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Home » Links and downloads » Papers » Reliability of principal component analysis

  • A.K. Conlin, E.B. Martin and A.J. Morris
    Confidence limits for contribution plots
    Journal of Chemometrics, 14 (2000) 725-736
    Abstract
  • D.L. Duewer, B.R. Kowalski and J.L. Fasching
    Improving the reliability of factor analysis of chemical data by utilizing the measured analytical uncertainty
    Analytical Chemistry, 48 (1976) 2002-2010
    Abstract
  • N.M. Faber, L.M.C. Buydens and G. Kateman
    Standard errors in the eigenvalues of a cross-product matrix: theory and applications
    Journal of Chemometrics, 7 (1993) 495-526
    Abstract; request
  • N.M. Faber, M.J. Meinders, P. Geladi, M. Sjöström, L.M.C. Buydens and G. Kateman
    Random error bias in principal component analysis. I: Derivation of theoretical predictions
    Analytica Chimica Acta, 304 (1995) 257-271
    Abstract; request
  • N.M. Faber, M.J. Meinders, P. Geladi, M. Sjöström, L.M.C. Buydens and G. Kateman
    Random error bias in principal component analysis. II: Application of theoretical predictions to multivariate problems
    Analytica Chimica Acta, 304 (1995) 273-283
    Abstract; request
  • L.A. Goodman and S.J. Haberman
    The analysis of nonadditivity in two-way analysis of variance
    Journal of the American Statistical Association, 85 (1990) 139-145
    Abstract
  • R.F. Hirsch, G.L. Wu and P.C. Tway
    Reliability of factor analysis in the presence of random noise or outlying data
    Chemometrics and Intelligent Laboratory Systems, 1 (1987) 265-272
    Abstract
  • E.R. Malinowski
    Theory of error in factor analysis
    Analytical Chemistry, 49 (1977) 606-612
    Abstract
  • E.R. Malinowski
    Determination of the number of factors and the experimental error in a data matrix
    Analytical Chemistry, 49 (1977) 612-617
    Abstract
  • E.R. Malinowski
    Theory of error applied to factor loadings resulting from combination target factor analysis
    Analytica Chimica Acta, 122 (1980) 327-330
    Abstract
  • L. Milan and J. Whittaker
    Application of the parametric bootstrap to models that incorporate a singular value decomposition
    Applied Statistics, 44 (1995) 31-49
    Abstract
  • M.N. Nounou, B.R. Bakshi, P.K. Goel and X. Shen
    Bayesian principal component analysis
    Journal of Chemometrics, 16 (2002) 576-595
    Abstract
  • H. Ogasawara
    Standard errors of the principal component loadings for unstandardized and standardized variables
    British Journal of Mathematical and Statistical Psychology, 53 (2000) 155-174
    Abstract; request
  • H. Ogasawara
    Concise formulas for the standard errors of component loading estimates
    Psychometrika, 67 (2002) 289-297
    Abstract; request
  • H. Ogasawara
    Asymptotic biases of the unrotated/rotated solutions in principal component analysis
    British Journal of Mathematical and Statistical Psychology, 57 (2004) 353-376
    Abstract; request
  • H. Ogasawara
    Higher-order asymptotic standard error and asymptotic expansion in principal component analysis
    Communications in Statistics - Simulation and Computation, 35 (2006) 201-223
    Abstract; request
  • B.A. Roscoe and P.K. Hopke
    Error estimates for factor loadings and scores obtained with target transformation factor analysis
    Analytica Chimica Acta, 132 (1981) 89-97
    Abstract; request
  • M.E. Tipping and C.M. Bishop
    Probabilistic principal component analysis
    Journal of the Royal Statistical Society B, 61 (1999) 611-622
    Abstract; request