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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...
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Related Experiment Video

Updated: Jun 12, 2026

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

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Published on: September 16, 2022

Multiple testing on standardized mortality ratios: a Bayesian hierarchical model for FDR estimation.

Massimo Ventrucci1, E Marian Scott, Daniela Cocchi

  • 1Department of Statistics, Glasgow University, Glasgow G12 8QQ, UK. mventrucci@stats.gla.ac.uk

Biostatistics (Oxford, England)
|June 26, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a Bayesian approach to improve the detection of environmental risk factors using standardized mortality ratios (SMRs). The method enhances sensitivity in small areas, outperforming traditional p-value methods for false discovery rate (FDR) control.

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Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
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Published on: July 3, 2020

Area of Science:

  • Epidemiology
  • Biostatistics
  • Spatial Analysis

Background:

  • Descriptive epidemiology uses standardized mortality ratios (SMRs) to detect environmental risk factors.
  • Small areas with low expected counts and spatially correlated risks pose challenges for traditional methods.
  • Poisson p-value-based false discovery rate (FDR) control methods may lack sensitivity in small areas.

Purpose of the Study:

  • To propose a Bayesian approach for evaluating the null hypothesis of no risk in SMRs.
  • To control the posterior false discovery rate (FDR) for improved risk detection.
  • To enhance sensitivity in identifying risks in small geographical areas.

Main Methods:

  • A Bayesian hierarchical model incorporating spatial random effects was implemented.
  • The model allows for extra-Poisson variability.
  • Posterior probabilities of no risk were estimated to compute the posterior FDR.

Main Results:

  • The proposed Bayesian method provides an estimate of the posterior FDR.
  • This estimate enables non-arbitrary FDR-based selection rules for high-risk areas.
  • Simulations demonstrated improved sensitivity and specificity compared to p-value-based rules.

Conclusions:

  • The Bayesian approach offers a more sensitive method for detecting environmental risk factors in small areas.
  • It provides a robust framework for controlling the posterior FDR.
  • The method was validated through simulation and real-data analysis.