A Statistical Analysis of Independent Test Items
by Chwan-Chin Song and Chin-Chuan Lu.
Based on the classical test theory, a probability method is proposed to develop the computational formulas of difficulty index and discrimination index for independent test items. This method takes the performance of the middle group into account and may provide more information about these two indexes. By using probability generating functions, an efficient computing algorithm is also provided for obtaining both index values. A real data is given for empirical study and the results are compared with those obtained by the classical method. Discrepancies between these two methods are also discussed in this study.
: Independent test items, Difficulty index, Discrimination index, Probability generating function
Chwan-Chin Song, email@example.com
Chin-Chaun Lu, firstname.lastname@example.org
Jann-Huei Jinn, email@example.com
Ravi Khattree, firstname.lastname@example.org
READING THE ARTICLE: You can read the article in
portable document (.pdf) format (227471 bytes.)
NOTE: The content of this article is the intellectual property of the authors, who retains all rights to future publication.
This page has been accessed 1466 times since JUNE 29, 2011.
Return to the Home Page.