# 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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### Selecting study design ( and tests) to precise the optimal interval of checkups of engine to prevent engine major failures

I'd like to get your advice on how to select methodology and plan database variables (skeleton ) to conduct a retrospective research. there are around 60 engines, they can have major failure (main ...
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### Interval variables in linear regression

Are there any R packages that alow you to regress an interval independent variable against a continuous dependent variable? I've found packages that let you do it the other way round, but I'm really ...
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### ANOVA in R with an interval-censored independent variable

I would like to perform a linear regression/ANOVA where the response variable is continous and one of the predictor variables is interval-censored. I would like to do this in R. The intervals are all ...
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### Current status data with range for exposure time

I am analyzing a dataset with current status data, meaning I know the total time of exposure for each patient and whether or not they had the event of interest during that exposure. I know the typical ...
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### Is there a way to perform “linear regression” with an interval censored response variable in R? [closed]

I am looking for a way to perform something like linear regression, but with an interval censored response variable (in R). I want to know whether there is a (statistically significant) linear ...
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### Interval Censored data for WeibullFitter in Lifelines python module [closed]

I am getting different answer using lifelines module for interval censored data fitting using WeibullFitter() function. ...
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### Independence of censoring time $C$ and event time $T$ for randomised entry to a study

While reading through the textbook 'Modern Applied Statistics With S' by Venables and Ripley, I came across the following paragraph detailing the different types of censoring possible when dealing ...
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### How to interpret left and right censoring

I am fully aware that question regrading left and right censoring has been asked before. I will however post my own question, as I believe that its focus differs significantly. Here goes: I have a ...
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### Weighing toilet paper with an imprecise scale

A practical, topical problem: Consider a typical roll of toilet paper (TP) with perforated sheets of fairly uniform size, and suppose we're interested in the distribution of a sheet's weight $W$ but ...
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### Four different ways to deal with the log-likelihood of a probability density function (Python code included)

This is not really a question but more of a discussion. Please correct me where wrong and share your thoughts and past experience with regards to computing the likelihoods for continuous data models. ...
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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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### Estimating the mean from interval censored data

Say you had a sample of ages from a population, but the ages are in buckets...Such as <1, 1-4, 5-14, 15-24, ..., 55-64, 65+...And you want to get an estimate for the average of the age distribution ...
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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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### Kaplan-Meier for interval-censoring data

I would like to ask if someone encountered the problem with a specific form of interval data in survival analysis. How to perform the preliminary analysis (for instance Kaplan-Meier estimator) of ...
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### Parametric estimator for straightforward interval-censored data

$X_i$ is iid from some distribution, such as $N(\mu, \sigma^2)$. All I want is to estimate the parameters of the distribution. However, I don't observe $x_i$, instead, I observe $(a_i, b_i)$ such that ...
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### In a survival study, is interval censoring simplifiable to midtime imputation?

In epidemiological studies, it is common that event are interval censored, since an incident case (like a new diagnosis of disease) could have happened between 2 waves of data collection. No software ...
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### My dependent variable is classified in categories ,which regression model to use

My dependent variable is classified in categories as 5-10, 10-15 . Which is the best regression model for this kind of analysis.my dependent variable asks the participant of the survey to mark the ...
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### Is there a standard way to treat events with unknown times (missing survival time data)?

Suppose we are studying some event and the observations are the pairs: time and indicator whether the event has already happened at this time. We have one observation per subject. No events happen ...
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### Simulation censored data in R

I am trying to simulate a data set of interval censored data(finite interval censored data, right censored data ,and left censored data). In fact, I created two monitoring times in R and I have the ...
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### Non-censored percentage values as Dependent Variables, which regression model?

Im working with percentage values for the first time and I looked at which models apply here. In the justification for e.g. logistic regression for percentage data I see the fact mentioned that ...
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### Generating survival times with covariates

I would like to generate the survival time from an exponential distribution via inverse transformed method. The thing is, how can we generate a survival time having the covariates (eg. age) affected ...
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### Inferring Averages from Interval Data + Sums

I have data on the number of firms reported in intervals by employment (e.g. 0-100, 100-200, etc. - $x_{1it},...,x_{nit}$), as well as the total employment ($y_{it}$) across firms in the sample- for ...
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### Methods for censored covariates

I am facing the situation that I have different data sources that in principle it makes sense to combine. The outcome (independent) variable is defined the same way, but the (likely) most important ...
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### Right, Left, Interval, Delayed, and truncted data

I have a medical data set that has all the following cases: Right-censored Left-censored ...
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### How to fit data with an interval-censored explanatory variable?

