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- W48643126 abstract "The Rasch model is usually derived from statistical requirements of estimation of its parameters. The principle of 'specific objectivity' or, equivalently, 'sample independence' requires that subject parameters can be estimated independent from the item parameters and vice versa. This in turn requires that sufficient statistics exist for the parameters, from which the Rasch model follows. Rather than using a statistical argument, the present paper presents a derivation of the Rasch model based on the requirement that the probability of inferential ordering of subjects (or items, resp.) is sample independent. The derivation parallels Ducamp & Falmagne's axiomatization of the Guttman scale (composite measurement); it is first given for the ordering of two items or subjects, and subsequently generalized to the probability of a multiple ordering. The core equation in the derivation is, of course, not different from the core equation in the statistical derivation." @default.
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- W48643126 date "1984-01-01" @default.
- W48643126 modified "2023-09-26" @default.
- W48643126 title "A New Derivation of the Rasch Model" @default.
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- W48643126 doi "https://doi.org/10.1016/s0166-4115(08)62094-4" @default.
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