Internal function to be called by function zoib. Separately models multiple (0,1)-bounded variables when there a single random variable in the linear predictors of the link functions

1 2 3 | ```
sep.1z(y, n, xmu.1, p.xmu, xsum.1, p.xsum, rid, EUID, nEU, prior1, prior2,
prior.beta, prior.Sigma, prec.int, prec.DN, lambda.L1, lambda.L2, lambda.ARD,
scale.unif, scale.halft, link, n.chain,inits, seed)
``` |

`y` |
>=2 response variables taking value from (0, 1). |

`n` |
Number of rows in the data set. |

`xmu.1` |
Design matrix associated with the fixed effects in the linear predictor of g(mean of the beta piece), where g() is a link function. |

`p.xmu` |
Number of columns in xmu.1. |

`xsum.1` |
Design matrix associated with fixed effects in linear predictor of the log(dispersion parameter of the beta piece). |

`p.xsum` |
Number of columns in xsum.1. |

`rid` |
A vector containing information on which linear predictors have a random component. |

`EUID` |
Listing of experimental unit ID for each row of the data set |

`nEU` |
Number of experimental units |

`prior1` |
A vector containing information on the prior choice for the regression coefficients in each of the 4 linear predictors of the 4 link functions. |

`prior2` |
A matrix containing information on the prior choice for the covariance structure of the random variables. |

`prior.beta` |
Prior choice for the regression coefficients in each of the 4 link functions (a vector of dim = 4). |

`prior.Sigma` |
Prior choice for the Covariance structure of the random variables. |

`prec.int` |
The precision parameter of the prior distributions (diffuse normal) of the intercepts in the linear predictors. |

`prec.DN` |
The precision parameter of the prior distributions of the regression coefficients in the linear predictors if diffuse normal prior is chosen. |

`lambda.L1` |
The scale parameter in the prior distributions of the regression coefficients in the linear predictors if the L1-like prior is chosen. |

`lambda.L2` |
The scale parameter in the prior distributions of the regression coefficients in the linear predictors if the L2-like prior is chosen. |

`lambda.ARD` |
The scale parameter in the prior distributions of the regression coefficients in the linear predictors if the ARD prior is chosen. |

`scale.unif` |
The upper bound of the uniform distribution for the standard deviation of each random variable. |

`scale.halft` |
The scale parameter of the half-Cauchy distribution for the standard deviation of each random variable. |

`link` |
A vector containing information on the choice of link function for the mean of the beta piece. |

`n.chain` |
Number of chains for the MCMC sampling. |

`inits` |
initial parameter for model parameters. |

`seed` |
seeds for results reproducibility |

Internal function. Returned values are used internally

Fang Liu (fang.liu.131@nd.edu)

See Also as `zoib`

Questions? Problems? Suggestions? Tweet to @rdrrHQ or email at ian@mutexlabs.com.

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