An item response theory is discussed which is
based on purely ordinal assumptions about the
probabilities that people respond positively to
items. It is considered as a natural generalization of
both Guttman scaling and classical test theory. A
distinction is drawn between construction and
evaluation of a test (or scale) on the one hand and
the use of a test to measure and make decisions
about persons’ abilities on the other. Techniques to
deal with each of these aspects are described and illustrated
Mokken, Robert J & Lewis, Charles. (1982). A nonparameteric approach to the analysis of dichotomous item responses. Applied Psychological Measurement, 6, 417-430. doi:10.1177/014662168200600404
Mokken, Robert J.; Lewis, Charles.
A nonparameteric approach to the analysis of dichotomous item responses.
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