Polytomous Latent Scales for the Investigation of the Ordering of Items

@article{Ligtvoet2011PolytomousLS,
  title={Polytomous Latent Scales for the Investigation of the Ordering of Items},
  author={R. Ligtvoet and L. A. Ark and Wicher Bergsma and K. Sijtsma},
  journal={Psychometrika},
  year={2011},
  volume={76},
  pages={200-216}
}
We propose three latent scales within the framework of nonparametric item response theory for polytomously scored items. Latent scales are models that imply an invariant item ordering, meaning that the order of the items is the same for each measurement value on the latent scale. This ordering property may be important in, for example, intelligence testing and person-fit analysis. We derive observable properties of the three latent scales that can each be used to investigate in real data… Expand

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