bibtype C - Conference Paper (international conference)
ARLID 0545875
utime 20220322101106.5
mtime 20210925235959.9
SCOPUS 85116454996
WOS 000711926000019
DOI 10.1007/978-3-030-86772-0_19
title (primary) (eng) Bayesian Networks for the Test Score Prediction: A Case Study on a Math Graduation Exam
specification
page_count 13 s.
media_type E
serial
ARLID cav_un_epca*0545874
ISBN 978-3-030-86771-3
ISSN 0302-9743
title Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2021.
page_num 255-267
publisher
place Cham
name Springer
year 2021
editor
name1 Vejnarová
name2 Jiřina
editor
name1 Wilson
name2 Nic
keyword Bayesian networks
keyword Educational testing
keyword Score prediction
keyword Efficient probabilistic inference
keyword Multidimensional IRT
keyword CP tensor decomposition
author (primary)
ARLID cav_un_auth*0329423
name1 Plajner
name2 Martin
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
full_dept Department of Decision Making Theory
country CZ
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0101228
name1 Vomlel
name2 Jiří
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2021/MTR/plajner-0545875.pdf
cas_special
project
project_id GA19-04579S
agency GA ČR
country CZ
ARLID cav_un_auth*0380558
abstract (eng) In this paper we study the problem of student knowledge level estimation. We use probabilistic models learned from collected data to model the tested students. We propose and compare experimentally several different Bayesian network models for the score prediction of student’s knowledge. The proposed scoring algorithm provides not only the expected value of the total score but the whole probability distribution of the total score. This means that confidence intervals of predicted total score can be provided along the expected value. The key that enabled efficient computations with the studied models is a newly proposed inference algorithm based on the CP tensor decomposition, which is used for the computation of the score distribution. The proposed algorithm is two orders of magnitude faster than a state of the art method. We report results of experimental comparisons on a large dataset from the Czech National Graduation Exam in Mathematics. In this evaluation the best performing model is an IRT model with one continuous normally distributed skill variable related to all items by the graded response models. The second best is a multidimensional IRT model with an expert structure of items-skills relations and a covariance matrix for the skills. This model has a higher improvement with larger training sets and seems to be the model of choice if a sufficiently large training dataset is available.
action
ARLID cav_un_auth*0414314
name ECSQARU 2021 : Symbolic and Quantitative Approaches to Reasoning with Uncertainty
dates 20210921
mrcbC20-s 20210924
place Praha
country CZ
RIV JD
FORD0 20000
FORD1 20200
FORD2 20204
reportyear 2022
num_of_auth 2
presentation_type PR
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0323622
confidential S
mrcbC86 3+4 Proceedings Paper Computer Science Artificial Intelligence|Computer Science Software Engineering|Mathematics Applied|Logic
arlyear 2021
mrcbU14 85116454996 SCOPUS
mrcbU24 PUBMED
mrcbU34 000711926000019 WOS
mrcbU63 cav_un_epca*0545874 Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2021. 978-3-030-86771-3 0302-9743 1611-3349 255 267 Cham Springer 2021 Lecture Notes in Computer Science Vol 12897
mrcbU67 Vejnarová Jiřina 340
mrcbU67 Wilson Nic 340