# Questions tagged [cox-model]

Cox proportional hazards regression is a semi-parametric method for survival analysis. No distributional form needs to be assumed, only that the effect of one-unit increase in a covariate is a constant multiple.

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### Prediction in Cox regression

I am doing a multivariate Cox regression, I have my significant independent variables and beta values. The model fits to my data very well. Now, I would like to use my model and predict the survival ...
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### Does Cox Regression have an underlying Poisson distribution?

Our small team was having a discussion and got stuck. Does anyone know whether Cox regression has an underlying Poisson distribution. We had a debate that maybe Cox regression with constant time at ...
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### In survival analysis, why do we use semi-parametric models (Cox proportional hazards) instead of fully parametric models?

I've been studying the Cox Proportional Hazards model, and this question is glossed over in most texts. Cox proposed fitting the coefficients of the Hazard function using a partial likelihood ...
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### How to interpret the output of predict.coxph?

After fitting a coxmodel it is possible to make predictions and retrieve the relative risk of new data. What I don't understand is how the relative risk is computed for an individual and what is it ...
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### How do survival models "account for censoring"? (Do they?)

Background I'm teaching an intro stats class in our social / health sciences department and I'm finding myself tripped up on something I'd always taken for granted: namely, the claim that survival ...
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### How to get predictions in terms of survival time from a Cox PH model?

I want to develop a prediction model (Cox PH) for all-cause mortality in a dataset of participants of whom (almost) all have died at the end of follow-up (e.g. 1-year). Instead of predicting the ...
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### Cox baseline hazard

Let's say I have a "kidney catheter" data set. I'm trying to model a survival curve using a Cox model. If I consider a Cox model: $$h(t,Z) = h_0 \exp(b'Z),$$ I need the estimate of the baseline hazard....
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### What is the "$R^2$" value given in the summary of a coxph model in R

What is the $R^2$ value given in the summary of a coxph model in R? For example, Rsquare= 0.186 (max possible= 0.991 ) I foolishly included it a manuscript as ...
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### Time dependent coefficients in R - how to do it?

Update: Sorry for another update but I've found some possible solutions with fractional polynomials and the competing risk-package that I need some help with. The problem I can't find an easy way to ...
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### Why are p-values often higher in a Cox proportional hazard model than in logistic regression?

I've been learning about the Cox proportional hazard model. I have a lot of experience fitting logistic regression models, and so to build intuition I've been comparing models fit using ...
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### How can machine learning models (GBM, NN etc.) be used for survival analysis?

I know that traditional statistical models like Cox Proportional Hazards regression & some Kaplan-Meier models can be used to predict days till next occurrence of an event say failure etc. i.e ...
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### Layman's explanation of censoring in survival analysis

I have read about what censoring is and how it needs to be accounted for in survival analysis but I would like to hear a less mathematical definition of it and a more intuitive definition (pictures ...
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### How to estimate baseline hazard function in Cox Model with R

I need to estimate baseline hazard function $\lambda_0(t)$ in a time dependent Cox model $\lambda(t) = \lambda_0(t) \exp(Z(t)'\beta)$ While I took Survival course, I remember that the direct ...
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### Cox model vs logistic regression

Let's say we are given the following problem: Predict which clients are most likely to stop buying in our shop in next 3 months. For each client we know the month when one started to buy in our ...
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### What is the difference between the different types of residuals in survival analysis (Cox regression)?

I am fairly new to survival analysis. I was advised to look up and learn Schoenfeld residuals as part of a model diagnosis to see if the proportional hazard assumption has been satisfied. Whilst ...
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### How to report hazard ratios from a Cox proportional hazards model in English?

My understanding is that a hazard ratio from a Cox proportional hazards model compares the effect on the hazard rate of a given factor to a reference group. How would you report that to an audience ...
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### Interpretation and validation of a Cox proportional hazards regression model using R in plain English

Can someone explain my Cox model to me in plain English? I fitted the following Cox regression model to all of my data using the cph function. My data are saved ...
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### How to generate predicted survivor curves from frailty models (using R coxph)?

I want to compute predicted survivor function for a Cox proportional hazards model with frailty terms [using survival package]. It appears that when frailty terms are in the model, the predicted ...
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### How to create a toy survival (time to event) data with right censoring

I wish to create a toy survival (time to event) data which is right censored and follows some distribution with proportional hazards and constant baseline hazard. I created the data as follows, but I ...
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### Kaplan-Meier curves seem to say otherwise than the Cox regression

In R, I am doing survival data analysis of cancer patients. I have been reading very helpful stuff about survival analysis in CrossValidated and other places and think I understood how to interpret ...
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### What are the options in proportional hazard regression model when Schoenfeld residuals are not good?

I am doing a Cox proportional hazards regression in R using coxph, which includes many variables. The Martingale residuals look great, and the Schoenfeld residuals ...
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### Cubic splines in Cox model

I have a question about the cubic splines used in the Cox model to test the linearity for the continuous variables. I read that usually the knots chosen are the quantiles. Can you find different ...
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### Is there any functional difference between an odds ratio and hazard ratio?

In logistic regression, an odds ratio of 2 means that the event is 2 time more probable given a one-unit increase in the predictor. In Cox regression, a hazard ratio of 2 means the event will occur ...
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### Does fitting Cox-model with strata and strata-covariate interaction differ from fitting two Cox models?

