• Title/Summary/Keyword: latent variable

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Investigating Students' Profiles of Mathematical Modeling: A Latent Profile Analysis in PISA 2012

  • SeoJin Jeong;Jihyun Hwang;Jeong Su Ahn
    • Research in Mathematical Education
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    • v.26 no.3
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    • pp.235-252
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    • 2023
  • We investigated the classification of learner groups for students' mathematical modeling competency and analyzed the characteristics in each profile group for each country and variable using PISA 2012 data from six countries. With a perspective on measuring sub-competency, we applied the latent profile analysis method to student achievement for mathematical modeling variables - Formulate, Employ, Interpret. The findings showed the presence of 4-6 profile groups, with the variables exhibiting high and low achievement within each profile group varying by country, and a hierarchical structure was observed in the profile group distribution in all countries, interestingly, the Formulate variable showed the largest difference between high-achieving and low-achieving profile groups. These results have significant implications. Comparison by country, variable, and profile group can provide valuable insights into understanding the various characteristics of students' mathematical modeling competency. The Formulate variable could serve as the most suitable predictor of a student's profile group and the score range of other variables. We suggest further studies to gain more detailed insights into mathematical modeling competency with different cultural contexts.

Analysis for the Causal Relationship of Education Quality Factors in Korea

  • Lee, Jin-Choon;Lee, Hong-Woo
    • International Journal of Quality Innovation
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    • v.6 no.2
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    • pp.147-166
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    • 2005
  • The purpose of this study is to analyze the causal relationship, in the perspective of Total Quality Management, among the education quality factors, which were suggested in the previous researches. Lee et al. [16] had tried to analyze the relationship among education factors, but they did not estimate the education factor using latent variable concept, which is very reasonable and efficient to represent the constructed concepts. So this study attempts to analyze the causal relationship among education quality factors, represented as latent variables used in structural equation modeling (SEM), and compared with each other. In this study, education quality factors were measured by several measures, constructed as several latent variables, and then processed with AMOS, the most efficient statistical package in the SEM area. In order to analyze the causal relationship among the education quality factors constructed as latent variables, this study designed the structural equation model with suggested factors and established several research hypotheses. This study discovered a prominent causality among the education quality factors, such as education leadership, student scholastic performance and satisfaction of education quality, which is similar to that of previous research. This outcome is really a unique Korean syndrome manifest within our educational career orientation.

Non-Conservatism of Bonferroni-Adjusted Test

  • Jeon, Cyeong-Bae;Lee, Sung-Duck
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.219-227
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    • 2001
  • Another approach (multi-parameter measurement method) of interlaboratory studies of test methods is presented. When the unrestricted normal likelihood for the fixed latent variable model is unbounded, we propose a me쇙 of restricting the parameter space by formulating realistic alternative hypothesis under which the likelihood is bounded. A simulation study verified the claim of conservatism of level of significance based on assumptions about central chi-square distributed test statistics and on Bonferroni approximations. We showed a randomization approach that furnished empirical significance levels would be better than a Bonferroni adjustment.

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Variable selection for latent class analysis using clustering efficiency (잠재변수 모형에서의 군집효율을 이용한 변수선택)

  • Kim, Seongkyung;Seo, Byungtae
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.721-732
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    • 2018
  • Latent class analysis (LCA) is an important tool to explore unseen latent groups in multivariate categorical data. In practice, it is important to select a suitable set of variables because the inclusion of too many variables in the model makes the model complicated and reduces the accuracy of the parameter estimates. Dean and Raftery (Annals of the Institute of Statistical Mathematics, 62, 11-35, 2010) proposed a headlong search algorithm based on Bayesian information criteria values to choose meaningful variables for LCA. In this paper, we propose a new variable selection procedure for LCA by utilizing posterior probabilities obtained from each fitted model. We propose a new statistic to measure the adequacy of LCA and develop a variable selection procedure. The effectiveness of the proposed method is also presented through some numerical studies.

Analysis of Virus Types by a Latent Variable Model (Latent variable model에 의한 바이러스 유형 분석)

  • Kim Soo-Jin;Joung Je-Gun;Tae Kang Soo;Zhang Byoung-Tak
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.11b
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    • pp.262-264
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    • 2005
  • 인유두종 바이러스(Human Papillomavirus: HPV)는 사마귀로부터 생식기 및 배설기의 침윤성 암에 이르기까지 여러 질병과 연관되어 있음이 알려져 있다. 현재 200종 이상이 알려져 있고, 이 중 85개는 전체 유전자가 밝혀져 있다. HPV 감염 시 만들어지는 단백질 중 E6. E7 단백질은 암 억제 유전자(p53, pRb)에 결합하여 세포의 암 억제 기능을 저하시키고 이로 인해 암을 발생시킨다. 본 논문은 암 발생과 밀접한 관련이 있는 HPV의 E6 단백질 서열과 HPV 유형(HPV Type)을 가지고, PLSA (Probabilistic Latent Semantic Analysis) 방법을 이용하여 HPV를 클러스터링(clustering) 해 보았다. 실험 결과, 특정 클러스터는 질병과 밀접하게 연관되어 있으며, 이와 관련된 주요 서열 분석이 가능함을 보여주고 있다.

