Any opinions out there about the most current paper or book with the
best advice on choosing the number of multiple imputations?

 

David Judkins 
Senior Statistician 
Westat 
1650 Research Boulevard 
Rockville, MD 20850 
(301) 315-5970 
[email protected] 

 

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From Torsten.Neilands <@t> ucsf.edu  Thu Nov 15 11:45:39 2007
From: Torsten.Neilands <@t> ucsf.edu (Neilands, Torsten)
Date: Thu Nov 15 11:49:32 2007
Subject: [Impute] Best reference for choice of m in multiple
 imputation
In-Reply-To: <[email protected]>
References: <[email protected]>
Message-ID: <[email protected]>

Hi David,

You might find this article to be of interest: 

        Graham JW, Olchowski AE, Gilreath TD. How many imputations are really 
needed? Some practical clarifications of multiple imputation theory. Prev Sci 
2007;8(3):206-13.

Abstract: Multiple imputation (MI) and full information maximum likelihood 
(FIML) are the two most common approaches to missing data analysis. In theory, 
MI and FIML are equivalent when identical models are tested using the same 
variables, and when m, the number of imputations performed with MI, approaches 
infinity. However, it is important to know how many imputations are necessary 
before MI and FIML are sufficiently equivalent in ways that are important to 
prevention scientists. MI theory suggests that small values of m, even on the 
order of three to five imputations, yield excellent results. Previous 
guidelines for sufficient m are based on relative efficiency, which involves 
the fraction of missing information (gamma) for the parameter being estimated, 
and m. In the present study, we used a Monte Carlo simulation to test MI models 
across several scenarios in which gamma and m were varied. Standard errors and 
p-values for the regression coefficient of interest varied as a function of m, 
but not at the same rate as relative efficiency. Most importantly, statistical 
power for small effect sizes diminished as m became smaller, and the rate of 
this power falloff was much greater than predicted by changes in relative 
efficiency. Based our findings, we recommend that researchers using MI should 
perform many more imputations than previously considered sufficient. These 
recommendations are based on gamma, and take into consideration one's tolerance 
for a preventable power falloff (compared to FIML) due to using too few 
imputations.

With best wishes,

Tor Neilands

Tor Neilands
Center for AIDS Prevention Studies (CAPS)
University of California, San Francisco
50 Beale Street, Suite 1300
San Francisco, CA  94105
Voice: (415) 597-9236
Fax: (415) 597-9213
E-mail: [email protected]
________________________________________
From: [email protected] 
[mailto:[email protected]] On Behalf Of David Judkins
Sent: Thursday, November 15, 2007 9:25 AM
To: IMPUTE post
Subject: [Impute] Best reference for choice of m in multiple imputation

Any opinions out there about the most current paper or book with the best 
advice on choosing the number of multiple imputations?
?
David Judkins 
Senior Statistician 
Westat 
1650 Research Boulevard 
Rockville, MD 20850 
(301) 315-5970 
[email protected] 
?

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