Several people noticed that I thanked three people, but only two responses 
were sent to the impute list, and asked for the third response.   Below is 
the response I received from Donald Rubin.

Based on his response, I have tracked down two references so far based on 
the NAEP:

Johnson, E.G. (1992). The design of the National Assessment of Educational 
Progress. Journal of Educational Measurement, 29, 95-110.

Mislevy, R.J., Beaton, A.E., Kaplan, B., & Sheehan, K.M.  (1992). 
Estimating population characteristics from sparse matrix samples of item 
responses. Journal of Educational Measurement, 29, 133-161.


Mike Frone

--------------------------------

Donald Rubin wrote:

There was(is?) a very major project using this idea years ago done by ETS
for NAEP (Nat Assessment of Educ Progress).  Had many articles in journals
too using multiple imputation to get valid inferences. I think some of the
articles were in J of Educ Statistics, in the late 80's or in the 90's,
with Robt Mislevy as one of the authors.  The idea was to limit the size
of the test that each kid had to take, but getting inferences as if all
the kids took the entire test.  Know there as "matrix sampling" (of kids
and test items). 

Neal Thomas, then of ETS now at B-M-S in Conn, has done much work on it
too.  Also, check out a JASA article in the late 90's by Raghunathan and
Grizzle on "split questionnaire" designs in health-care research -- exact
same idea:  create systematic missing data (which you know are missing at
random by design) and multiply-impute to get correct inferences.

Hope this helps.


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