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Original Articles

Exploring the Sensitivity of Horn's Parallel Analysis to the Distributional Form of Random Data

Pages 362-388 | Published online: 10 Jun 2009

REFERENCES

  • Allen , S. J. and Hubbard , R. 1986 . Regression equations for the latent roots of random data correlation matrices with unities on the diagonal . Multivariate Behavioral Research , 21 : 393 – 96 .
  • Benjamini , Y. and Hochberg , Y. 1995 . Controlling the false discovery rate: A practical and powerful approach to multiple testing . Journal of the Royal Statistical Society. Series B (Methodological) , 57 : 289 – 300 .
  • Benjamini , Y. and Yekutieli , D. 2001 . The control of the false discovery rate in multiple testing under dependency . The Annals of Statistics , 29 : 1165 – 1188 .
  • Browne , M. W. and Cudeck , R. 1992 . Alternative ways of assessing model rit . Sociological Methods & Research , 21 : 230
  • Cattell , R. B. 1966 . The scree test for the number of factors . Multivariate Behavioral Research , 1 : 245 – 276 .
  • Cliff , N. 1988 . The eigenvalues-greater-than-one rule and the reliability of components . Psychological Bulletin , 103 : 276 – 279 .
  • Cota , A. A. , Longman , R. S. , Holden , R. R. and Fekken , G. C. 1993 . Comparing different methods for implementing parallel analysis: A practical index of accuracy . Educational and Psychological Measurement , 53 : 865 – 876 .
  • Dray , S. 2008 . On the number of principal components: A test of dimensionality based on measurements of similarity between matrices . Computational Statistics and Data Analysis , 52 : 2228 – 2237 .
  • Ford , J. K. , MacCallum , R. C. and Tait , M. 1986 . The application of exploratory factor analysis in applied psychology: A critical review and analysis . Personnel Psychology , 39 : 291 – 314 .
  • Glorfeld , L. W. 1995 . An improvement on Horn's parallel analysis methodology for selecting the correct number of factors to retain . Educational and Psychological Measurement , 55 : 377 – 393 .
  • Guttman , L. 1954 . Some necessary conditions for common-factor analysis . Psychometrika , 19 : 149 – 161 .
  • Hayton , J. C. , Allen , D. G. and Scarpello , V. 2004 . Factor retention decisions in exploratory factor analysis: A tutorial on parallel analysis . Organizational Research Methods , 7 : 191 – 205 .
  • Hofer , S. M. , Horn , J. L. and Eber , H. W. 1997 . A robust five-factor structure of the 16PF: Strong evidence from independent rotation and confirmatory factorial invariance procedures . Personality and Individual Differences , 23 : 247 – 269 .
  • Holm , S. 1979 . A simple sequentially rejective multiple test procedure . Scandinavian Journal of Statistics , 6 : 1979
  • Horn , J. L. 1965 . A rationale and test for the number of factors in factor analysis . Psychometrika , 30 : 179 – 185 .
  • Horn , J. L. and Engstrom , R. 1979 . Cattell's scree test in Relation to Bartlett's chi-square test and other observations on the number of factors problem . Multivariate Behavioral Research , 14 : 283 – 300 .
  • Humphreys , L. G. and Montanelli , R. G. 1976 . Latent roots of random data correlation matrices with squared multiple correlations on the diagonal: A Monte Carlo study . Psychometrika , 41 : 341 – 348 .
  • Jackson , D. A. 1993 . Stopping rules in principal components analysis: A comparison of heuristical and statistical approaches . Ecology , 74 : 2204 – 2214 .
  • Kaiser , H. 1960 . The application of electronic computers to factor analysis . Educational and Psychological Measurement , 20 : 141 – 151 .
  • Keeling , K. 2000 . A regression equation for determining the dimensionality of data . Multivariate Behavioral Research , 35 : 457 – 468 .
  • Lambert , Z. V. , Wildt , A. R. and Durand , R. M. 1990 . Assessing sampling variation relative to number-of-factors criteria . Educational and Psychological Measurement , 50 : 33
  • Lance , C. E. , Butts , M. M. and Michels , L. C. 2006 . The sources of four commonly reported cutoff criteria: What did they really say? . Organizational Research Methods , 9 : 202 – 220 .
  • Lautenschlager , G. J. 1989 . A comparison of alternatives to conducting Monte Carlo analyses for determining parallel analysis criteria . Multivariate Behavioral Research , 24 : 365 – 395 .
  • Longman , R. S. , Cota , A. A. , Holden , R. R. and Fekken , G. C. 1989 . A regression equation for the parallel analysis criterion in principal components analysis: Mean and 95th percentile eigenvalues . Multivariate Behavioral Research , 24 : 59 – 69 .
  • Patil , V. , Singh , S. , Mishra , S. and Todd Donavan , D. 2008 . Efficient theory development and factor retention criteria: Abandon the ‘eigenvalue greater than one’ criterion . Journal of Business Research , 61 : 162 – 170 .
  • Pennell , B. , Bowers , A. , Carr , D. , Chardoul , S. , Cheung , G. Dinkelmann , K. 2004 . The development and implementation of the National Comorbidity Survey Replication, the National Survey of American Life, and the National Latino and Asian American Survey . International Journal of Methods in Psychiatric Research , 13 : 241 – 69 .
  • Peres-Neto , P. , Jackson , D. and Somers , K. 2005 . How many principal components? Stopping rules for determining the number of non-trivial axes revisited . Computational Statistics and Data Analysis , 49 : 974 – 997 .
  • Preacher , K. J. and MacCallum , R. C. 2003 . Repairing Tom Swift's electric factor analysis machine . Understanding Statistics , 2 : 13 – 43 .
  • Silverstein , A. B. 1977 . Comparison of two criteria for determining the number of factors . Psychological Reports , 41 : 387 – 390 .
  • Steiger , J. H. and Lind , J. C. Statistically based tests for the number of common factors . Handout at the annual meeting of the Psychometric Society . Iowa City , IA . May .
  • Thompson , B. and Daniel , L. G. 1996 . Factor analytic evidence for the construct validity of scores: A historical overview and some guidelines . Educational and Psychological Measurement , 56 : 197 – 208 .
  • Velicer , W. F. , Eaton , C. A. and Fava , J. L. 2000 . “ Construct explication through factor or component analysis: A review and evaluation of alternative procedures for determining the number of factors or components ” . In Problems and solutions in human assessment: Honoring Douglas N. Jackson at seventy , Edited by: Goffen , R. D. and Helms , E. 41 – 71 . Norwell , MA : Springer .
  • Velicer , W. F. and Jackson , D. N. 1990 . Component analysis versus common factor analysis: Some issues in selecting an appropriate procedure . Multivariate Behavioral Research , 25 : 1 – 28 .
  • Zwick , W. R. and Velicer , W. F. 1986 . A comparison of five rules for determining the number of factors to retain . Psychological Bulletin , 99 : 432 – 442 .

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