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Smoothing spline-based score tests for proportional hazards models.

Publication ,  Journal Article
Lin, J; Zhang, D; Davidian, M
Published in: Biometrics
September 2006

We propose "score-type" tests for the proportional hazards assumption and for covariate effects in the Cox model using the natural smoothing spline representation of the corresponding nonparametric functions of time or covariate. The tests are based on the penalized partial likelihood and are derived by viewing the inverse of the smoothing parameter as a variance component and testing an equivalent null hypothesis that the variance component is zero. We show that the tests have a size close to the nominal level and good power against general alternatives, and we apply them to data from a cancer clinical trial.

Duke Scholars

Published In

Biometrics

DOI

ISSN

0006-341X

Publication Date

September 2006

Volume

62

Issue

3

Start / End Page

803 / 812

Location

England

Related Subject Headings

  • Statistics & Probability
  • Receptors, Estrogen
  • Proportional Hazards Models
  • Menopause
  • Likelihood Functions
  • Humans
  • Female
  • Clinical Trials as Topic
  • Breast Neoplasms
  • Biometry
 

Citation

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ICMJE
MLA
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Lin, J., Zhang, D., & Davidian, M. (2006). Smoothing spline-based score tests for proportional hazards models. Biometrics, 62(3), 803–812. https://doi.org/10.1111/j.1541-0420.2005.00521.x
Lin, Jiang, Daowen Zhang, and Marie Davidian. “Smoothing spline-based score tests for proportional hazards models.Biometrics 62, no. 3 (September 2006): 803–12. https://doi.org/10.1111/j.1541-0420.2005.00521.x.
Lin J, Zhang D, Davidian M. Smoothing spline-based score tests for proportional hazards models. Biometrics. 2006 Sep;62(3):803–12.
Lin, Jiang, et al. “Smoothing spline-based score tests for proportional hazards models.Biometrics, vol. 62, no. 3, Sept. 2006, pp. 803–12. Pubmed, doi:10.1111/j.1541-0420.2005.00521.x.
Lin J, Zhang D, Davidian M. Smoothing spline-based score tests for proportional hazards models. Biometrics. 2006 Sep;62(3):803–812.
Journal cover image

Published In

Biometrics

DOI

ISSN

0006-341X

Publication Date

September 2006

Volume

62

Issue

3

Start / End Page

803 / 812

Location

England

Related Subject Headings

  • Statistics & Probability
  • Receptors, Estrogen
  • Proportional Hazards Models
  • Menopause
  • Likelihood Functions
  • Humans
  • Female
  • Clinical Trials as Topic
  • Breast Neoplasms
  • Biometry