DIMTEST Enhancements and Some Parametric IRT Asymptotics

The joint consistency of item and ability parameter estimation remains a challenging problem in IRT parametric modeling. Although many simulation studies have been conducted on the item and ability parameter estimates obtained by joint maximum likelihood estimation which is implemented in LOGIST (Wingersky, Bartaon, & Lord, 1982) procedure, there is no analytical results about the asymptotic properties of these estimates in literature. A preliminary effort is made to joint consistently estimate the item and ability parameters using a new approach under some regularity conditions. It is shown that when uniformly consistent ability parameter estimates are available and used as the true ability values, consistent item parameter estimates exist in a subsequence of their MLE estimates assuming ability parameters are known.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Statistics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Gao, Furong

Contributors dc:contributor

• William Stout

• Statistics

Language dc:language

eng

Identifier

(MiAaPQ)AAI9812592

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/87416