# Questions tagged [interval-censoring]

Interval censoring means the value of a data point is only known to lie w/i a given interval. The most common example is when data have been rounded, eg, a value of 5 implies the original value was in the interval [4.5, 5.5).

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### Obtaining Incidence of death per X person years from KM survival curve?

Say I have interval censoring in my data and have derived KM curves for two groups with maximum follow up of 2 years. Death is the outcome of interest. For each group, how do I obtain number of death ...
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### Understanding the reasoning behind Tobit composite likelihood

The Tobit model defines a likelihood for what amounts to a censored normal distribution - i.e. the tails are clipped - which is meant to be applied to data that has undergone censoring and thus has an ...
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### What statistical analysis test can be used to find the direction of effect?

I'm doing research on the effect of strategic video game play on students' mathematical ability. My independent variable is the number of hours spent playing strategic games daily, but my data is not ...
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### Why can't Cox-PH handle left or interval censoring?

I've been trying to find a mathematical explanation for this. Note, I'm talking about the "classic" Cox-PH, not the extensions given after to incorporate interval/left censoring. In this ...
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### Is my data interval-censored data or discrete-time data?

I am trying to analyze my data using survival analysis in R and I am curious about how to identify my data. My research is an 11-month longitudinal study, and me and my colleagues collected data for ...
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### Comparing distribution of continuous data and binned data that are compositional

The Data I have a list of N ∼ 6700 population members who have a condition and are labeled with age in whole years and biological sex. For the parent population, I have The total number of each sex (∼...
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### Difference between left censoring and interval censoring

I'm dealing with some medical data which is made up of all admissions to hospital in a certain area, where each row is one patient admission alongside the various tests and demographic data done. Also ...
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### How do i generate separate survival data which is also left-censored and interval-censored?

I am trying to generate both left-censored and interval-censored datasets which both have the same features. I wish to fit and compare a cox model, Aalen's additive model and an Accelerated failure ...
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### How do I incorporate sample size as a random variable in a latent interval censored model

I've got a dataset wherein only every third success in a series of n trials is observed. I had originally used the following Bayesian model:  y_i \sim \mathtt{floor}(z_i / 3) \\ z_i \sim B(n_i, p_z) ...
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### Survival model with nonlinear interaction between categorical and continuous predictor: how to improve fit?

I have a dataset from an experiment testing insect mortality with the following design: There are 5 doses of radiation (0, 150, 400, 750, 1000) which I scaled to 0, 0.15, 0.4, 0.75, 1 for model ...
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### Calibration plot without binning predictions

Similar to ths question I would like to know how to create a calibration curve without binning my predictions. What makes my situation different, is that I'm using icenReg for my interval-censored ...
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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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### Confused about the censoring procedure in Helsel (2012) book

Reading Helsel STATISTICS FOR CENSORED ENVIRONMENTAL DATA USING MINITAB AND R, at page xviii the author writes: The Figure i4 shows concentration (y) levels versus distance (x) downstream. What ...
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### survreg not appropriate for double-censored data?

I'm consulting with a local quantitative person about some data, it's double-censored. Left censored is below limit of quantitation. Right censored is saturation of the assay. I want to regress it ...
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### mean and MSE of Interval censored data

I have been handed data that is interval censored where left censoring is limit of detection and right censoring is saturation of the assay. How do I estimate the means and mean standard errors of ...
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### Time intervals without events in event history models with competing risks (e.g., Cox, piecewise constant, logit)

I want to evaluate factors influencing the time to degree for college students in their master's degree with panel data. The dependent variable is time to degree in months (reference: student is still ...
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### Survival model with unknown number of subjects exposed? Aka hurdle-survival model?

I have data from a live-attenuated vaccine study and I want to estimate the distribution of shedding times after vaccination. I have samples collected at multiple time points for each subject, and I ...
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### How to deal with randomly censored data for survival analyses

I have data across 8 different time-points that is both left, right, and interval censored (also randomly censored) that I am trying to use to conduct a survival analysis. The left-censoring should ...
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### Assessment of interval-censored survival models

How can I evaluate a survival model made for interval-censored data? I'm building my models in icenReg, which only allows you to check for whether the proporitional hazards assumption is satisfied. ...
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### Kaplan-Meier / NPMLE / semi-parametric ph survival curve troubleshooting

I've got my survival curves looking like this: NPMLE using icenReg semi_parametric using icenReg and cox PH, where right side of interval is used as time of event Why do the survival curves ...
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### Survival time intervals starting from 0- errors from Surv() and IcenReg

I'm trying to model the risk of diabetic retinopathy as a function of time between screening appointments. The outcome is interval-censored because we only know that the event occurred between the ...
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### How to compare two empirical CDFs obtained from current status data

I have failure time information of a product in the form of current status data, which looks something like this. Observed Time($t_i$) failed ? ($y_i$) 5 hrs 1 6 hrs 0 5 hrs 0 7 hrs 1 ...
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### Why does icenReg or survival's "interval2" not accept event indicator?

In "normal" survival analysis that I'm familiar with (probably because they're very common), such as logistic regression, Cox PH, decision trees, the time to event analysis always includes ...
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### Survival analysis: difference between GLM clog-log family binomial vs GLM clog-log family Poisson

I'm trying to find ways to do survival analysis on data with asynchronous interval-censored outcomes and time-varying covariates. I know that GLM binomial with a complementary log-log link function ...
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### Fitting truncated and censored data

I have data that is truncated on the left and censored on the right. The reason is that this is claims data, which for a claim gives the amount of the claim. The claim appears in the data: Only if it ...
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### Survival analysis for interval censored data using deep learning

Apologies if I mess something up, I've only used Cox PH once and am only starting with deep learning! In my project, I'm trying to estimate the best interval for screening patients for some ...
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### Piecewise exponential models with overlapping time periods

I would like to fit a piecewise exponential model using survival data. However, many of the event times are interval-censored with overlapping intervals (see the example below, where each row is an ...
1 vote
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### Censored data with frequency - Weibull distribution fitting

I have the data like below. I woud like to fit Weibull (or Gamma) distribution without multiplying each case in the interval (what fitdistrplus requires). Does anyone know smarter method?
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### Posterior distribution when it's only known that data belongs to some known interval

Suppose we know the prior distribution. When we observe a data point, say $x$, it allows us to form a posterior distribution. I was wondering what if we only know that the data point $x$ belongs to a ...
1 vote
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### Estimating survival function under interval censoring

I'm trying to learn about methods for conducting survival analysis when the data consists of, for example, yearly tests. In other words, when it is discovered that an event has occurred, it's only ...
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### Pooling Survreg Results Across Multiply Imputed Datasets - Warning: log(1 - 2 * pnorm(width/2)) : NaNs produced

I am trying to run an interval regression using the survival r package (as described here https://stats.oarc.ucla.edu/r/dae/interval-regression/), but I am running into difficulties when trying to ...
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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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### How to compare the distributions of censored data?

Is there a way to test if the distributions of the two samples of censored data? As the data is not defined exactly, Kolmogorov-Smirnov test does not seem to be directly applicable. Generally ...
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