I have a series of human growth data that I wish to fit to a 3 parameter logarithmic growth curve: s(i) = Beta0 + B1*T + B2*ln(t), where s is a length and t is an age. The only problem is that ...
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I have a database of 22,720 nurses with four observation points say Jan 2011, Jan 2012, Jan 2013 and Jan 2014. I know at each observation point if they developed a condition or not. Some new nurses ...
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### Is there a way to correct for continuity for the Shapiro-Wilk test?

I wish to investigate whether endocranial volume (the volume inside the skull) is normally distributed, ideally with a sample size in the hundreds. Few studies have released their data on this subject,...
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### Plotting survival times

I have been looking for ways to plot survival times as in the following graph And having this data: ...
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### Right censored survival analysis with interval data in R

How do you perform a survival analysis on a data set that is right censored (i.e. some samples are removed before failure) where the measurement points are non-regular discreet intervals (i.e. failure ...
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### Can an interval censored survival model be used to predict an event in a future interval?

Suppose I have an interval censored survival model in which each interval is a month long period, and there are twelve intervals (i.e. one year total). Also suppose that this model has been trained ...
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### Analysis of data given as intervals instead of points

I have a set of data that is not given as $\boldsymbol{x} = x_1, \dots, x_n,$ but as pairs $\boldsymbol{x}_{interval} = (x^{(start)}_1, x^{(end)}_1), \dots, (x^{(start)}_n, x^{(end)}_n).$ For each ...
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### Standard practice for dealing with U flagged chemistry data

I have a large dataset of environmental chemistry data. Many results are U flagged by either the lab or validators. If I want to use these results to find average values over time I see there are ...
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### Is it possible to do a forecast for an interval when the data are intervals?

For example, if I had a set of intervals prices, and then we need to do a forecast for the next period time.
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### Is it valid to derive a mean from categorical data?

I am working on a study to quantify average working hours for doctors. However, when I leave it empty for respondents to fill up, it remains unfilled. Changing it into categories as above yield ...
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### limit of detection (interval censored) CI

I'm trying to compare data I have to other data for which I have mean and std (normally distributed). My data consists of several varibales, some of which are interval censored due to machine limit of ...
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### What are methods for computing the descriptive statistics of interval measures? [closed]

I do several measurements and obtain for each: $m_i = x_i \pm \delta x_i$. What are the mean and the standard deviation of a such series of measurements?
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### Software for survival regression with interval censoring and frailty

I'm conducting regression analysis on sleeping time data. The data is survey data and the answer possibilities are of type "less than 4 h", "5 h", "6 h", etc. so they can be thought to be interval ...
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### Gaussian process likelihood with binned data

I have some binned data (no access to underlying info) and prior knowledge that the value in each bin smoothly varies in space. So I am modeling using a Gaussian Process prior, which according to ...
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### Statistical methods for data where only a minimum/maximum value is known

Is there a branch of statistics that deals with data for which exact values are not known, but for each individual, we know either a maximum or minimum bound to the value? I suspect that my problem ...
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### Should I treat my data as ordinal or interval?

I conducted a survey where I asked respondents how much they reduced their financial overhead, based on the following options: 0% (coded as 0 in my dataset) 1-10% (coded as 1) 11-25% (coded as 2, etc....
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### What is the mathematically rigorous definition of chunky data?

When in the workplace, certain measurement-taking devices are subject to different numerical accuracy; in some cases, the accuracy can be pretty weak (i.e., to one or two significant values only). ...
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### Inferring likely dates based on other related dates in incomplete data set

I'm taking my first steps in data science and machine learning. I'm experimenting with a project where I have no idea even what approaches I might start with, so I'd appreciate any leads: I have a ...
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### Fit distribution to grouped data with unequal intervals

From a social network survey (name generator and name interpretor) I have data about frequencies of interaction ("How often are you in contact with person X?") on a scale I would interpret as interval ...