Open AccessJOINT AND CONDITIONAL MAXIMUM LIKELIHOOD ESTIMATION FOR THE RASCH MODEL FOR BINARY RESPONSES
Author(s) -
Haberman Shelby J.
Publication year - 2004
Publication title -
ets research report series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.235
H-Index - 5
ISSN - 2330-8516
DOI - 10.1002/j.2333-8504.2004.tb01947.x
Subject(s) - rasch model , consistency (knowledge bases) , polytomous rasch model , statistics , mathematics , maximum likelihood , joint (building) , item response theory , normality , econometrics , binary number , psychometrics , arithmetic , architectural engineering , geometry , engineering
The usefulness of joint and conditional maximum‐likelihood is considered for the Rasch model under realistic testing conditions in which the number of examinees is very large and the number is items is relatively large. Conditions for consistency and asymptotic normality are explored, effects of model error are investigated, measures of prediction are estimated, and generalized residuals are developed.