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Paper Abstract and Keywords
Presentation 2013-10-18 16:45
A method to estimate the complete matrix from the incomplete matrix using the EM-type IRT
Takenori Sakumura, Masakazu Tokunaga, Hideo Hirose (Kyushu Inst. of Tech.) R2013-73
Abstract (in Japanese) (See Japanese page) 
(in English) The item response theory (IRT) gives us the valuable information about the difficulties of problems as well as the abilities of students.
Although, the IRT covers the complete matrix,
the EM-type IRT can be applied to also the incomplete matrix.
This method predicts the values of the vacant elements using the observed values in the incomplete matrix.
The matrix decomposition method is another choice to make up a complete matrix from the incomplete matrix.
When the characteristics of users dominate in the matrix, the EM-type IRT has a possibility to work more effective than does the matrix decomposition method.
In this paper, we compare the prediction results between the EM-type IRT and the matrix decomposition method using the real case of the incomplete matrix.
In addition, we show the results of the convergence for the EM-type IRT.
Keyword (in Japanese) (See Japanese page) 
(in English) item response theory / incomplete matrix / EM-type IRT / / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 249, R2013-73, pp. 53-58, Oct. 2013.
Paper # R2013-73 
Date of Issue 2013-10-11 (R) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee R  
Conference Date 2013-10-18 - 2013-10-18 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To R 
Conference Code 2013-10-R 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A method to estimate the complete matrix from the incomplete matrix using the EM-type IRT 
Sub Title (in English)  
Keyword(1) item response theory  
Keyword(2) incomplete matrix  
Keyword(3) EM-type IRT  
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1st Author's Name Takenori Sakumura  
1st Author's Affiliation Kyushu Institute of Technology (Kyushu Inst. of Tech.)
2nd Author's Name Masakazu Tokunaga  
2nd Author's Affiliation Kyushu Institute of Technology (Kyushu Inst. of Tech.)
3rd Author's Name Hideo Hirose  
3rd Author's Affiliation Kyushu Institute of Technology (Kyushu Inst. of Tech.)
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Speaker Author-1 
Date Time 2013-10-18 16:45:00 
Presentation Time 25 minutes 
Registration for R 
Paper # R2013-73 
Volume (vol) vol.113 
Number (no) no.249 
Page pp.53-58 
#Pages 6 
Date of Issue 2013-10-11 (R) 

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