On an identity between the Gaussian and Rasch measurement error distributions: Making the role of the instrument explicit

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Abstract

The paper shows an identity between the Gaussian error distribution of replicated measurements and the Rasch model error distribution of inferred, replicated assessments in ordered categories when the thresholds defining the categories are equidistant. The paper concludes by articulating three senses in which the discrete Rasch distribution, in which the role of the instrument is made explicit as it is in modern physics, can be seen as a generalisation of the continuous Gaussian distribution.

Original languageEnglish
Article number072001
JournalJournal of Physics: Conference Series
Volume1065
Issue number7
DOIs
Publication statusPublished - 13 Nov 2018
Event22nd World Congress of the International Measurement Confederation, IMEKO 2018 - Belfast, United Kingdom
Duration: 3 Sep 20186 Sep 2018

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normal density functions
physics
thresholds

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