Skip to main content
Have a personal or library account? Click to login
A cautionary note concerning a commonly applied eigenanalysis procedure Cover

A cautionary note concerning a commonly applied eigenanalysis procedure

Open Access
|Jan 1988

References

  1. Baker , M. B. , Caniparoli , D. and Harrison , H . 1981 . An analysis of the first year of MAP3S rain chemis-try measurements . Atmos. Environ. 15 , 43 55 .
  2. Barnston , A. G. and Livezey , R. E . 1987 . Classifica-tion, seasonality and persistence of low-frequency atmospheric circulation patterns . Mon. Wea. Rev . 115 , 1083 1126 .
  3. Bartlett , M. S . 1950 . Tests of significance in factor analysis . Br. J. Psych. (Stat. Sec .) 3 , 77 85 .
  4. BMDP , 1981 . Biomedical computer programs P-series . University of California Press, Berkeley , CA .
  5. Brier , G. W. and Meltesen , G. T . 1976 . Eigenvector analysis for prediction of time series . J. Appl. Meteorol . 15 , 1307 1312 .
  6. Cattell , R. B . 1966 . The scree test for the number of factors. Multivar. Behav. Res. 1, 245 - 276 .
  7. Christensen , W. I. and Bryson , R. A . 1966 . An investigation of the potential of component analysis for weather classification . Mon. Wea. Rev . 94 , 697 709 .
  8. Clarkson , D. B . 1979 . Estimating the standard errors of rotated factor loadings by jackknifing . Psychometrika 44 , 297 314 .
  9. Cohen , S. J . 1983 . Classification of 500 mb height anomalies using obliquely rotated principal components . J. Clim. Appl. Meteorol . 22 , 1975 1988 .
  10. Craddock , J. M. and Flood , C. R . 1969 . Eigenvectors for representing the 500 mb geopotential surface over the northern hemisphere . Q. J. R. Meteorol. Soc . 95 , 576 593 .
  11. Crawford , C. B. and Koopman , P . 1979 . Note: inter-rater reliability of scree test and mean square ratio test of number of factors . Percept. Motor Skills 49 , 223 226 .
  12. Dyer , T. G. J . 1975 . The assignment of rainfall stations into homogeneous groups: An application of princi-pal components analysis . Q. J. R. Meteorol. Soc . 101 , 1000 1013 .
  13. EISPACK 1976 . Matrix Eigensystems Routines-EISPACK Guide . 2nd ed ., Vol. 6 of Lecture Notes in Computer Science , ed. B. T. Smith et al., Springer-Verlag , New York .
  14. Gatz , D. F . 1984 . Source apportionment of rain water impurities in central Illinois . Atmos. Environ . 18 , 1895 1904 .
  15. Gray , B. M . 1981 . On the stability of temperature eigenvector patterns . J. Climatol . 1 , 273 281 .
  16. Hakstian , A. R , Rogers , W. T. and Cattell , R. B . 1982 . The behavior of number-of-factors rules with simu-lated data . Multivar. Behav. Res. 17 , 193 219 .
  17. Harman , H. H . 1976 . Modern factor analyses , 3rd edition . University of Chicago Press , Chicago, IL .
  18. Harris , C. W . 1967 . On factors and factor scores . Psychometrika 32 , 363 379 .
  19. Hastenrath , S. and Wendland , W. M . 1979 . On the secular variation of storms in the tropical North Atlantic and Eastern Pacific . Tellus 31 , 28 38 .
  20. Hopke , P. K . 1982 . Discussion: Trace element concen-trations in summer aerosols in rural sites in New York State and their possible sources and seasonal variations in the composition of ambient sulfate-containing aerosols in the New York area . Atmos. Environ . 16 , 1379 .
  21. Horel , J. D . 1981 . A rotated principal component analysis of the interannual variability of the North-ern Hemisphere 500 mb height field . Mon. Wea. Rev . 109 , 2080 2092 .
  22. Horel , J. D . 1984 . Complex principal component analy-sis: Theory and examples . J. Clim. Appl. Meteorol . 23 , 1660 1673 .
  23. IMSL 1979 . International Mathematical and Statistical Laboratory, Edition 7, vol. 3, ch. O. IMSL Publ., Houston, TX.
  24. Kaiser , H. F . 1960 . The application of electronic com-puters to factor analysis . Educ. Psych. Measur . 20 , 141 151 .
  25. Kaiser , H. F . 1961 . A note on Guttman's lower bound for the number of common factors . Br. J. Stat. Psych. 14 , 1 2 .
  26. Kaiser , H. F . 1970 . A second-generation Little Jiffy . Psychometrika 35 , 401 415 .
  27. Kaiser , H. F. and Rice , J . 1974 . Little Jiffy, Mark IV . Educ. Psych. Measur . 34 , 111 117 .
