[R-sig-ME] Rasch with lme4
ken at kjbeath.com.au
Tue Jun 9 12:25:21 CEST 2009
On 09/06/2009, at 8:58 AM, Stuart Luppescu wrote:
> On 火, 2009-06-09 at 08:04 +1000, Ken Beath wrote:
>> The model treats item as a random effect and should be a fixed
> Hmm. In Doran, Bates, Bliese and Dowling (2007), the authors treat the
> item as random.
It can be argued that the items are a sample from a population of
items which is possibly reasonable for educational testing where there
might be a population of questions which can be asked. Even so,
assumptions about the distribution are optimistic and most items are
used because they test something obvious. Maybe others have a
different philosophy. A more pedantic argument is that this isn't the
model Rasch used.
>> Another question to ask is whether the Rasch model is appropriate. If
>> an IRT is more sensible it would cause some problems with the second
> Sorry, but I don't understand this at all.
By an IRT I mean the 2 parameter version where there is a discriminant
parameter which varies among items, in contrast to the Rasch where it
is constant. It probably gives problems with the other model as well
but the second model should have more problems.
I don't like the idea of assuming a Rasch model at all, its popularity
seems to derive from an era when fitting anything else was difficult.
Modern software offers proper solutions, unfortunately at a cost but
that shouldn't be a consideration.
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