[Rasch] complex sampling Rasch

Adams, Ray adams at acer.edu.au
Mon Feb 15 12:31:10 EST 2010


The answer is a bit complicated. Let's put fit aside and assume the
Rasch model and your data are compatible.  Then, it depends upon the
modelling assumptions you make and your estimation method.  If you use
conditional maximum likelihood or a pairwise routine then the item
parameter estimates are sample free and so the sample design does not
influence the estimates.  If you use unconditional or marginal maximum
likelihood then "in theory" there may be some minor effects, but I've
never seen any evidence that it has any practical consequence.

In PISA we do not take the complex sample design into account when
estimating item parameters.


-----Original Message-----
From: rasch-bounces at acer.edu.au [mailto:rasch-bounces at acer.edu.au] On
Behalf Of Randy & Shelley MacIntosh
Sent: Monday, 15 February 2010 7:42 AM
To: rasch
Subject: [Rasch] complex sampling Rasch

I am interested in applying the Rasch model to data from a complex 
sample design.
I was wondering if this has been done?
For example, is the nature of the PISA sample design explicitly taken 
into account when the Rasch estimates are produced?

Randy MacIntosh

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