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Psychometrika

, Volume 46, Issue 1, pp 35–40 | Cite as

A jackknife test of homogeneity of variance with paired replicates data

  • Stuart M. Rothstein
  • William D. Bell
  • Jayne A. Patrick
  • Harry Miller
Article

Abstract

A nonparametric test of dispersion with paired replicates data is described which involves jackknifing logarithmic transformations of the ratio of variance estimates for the pre- and post-treatment populations. Results from a Monte Carlo simulation show that the test performs well underHo and has good power properties. Examples are given of applying the procedure on psychiatric data.

Key words

jackknife test for paired replicates treatment effect 

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Reference note

  1. Bell, W. D., Rothstein, S. M., & Li, W.-K. An empirical study of some nonparametric tests for dispersion of correlated data. Manuscript submitted for publication, 1980.Google Scholar

References

  1. Arvesen, J. N. JackknifingU-Statistics.Annals of Mathematical Statistics, 1969,40, 2076–2100.Google Scholar
  2. Arvesen, J. N., & Schmitz, T. H. Robust procedures for variance component problems using the jackknife.Biometrics, 1970,26, 677–686.Google Scholar
  3. Hamilton, M. A rating scale for depression.The Journal of Neurology, Neurosurgery and Psychiatry, 1969,23, 56–62.Google Scholar
  4. Hollander, M., & Wolfe, D. A.Nonparametric statistical methods. New York: Wiley, 1973.Google Scholar
  5. Johnson, N. J. Modifiedt tests and confidence intervals for asymmetrical populations.Journal of the American Statistical Association, 1978,73, 536–544.Google Scholar
  6. Layard, M. W. Large sample tests for the equality of two covariance matrices.Annals of Mathematical Statistics, 1972,43, 123–141.Google Scholar
  7. Miller, R. G. Jackknifing variances.Annals of Mathematical Statistics, 1968,39, 567–582.Google Scholar
  8. Miller, R. G. The jackknife—a review.Biometrika, 1974,61, 1–15.Google Scholar
  9. Pitman, E. J. G. A note on normal correlation.Biometrika. 1939,31, 9–12.Google Scholar

Copyright information

© The Psychometric Society 1981

Authors and Affiliations

  • Stuart M. Rothstein
    • 1
  • William D. Bell
    • 1
  • Jayne A. Patrick
    • 2
  • Harry Miller
    • 2
  1. 1.Department of ChemistryBrock UniversitySt. CatharinesCanada
  2. 2.Hamilton Psychiatric HospitalCanada

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