[Rasch] Sparse rating scales

Mike Linacre (RMT) rmt at rasch.org
Mon Jan 30 07:18:00 EST 2006

Agustin wrote:
Quote: "Things become even worse when people run Rasch analysis using 50 
cases when their rating scales range from 1-100. They do not even have 1 
person per scale point. By the way, Mike, how would you comment on that?"

Since they are approximating distributions, they could use a Rasch model 
which smooths over the scale, for instance Andrich's "Guttman components" 
approach, or a continuous Rasch model using a polynomial or Fourier 
transform to define the rating scale structure. A direct approach would be 
to impose a set of linearly increasing Rasch-Andrich thresholds: 0, 1, 2, 
3, 4,....,99. And then adjust the logit scaling (USCALE= in Winsteps) until 
the overall mean-squares approximate 1: www.rasch.org/rmt/rmt142n.htm

Mike Linacre

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