswardhana, Willy & Esztergár-Kiss, Domokos, 2023. "Exploring the aspects of MaaS adoption based on college students’ preferences," Transport Policy, Elsevier, vol. 136(C), pages 113-125.
    19. Kenneth A. Bollen & Patrick J. Curran, 2004. "Autoregressive Latent Trajectory (ALT) Models A Synthesis of Two Traditions," Sociological Methods & Research, , vol. 32(3), pages 336-383, February.
    20. Poelmans, Steven, 2001. "Work-family conflict as a mediator of the work stress - mental health relationship," IESE Research Papers D/443, IESE Business School.

    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:sae:somere:v:22:y:1993:i:2:p:214-247. 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: SAGE Publications (email available below). General contact details of provider: .

    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.