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A unified approach to exploratory factor analysis with missing data, nonnormal data, and in the presence of outliers

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  • Ke-Hai Yuan
  • Linda Marshall
  • Peter Bentler

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  • Ke-Hai Yuan & Linda Marshall & Peter Bentler, 2002. "A unified approach to exploratory factor analysis with missing data, nonnormal data, and in the presence of outliers," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 95-121, March.
    • Handle: RePEc:spr:psycho:v:67:y:2002:i:1:p:95-121
    DOI: 10.1007/BF02294711
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    References listed on IDEAS

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    1. Verboon, Peter & Heiser, Willem J., 1994. "Resistant lower rank approximation of matrices by iterative majorization," Computational Statistics & Data Analysis, Elsevier, vol. 18(4), pages 457-467, November.
    2. Henry Kaiser, 1958. "The varimax criterion for analytic rotation in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(3), pages 187-200, September.
    3. Wim Krijnen & Theo Dijkstra & Richard Gill, 1998. "Conditions for factor (in)determinacy in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 359-367, December.
    4. C. Hendricks Brown, 1983. "Asymptotic comparison of missing data procedures for estimating factor loadings," Psychometrika, Springer;The Psychometric Society, vol. 48(2), pages 269-291, June.
    5. Masanori Ichikawa & Sadanori Konishi, 1995. "Application of the bootstrap methods in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 60(1), pages 77-93, March.
    6. Kentaro Hayashi & Yiu-Fai Yung, 1999. "Standard errors for the class of orthomax-rotated factor loadings: Some matrix results," Psychometrika, Springer;The Psychometric Society, vol. 64(4), pages 451-460, December.
    7. Robert Jennrich, 1973. "Standard errors for obliquely rotated factor loadings," Psychometrika, Springer;The Psychometric Society, vol. 38(4), pages 593-604, December.
    8. Carl Finkbeiner, 1979. "Estimation for the multiple factor model when data are missing," Psychometrika, Springer;The Psychometric Society, vol. 44(4), pages 409-420, December.
    9. Robert Jennrich, 1978. "Rotational equivalence of factor loading matrices with specified values," Psychometrika, Springer;The Psychometric Society, vol. 43(3), pages 421-426, September.
    10. N. A. Campbell, 1980. "Robust Procedures in Multivariate Analysis I: Robust Covariance Estimation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(3), pages 231-237, November.
    11. Bengt Muthén & David Kaplan & Michael Hollis, 1987. "On structural equation modeling with data that are not missing completely at random," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 431-462, September.
    12. Yutaka Tanaka & Yoshimasa Odaka, 1989. "Influential observations in principal factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 475-485, September.
    13. repec:ucp:bkecon:9780226316529 is not listed on IDEAS
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    Citations

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    Cited by:

    1. Ke-Hai Yuan & Zhiyong Zhang & Lijuan Wang, 2024. "Signal-to-Noise Ratio in Estimating and Testing the Mediation Effect: Structural Equation Modeling versus Path Analysis with Weighted Composites," Psychometrika, Springer;The Psychometric Society, vol. 89(3), pages 974-1006, September.
    2. Guangjian Zhang & Minami Hattori & Lauren A. Trichtinger, 2023. "Rotating Factors to Simplify Their Structural Paths," Psychometrika, Springer;The Psychometric Society, vol. 88(3), pages 865-887, September.
    3. Ke-Hai Yuan & Kentaro Hayashi, 2005. "On muthén’s maximum likelihood for two-level covariance structure models," Psychometrika, Springer;The Psychometric Society, vol. 70(1), pages 147-167, March.
    4. Subash Chandra Pattnaik & Rashmita Sahoo, 2021. "High-performance Work Practices, Affective Commitment of Employees and Organizational Performance: A Multi-level Modelling Using 2-1-2 Mediation Analysis," Global Business Review, International Management Institute, vol. 22(6), pages 1594-1609, December.
    5. Guangjian Zhang & Kristopher Preacher & Robert Jennrich, 2012. "The Infinitesimal Jackknife with Exploratory Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 77(4), pages 634-648, October.
    6. Gonçalo Rodrigues Brás & Miguel Torres Preto, 2021. "The consequences of intrapreneurship in exporting firms: a structural-model approach," CeBER Working Papers 2021-06, Centre for Business and Economics Research (CeBER), University of Coimbra.
    7. Yinqiu He & Zi Wang & Gongjun Xu, 2021. "A Note on the Likelihood Ratio Test in High-Dimensional Exploratory Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 442-463, June.
    8. Serena Ng & Susannah Scanlan, 2023. "Constructing High Frequency Economic Indicators by Imputation," Papers 2303.01863, arXiv.org, revised Oct 2023.
    9. W. Holmes Finch, 2024. "Comparison of Methods for Addressing Outliers in Exploratory Factor Analysis and Impact on Accuracy of Determining the Number of Factors," Stats, MDPI, vol. 7(3), pages 1-21, August.
    10. Ke-Hai Yuan & Zhiyong Zhang, 2012. "Robust Structural Equation Modeling with Missing Data and Auxiliary Variables," Psychometrika, Springer;The Psychometric Society, vol. 77(4), pages 803-826, October.
    11. Yuan, Ke-Hai & Chan, Wai, 2008. "Structural equation modeling with near singular covariance matrices," Computational Statistics & Data Analysis, Elsevier, vol. 52(10), pages 4842-4858, June.

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