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The between-community spatial residual error terms S Y,c and S X,c were assumed to follow a CAR model with elements of the weight matrix specified as the inverse of driving distance between two communities.
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In the simulations, we generate n i and ni,jas zero-mean Gaussian random variables with covariance matrices specified as above.
The structure of the correlation matrix specified is known as the Toeplitz matrix [ 54].
The working correlation matrix was specified as the exchangeable type.
The structure of the variance-covariance matrix was specified as unstructured.
The parameters of the matrix are specified as in [ 22] based on an analysis of data from the Australian Study of Health and Relationships (ASHR) [ 21].
To impose the root-LDPC structure, it is necessary simply to initialize the graph with root-check connections, which appear as the identity matrices in the parity-check matrix of the code, and to ensure no additional edge placement is made either in the identity matrices or the null matrices specified by the root-LDPC structure.
The rate matrix (2) was specified as a special case of the "discrete dependent" model in BayesTraits [ 51].
The GEE models will be based on the normal distribution with identity link, and the working covariance matrix will be specified as exchangeable.
We also created a case study matrix specifying questions, outcomes, and indicators (Appendix B).
A soft adjacency matrix specifies pair wise connection strengths and all nodes are connected.
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