Open AccessA BAYESIAN ANALYSIS OF RASCH'S MULTIPLICATIVE POISSON MODEL FOR MISREADINGS
Author(s) -
Oven Roger J.
Publication year - 1969
Publication title -
ets research bulletin series
Language(s) - English
Resource type - Journals
eISSN - 2333-8504
pISSN - 0424-6144
DOI - 10.1002/j.2333-8504.1969.tb00742.x
Subject(s) - rasch model , multiplicative function , bayesian probability , poisson distribution , statistics , polytomous rasch model , mathematics , interval (graph theory) , poisson regression , point (geometry) , econometrics , medicine , mathematical analysis , item response theory , psychometrics , combinatorics , geometry , population , environmental health
ABSTRACT A Bayesian analysis of a model for misreadings is undertaken. The model is essentially the Poisson model with multiplicative parameter structure first proposed and experimentally justified by Rasch. Conditional and unconditional posterior densities, predictive densities and reliabilities are presented. Some results for point and interval estimation and examination design are derived from the basic results.