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Rank-based regression with repeated measurements data

Publication ,  Journal Article
Jung, SH; Ying, Z
Published in: Biometrika
September 1, 2003

A rank-based regression method is proposed for repeated measurements data. It is a generalisation of the classical Wilcoxon-Mann-Whitney rank statistic for independent observations. The method is valid under a weak condition on the error terms that can accommodate certain hetero-scedasticity and within-subject dependency. The asymptotic normality of the proposed estimator is proved using empirical process theory. A variance estimator, shown to be consistent, is also constructed. The proposed method is illustrated using data from a clinical trial on treating labour pain. Robustness and efficiency of the estimator is demonstrated in simulation studies.

Duke Scholars

Published In

Biometrika

DOI

ISSN

0006-3444

Publication Date

September 1, 2003

Volume

90

Issue

3

Start / End Page

732 / 740

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
 

Citation

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Jung, S. H., & Ying, Z. (2003). Rank-based regression with repeated measurements data. Biometrika, 90(3), 732–740. https://doi.org/10.1093/biomet/90.3.732
Jung, S. H., and Z. Ying. “Rank-based regression with repeated measurements data.” Biometrika 90, no. 3 (September 1, 2003): 732–40. https://doi.org/10.1093/biomet/90.3.732.
Jung SH, Ying Z. Rank-based regression with repeated measurements data. Biometrika. 2003 Sep 1;90(3):732–40.
Jung, S. H., and Z. Ying. “Rank-based regression with repeated measurements data.” Biometrika, vol. 90, no. 3, Sept. 2003, pp. 732–40. Scopus, doi:10.1093/biomet/90.3.732.
Jung SH, Ying Z. Rank-based regression with repeated measurements data. Biometrika. 2003 Sep 1;90(3):732–740.
Journal cover image

Published In

Biometrika

DOI

ISSN

0006-3444

Publication Date

September 1, 2003

Volume

90

Issue

3

Start / End Page

732 / 740

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics