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EventData
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EventData

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EventData[{e1,e2,…}]

represents event data with explicitly specified censoring ei.

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EventData[{e1,e2,…},{ci1,ci2,…}]

represents event data ei with censoring indicators cii.

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EventData[{e1,e2,…},{cc1,cc2,…}]

represents event data ei with censoring counts cci.

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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 ti≤t
    {-∞,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<t≤ti,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,min≤t≤ti,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:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-e67u14
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-x8iqn
Out[3]=3

Compute some descriptive statistics:

In[4]:=4
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https://wolfram.com/xid/0eny3xowy-rcf6z
Out[4]=4
In[5]:=5
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https://wolfram.com/xid/0eny3xowy-mz6nwz
Out[5]=5

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

Basic Uses  (5)

Compute descriptive statistics for event data:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-df2a5v
In[2]:=2
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https://wolfram.com/xid/0eny3xowy-co21so
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-ckyp8g
Out[3]=3

Fit nonparametric distributions to event data:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-f7es
In[2]:=2
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https://wolfram.com/xid/0eny3xowy-iwsv9
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-ihmsy
In[4]:=4
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https://wolfram.com/xid/0eny3xowy-fzof5e
Out[4]=4

Fit parametric distributions to event data:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-epb0fr
In[2]:=2
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https://wolfram.com/xid/0eny3xowy-nnu1d
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-jumbt
Out[3]=3

Plot the distribution and the empirical estimate:

In[4]:=4
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https://wolfram.com/xid/0eny3xowy-hhv3lc
In[5]:=5
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https://wolfram.com/xid/0eny3xowy-janqyb
Out[5]=5

Fit a model using SurvivalModelFit:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-bf2422
In[2]:=2
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https://wolfram.com/xid/0eny3xowy-dt32e
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-kvp3o

Empirical survival function with confidence bands:

In[4]:=4
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https://wolfram.com/xid/0eny3xowy-0v3tb
Out[4]=4

Fit a model with covariates using CoxModelFit:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-jznsj
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0eny3xowy-4k54e
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-k018o
Out[3]=3

Parameter estimates:

In[4]:=4
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https://wolfram.com/xid/0eny3xowy-estl6o
Out[4]=4

A comparison of the survival rates for the two groups:

In[5]:=5
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https://wolfram.com/xid/0eny3xowy-dmjo4e
Out[5]=5

Specifying Censoring and Truncation  (7)

Specify right censoring in a number of ways:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-n2p70k

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

In[2]:=2
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https://wolfram.com/xid/0eny3xowy-en0xs
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-c23rhk
Out[3]=3

Left censoring:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-dyff4y

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

In[2]:=2
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https://wolfram.com/xid/0eny3xowy-cax4ey
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-bylvax
Out[3]=3

Interval censoring:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-g201kh

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

In[2]:=2
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https://wolfram.com/xid/0eny3xowy-zj67b
Out[2]=2

Use the count specifications to indicate multiple equivalent observations:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-bfk602

The objects each represent the same nine observations:

In[2]:=2
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https://wolfram.com/xid/0eny3xowy-80mtu
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-d5himb
Out[3]=3

Specify left truncation:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-lm4xg4

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

In[2]:=2
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https://wolfram.com/xid/0eny3xowy-nc671j
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-njq2k4
Out[3]=3

Specify right truncation:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-ept3d4

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

In[2]:=2
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https://wolfram.com/xid/0eny3xowy-gkjgrk
Out[2]=2

Data can be both censored and truncated:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-bro9f7

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

In[2]:=2
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https://wolfram.com/xid/0eny3xowy-cjvye
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:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-de4zrl

The estimated survival function:

In[2]:=2
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https://wolfram.com/xid/0eny3xowy-l3m4xf

Create the censoring markers:

In[3]:=3
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https://wolfram.com/xid/0eny3xowy-hx2q8x
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0eny3xowy-gj74vu

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

In[6]:=6
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https://wolfram.com/xid/0eny3xowy-gdkxhx
Out[6]=6

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

Descriptive statistics are based on the underlying SurvivalDistribution:

In[1]:=1
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https://wolfram.com/xid/0eny3xowy-ilgr9s
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0eny3xowy-c3drg3
In[3]:=3
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https://wolfram.com/xid/0eny3xowy-lo2bhz
Out[3]=3

Sample estimates are given when they differ from population estimates:

In[4]:=4
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https://wolfram.com/xid/0eny3xowy-pkui69
Out[4]=4
In[5]:=5
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https://wolfram.com/xid/0eny3xowy-9rugx
Out[5]=5
Wolfram Research (2012), EventData, Wolfram Language function, https://reference.wolfram.com/language/ref/EventData.html.
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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.

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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.

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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

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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 ]}

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@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 ]}

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@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 ]}