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The role of the measurement model is to specify the relationship between a latent variable and its indicators.
As for the outer model, wherein the causal relationships between a latent variable and manifest variables as their observed indicators are specified [13] as a formative outer model [12], a latent variable is defined as a linear combination of its corresponding manifest variables [11, 12].
The inner model specifies the relations between latent variables, while the outer model specifies the relations between a latent variable and its observed indicator.
These initial results suggest a very strong association (>.8) between a latent variable derived from the four cognitive vulnerability measures and a latent variable derived from the multiple measures of N in our larger study.
The MIMIC model is a special case of structural equation model (SEM) and comprises two parts: a measurement model which defines the relations between a latent variable (a specific HRQoL domain) and its indicators (items measuring a specific HRQoL domain) and a structural model which specifies the relationships among latent variables and BMI weight status.
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Last, we examined the association between gender and disability measured as a latent variable.
This could be due to: (a) a negative variance/residual variance for a latent variable, (b) a correlation greater or equal to 1 between two latent variables, or (c) a linear dependency among more than two latent variables.
The prior knowledge of a measurement model includes two parts: (1) the prior knowledge of indicators for a latent variable and (2) the prior knowledge of the relationships between the latent variable and its indicators (Bentler and Chou 1987).
The interaction between a latent CSE variable and the manifest age variable was established using the 'XWITH' and 'TYPE = RANDoptionsinns in Mplus (Muthén and Muthén 1998 2015).
In the third step a cross-lagged model with reciprocal relations between all latent variables was tested.
A link between the latent variable and survival will also be tested.
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