IDEAS home Printed from https://ideas.repec.org/a/sae/jedbes/v37y2012i6p675-702.html
   My bibliography  Save this article

Alternative Multiple Imputation Inference for Mean and Covariance Structure Modeling

Author

Listed:
  • Taehun Lee

    (University of Oklahoma, Norman)

  • Li Cai

    (University of California, Los Angeles)

Abstract

Model-based multiple imputation has become an indispensable method in the educational and behavioral sciences. Mean and covariance structure models are often fitted to multiply imputed data sets. However, the presence of multiple random imputations complicates model fit testing, which is an important aspect of mean and covariance structure modeling. Extending the logic developed by Yuan and Bentler, Cai, and Cai and Lee, we propose an alternative method for conducting multiple imputation–based inference for mean and covariance structure modeling. In addition to computational simplicity, our method naturally leads to an asymptotically chi-square model fit test statistic. Using simulations, we show that our new method is well calibrated, and we illustrate it with analyses of three real data sets. A SAS macro implementing this method is also provided.

Suggested Citation

  • Taehun Lee & Li Cai, 2012. "Alternative Multiple Imputation Inference for Mean and Covariance Structure Modeling," Journal of Educational and Behavioral Statistics, , vol. 37(6), pages 675-702, December.
    • Handle: RePEc:sae:jedbes:v:37:y:2012:i:6:p:675-702
    DOI: 10.3102/1076998612458320
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.3102/1076998612458320
    Download Restriction: no
    File URL: https://libkey.io/10.3102/1076998612458320?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. Ledyard Tucker & Charles Lewis, 1973. "A reliability coefficient for maximum likelihood factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 38(1), pages 1-10, March.
    2. Donald Rubin & Dorothy Thayer, 1982. "EM algorithms for ML factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(1), pages 69-76, March.
    3. Yuan, Ke-Hai & Jennrich, Robert I., 1998. "Asymptotics of Estimating Equations under Natural Conditions," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 245-260, May.
    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. Mark Shevlin & David Boyda & James Houston & Jamie Murphy, 2015. "Measurement of the psychosis continuum: Modelling the frequency and distress of subclinical psychotic experiences," Psychosis, Taylor & Francis Journals, vol. 7(2), pages 108-118, April.
    2. E. Huebner & Rich Gilman & James Laughlin, 1999. "A Multimethod Investigation of the Multidimensionality of Children's Well-Being Reports: Discriminant Validity of Life Satisfaction and Self-Esteem," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 46(1), pages 1-22, January.
    3. Evangeline I. Chirayil & Claire L. Thompson & Sue Burney, 2014. "Predicting Human Papilloma Virus Vaccination and Pap Smear Screening Intentions Among Young Singaporean Women Using the Theory of Planned Behavior," SAGE Open, , vol. 4(4), pages 21582440145, October.
    4. Bach Quang Ho & Yuki Inoue, 2020. "Driving Network Externalities in Education for Sustainable Development," Sustainability, MDPI, vol. 12(20), pages 1-16, October.
    5. Zhenhui (Jack) Jiang & Cheng Suang Heng & Ben C. F. Choi, 2013. "Research Note —Privacy Concerns and Privacy-Protective Behavior in Synchronous Online Social Interactions," Information Systems Research, INFORMS, vol. 24(3), pages 579-595, September.
    6. Lau, Patricia Yin Yin & Tong, Jane L.Y. Terpstra & Lien, Bella Ya-Hui & Hsu, Yen-Chen & Chong, Chooi Ling, 2017. "Ethical work climate, employee commitment and proactive customer service performance: Test of the mediating effects of organizational politics," Journal of Retailing and Consumer Services, Elsevier, vol. 35(C), pages 20-26.
