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# A note on monotone likelihood ratio of the total score variable in unidimensional item response theory.

@article{Unl2008ANO, title={A note on monotone likelihood ratio of the total score variable in unidimensional item response theory.}, author={Ali Unl{\"u}}, journal={The British journal of mathematical and statistical psychology}, year={2008}, volume={61 Pt 1}, pages={179-87} }

- Published 2008 in The British journal of mathematical and…

This note provides a direct, elementary proof of the fundamental result on monotone likelihood ratio of the total score variable in unidimensional item response theory (IRT). This result is very important for practical measurement in IRT, because it justifies the use of the total score variable to order participants on the latent trait. The proof relies on a basic inequality for elementary symmetric functions which is proved by means of few purely algebraic, straightforward transformations. In… CONTINUE READING