Questions tagged [competing-risks]

In survival analysis when observation may be terminated or affected by a different event this is termed a competing risk.

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Cumulative Incidence Function given no event before time $t_d$

Suppose we have a simple competing risks model and have a calculated $CIF_K$ for two events $\{k_1, k_2\} \in K$. By definition $CIF_{k_1}(t_i)$ gives us the probability that event $k_1$ has occurred ...
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How to interpret a positive coefficient in a competing risks survival analysis?

I am trying to interpret the results of a competing risks survival analysis. I am interested in understanding the effect of the variable party on the risk of a ...
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How to interpret the coefficient on a covariate in a competing risks survival analysis model?

Consider the results of a competing risks survival analysis model published in a journal. The model examines the relationship between legislatures and coups. Legislature, the main explanatory variable,...
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Can mixed survival models using coxme() incorporate competing risks?

I am running a two-level survival models with hospital admission over a 1-year period as the outcome. Age, and sex are individual level and unique to each person's id, and area socioeconomic status (...
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Cumulative incidence under competing risks: cannot infer event free survival?

Suppose one had performed a competing risk analysis and the 10 year cumulative incidence for the event of interest is 60%. Am I correct in thinking that we CANNOT conclude that the event-free survival ...
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Simulate competing risks

I am trying to simulate competing risks data for a power analysis. Based on historical data, we know that after 12 months: 40% had experienced the event of interest 20% had experienced the competing ...
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simulating competing risks analysis

Please could you help me to figure out how to simulate competing risks survival data? I am aware that I can achieve this using survsim command but I would like to generate this from first principles. ...
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Definition of rare event in competing risk

I want to define rare event in competing risk. How many percent of the event must exist to be able to say that the event is rare? It can be said based on the EPV. But if the occurrence of the event is ...
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Proper Bivariate Joint Survival function

I have a joint survival function in the presence of 2 competing risks. $S(t_1, t_2) = \exp\{−λ_1t_1 − λ_2t_2 − νt_1t_2 − μ_1t_1^2 − μ_2t_2^2\} \ \ \ t_1,t_2\geq0$ For which parameter values is this a ...
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Defining states in Multi-State model

I am looking to build a multi state model some packages for instance in R are for panel or intermittently observed data (msm ...
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A survival model with multiple concomitant survival events

I would like to know if there is a statistical model to analyze my problem: I want to test if the location of the tumor is related to the level of a particular biomarker A patient may have multiple ...
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Competing Events - does they have a role when looking at cause-specific mortality?

I have a question on how to account theoretically for the risk of competing event in a specific setting. Suppose we have a cohort of patients at high risk of both infection-related mortality and non-...
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Can 'oversampling' techniques be used for survival analysis of competing risks?

I have a sample of cancer patients, of whom 41% died due to the cancer and only 9% died from competing events. So the number of deaths due competing events is fewer than the number of deaths due to ...
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Cumulative incidence for more than one event per patient

Looking at cumulative incidence of CMV and EBV infections at 12 months. I can compile a plot of cuminc based on first event to occur, but I have two patients who had BOTH CMV and EBV events during the ...
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hazards model of unemployment

I want to study how holding student debt after college graduation could affect the exit to unemployment and, more specifically, finding a job that requires less than college degree after college ...
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Subdistribution hazard ratios: incidence of different events

As I understand it, the subdistribution hazard model gives hazard ratios which tell you the direction of the effect of a covariate on the event occurrence, as defined in the paper below. If the SD ...
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Comparing Cumulative Incidence Curves

I have a dataset of about 1000 patients with cancer and I was interested at looking at competing events. I plotted out the cumulative incidence curves for deaths from cancer and deaths from other ...
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cmprsk cumulative incidence - comparing between two curve with different outomes

I have a question regarding the extracting p-values from the cumulative incidence curves that considered competing risks. I used cmprsk packages and ...
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Competing risks time-to-event analysis

E I have a time-to-event scenario where I want to look at Covid19 patients. I want to analyse how long it takes before they are extubated (taken off ventilator) in two different treatment groups. ...
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Net survival function $S_i(t) = \exp\left\{-\int_0^{t}\frac{dF_i(u)}{S_T(u)}du\right\}$, what is $dF_i$?

Suppose multiple risks can lead to failure and $X_1,\cdots X_n$ be the failure times for each risk (so-called "competing risk problem"). Define: The overall failure time: $T= \min(X_1,\cdots,...
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The relationship between cause-specific hazard function and joint survival function

Suppose multiple risks can lead to failure and $X_1,\cdots X_n$ be the failure times for each risk (so-called "competing risk problem"). Define: The overall failure time: $T= \min(X_1,\cdots,...
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How to compute the cumulative incidence function for a specific covariate in Cox regression model and Fine-Gray model?

I have generated results for Cox proportional hazards model, and Fine and Gray competing risk model, which gives me the hazard ratio and sub-distributional hazard ratio for each of the independent ...
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Comparison of C-index between Cox Proportional Hazards model and Fine-Gray model

I have run two models with the same covariates, one for cox proportional hazards model and another for Fine-Gray competing risk model. The C-index for the cox model is about 0.81 and that of the Fine-...
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Considering competing risk of death in R

I am doing a survival analysis where my event of interest is time to operation, so what I have coded my status variable is as below: Status 1 0 2, where 1 means operated, 0 means non-operated and 2 ...
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What is the difference between cuminc and crr? [duplicate]

In this slide (from A TUTORIAL ON ACCOUNTING FOR COMPETING RISKS IN SURVIVAL ANALYSIS), there are two ways of plotting the cumulative incidence in a competitive risk setting. What are the differences? ...
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How to calculate the sample size (minimal observations needed per event) to perform competing risks regression analysis?

