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Related Concept Videos

Censoring Survival Data01:09

Censoring Survival Data

Survival analysis is a statistical method used to analyze time-to-event data, often employed in fields such as medicine, engineering, and social sciences. One of the key challenges in survival analysis is dealing with incomplete data, a phenomenon known as "censoring." Censoring occurs when the event of interest (such as death, relapse, or system failure) has not occurred for some individuals by the end of the study period or is otherwise unobservable, and it might have many different reasons...
Hazard Rate01:11

Hazard Rate

The hazard rate, also known as the hazard function or failure rate, is a statistical measure used to describe the instantaneous rate at which an event occurs, given that the event has not yet happened. From a probabilistic perspective, it represents the likelihood that a subject will experience the event in a very small time interval, conditional on surviving up to the beginning of that interval. In terms of frequency, the hazard rate can be viewed as the ratio of the number of events to the...
Hazard Ratio01:12

Hazard Ratio

The hazard ratio (HR) is a widely used measure in clinical trials to compare the risk of events, such as death or disease recurrence, between two groups over time. It reflects the ratio of hazard rates—the instantaneous risk of the event occurring—between a treatment group and a control group. This measure provides valuable insights into the relative effectiveness of a treatment by assessing how the risk of an event differs between the two groups.
For example, in a clinical trial evaluating a...
Comparing the Survival Analysis of Two or More Groups01:20

Comparing the Survival Analysis of Two or More Groups

Survival analysis is a cornerstone of medical research, used to evaluate the time until an event of interest occurs, such as death, disease recurrence, or recovery. Unlike standard statistical methods, survival analysis is particularly adept at handling censored data—instances where the event has not occurred for some participants by the end of the study or remains unobserved. To address these unique challenges, specialized techniques like the Kaplan-Meier estimator, log-rank test, and Cox...
Strategies for Assessing and Addressing Confounding01:25

Strategies for Assessing and Addressing Confounding

Confounding is a critical issue in epidemiological studies, often leading to misleading conclusions about associations between exposures and outcomes. It occurs when the relationship between the exposure and the outcome is mixed with the effects of other factors that influence the outcome. Given that, addressing confounding is of high importance for drawing accurate inferences in research.
Confounding can be addressed at both the design phase of a study and through analytical methods after data...
Assumptions of Survival Analysis01:15

Assumptions of Survival Analysis

Survival models analyze the time until one or more events occur, such as death in biological organisms or failure in mechanical systems. These models are widely used across fields like medicine, biology, engineering, and public health to study time-to-event phenomena. To ensure accurate results, survival analysis relies on key assumptions and careful study design.

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Establishing a Competing Risk Regression Nomogram Model for Survival Data
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Establishing a Competing Risk Regression Nomogram Model for Survival Data

Published on: October 23, 2020

Beyond the Hazard Ratio: Causal Inference from Time-to-Event Data with Dependent Censoring, Confounding, and

Takuya Kawahara1, Sho Komukai2, Kosuke Inoue3

  • 1Clinical Research Promotion Center, The University of Tokyo Hospital.

Journal of Epidemiology
|May 6, 2026
PubMed
Summary
This summary is machine-generated.

Causal survival analysis methods are essential for drawing robust conclusions from time-to-event data in epidemiological research. This study highlights advanced techniques beyond standard hazard ratios to address confounding, censoring, and competing risks for accurate causal inference.

Keywords:
censoringcompeting riskconfoundinginverse probability weightingparametric g-formula

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Last Updated: May 8, 2026

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Published on: January 8, 2020

Area of Science:

  • Epidemiological research
  • Biostatistics
  • Causal inference

Background:

  • Time-to-event outcomes are central to epidemiological research.
  • Standard survival analysis methods, like hazard ratios, have limitations for causal inference.
  • Confounding, dependent censoring, and competing risks are common challenges in observational studies.

Purpose of the Study:

  • To review the necessity and limitations of survival analysis methods.
  • To explain advanced techniques for addressing confounding, dependent censoring, and competing risks.
  • To emphasize the importance of causal estimands for interpretable results.

Main Methods:

  • Review of survival analysis techniques.
  • Explanation of inverse probability weighting and parametric g-formula estimators.
  • Discussion of recent developments in defining causal estimands with competing risks.
  • Empirical comparison of various estimands through simulations.

Main Results:

  • Hazard ratios are insufficient for causal inference.
  • Inverse probability weighting and g-formula estimators can address confounding and dependent censoring.
  • New methods for defining causal estimands in the presence of competing risks are summarized.
  • Counterfactual risks and survival functions are interpretable causal parameters.

Conclusions:

  • Move beyond routine survival analysis methods for causal inference.
  • Causal survival analysis provides interpretable parameters crucial for investigators.
  • Advanced methods are necessary to accurately estimate causal effects from time-to-event data.