Various parameters that control fitting of beta regression models
using `betareg`

.

1 2 3 |

`phi` |
logical indicating whether the precision parameter
phi should be treated as a full model parameter ( |

`method` |
characters string specifying the |

`maxit` |
integer specifying the |

`trace` |
logical or integer controlling whether tracing information on
the progress of the optimization should be produced (passed to |

`hessian` |
logical. Should the numerical Hessian matrix from the |

`start` |
an optional vector with starting values for all parameters (including phi). |

`fsmaxit` |
integer specifying maximal number of additional (quasi) Fisher scoring iterations. For details see below. |

`fstol` |
numeric tolerance for convergence in (quasi) Fisher scoring. For details see below. |

`...` |
arguments passed to |

All parameters in `betareg`

are estimated by maximum likelihood
using `optim`

with control options set in `betareg.control`

.
Most arguments are passed on directly to `optim`

, and `start`

controls
how `optim`

is called.

After the `optim`

maximization, an additional (quasi) Fisher scoring
can be perfomed to further enhance the result or to perform additional bias reduction.
If `fsmaxit`

is greater than zero, this additional optimization is
performed and it converges if the threshold `fstol`

is attained
for the cross-product of the step size.

Starting values can be supplied via `start`

or estimated by
`lm.wfit`

, using the link-transformed response.
Covariances are in general derived analytically. Only if `type = "ML"`

and
`hessian = TRUE`

, they are determined numerically using the Hessian matrix
returned by `optim`

. In the latter case no Fisher scoring iterations are
performed.

The main parameters of interest are the coefficients in the linear predictor of the
model and the additional precision parameter phi which can either
be treated as a full model parameter (default) or as a nuisance parameter. In the latter case
the estimation does not change, only the reported information in output from `print`

,
`summary`

, or `coef`

(among others) will be different. See also examples.

A list with the arguments specified.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | ```
options(digits = 4)
data("GasolineYield", package = "betareg")
## regression with phi as full model parameter
gy1 <- betareg(yield ~ batch + temp, data = GasolineYield)
gy1
## regression with phi as nuisance parameter
gy2 <- betareg(yield ~ batch + temp, data = GasolineYield, phi = FALSE)
gy2
## compare reported output
coef(gy1)
coef(gy2)
summary(gy1)
summary(gy2)
``` |

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