Hi.

I'm looking for suggestions/literature on methods for imputing
missing X-values (explanatory variables) in survival data with
time-varying covariates. I am not focusing on imputation of 
events and event times. 

Basically, we are modeling time to surgery.  Given the 
inclusion of time-varying covariates, the number of 
repeated assessments modeled for any particular patient 
will depend upon her event/censor time.  The imputation 
model should account for intra-person correlation of 
response across repeated assessments.  

When performing multiple imputation on repeated measures 
data with fixed assessments for all participants, I usual fit the
imputation model to the 'wide' data set (one record of data per 
participant) and subsequently reshape the data into 'long'
format (one record per person-assessment) for substantive 
modeling.  However, for survival data with time-varying 
covariates, this method is not an attractive option because it 
would require imputing X values for occasions that occur 
after observed events--that would constitute a 
misspecification of the imputation model (even though 
such imputed values would be ignored in subsequent 
modeling).  

I've searched the literature some, but so far no luck.

Any suggestions?

Thanks in advance.

Steve

------------------------------------------------------------------
 Steve Gregorich
 University of California, San Francisco
 Department of Medicine
 3333 California Street, Suite 335, Box 0856
 San Francisco, CA 94143-0856
   (FedEx and UPS use zip code 94118)
 [email protected]
------------------------------------------------------------------


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From jcole <@t> webcmg.com  Wed May 23 19:41:40 2007
From: jcole <@t> webcmg.com ([email protected])
Date: Wed May 23 19:41:48 2007
Subject: [Impute] imputing missing X's in survival data with time-varying
        covariates
In-Reply-To: <[email protected]>
References: <[email protected]>
Message-ID: <[email protected]>

Hi Steve,

 

I am mostly avoiding your question, but thought I would offer this up.
Have you considered using FIML in Mplus?  This should be able to produce
the model you want, allow for the complex control of missing data you
require, and even allow for some well-placed auxiliary variables in the
model to help control the missingness mechanism.

 

Jason

 

____________________________________

 

Jason C. Cole, PhD

Senior Research Scientist & President

Consulting Measurement Group, Inc.

Tel:   866 STATS 99 (ex. 5)

Fax:  310 539 1983

2390 Crenshaw Blvd., #110

Torrance, CA 90501

E-mail: [email protected] <mailto:[email protected]> 

web: http://www.webcmg.com <http://www.webcmg.com/>            

____________________________________

 

From: [email protected]
[mailto:[email protected]] On Behalf Of Gregorich,
Steven
Sent: Wednesday, May 23, 2007 3:18 PM
To: IMPUTE post
Cc: Gregorich, Steven
Subject: [Impute] imputing missing X's in survival data with
time-varying covariates

 

Hi. 

I'm looking for suggestions/literature on methods for imputing 
missing X-values (explanatory variables) in survival data with 
time-varying covariates. I am not focusing on imputation of 
events and event times. 

Basically, we are modeling time to surgery.  Given the 
inclusion of time-varying covariates, the number of 
repeated assessments modeled for any particular patient 
will depend upon her event/censor time.  The imputation 
model should account for intra-person correlation of 
response across repeated assessments.  

When performing multiple imputation on repeated measures 
data with fixed assessments for all participants, I usual fit the 
imputation model to the 'wide' data set (one record of data per 
participant) and subsequently reshape the data into 'long' 
format (one record per person-assessment) for substantive 
modeling.  However, for survival data with time-varying 
covariates, this method is not an attractive option because it 
would require imputing X values for occasions that occur 
after observed events--that would constitute a 
misspecification of the imputation model (even though 
such imputed values would be ignored in subsequent 
modeling).  

I've searched the literature some, but so far no luck. 

Any suggestions? 

Thanks in advance. 

Steve 

------------------------------------------------------------------ 
 Steve Gregorich 
 University of California, San Francisco 
 Department of Medicine 
 3333 California Street, Suite 335, Box 0856 
 San Francisco, CA 94143-0856 
   (FedEx and UPS use zip code 94118) 
 [email protected] 
------------------------------------------------------------------ 

 

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From gregorich <@t> medicine.ucsf.edu  Fri May 25 15:42:48 2007
From: gregorich <@t> medicine.ucsf.edu (Gregorich, Steven)
Date: Fri May 25 15:44:00 2007
Subject: [Impute] imputing missing X's in survival data with time-varying
 covariates
Message-ID: <[email protected]>

Hi, Jason.

