WOLFRAM

EventData[{e1,e2,}]

represents event data with explicitly specified censoring ei.

EventData[{e1,e2,},{ci1,ci2,}]

represents event data ei with censoring indicators cii.

EventData[{e1,e2,},{cc1,cc2,}]

represents event data ei with censoring counts cci.

EventData[{e1,e2,},cspec,{tr1,tr2,}]

represents event data with censoring and truncation tri.

Details

  • EventData augments data with censoring and truncation information.
  • The following event specifications can be used for ei:
  • tino censoring; event happens at tti
    {ti,}right censoring; event happens at some t where tit
    {-,ti}left censoring; event happens at some t where t<ti
    {ti,min,ti,max}interval censoring; event happens at some t where ti,min<tti,max
  • The following censoring indicators can be used for cii:
  • 0, None{t,t}no censoring
    1, Right{t,}right censoring
    -1,Left{-,t}left censoring
  • The following count specifications can be used for cci:
  • { ni}ni events at ei
    {ni,ri}ni events and ri right-censored events at ei
    {ni,ri,li}ni events, ri right-censored events, and li left-censored events at ei
  • The following event specifications can be used for tri:
  • ti,{ti,}left truncation; observable for t>=t_(i)
    {-,ti}right truncation; observable for t<=t_(i)
    {ti,min,ti,max}interval truncation; observable over ti,mintti,max
  • EventData can be used in statistics functions including:
  • Mean,Variance,descriptive statistics functions
    EmpiricalDistribution,nonparametric distribution estimation
    EstimatedDistribution,parametric distribution estimation
    SurvivalModelFit,functions for survival analysis
  • Properties of EventData can be obtained by specifying EventData[]["property"].
  • A list of available properties can be obtained using EventData[]["Properties"].
  • EventData has the following properties:
  • "CensoringIndicators"censoring indicators {ci1,}
    "CensoredData"censored event intervals in the form {{t1,},}
    "EmpiricalPDF"event locations and corresponding estimated weights
    "InputData"input event specification {e1,}
    "MetaInformation"list of meta information rules
    "TruncationIntervals"truncation intervals {tr1,}
    "CensoringType"most general type of censoring present
    "TruncationType"most general type of truncation present

Examples

open allclose all

Basic Examples  (1)Summary of the most common use cases

Indicate right-censored data values:

Out[3]=3

Compute some descriptive statistics:

Out[4]=4
Out[5]=5

Scope  (12)Survey of the scope of standard use cases

Basic Uses  (5)

Compute descriptive statistics for event data:

Out[2]=2
Out[3]=3

Fit nonparametric distributions to event data:

Out[2]=2
Out[4]=4

Fit parametric distributions to event data:

Out[2]=2
Out[3]=3

Plot the distribution and the empirical estimate:

Out[5]=5

Fit a model using SurvivalModelFit:

Out[2]=2

Empirical survival function with confidence bands:

Out[4]=4

Fit a model with covariates using CoxModelFit:

Out[1]=1
Out[3]=3

Parameter estimates:

Out[4]=4

A comparison of the survival rates for the two groups:

Out[5]=5

Specifying Censoring and Truncation  (7)

Specify right censoring in a number of ways:

The objects all represent the same four observations where the third is right censored:

Out[2]=2
Out[3]=3

Left censoring:

The objects all represent the same four observations where the third is left censored:

Out[2]=2
Out[3]=3

Interval censoring:

The object represents four observations where the third is interval censored:

Out[2]=2

Use the count specifications to indicate multiple equivalent observations:

The objects each represent the same nine observations:

Out[2]=2
Out[3]=3

Specify left truncation:

The objects are equivalent representations of left-truncated, non-censored data:

Out[2]=2
Out[3]=3

Specify right truncation:

The object represents right-truncated, non-censored data:

Out[2]=2

Data can be both censored and truncated:

The object represents right-censored, left-truncated data:

Out[2]=2

Applications  (1)Sample problems that can be solved with this function

Mark right censoring on a plot of an estimated survival function:

The estimated survival function:

Create the censoring markers:

Out[3]=3

Show the censoring markers with the plot of the estimated survival:

Out[6]=6

Properties & Relations  (1)Properties of the function, and connections to other functions

Descriptive statistics are based on the underlying SurvivalDistribution:

Out[1]=1
Out[3]=3

Sample estimates are given when they differ from population estimates:

Out[4]=4
Out[5]=5
Wolfram Research (2012), EventData, Wolfram Language function, https://reference.wolfram.com/language/ref/EventData.html.
Wolfram Research (2012), EventData, Wolfram Language function, https://reference.wolfram.com/language/ref/EventData.html.

Text

Wolfram Research (2012), EventData, Wolfram Language function, https://reference.wolfram.com/language/ref/EventData.html.

Wolfram Research (2012), EventData, Wolfram Language function, https://reference.wolfram.com/language/ref/EventData.html.

CMS

Wolfram Language. 2012. "EventData." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/EventData.html.

Wolfram Language. 2012. "EventData." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/EventData.html.

APA

Wolfram Language. (2012). EventData. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EventData.html

Wolfram Language. (2012). EventData. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EventData.html

BibTeX

@misc{reference.wolfram_2025_eventdata, author="Wolfram Research", title="{EventData}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/EventData.html}", note=[Accessed: 23-May-2025 ]}

@misc{reference.wolfram_2025_eventdata, author="Wolfram Research", title="{EventData}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/EventData.html}", note=[Accessed: 23-May-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_eventdata, organization={Wolfram Research}, title={EventData}, year={2012}, url={https://reference.wolfram.com/language/ref/EventData.html}, note=[Accessed: 23-May-2025 ]}

@online{reference.wolfram_2025_eventdata, organization={Wolfram Research}, title={EventData}, year={2012}, url={https://reference.wolfram.com/language/ref/EventData.html}, note=[Accessed: 23-May-2025 ]}