In Regression Modeling Strategies by Harrell (second edition) there is a section (S. 20.1.7) discussing Cox models including an interaction between a covariate whose main effect on survival we want to ...
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### Understanding coxph output in R

I am attempting to fit a Cox proportional hazard model to my data. I think I have the formula correct but am having trouble understanding the output. I have tried looked through the documentation ...
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### proportional hazards model with fixed interval censoring = cloglog GLM with fixed effect of time?

Consider a survival analysis with time-constant coefficients, interval-censored, where the observation intervals are consistent across all individuals (e.g. each individual is observed at the end of ...
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### How to calculate predicted hazard rates from a Cox PH model?

I have the following Cox PH model: (Time, Event) ~ X + Y + Z I would like to get the predicted hazard rates (i am talking about hazard rates NOT hazard ratios) given specific values of ...
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### Interval censored Cox proportional hazards model in R

Given interval censored survival times, how do I perform an interval censored Cox PH model in R? An rseek search turns up the package ...
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### Schoenfeld residuals

In a Cox proportional hazards model with many variables, if the Schoenfeld residuals are not flat for one of the variables, does this invalidate the entire model or can just the poorly-performing ...
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### coxph ran out of iterations and did not converge

Yes, I have checked that previous answers to "Ran out of iterations..." questions do not solve my problem. I have fault data on Firefox, 899 faults and 1395 (estimated) censored faults. The ...
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### SAS and R produced different results for the same cox ph model on the same data

I have fitted a Cox ph model using both R 4.3.1 and SAS 9.4 with the same data. In SAS, I used Proc phreg, while coxph function ...
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### Precisely how does R's coxph() handle repeated measures?

Context I'm attempting to understand how R's coxph() accepts and handles repeated entries for subjects (or patient/customer if you prefer). Some call this Long format, others call it 'repeated ...
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### How to assess the proportional hazards assumption for a continous variable

I am having a problem with checking the assumptions for a continuous variable in a proportional hazards model. If a variable were a factor with many levels, then I could use the logrank test or check ...
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### How best to analyze length of stay data in a hospital-based RCT?

I am interested in knowing whether or not there is a consensus about the optimal way to analyze hospital length of stay (LOS) data from a RCT. This is typically a very right-skewed distribution, ...
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### Propensity score weighting in Cox PH analysis and covariate selection

Regarding propensity score weighting (IPTW) when doing Cox proportional hazard modeling of time-to-event survival data: I have prospective registry data where we're interested in looking at treatment ...
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### Sample size and cross-validation methods for Cox regression predictive models

I have a question I would like to pose to the community. I have recently been asked to provide statistical analysis for a tumor marker prognostic study. I have primarily used these two references to ...
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### Different prediction plot from survival coxph and rms cph

I've created my own slightly enhanced version of the termplot that I use in this example, you can find it here. I've previously posted on SO but the more I think about it I believe that this probably ...
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### How to explain Hazard Ratio in layperson's terms

In the context of a Cox regression, I recently heard someone say that "the hazard ratio of 0.70 between the two treatment groups indicates that, during the whole followup time, of 100 persons in ...
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### Adjust for everything you have in propensity score?

I have a methodological question, and therefore no sample dataset is attached. I'm planning to do a propensity score adjusted Cox regression that aims to examine whether a certain drug will reduce ...
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### Extended Cox model and cox.zph

I have previously had experience only with Cox PH model and its assumptions checking. Now for the first time I have my clients data with most of the covariates varying in time, only a few are fixed ...
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### Calibration of Cox regression survival analysis

To perform calibration of a Cox regression model (i.e. assessing for the agreement between the predicted and the observed outcome), what is the best method to present the accuracy of the model in ...
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### Using multiple imputation for Cox proportional hazards, then validating with rms package?

I've been researching the mice package, and I haven't yet discovered a way to use the multiple imputations to make a Cox model, then validate that model with the rms package's ...
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### Calculate incidence rates using poisson model: relation to hazard ratio from Cox PH model

I want to calculate incidence rates to present along hazard ratio's in order to present both relative and absolute measures of risk. I saw in other studies that such incidence rates can be calculated ...
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### Recommendations for Non-Proportional Hazards

This is an issue that has plagued me for a long time and I have found no good answers in textbooks, Google, or Stack Exchange. I have data set of >100,000 patients for which four treatments are ...
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### How to generate survival data with time dependent covariates using R

I want to generate survival time from a Cox proportional hazards model that contains time dependent covariate. The model is $h(t|X_i) =h_0(t) \exp(\gamma X_i + \alpha m_{i}(t))$ where $X_i$ is ...
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### Comparison of CPH, accelerated failure time model or neural networks for survival analysis

I am new to survival analysis and I've recently learned that there are different ways to do it given a certain goal. I am interested in actual implementation and appropriateness of these methods. I ...
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### Schoenfeld residuals - Plain English explanation, please!

I have created a Cox model for lung adenocarcinoma patients. Several variables make up the model and I have assessed whether or not the proportional hazards assumption holds. Using the cox.zph ...
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### Interpreting R coxph() cox.zph()

The results of my coxph() are significant, yet the cox.zph() test is significant too. From my understanding of it, the ...
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### How do I interpret a Cox hazard model survival curve?

How do you interpret a survival curve from cox proportional hazard model? In this toy example, suppose we have a cox proportional hazard model on age variable in <...
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