[Rasch] Multidimensional equations

Peter Congdon peter at kmetrics.com.au
Fri Apr 20 11:41:50 EST 2012


Can anyone help me write the equation for a multidimensional multifaceted
partial credit DIF model? 

I have 2 dimensions, Scenario complexity (-D), Time condition(-T), Group
membership(+G), Group membership by Time condition interaction (+G*T) and a
Step structure(+S)

 

I have written a few other equations for unidimensional models using the
format  below and would like to build the next equation using the same
format.

 

Thanks

Peter

 

 

 
(1)

     where:
            = Probability of person n scoring j on scenario i under
conditions of time k

          = Probability of person n scoring rated j-1 on scenario i under
conditions of time k

              = Ability of person n

               = Condition of time k

              = Complexity of scenario i, and

              = Difficulty of scoring step j relative to step j-1. 

 

 

_______________________________________________

cid:image003.jpg at 01CAC6B6.113EDB40 Measurement, Analysis & Reporting

 

 

Peter Congdon

Principal Consultant

Mobile: 0434 000 561

email:  <mailto:peter at kmetrics.com.au> peter at kmetrics.com.au

web:  <http://www.kmetrics.com.au/> www.kmetrics.com.au

_______________________________________________

 

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