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The Infinitesimal Jackknife with Exploratory Factor Analysis

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  • Guangjian Zhang
  • Kristopher Preacher
  • Robert Jennrich

Abstract

The infinitesimal jackknife, a nonparametric method for estimating standard errors, has been used to obtain standard error estimates in covariance structure analysis. In this article, we adapt it for obtaining standard errors for rotated factor loadings and factor correlations in exploratory factor analysis with sample correlation matrices. Both maximum likelihood estimation and ordinary least squares estimation are considered. Copyright The Psychometric Society 2012

Suggested Citation

  • 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.
    • Handle: RePEc:spr:psycho:v:77:y:2012:i:4:p:634-648
    DOI: 10.1007/s11336-012-9281-5
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    References listed on IDEAS

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    1. 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.
    2. Charles Crawford & George Ferguson, 1970. "A general rotation criterion and its use in orthogonal rotation," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 321-332, September.
    3. 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.
    4. Robert Jennrich, 2008. "Nonparametric Estimation of Standard Errors in Covariance Analysis Using the Infinitesimal Jackknife," Psychometrika, Springer;The Psychometric Society, vol. 73(4), pages 579-594, December.
    5. R. Jennrich & D. Clarkson, 1980. "A feasible method for standard errors of estimate in maximum likelihood factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 45(2), pages 237-247, June.
    6. Douglas Clarkson, 1979. "Estimating the standard errors of rotated factor loadings by jackknifing," Psychometrika, Springer;The Psychometric Society, vol. 44(3), pages 297-314, September.
    7. Haruhiko Ogasawara, 2007. "Higher-order approximations to the distributions of fit indexes under fixed alternatives in structural equation models," Psychometrika, Springer;The Psychometric Society, vol. 72(2), pages 227-243, June.
    8. 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.
    9. Douglas Clarkson & Robert Jennrich, 1988. "Quartic rotation criteria and algorithms," Psychometrika, Springer;The Psychometric Society, vol. 53(2), pages 251-259, June.
    10. Robert Jennrich, 1973. "Standard errors for obliquely rotated factor loadings," Psychometrika, Springer;The Psychometric Society, vol. 38(4), pages 593-604, December.
    11. Ogasawara, Haruhiko, 1998. "Standard Errors of Several Indices for Unrotated and Rotated Factors," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 49(1), pages 21-69.
    12. Claude Archer & Robert Jennrich, 1973. "Standard errors for rotated factor loadings," Psychometrika, Springer;The Psychometric Society, vol. 38(4), pages 581-592, December.
    13. Albert Satorra, 1989. "Alternative test criteria in covariance structure analysis: A unified approach," Psychometrika, Springer;The Psychometric Society, vol. 54(1), pages 131-151, March.
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