Jason said:
------------------------------------------------------------------------
----------------------------
Hi Steve,

I am mostly avoiding your question, but thought I would offer this up.
Have you considered using FIML in Mplus?  This should be able to produce
the model you want, allow for the complex control of missing data you
require, and even allow for some well-placed auxiliary variables in the
model to help control the missingness mechanism.
Jason
------------------------------------------------------------------------
----------------------

Steve replied: 
For some reason, I missed your original post and just saw it now when I
checked
the archives.  Thanks for your idea. I have been avoiding Mplus, but
this may prompt 
me to look into it.  


Also for everyone else I'm reposting my original message--hoping for
more responses.

------------------------------------------------------------------------
--------------------------
I'm looking for suggestions/literature on methods for imputing 
missing X-values (explanatory variables) in survival data with 
time-varying covariates. I am not focusing on imputation of 
events and event times. 

Basically, we are modeling time to surgery.  Given the 
inclusion of time-varying covariates, the number of 
repeated assessments modeled for any particular patient 
will depend upon her event/censor time.  The imputation 
model should account for intra-person correlation of 
response across repeated assessments.  

When performing multiple imputation on repeated measures 
data with fixed assessments for all participants, I usual fit the 
imputation model to the 'wide' data set (one record of data per 
participant) and subsequently reshape the data into 'long' 
format (one record per person-assessment) for substantive 
modeling.  However, for survival data with time-varying 
covariates, this method is not an attractive option because it 
would require imputing X values for occasions that occur 
after observed events--that would constitute a 
misspecification of the imputation model (even though 
such imputed values would be ignored in subsequent 
modeling).  

I've searched the literature some, but so far no luck. 

Any suggestions? 

Thanks in advance. 

Steve 
------------------------------------------------------------------------
----------------------


Steve


NEW E-MAIL ADDRESS: [email protected] 

------------------------------------------------------------------
 Steve Gregorich
 University of California, San Francisco
 Department of Medicine
 3333 California Street, Suite 335, Box 0856
 San Francisco, CA 94143-0856
   (FedEx and UPS use zip code 94118)
 [email protected]
------------------------------------------------------------------


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From JUDKIND1 <@t> westat.com  Tue May 29 17:01:18 2007
From: JUDKIND1 <@t> westat.com (David Judkins)
Date: Tue May 29 17:01:25 2007
Subject: [Impute] imputing missing X's in survival data with time-varying
        covariates
In-Reply-To: <[email protected]>
Message-ID: <[email protected]>

Damn, that one is complex.  Some imputation software that we have been
developing would want the full record for each person stretched out
sideways in order to model both cross-sectional and longitudinal
relationships.  But in this case, the length of the record would vary,
which would be impermissible.  I might think about partially dropping
back to a time-invariant set of covariates by doing something simple
like carrying forward/backward the last/next reported value of the
covariate when it is missing.  There were some papers a few years back
exploring the properties of these simple procedures on SIPP, the Census
Bureau's former Survey of Program Participation, and on its predecessor
the ISDP.  I think relevant results might be in the articles by Rizzo,
Kalton and Brick and by Folsom and Witt in the 1994 ASA SRMS
Proceedings.  My recollection is that in setting, the simple methods
behaved quite well.  

 

-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Gregorich,
Steven
Sent: Wednesday, May 23, 2007 6:18 PM
To: IMPUTE post
Cc: Gregorich, Steven
Subject: [Impute] imputing missing X's in survival data with
time-varying covariates

 

Hi. 

I'm looking for suggestions/literature on methods for imputing 
missing X-values (explanatory variables) in survival data with 
time-varying covariates. I am not focusing on imputation of 
events and event times. 

Basically, we are modeling time to surgery.  Given the 
inclusion of time-varying covariates, the number of 
repeated assessments modeled for any particular patient 
will depend upon her event/censor time.  The imputation 
model should account for intra-person correlation of 
response across repeated assessments.  

When performing multiple imputation on repeated measures 
data with fixed assessments for all participants, I usual fit the 
imputation model to the 'wide' data set (one record of data per 
participant) and subsequently reshape the data into 'long' 
format (one record per person-assessment) for substantive 
modeling.  However, for survival data with time-varying 
covariates, this method is not an attractive option because it 
would require imputing X values for occasions that occur 
after observed events--that would constitute a 
misspecification of the imputation model (even though 
such imputed values would be ignored in subsequent 
modeling).  