    7. Aßmann, Christian & Boysen-Hogrefe, Jens & Pape, Markus, 2012. "The directional identification problem in Bayesian factor analysis: An ex-post approach," Kiel Working Papers 1799, Kiel Institute for the World Economy (IfW Kiel).
    8. Zi Jia Ng & Eugene Scott Huebner & Alberto Maydeu-Olivares & Kimberly Joy Hills, 2018. "Confirmatory Factor Analytic Structure and Measurement Invariance of the Brief Multidimensional Students’ Life Satisfaction Scale (BMSLSS) in a Longitudinal Sample of Adolescents," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 11(4), pages 1237-1247, August.
    9. Cesar Ivan Aviles Gonzalez & Maura Galletta & Paola Melis & Paolo Contu & Jean Watson & Gabriele Finco & Maria Francisca Jimenez Herrera, 2019. "Cultural adaptation and psychometric validation of the Caring Efficacy scale in a sample of Italian nurses," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-11, May.
    10. Chen, Derek H. C. & Gawande, Kishore, 2007. "Underlying dimensions of knowledge assessment : factor analysis of the knowledge assessment methodology data," Policy Research Working Paper Series 4216, The World Bank.
    11. R. M. Balan & Ioana Schiopu-Kratina, 2004. "Asymptotic Results with Generalized Estimating Equations for Longitudinal data II," RePAd Working Paper Series lrsp-TRS398, Département des sciences administratives, UQO.
    12. Raymond Loi & Hang-Yue Ngo, 2010. "Mobility norms, risk aversion, and career satisfaction of Chinese employees," Asia Pacific Journal of Management, Springer, vol. 27(2), pages 237-255, June.
    13. Tahia Anan Dhira & Mahir A Rahman & Abdur Razzaque Sarker & Jeenat Mehareen, 2021. "Validity and reliability of the Generalized Anxiety Disorder-7 (GAD-7) among university students of Bangladesh," PLOS ONE, Public Library of Science, vol. 16(12), pages 1-16, December.
    14. Anne Mäkikangas & Wilmar Schaufeli & Esko Leskinen & Ulla Kinnunen & Katriina Hyvönen & Taru Feldt, 2016. "Long-Term Development of Employee Well-Being: A Latent Transition Approach," Journal of Happiness Studies, Springer, vol. 17(6), pages 2325-2345, December.
    15. Dharm Dev Bhatta & Muddassar Sarfraz & Larisa Ivascu & Marius Pislaru, 2023. "The Nexus of Corporate Affinity for Technology and Firm Sustainable Performance in the Era of Digitalization: A Mediated Model," Sustainability, MDPI, vol. 15(12), pages 1-20, June.
    16. Wu, Pei-Hsun & Kao, Danny Tengti, 2011. "Goal orientation and variety seeking behavior: The role of decision task," Journal of Economic Psychology, Elsevier, vol. 32(1), pages 65-72, February.
    17. Richard Dembo & Rhissa Briones-Robinson & Jennifer Wareham & Ken C. Winters & Rocío Ungaro & James Schmeidler, 2014. "Brief Intervention Impact on Truant Youth Attitudes to School and School Behavior Problems: A Longitudinal Study," Journal of Educational and Developmental Psychology, Canadian Center of Science and Education, vol. 4(1), pages 163-163, May.
    18. Caterina Primi & Monica Giuli & Emanuele Baroni & Vanessa Zurkirch & Matteo Galanti & Laura Belloni & Costanza Gori & Maria Anna Donati, 2023. "The Individual- and Organization-Related Stressors in Pandemic Scale for Healthcare Workers (IOSPS-HW): Development and Psychometric Properties of a New Instrument to Assess Individual and Organizatio," IJERPH, MDPI, vol. 20(5), pages 1-17, February.
    19. 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.
    20. Thomas Schofield & Melissa Merrick & Chia-Feng Chen, 2016. "Reciprocal Associations between Neighborhood Context and Parent Investments: Selection Effects in Two Longitudinal Samples," Working Papers wp16-08-ff, Princeton University, School of Public and International Affairs, Center for Research on Child Wellbeing..

    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:jedbes:v:37:y:2012:i:6:p:675-702. 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.