Sequential Models for Ordered Responses

  • Gerhard Tutz


The model considered in this chapter is suited for a special type of response. First, the response should be from ordered categories, i.e., a graded response. Second, the categories or levels should be recorded successively in a stepwise manner. An example illustrates this type of item, which is often found in practice:

Wright and Masters (1982) consider the item \(\sqrt {9.0/0.3 - 5} = ?\) Three levels of performance may be distinguished: No subproblem solved (Level 0), 9.0/0.3 = 30 solved (Level 1), 30 − 5 = 25 solved (Level 2), \(\sqrt {25} = 5\) (Level 3). The important feature is that each level in a solution to the problem can be reached only if the previous level is reached.


Item Response Theory Item Difficulty Item Parameter Sequential Model Partial Credit Model 
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© Springer Science+Business Media New York 1997

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  • Gerhard Tutz

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