  28. Kalkstein , L. S. and Corrigan , P . 1986 . A synoptic climatological approach for geographical analysis: assessment of sulfer dioxide concentrations . Ann. Assoc. Amer. Geogr . 76 , 381 395 .
  29. Kendall , M. G . 1980 . Multivariate analysis . Charles Griffin , High Wycomb .
  30. Knuth , D. E . 1981 . Semi-numerical algorithms , vol. 2 , Art of computer programming. Addison-Wesley , Reading MA .
  31. Ladd , J. W. and Driscoll , D. W . 1980 . A comparison of objective and subjective means of weather typing: an example from Western Texas . J. Appl. Meteorol . 19 , 691 704 .
  32. Lawley , D. N. and Maxwell , A. E . 1971 . Factor analysis as a statistical method , 2nd edition . Butterworth , London .
  33. LeDrew , E. F . 1980 . Eigenvector analysis of the vertical velocity fields over the eastern Canadian arctic . Mon. Wea. Rev . 108 , 1992 2005 .
  34. Lewis , T. G. and Payne , W. H . 1973 . Generalized feedback shift register pseudo-random number algo-rithm . J. Assoc. Comput. Mach . 20 , 456 468 .
  35. Linn , R. L . 1968 . A Monte Carlo approach to the number of factors problem . Psychometrika 33 , 37 71 .
  36. Mulaik , S. A . 1972 . The foundations of factor analysis . McGraw Hill , New York .
  37. North , G. R. , Bell , T. L. , Cahalan , R. F. and Moeng , F. J . 1982 . Sampling errors in the estimation of empirical orthogonal functions . Mon. Wea. Rev . 110 , 699 706 .
  38. Overland , J. E. and Preisendorfer , R. W . 1982 . A significance test for principal components applied to cyclone climatology . Mon. Wea. Rev . 110 , 1 4 .
  39. Pennel , R . 1972 . Routinely computable confidence in-tervals for factor loadings using the jackknife . Br. J. Math. Stat. Psychol . 25 , 107 114 .
  40. Preisendorfer , R. W. , Zwiers , F. W. and Barnett , T. P . 1981 . Foundations of principal component selection rules . SIO Reference Series 81-4 , Scripps Institution of Oceanography , La Jolla , CA .
  41. Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetterling , W. T . 1986 . Numerical recipes; the art of scientific computing . Cambridge Univ. Press, Cam-bridge , England .
  42. Richman , M. B . 1985 . The eigentechnique, pseudo-random distributions and the interpretation of spur-ious signal. 9th Conf on Prob. and Stars. in Atmos. Sciences, Virginia Beach, VA, Amer. Meteor. Soc., Boston, MA, 262 - 270 .
  43. Richman , M. B . 1986 . Rotation of principal components . J. Climatol . 6 , 293 335 .
  44. Richman , M. B. and Lamb , P. J . 1985 . Climatic pattern analysis of 3- and 7-day summer rainfall in the central United States: Some methodological consid-erations and a regionalization . J. Clint Appl. Meteorol . 24 , 1325 1343 .
  45. Richman , M. B. and Lamb , P. J . 1987 . Pattern analysis of growing season precipitation in southern Canada . Atmosphere-Ocean 25 , 137 158 .
  46. Rummel , R. J . 1970 . Applied factor analysis . Northwest-ern University Press, Evanston , IL .
  47. Salinger , M. J . 1980 . New Zealand climate: I. Precipitation patterns . Mon. Wea. Rev . 108 , 1892 1904 .
  48. SAS 1985 . SAS Institute Inc. User's Guide,' Statistics . SAS Institute Publ ., Cary , NC .
  49. SPSS 1979 . Statistical package for the social sciences , 3rd edition . McGraw-Hill Book Co. , New York, NY .
  50. Storch , H.V. , and Hannoschöck , G . 1985 . Statistical aspects of estimated principal vectors (E0Fs) based on small sample sizes. J. Clim. Appl . Meteorol. 24 , 716 724 .
  51. Thurston , G. D. and Spengler , J. D . 1985 . A multivariate assessment of meteorological influences on inhalable particle source impacts . J. Clim. Appl. Meteorol . 24 , 1245 1256 .
  52. Weickmann , K. M . 1983 . Intraseasonal circulation and outgoing radiation modes during Northern Hemisphere winter. Mon. Wea. Rev. , 111 1838 - 1858 .
  53. Wu , C. F. J . 1986 . Jackknife, bootstrap and other resampling methods in regression analysis . Ann. Stat. 14 , 1261 1350 .
  54. Zwick , W. P. and Velicer , W. F . 1982 . Factors influ-encing four rules for determining the number of components to retain . Multivar. Behav. Res . 17 . 253 269 .
Language: English
Page range: 50 - 58
Submitted on: Mar 31, 1987
Accepted on: Jul 8, 1987
Published on: Jan 1, 1988
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1988 Michael B. Richman, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.