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Sample size calculation for studies with grouped survival data.

Publication ,  Journal Article
Li, Z; Wang, X; Wu, Y; Owzar, K
Published in: Stat Med
November 30, 2018

Grouped survival data arise often in studies where the disease status is assessed at regular visits to clinic. The time to the event of interest can only be determined to be between two adjacent visits or is right censored at one visit. In data analysis, replacing the survival time with the endpoint or midpoint of the grouping interval leads to biased estimators of the effect size in group comparisons. Prentice and Gloeckler developed a maximum likelihood estimator for the proportional hazards model with grouped survival data and the method has been widely applied. Previous work on sample size calculation for designing studies with grouped data is based on either the exponential distribution assumption or the approximation of variance under the alternative with variance under the null. Motivated by studies in HIV trials, cancer trials and in vitro experiments to study drug toxicity, we develop a sample size formula for studies with grouped survival endpoints that use the method of Prentice and Gloeckler for comparing two arms under the proportional hazards assumption. We do not impose any distributional assumptions, nor do we use any approximation of variance of the test statistic. The sample size formula only requires estimates of the hazard ratio and survival probabilities of the event time of interest and the censoring time at the endpoints of the grouping intervals for one of the two arms. The formula is shown to perform well in a simulation study and its application is illustrated in the three motivating examples.

Duke Scholars

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Published In

Stat Med

DOI

EISSN

1097-0258

Publication Date

November 30, 2018

Volume

37

Issue

27

Start / End Page

3904 / 3917

Location

England

Related Subject Headings

  • Survival Analysis
  • Statistics as Topic
  • Statistics & Probability
  • Sample Size
  • Proportional Hazards Models
  • Models, Statistical
  • Likelihood Functions
  • Humans
  • Data Interpretation, Statistical
  • 4905 Statistics
 

Citation

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Li, Z., Wang, X., Wu, Y., & Owzar, K. (2018). Sample size calculation for studies with grouped survival data. Stat Med, 37(27), 3904–3917. https://doi.org/10.1002/sim.7847
Li, Zhiguo, Xiaofei Wang, Yuan Wu, and Kouros Owzar. “Sample size calculation for studies with grouped survival data.Stat Med 37, no. 27 (November 30, 2018): 3904–17. https://doi.org/10.1002/sim.7847.
Li Z, Wang X, Wu Y, Owzar K. Sample size calculation for studies with grouped survival data. Stat Med. 2018 Nov 30;37(27):3904–17.
Li, Zhiguo, et al. “Sample size calculation for studies with grouped survival data.Stat Med, vol. 37, no. 27, Nov. 2018, pp. 3904–17. Pubmed, doi:10.1002/sim.7847.
Li Z, Wang X, Wu Y, Owzar K. Sample size calculation for studies with grouped survival data. Stat Med. 2018 Nov 30;37(27):3904–3917.

Published In

Stat Med

DOI

EISSN

1097-0258

Publication Date

November 30, 2018

Volume

37

Issue

27

Start / End Page

3904 / 3917

Location

England

Related Subject Headings

  • Survival Analysis
  • Statistics as Topic
  • Statistics & Probability
  • Sample Size
  • Proportional Hazards Models
  • Models, Statistical
  • Likelihood Functions
  • Humans
  • Data Interpretation, Statistical
  • 4905 Statistics