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A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
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A causal model for longitudinal randomised trials with time-dependent non-compliance.

Taeko Becque1, Ian R White, Mark Haggard

  • 1York Trials Unit, Department of Health Sciences, University of York, York, YO10 5DD, U.K.

Statistics in Medicine
|March 18, 2015
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Summary

This study introduces a new causal model for analyzing treatment efficacy with non-compliance over time. Surgery showed benefits for childhood ear disease at 6 months, though effects diminished by 12 months.

Keywords:
complier average causal effectintention to treatlongitudinal modelnon-compliance

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Area of Science:

  • Biostatistics
  • Epidemiology
  • Clinical Trials

Background:

  • Intention-to-treat analysis offers unbiased comparisons but can underestimate treatment efficacy with non-compliance.
  • Complier-average causal effect (CACE) models efficacy based on adherence, assuming all-or-nothing compliance.
  • Longitudinal data with time-dependent non-compliance requires advanced causal modeling approaches.

Purpose of the Study:

  • To extend the CACE approach for modeling longitudinal data with time-dependent non-compliance.
  • To develop a causal model accommodating treatment crossover in randomized controlled trials.
  • To evaluate the efficacy of surgical intervention for childhood ear disease using this novel causal framework.

Main Methods:

  • Developed a causal model for multivariate outcomes conditional on compliance type and randomized arm.
  • Defined compliance type based on the timing of surgical intervention in the control group.
  • Employed Markov chain Monte Carlo (MCMC) methods to estimate CACE over time.

Main Results:

  • Over 50% of participants randomized to the control group eventually received surgical intervention.
  • Surgical intervention demonstrated a statistically significant benefit compared to control at 6 months post-intervention.
  • A small, non-significant beneficial effect of surgery was observed at 12 months.

Conclusions:

  • The extended CACE model effectively handles time-dependent non-compliance in longitudinal studies.
  • Surgical intervention is beneficial for childhood ear disease in the short term (6 months).
  • Long-term benefits of surgical intervention require further investigation due to diminishing effects by 12 months.