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Related Concept Videos

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...
Introduction to Test of Independence01:21

Introduction to Test of Independence

In statistics, the term independence means that one can directly obtain the probability of any event involving both variables by multiplying their individual probabilities. Tests of independence are chi-square tests involving the use of a contingency table of observed (data) values.
The test statistic for a test of independence is similar to that of a goodness-of-fit test:
Friedman Two-way Analysis of Variance by Ranks01:21

Friedman Two-way Analysis of Variance by Ranks

Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures from...
Relative Risk01:12

Relative Risk

Relative risk (RR) is a statistical measure commonly used in epidemiology to compare the likelihood of a particular event occurring between two groups. This metric is important for evaluating the relationship between exposure to a specific risk factor and the probability of a particular outcome. It plays a crucial role in medical research, public health studies, and risk assessment. Relative risk quantifies how much more (or less) likely an event is to occur in an exposed group compared to an...
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.
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.
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Related Experiment Video

Updated: Jul 4, 2026

An R-Based Landscape Validation of a Competing Risk Model
05:37

An R-Based Landscape Validation of a Competing Risk Model

Published on: September 16, 2022

Nonparametric association analysis of exchangeable clustered competing risks data.

Yu Cheng1, Jason P Fine, Michael R Kosorok

  • 1Department of Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA. yucheng@pitt.edu

Biometrics
|June 14, 2008
PubMed
Summary

This study addresses dementia onset clustering in families, developing new statistical methods for analyzing sibling data. The findings reveal age-dependent associations in dementia risk within sibships, crucial for understanding familial aggregation.

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Last Updated: Jul 4, 2026

An R-Based Landscape Validation of a Competing Risk Model
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Published on: September 16, 2022

Establishing a Competing Risk Regression Nomogram Model for Survival Data
04:57

Establishing a Competing Risk Regression Nomogram Model for Survival Data

Published on: October 23, 2020

Area of Science:

  • Epidemiology
  • Biostatistics
  • Gerontology

Background:

  • Population-based studies like the Cache County Study of Aging investigate familial aggregation of dementia.
  • Standard statistical methods may be inadequate for analyzing dementia onset in the presence of competing risks, such as death without dementia.
  • Independent censoring assumptions are often violated in familial studies.

Purpose of the Study:

  • To develop and validate novel nonparametric statistical methods for analyzing clustered, multivariate competing risks data.
  • To adapt existing estimators for bivariate cumulative hazard and incidence functions to handle exchangeable clustered data.
  • To evaluate time-dependent association measures for dementia onset within sibships.

Main Methods:

  • Adaptation of nonparametric estimators for bivariate cumulative functions to exchangeable clustered data.
  • Application of empirical process techniques for rigorous large sample inference.
  • Development of methods to address multivariate competing risks and potential violation of independent censoring.

Main Results:

  • The developed methodology effectively analyzes sibship associations in dementia onset.
  • Time-dependent association measures reveal significant age-related patterns in dementia clustering.
  • Simulations and application to the Cache County Study demonstrate practical utility.

Conclusions:

  • The new statistical approach appropriately handles complex data structures in aging and dementia research.
  • Dementia onset clustering among siblings is strongly influenced by age.
  • The methods provide valuable tools for understanding familial aggregation of age-related diseases.