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Statistical inference of minimum rank factor analysis


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  • Alexander Shapiro


  • Jos Berge


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Bibliographic Info

Article provided by Springer in its journal Psychometrika.

Volume (Year): 67 (2002)
Issue (Month): 1 (March)
Pages: 79-94

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Handle: RePEc:spr:psycho:v:67:y:2002:i:1:p:79-94

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Keywords: factor analysis; communalities; proper solutions; explained common variance; semidefinite programming; large samples asymptotics; asymptotic normality; asymptotic bias;


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  1. Alexander Shapiro, 1982. "Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis," Psychometrika, Springer, vol. 47(2), pages 187-199, June.
  2. Louis Guttman, 1958. "To what extent can communalities reduce rank?," Psychometrika, Springer, vol. 23(4), pages 297-308, December.
  3. Alexander Shapiro & Jos Berge, 2000. "The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability," Psychometrika, Springer, vol. 65(3), pages 413-425, September.
  4. P. Bentler & J. Woodward, 1980. "Inequalities among lower bounds to reliability: With applications to test construction and factor analysis," Psychometrika, Springer, vol. 45(2), pages 249-267, June.
  5. K. J├Âreskog, 1967. "Some contributions to maximum likelihood factor analysis," Psychometrika, Springer, vol. 32(4), pages 443-482, December.
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Cited by:
  1. Albrecht, James & Anderson, Axel Z. & Vroman, Susan, 2007. "Search by Committee," IZA Discussion Papers 3137, Institute for the Study of Labor (IZA).
  2. Egbendewe-Mondzozo, Aklesso & Higgins, Lindsey M. & Shaw, W. Douglass, 2010. "Red-light cameras at intersections: Estimating preferences using a stated choice model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(5), pages 281-290, June.
  3. Dirk Tasche, 2011. "Bayesian estimation of probabilities of default for low default portfolios," Papers 1112.5550,, revised Aug 2013.


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