The Nominal Categories Model

  • R. Darrell Bock


The nominal categories model (Bock, 1972), with its various specializations and extensions, comprises a large family of functions suitable for statistical description of individual qualitative behavior in response to identified stimuli. The models specify the probability of a person’s response in one of several mutually exclusive and exhaustive categories as a function of stimulus characteristics and person attributes. Bock’s nominal model, like Birnbaum’s (1968) binary item response model, is an elaboration of a primitive, formal model for choice between two alternatives.


Item Response Theory Item Parameter Item Response Model Partial Credit Model Posterior Standard Deviation 
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© Springer Science+Business Media New York 1997

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  • R. Darrell Bock

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