I've searched the literature some, but so far no luck. 

Any suggestions? 

Thanks in advance. 

Steve 

------------------------------------------------------------------ 
 Steve Gregorich 
 University of California, San Francisco 
 Department of Medicine 
 3333 California Street, Suite 335, Box 0856 
 San Francisco, CA 94143-0856 
   (FedEx and UPS use zip code 94118) 
 [email protected] 
------------------------------------------------------------------ 

 

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From gregorich <@t> medicine.ucsf.edu  Tue May 29 18:00:51 2007
From: gregorich <@t> medicine.ucsf.edu (Gregorich, Steven)
Date: Tue May 29 18:01:39 2007
Subject: [Impute] imputing missing X's in survival data with
        time-varying covariates
In-Reply-To: <[email protected]>
References: <[email protected]>
        <[email protected]>
Message-ID: <[email protected]>

Thanks for your note, David.
 
We are interested in modeling time-varying covariates: we want to 
model both between-person (baseline values) and within-person 
(change since baseline) effects of explanatory variables.  
 
Perhaps, as suggested here by Jason, fitting a discrete-time survival 
model with Mplus via EM is my best option. I've yet to read Bengt 
Muthen's 2005 JEBS article describing his parameterization of that 
model.
 
Steve

NEW E-MAIL ADDRESS: [email protected] 

------------------------------------------------------------------ 
 Steve Gregorich 
 University of California, San Francisco 
 Department of Medicine 
 3333 California Street, Suite 335, Box 0856 
 San Francisco, CA 94143-0856 
   (FedEx and UPS use zip code 94118) 
 [email protected] 
------------------------------------------------------------------ 

 


________________________________

From: David Judkins [mailto:[email protected]] 
Sent: Tuesday, May 29, 2007 3:01 PM
To: Gregorich, Steven; IMPUTE post
Subject: RE: [Impute] imputing missing X's in survival data with
time-varying covariates



Damn, that one is complex.  Some imputation software that we have been
developing would want the full record for each person stretched out
sideways in order to model both cross-sectional and longitudinal
relationships.  But in this case, the length of the record would vary,
which would be impermissible.  I might think about partially dropping
back to a time-invariant set of covariates by doing something simple
like carrying forward/backward the last/next reported value of the
covariate when it is missing.  There were some papers a few years back
exploring the properties of these simple procedures on SIPP, the Census
Bureau's former Survey of Program Participation, and on its predecessor
the ISDP.  I think relevant results might be in the articles by Rizzo,
Kalton and Brick and by Folsom and Witt in the 1994 ASA SRMS
Proceedings.  My recollection is that in setting, the simple methods
behaved quite well.  

 

-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Gregorich,
Steven
Sent: Wednesday, May 23, 2007 6:18 PM
To: IMPUTE post
Cc: Gregorich, Steven
Subject: [Impute] imputing missing X's in survival data with
time-varying covariates

 

Hi. 

I'm looking for suggestions/literature on methods for imputing 
missing X-values (explanatory variables) in survival data with 
time-varying covariates. I am not focusing on imputation of 
events and event times. 

Basically, we are modeling time to surgery.  Given the 
inclusion of time-varying covariates, the number of 
repeated assessments modeled for any particular patient 
will depend upon her event/censor time.  The imputation 
model should account for intra-person correlation of 
response across repeated assessments.  

When performing multiple imputation on repeated measures 
data with fixed assessments for all participants, I usual fit the 
imputation model to the 'wide' data set (one record of data per 
participant) and subsequently reshape the data into 'long' 
format (one record per person-assessment) for substantive 
modeling.  However, for survival data with time-varying 
covariates, this method is not an attractive option because it 
would require imputing X values for occasions that occur 
after observed events--that would constitute a 
misspecification of the imputation model (even though 
such imputed values would be ignored in subsequent 
modeling).  

I've searched the literature some, but so far no luck. 

Any suggestions? 

Thanks in advance. 

Steve 

------------------------------------------------------------------ 
 Steve Gregorich 
 University of California, San Francisco 
 Department of Medicine 
 3333 California Street, Suite 335, Box 0856 
 San Francisco, CA 94143-0856 
   (FedEx and UPS use zip code 94118) 
 [email protected] 
------------------------------------------------------------------ 

 

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