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Nonlinear Penalized Estimation of Tr...

Xiang, Rui.

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Nonlinear Penalized Estimation of True Q-Matrix in Cognitive Diagnostic Models.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nonlinear Penalized Estimation of True Q-Matrix in Cognitive Diagnostic Models./
作者:	Xiang, Rui.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2013,
面頁冊數:	111 p.
附註:	Source: Dissertation Abstracts International, Volume: 74-08(E), Section: B.
Contained By:	Dissertation Abstracts International74-08B(E).
標題:	Statistics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3559534
ISBN:	9781303046605

Nonlinear Penalized Estimation of True Q-Matrix in Cognitive Diagnostic Models.
Xiang, Rui.

Nonlinear Penalized Estimation of True Q-Matrix in Cognitive Diagnostic Models. - Ann Arbor : ProQuest Dissertations & Theses, 2013 - 111 p.

Source: Dissertation Abstracts International, Volume: 74-08(E), Section: B.

Thesis (Ph.D.)--Columbia University, 2013.

A key issue of cognitive diagnostic models (CDMs) is the correct identification of Q-matrix which indicates the relationship between attributes and test items. Previous CDMs typically assumed a known Q-matrix provided by domain experts such as those who developed the questions. However, misspecifications of Q-matrix had been discovered in the past studies. The primary purpose of this research is to set up a mathematical framework to estimate the true Q-matrix based on item response data. The model considers all Q-matrix elements as parameters and estimates them through EM algorithm. Two simulation designs are conducted to evaluate the feasibility and performance of the model. An empirical study is addressed to compare the estimated Q-matrix with the one designed by experts. The results show that the model performs well and is able to identify 60% to 90% of correct elements of Q-matrix. The model also indicates possible misspecifications of the designed Q-matrix in the fraction subtraction test.

ISBN: 9781303046605Subjects--Topical Terms:

517247
Statistics.

Nonlinear Penalized Estimation of True Q-Matrix in Cognitive Diagnostic Models.
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