MULTIPLE COMPARISONS OF SURVIVAL TIMES.

Abstract

Let P sub t be the probability of a patient surviving from a suitably selected time O to time t under a particular treatment and P asterisk sub t under an alternative treatment. In a previous paper we have studied the problem of simultaneously estimating the difference P sub t - P asterisk sub t for t = 1,2,...,T from observations collected in clinical follow-up where some patients may be lost to observations before T. Assuming a Markov chain model, we have obtained confidence intervals such that as the number of patients is indifinitely increased, their joint confidence coefficient has a prescribed lower bound in the limit. In this paper we show how these intervals can be shortened, by generalizing a result of Goodman about contrasts of transition probabilities of a Markov chain. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 28, 1968
Accession Number
AD0675595

Entities

People

  • Agnes Berger
  • Ruth Z. Gold

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Contrast
  • Intervals
  • Markov Chains
  • Markov Processes
  • Mathematics
  • Observation
  • Probability
  • Random Variables
  • Stochastic Processes
  • Survival
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Neurotrauma and Rehabilitation Medicine.
  • Statistical inference.