# [Rasch] Measure from one item response

rsmith at jampress.org rsmith at jampress.org
Tue Sep 25 03:04:09 EST 2012

```Of course the person SEM for this estimate would be very large (Imagine the SEM for a 4 item MC test.).

Richard M. Smith, Editor
Journal of Applied Measurement
P.O. Box 1283
Maple Grove, MN  55311, USA
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-------- Original Message --------
> From: Mike Linacre <rmt at rasch.org>
> Sent: Friday, September 21, 2012 5:21 PM
> To: rasch at acer.edu.au
> Subject: Re: [Rasch] Measure from one item response
>
> Stuart:
>
> Yes, we can do the calculation, but what is the range of responses? 0-4 or
> 1-5? Or is the bottom step difficulty, 0, a place-holder, so that the
> response range is 1-4?
>
> One method is at http://www.rasch.org/rmt/rmt122q.htm with L=1. This is
> awkward by hand, but straightforward with Excel.
>
> OK?
>
> Mike L.
>
> Stuart wrote:
> >Fellow Raschies, I have what I hope is a quick question: Is it possible
> >to estimate a person measure based on one response to one item, given
> >the item and step difficulty? For example, say for an item with
> >difficulty 0.1; and step difficulties 0, -1.5, 0, 1.5; a person responds
> >'3'. Can we know that person's measure just using a pocket calculator or
> >paper and pencil? How about if the response is '1' or '4'?
>
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