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A Methodology for Improving fitness of the Latent Growth Modeling using Association Rule Mining

연관규칙을 이용한 잠재성장모형의 개선방법론

  • Cho, Yeong Bin (Department of Business Administration, Division of International Business, Konkuk Univ.) ;
  • Jun, Jae-Hoon (Department of Biomedical Engineering, College of Biomedical and Health Science, Konkuk University) ;
  • Choi, Byungwoo (Department of Business Administration, Division of International Business, Konkuk Univ.)
  • 조영빈 (건국대학교 국제비즈니스학부 경영학전공) ;
  • 전재훈 (건국대학교 ICT융합공학부 의학공학전공) ;
  • 최병우 (건국대학교 국제비즈니스학부 경영학전공)
  • Received : 2018.11.04
  • Accepted : 2019.02.20
  • Published : 2019.02.28

Abstract

The Latent Growth Modeling(LGM) is known as the typical analysis method of longitudinal data and it could be classified into unconditional model and conditional model. It is common to assume that the growth trajectory of unconditional model of LGM is linear. In the case of quasi-linear, the methodology for improving the model fitness using Sequential Pattern of Association Rule Mining is suggested. To do this, we divide longitudinal data into quintiles and extract periodic changes of the longitudinal data in each quintiles and make sequential pattern based on this periodic changes. To evaluate the effectiveness, the LGM module in SPSS AMOS was used and the dataset of the Youth Panel from 2001 to 2006 of Korea Employment Information Service. Our methodology was able to increase the fitness of the model compared to the simple linear growth trajectory.

대표적인 종단자료 분석방법인 잠재성장모형(Latent Growth Modeling)은 무조건적 모형과 조건적 모형으로 구분한다. 잠재성장모형의 무조건적 모형 성장궤적은 선형으로 가정하여 분석하는 경우가 많다. 본 연구는 선형 성장궤적으로 가정하여 모형 적합도가 미달하는 경우 연관규칙기법을 이용하여 모형 적합도를 제고하는 방법론을 제안한다. 방법론은 연관규칙 마이닝의 순차패턴(Sequential Pattern)을 사용한다. 이를 위하여 종단자료를 분위별로 나누고, 각 분위에 속한 종단자료의 기간 변화를 산출한 뒤 이를 순차 패턴 화하였다. SPSS AMOS를 이용하여 한국고용정보원의 2001년부터 6년간 조사한 청년 패널 자료로 효과성을 검증하였다. 기존 단순선형함수를 가정할 때와 비교하여 모형 적합도가 상승하는 것을 확인할 수 있었다.

Keywords

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Fig. 1. Longitudinal data characteristics

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Fig. 2. longitudinal trajectory of ‘lr_wage’ variable

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Fig. 3. Unconditional model of LGM in SPSS AMOS

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Fig. 4. 4-fractile 2-sequences association (sequential pattern) rules

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Fig. 5. 4-fractile 3-sequences association (sequential pattern) rules

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Fig. 6. 4-fractile 4-sequences association (sequential pattern) rules

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Fig. 7. 4-fractile 5-sequences and 6-sequences association (sequential pattern) rules

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Fig. 8. 5-fractile 2-sequences association (sequential pattern) rules

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Fig. 9. 5-fractile 3-sequences association (sequential pattern) rules

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Fig. 10. 5-fractile 4-sequences association (sequential pattern) rules

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Fig. 12. Conditional Model of LGM

Table 1. Model fitness of simple linear growth trajectory

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Table 2. Model fitness of derived sequential patterns vs simple linear pattern

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Table 3.Rresult of initial status and slope

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Table 4. Model fitness of Conditional Model

OHHGBW_2019_v10n2_217_t0004.png 이미지

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