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A Bayesian Analysis of Rasch's Multiplicative Poisson Model for Misreadings NICHD

Author(s):
Owen, Roger J.
Publication Year:
1969
Report Number:
RB-69-64
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
24
Subject/Key Words:
National Institute for Child Health and Human Development (NICHD), Bayesian Statistics, Mathematical Models, Oral Reading, Rasch Model, Reading Tests, Scoring, Statistical Analysis, Test Design

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.

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