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Related Concept Videos

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.
The Mantel-Cox Log-Rank Test01:19

The Mantel-Cox Log-Rank Test

The Mantel-Cox log-rank test is a widely used statistical method for comparing the survival distributions of two groups. It tests whether a statistically significant difference exists in survival times between the groups without assuming a specific distribution for the survival data, making it a non-parametric test. This flexibility makes the log-rank test particularly valuable in medical research and other fields where the timing of an event, such as death or disease recurrence, is of interest.
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...
Introduction To Survival Analysis01:18

Introduction To Survival Analysis

Survival analysis is a statistical method used to study time-to-event data, where the "event" might represent outcomes like death, disease relapse, system failure, or recovery. A unique feature of survival data is censoring, which occurs when the event of interest has not been observed for some individuals during the study period. This requires specialized techniques to handle incomplete data effectively.
The primary goal of survival analysis is to estimate survival time—the time until a...
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...
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...

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Related Experiment Video

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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

A risk-adjusted CUSUM in continuous time based on the Cox model.

Pinaki Biswas1, John D Kalbfleisch

  • 1Global Medical Research and Development, Pfizer Inc., New York, NY 10017, USA. pinaki.biswas@pfizer.com

Statistics in Medicine
|February 22, 2008
PubMed
Summary

This study introduces a novel risk-adjusted cumulative summation (CUSUM) method for monitoring organ transplant facility outcomes. The new CUSUM procedure helps detect upward trends in failure rates, improving patient safety and care quality.

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

  • Biostatistics
  • Medical Informatics
  • Public Health

Background:

  • Monitoring healthcare facility outcomes is crucial for patient safety and quality improvement.
  • The cumulative summation (CUSUM) technique is a proven sequential monitoring tool in manufacturing and process control.
  • CUSUM has recently been proposed for medical applications, including monitoring clinical outcomes.

Purpose of the Study:

  • To introduce a risk-adjusted cumulative summation (CUSUM) procedure for monitoring failure time outcomes in clinical practice.
  • To adapt the CUSUM technique for assessing organ transplant facility performance.
  • To evaluate the performance of the proposed risk-adjusted CUSUM scheme.

Main Methods:

  • Development of a risk-adjusted CUSUM procedure utilizing the Cox proportional hazards model for failure time data.
  • Derivation of theoretical approximations for the average run length (ARL) of the proposed CUSUM scheme.
  • Evaluation of the proposed CUSUM procedure and approximations through simulation studies.

Main Results:

  • The proposed risk-adjusted CUSUM procedure effectively monitors failure time outcomes in a risk-adjusted manner.
  • Theoretical approximations for average run length provide insights into the performance of the CUSUM scheme.
  • Simulations demonstrate the utility and accuracy of the proposed method.

Conclusions:

  • The risk-adjusted CUSUM procedure offers a valuable tool for monitoring organ transplant facility performance.
  • This method enables early detection of adverse trends in failure rates, facilitating timely interventions.
  • The proposed approach enhances the application of CUSUM techniques in medical outcome monitoring.