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The probit link is implemented using data augmentation (Tanner and Wong 1987); this is done by introducing a latent variable (so-called liability) l i = η i + ε i and a measurement model y i = k if γ k−1 ≤ l i ≤ γ k.
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When this null hypothesis is violated, we introduce a latent variable to indicate the status of underlying hypothesis for each test.
This can be done by introducing an additional latent variable between X and Y (Lawrence, 2005): (4) The Gaussian observation noise model used for non-censored data can then be interpreted as: (5) Lawrence (2005) suggested that other noise models in the form of (6) can be used.
The distribution of the ordered categorical variable Whale (5 categories: 0,1,2,3,≥ 4) is modeled introducing a latent continuous variable (Whale*) and assuming a threshold relation.
Other models have differentiated between latent and active infected cells by introducing a new variable (w) for the latently infected cells [32 37].
The storage is then introduced as a latent variable associated with the supply rate as the manifest variable.
The Common Latent Factor technique [ 43] was also conducted by introducing an additional latent factor to the final model that was linked to all variables.
By introducing some latent variables, the conditional distributions in the posterior may be shown to be conjugate, and thus an efficient Gibbs sampler to compute the posterior distribution may be developed.
Here local dependence is taken into account by introducing new latent variables which are included in the model as random effects.
Each of these two constructs is represented by a latent variable in the model.
We hypothesize that two distinct impairments take place in RA, each represented by a latent variable in the SEM.
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