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Structural Equation Modeling$

Natasha K. Bowen and Shenyang Guo

Print publication date: 2011

Print ISBN-13: 9780195367621

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780195367621.001.0001

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(p.202) Appendix 1 Guide to Notation used in SEM Equations, Illustrations, and Matrices

(p.202) Appendix 1 Guide to Notation used in SEM Equations, Illustrations, and Matrices

Source:
Structural Equation Modeling
Publisher:
Oxford University Press

Symbol

Name

Definition

Measurement model notation

x

x

Observed indicators of latent exogenous variables (ξ)

y

y

Observed indicators of latent endogenous variables (η)

δ

delta

Measurement errors for x-indicators

ε

epsilon

Measurement errors for y-indicators

λ

lambda

Factor loadings (coefficients) of observed indicators on latent variables

Λx

lambda x

Matrix of coefficients (factor loadings) for x-indicators;

individual matrix elements are indicated by lowercase lambda (λ)

Λy

lambda y

Matrix of coefficients (factor loadings) for y-indicators;

individual matrix elements are indicated by lowercase lambda (λ)

Θδ

theta-delta

Covariance matrix of δ (measurement errors for x-indicators);

individual matrix elements are indicated by lowercase delta (δ)

Θε

theta-epsilon

Covariance matrix of ε (measurement errors for y-indicators);

individual matrix elements are indicated by lowercase epsilon (ε)

Structural model notation

η

eta

Latent endogenous variables

ξ

xi

Latent exogenous variables

ζ

zeta

Structural error associated with latent endogenous variables (error of prediction)

B

beta

Matrix of regression coefficients for paths between latent endogenous variables;

individual matrix elements are indicated by lowercase beta (β)

Γ

gamma

Matrix of regression coefficients for paths between latent exogenous variables and latent endogenous variables;

individual matrix elements are indicated by lowercase gamma (γ)

Φ

phi

Covariance matrix of latent exogenous variables;

individual matrix elements are indicated by lowercase phi (φ)

Ψ

psi

Covariance matrix of latent errors;

individual matrix elements are indicated by lowercase psi (ψ)