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Discovery of Association Rules Using Latent Variables

  • Park, Hee-Chang;Cho, Kwang-Hyun
    • 한국데이터정보과학회:학술대회논문집
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    • 2005.10a
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    • pp.177-188
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    • 2005
  • Association rule mining searches for interesting relationships among items in a given large data set. Association rules are frequently used by retail stores to assist in marketing, advertising, floor placement, and inventory control. There are three primary threshold measures in association rule; support and confidence and lift. In the case of appling real world to association rules, we have some difficulties in data interpretation because we obtain many rules. In this paper, we develop the model of association rules using latent variables for environmental survey data.

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A Study on the Management of Railway Safety Culture (철도안전경영이념화를 위한 연구)

  • Bhang Youn-Keun;Bae Joon-Hwan
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.1588-1594
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    • 2004
  • This study discovers the variables in the railway safety management which give impacts to safety cognition of the employees. Next we do factor analysis to find out latent variables which include safety variables and regression analysis to measure the explanation power of the latent variables. We got the results that expertness latent variable explains the variation of the accidents more than other latest variables

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Discovery of Association Rules Using Latent Variables

  • Park, Hee-Chang;Cho, Kwang-Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.149-160
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    • 2006
  • Association rule mining searches for interesting relationships among items in a given large data set. Association rules are frequently used by retail stores to assist in marketing, advertising, floor placement, and inventory control. There are three primary threshold measures in association rule; support and confidence and lift. In the case of appling real world to association rules, we have some difficulties in data interpretation because we obtain many rules. In this paper, we develop the model of association rules using latent variables for environmental survey data.

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An Analysis of Traffic Accident Injury Severity for Elderly Driver on Goyang-Si using Structural Equation Model (구조방정식을 이용한 고령운전자 교통사고 인적 피해 심각도 분석 (고양시를 중심으로))

  • Kim, Soullam;Yun, Duk Geun
    • International Journal of Highway Engineering
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    • v.17 no.3
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    • pp.117-124
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    • 2015
  • PURPOSES : The purpose of this study is to verify traffic accident injury severity factors for elderly drivers and the relative relationship of these factors. METHODS : To verify the complicated relationship among traffic accident injury severity factors, this study employed a structural equation model (SEM). To develop the SEM structure, only the severity of human injuries was considered; moreover, the observed variables were selected through confirmatory factor analysis (CFA). The number of fatalities, serious injuries, moderate injuries, and minor injuries were selected for observed variables of severity. For latent variables, the accident situation, environment, and vehicle and driver factors were respectively defined. Seven observed variables were selected among the latent variables. RESULTS : This study showed that the vehicle and driver factor was the most influential factor for accident severity among the latent factors. For the observed variable, the type of vehicle, type of accident, and status of day or night for each latent variable were the most relative observed variables for the accident severity factor. To verify the validity of the SEM, several model fitting methods, including ${\chi}^2/df$, GFI, AGFI, CFI, and others, were applied, and the model produced meaningful results. CONCLUSIONS : Based on an analysis of results of traffic accident injury severity for elderly drivers, the vehicle and driver factor was the most influential one for injury severity. Therefore, education tailored to elderly drivers is needed to improve driving behavior of elderly driver.

Combined RP/SP Model with Latent Variables (잠재변수를 이용한 RP/SP 결합모형에 관한 연구)

  • Kim, Jin-Hui;Jeong, Jin-Hyeok;Son, Gi-Min
    • Journal of Korean Society of Transportation
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    • v.28 no.4
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    • pp.119-128
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    • 2010
  • Mode choice behavior is associated with travelers' latent behavior that is an unobservable preference to travel behavior or mode characteristics. This paper specifically addresses the problem of unobservable factors, that is latent behavior, in mode choice models. Consideration of latent behavior in mode choice models reduces the errors that come from unobservable factors. In this study, the authors defined the latent variables that mean a quantitative latent behavior factors, and developed the combined RP/SP model with latent variables using the mode choice behavior survey data. The data has traveler's revealed preference of existent modes along the Han River and stated preference of new water transit on the Han River. Also, The data has travelers' latent behavior. Latent variables were defined by factor analysis using the latent behaviour data. In conclusion, it is significant that the relationship between traveler's latent behavior and mode choice behavior. In addition, the goodness-of-fit of the mode choice models with latent variables are better than the model without latent variables.