I want to perform a competing risks regression analysis. There are 3 competing risks + censored data. I would like to know if there is a way to calculate the minimal observations I will need per event ...
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Conditional logistic regression: correct HR's with competing risks

In competing risk settings, the Cox model gives correct HR's if we censor at other event types (i.e. the Cause Specific Model): https://statisticalhorizons.com/for-causal-analysis-of-competing-risks/ ...
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Cox model vs. Fine-Gray: hazard ratios & predicted cumulative incidence under competing risks

I am unclear about deriving both hazard ratios and a predicted cumulative incidence curves under competing risks. After reading this interesting article: https://statisticalhorizons.com/for-causal-...
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Survival: treat censoring as a competing risk and use multinomial logit

Suppose I am modeling survival with the hazard rate specified using logistic regression, and the model is adequate for the data. Now add censoring, and the model formulation becomes a bit more ...
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How to address analysis of days alive out of hospital in the presence of a competing outcome?

I wish to model days alive and out of hospital (DAOH) in patients with heart failure. The goal of the research is to create an observed/expected ratio of DAOH measured one year after the index event ...
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Competing Risk Analysis - Account for the "ceiling" effect and how to interpret results

I am approaching competing risk analysis and I have several questions regarding how to account for what I call the "ceiling" effect and how to interpret the results. I'll try to be ...
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Is cuminc the only way to estimate the cumulative incidence function for an event of interest in the presence of competing risk events?

The cuminc() function in R from the package cmprsk (https://cran.r-project.org/web/packages/cmprsk/cmprsk.pdf) allows us to get ...
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Zero time spent in initial state in multi-state model?

I'm modelling an illness-death multi-state model (see image, taken from the {survival} vignette, https://cran.r-project.org/web/packages/survival/vignettes/compete.pdf), and have a basic question: in ...
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Subdistribution/cause-specific survival functions

How is the subdistribution survival function, associated with the subdistribution hazard function, interpreted? Is it just the probability of failing from the specific cause after the current time? I ...
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Choosing an appropriate model for survival analysis with recurrent events and competing risks

I’m having some difficulties in selecting the appropriate model(s) for analyzing survival data which includes recurrent events and (potentially) competing risks. There is no particular ‘terminal’ ...
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How to combine Cause Specific Hazard model

Lets say I need to model the survival probability for death from heart disease (noted $H$). There is a competing risk in the study which is non-heart disease (noted $NH$). $H$ and $NH$ are competing ...
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how to deal with competing risk of death in the cox regression

I have a data which is set up for cox regression, I have the variable as below: Tstart, Tstop, status event, cancer, family id, The ...
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Competing risk of death

I have a longitudinal data including 4 follow-ups and the individuals are old. My event of interest is if happening of ability fall and I am also looking for competing risk of death. But the problem ...
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How to do competing risks regression after IPW?

There are 4 types of treatment in my data. To balance the covariables of different treatment groups, I have used twang::mnps function to perform inverse probability weighting and successfully got the ...
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Adjusting for drop-outs in survival analysis when all dropouts have time = 0 and event = 0

I have data where participants were assessed at two timepoints ; baseline and follow up. At baseline, participants were categorised based on presence of a marker (yes = 1, no = 0). At follow-up, ...
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Inverse probability weighting for right censored data in cox regression

I have data from a prospective study with two measurements per participant (baseline and follow-up). I am interested in whether a cut-off (binary) obtained at baseline predicts disease development at ...
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Comparing multiple cumulative incidence functions in the presence of competing risks

I have a survival/duration dataset with competing risks. The start years for the durations vary and range from 2010 to 2019. Each individual may only start once, e.g. during 2010, and therefore cannot ...
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Different Discharge Dispositions in a Competing Risk Model

I am building a data set on which to estimate, via regression, the impact of covariates on the cause-specific and subdistribution hazards for time to discharge from a hospital. The main competing ...
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Competing Risks without Censoring

I am trying to estimate the probability that an entity goes from state $A$ to either state $B$, $C$, or $D$. The probability should be dependent on how long the entity has been in state $A$. My data ...
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Competing risks cumulative incidence - same results with or without competing risks

I recently got involved in a study on survival of teeth where the time until extraction was measured. The reason for extraction could be either an infection or some other cause. These other causes ...
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Developing a flexible estimation strategy for longitudinal data with heavy clustering, covariates with missings and interval censoring

This is a general question for R users that are familar with interval censoring in survival analyses. I have clinical registry data at hand and aim to compare the one-year incidence for two groups (...
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Cumulative Incidence function and competing risks

Let $R_1,...,R_K$ be competing risks and put $T=\min(R_1,...,R_K)$ and $\delta = i$ if $T=R_i$. The cumulative incidence function is then defined as $F_i(t):=P(T\le t,\delta = i)$. The cause-specific ...
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Survival models with competing risks - what alternatives to the cause-specific Cox models and Fine-Gray proportionate subdistribution hazards?

I am working on a project involving survival analysis with various death causes. Specifically, there are 3 death causes and the question is if people with a particular medical history are more likely ...
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Extracting transition-specific estimates from a parametric multi-state survival model

I fit a multi-state survival model following Weibull distribution using function flexsurvreg. This data is about the depression trajectory of people with mild ...
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Cumulative Incidence Function - How to extract the cumulative incidence, n(%) with 95% CI?

I would like to replicate the above study in R on my own data, but I am not sure how to do it. How to extract the cumulative incidence, n(%) with 95% CI? I suppose the cumulative incidence is at the ...
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