adaptive mutiscale finitevolume...
TRANSCRIPT
![Page 1: Adaptive Mutiscale FiniteVolume Methodcontents.kocw.net/KOCW/document/2013/gacheon/Ohhyeonsuk/6.pdf구조방정식 모형. J. ő. reskog(1973) : 독립적으로 개발된 경로분석과](https://reader033.vdocuments.mx/reader033/viewer/2022041720/5e4dd459be88bb51420fae07/html5/thumbnails/1.jpg)
4. 구조방정식모델
![Page 2: Adaptive Mutiscale FiniteVolume Methodcontents.kocw.net/KOCW/document/2013/gacheon/Ohhyeonsuk/6.pdf구조방정식 모형. J. ő. reskog(1973) : 독립적으로 개발된 경로분석과](https://reader033.vdocuments.mx/reader033/viewer/2022041720/5e4dd459be88bb51420fae07/html5/thumbnails/2.jpg)
구조방정식모델의 기원
SEM Simulataneous
Equation
Modeling
Factor Analysis
경로분석 Wright(1918, 1921, 1934, 1960) : 변수 간 상관관계를 인과관계로 풀어내었으며 직접효과, 간접효과, 총효과의 추정을 제시 Haavelmo(1943) : 동시방정식 제시 요인분석 Spearman(1904), Thurstone(1947) : 체계화 및 발전 Jőreskog(1967), Jőreskog and lawley(1968) : ML approach 개발 Jőreskog and Goldberger(1972) : GLS approach 개발 Anderson and Rubin(1956), Jőreskog(1969) : 확인적 요인분석 개발 구조방정식 모형 Jőreskog(1973) : 독립적으로 개발된 경로분석과 확인적 요인분석을 통해 구조방정식 모형 개발
즉, 구조방정식 모형은 전통적 방법을 통해 개발된 방법이다.
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구조모형(structural model)
; (잠재)변수간 경로모형
SEM CFA
측정모형
Latent variable
Path Anaysis 구조모형
구조방정식 모형 확인적 요인모형 잠재변수
경로(회귀)모형
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구조방정식 모델(structural equation model)
𝛅𝛅𝟏𝟏
𝛅𝛅𝟐𝟐
𝛅𝛅𝟑𝟑
𝛅𝛅𝟒𝟒
𝒙𝒙𝟏𝟏
𝒙𝒙𝟐𝟐
𝒙𝒙𝟑𝟑
𝒙𝒙𝟒𝟒
𝝀𝝀𝟏𝟏𝒙𝒙
𝝀𝝀𝟐𝟐𝒙𝒙
𝝀𝝀𝟑𝟑𝒙𝒙
𝝀𝝀𝟒𝟒𝒙𝒙
𝝃𝝃 𝜼𝜼
𝜻𝜻 𝝀𝝀𝟏𝟏𝒚𝒚
𝝀𝝀𝟐𝟐𝒚𝒚
𝝀𝝀𝟑𝟑𝒚𝒚
𝒚𝒚𝟏𝟏
𝒚𝒚𝟐𝟐
𝒚𝒚𝟑𝟑
𝜺𝜺𝟏𝟏
𝜺𝜺𝟐𝟐
𝜺𝜺𝟑𝟑
𝚪𝚪
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측정방정식 : 꺮 𝑋𝑋 = Λ𝑥𝑥𝝃𝝃 + 𝛅𝛅𝑌𝑌 = Λ𝑦𝑦𝜼𝜼 + 𝜺𝜺
구조방정식 : 𝜼𝜼= Γ𝝃𝝃 + 𝜻𝜻
Assumptions : 오차항끼리 잠재변수와 오차껂독립
𝐸𝐸(𝛿𝛿) = 0, C𝑜𝑜𝑜𝑜(𝛿𝛿) = 𝜃𝜃𝛿𝛿 𝐸𝐸(𝜀𝜀) = 0, C𝑜𝑜𝑜𝑜(𝜀𝜀) = 𝜃𝜃𝜀𝜀 𝐸𝐸(𝜁𝜁) = 0, C𝑜𝑜𝑜𝑜 𝜁𝜁 = 𝜓𝜓
C𝑜𝑜𝑜𝑜(𝜉𝜉) = Φ
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𝑇𝑇𝑇𝑇𝑇𝑇𝑇
� =𝐶𝐶𝑜𝑜𝑜𝑜 𝑋𝑋𝑌𝑌 = 𝐶𝐶𝑜𝑜𝑜𝑜 𝑋𝑋 𝐶𝐶𝑜𝑜𝑜𝑜(𝑋𝑋,𝑌𝑌)
𝐶𝐶𝑜𝑜𝑜𝑜 𝑌𝑌,𝑋𝑋 𝐶𝐶𝑜𝑜𝑜𝑜(𝑌𝑌)
=ΦΛ𝑥𝑥Λ𝑥𝑥′ + 𝜃𝜃𝛿𝛿 Λ𝑥𝑥ΦΓΛ𝑦𝑦
Λ𝑥𝑥ΦΓΛ𝑦𝑦′ 𝜆𝜆𝑦𝑦 ΓΦΓ′ 𝜆𝜆𝑦𝑦′ + 𝜃𝜃𝜀𝜀
∑꼳 = 𝑆𝑆 𝑆𝑆∑ ~ 𝑊𝑊𝑊𝑊𝑊𝑊𝑇𝑊𝑊𝑊𝑊𝑊𝑊 분포
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• GLS • ML
모수의 추정
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※출처: 우종필(2012)
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Example
P1
E4
E1
E3
f6
f8
f9
S4 S2 S1 S3
e12 e13 e14 e15
P2
P3
P4
e16
e18
e17
e19
Eco
physical
social
d1
d2
1
1
1
1
1
1
1 1 1 1
1
1
1
0.63
0.80
0.51
0.51
0.45
0.33
0.72 0.73 0.49 0.41
0.55
0.87
0.50
0.69
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Example
※출처: 오미영, 오현숙(2012)
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구조방정식모델에서 직접효과, 간접효과, 총효과
총효과
(total effect)
직접효과
(direct effect)
간접효과
(indirect effect)
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Example
parameter direct
effects
indirect
effects
total
effects
by
A.media
by
K.media
by
both
independent→assimilation 0.051 0.174 -0.002 0.172 0.223
independent→integration 0.271 0.139 -0.002 0.137 0.408
independent→separation 0 -0.149 0.003 -0.146 -0.146
interdependent→assimilation 0 -0.063 -0.019 -0.082 -0.082
interdependent→integration 0 -0.050 -0.013 -0.068 -0.068
interdependent→separation 0.450 0.054 0.032 0.086 0.536