Internal function called by function zoib; Fits a fixed-effects beta regression a response variable bounded within (0, 1].

1 2 | ```
fixed1(y, n, xmu.1, p.xmu, xsum.1, p.xsum, x1.1, p.x1, prior1, prec.int, prec.DN,
lambda.L1, lambda.L2, lambda.ARD, link, n.chain,inits, seed)
``` |

`y` |
A univariate response variable 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 link function. |

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

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

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

`x1.1` |
Design matrix associated with the fixed effects in linear predictor of the g(Pr(y=1)), where g() is link function. |

`p.x1` |
Number of columns in x1.1. |

`prior1` |
Internally generated data (a vector of dimension 4). Prior choice for the regression coefficients in each of the 4 linear predictors of the 4 link functions. |

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

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

`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. |

`link` |
Internally generated variable containing the information on the choice of link functions 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`

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