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     Research Journal of Applied Sciences, Engineering and Technology


A Novel Validity Index for Evaluating the Item Ordering Structure Based on Q-matrix Theory

Hsiang-Chuan Liu
Department of Biomedical Informatics, Asia University, 41354, Taiwan Graduate Institute of Educational Measurement and Statistics, National Taichung University of Education, 40306, Taiwan, Tel.: 886-2-29096938
Research Journal of Applied Sciences, Engineering and Technology  2013  1:53-56
http://dx.doi.org/10.19026/rjaset.6.4033  |  © The Author(s) 2013
Received: September 14, 2012  |  Accepted: October 19, 2012  |  Published: June 05, 2013

Abstract

Before then, no validity index can be used for evaluating the item ordering structure for cognition diagnosis. In this study, based on the Q-matrix theory, an ideal item ordering structure without slip and guess for an efficient test is proposed by using the set containing relation operation. It can be viewed as a criterion of the item ordering structure for a given test. Furthermore, a novel criterion-related validity index for evaluating the item ordering structure of any item ordering algorithm is proposed, it is more useful for cognition diagnosis.

Keywords:

Efficient item, item relational structure theory, ordering theory, Q-matrix, validity index,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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