Description Usage Arguments Details Value Author(s) References See Also Examples

This function implements a generalized least square estimator for fixed-effects dose-response meta-analysis. It is meant to be used internally and not directly run by the users.

1 | ```
dosresmeta.fixed(Xlist, Zlist, ylist, Slist, nalist, q, nall, control, ...)
``` |

`Xlist` |
a m-dimensional list of study-specific design matrices for the fixed-effects part of the model. |

`Zlist` |
a m-dimensional list of study-specific design matrices for the random-effects part of the model. |

`ylist` |
a m-dimensional list of study-specific of vectors of estimated outcomes. |

`Slist` |
a m-dimensional list of within-study (co)variance matrices of estimated outcomes. |

`nalist` |
a m-dimensional list of k-dimensional study-specific logical vectors, identifying missing outcomes. |

`q, nall` |
numeric scalars: number of predictors, number of observations (excluding missing). |

`control` |
list of parameters for controlling the fitting process, usually internally set to default values by |

`...` |
further arguments passed to or from other methods. Currently not used. |

The estimation involves only the *p* fixed-effects coefficients. The routine is based on a standard generalized least square (GLS) algorithm
implemented in the internal function glsfit. The between-study (co)variance matrix is set to zero, so the marginal (co)variance matrix, composed only by
elements of the within-study component, is assumed as completely known. Similarly to the likelihood-based estimators implemented in
`dosresmeta.ml`

and `dosresmeta.reml`

, the computation involves Cholesky and and QR decompositions for computational stability and efficiency.

This function returns an intermediate list object, whose components are then processed by `dosresmeta.fit`

. Other components are
added later through mvmeta to finalize an object of class "`dosresmeta`

".

Alessio Crippa, alessio.crippa@ki.se

Gasparrini, A., Armstrong, B., Kenward, M. G. (2012). Multivariate meta-analysis for non-linear and other multi-parameter associations. Statistics in Medicine, 31(29), 3821-3839.

`dosresmeta`

, `dosresmeta-package`

, `dosresmeta.ml`

1 2 3 4 5 | ```
data("alcohol_crc")
## Fixed-effect dose-response model assuming linearity
dosresmeta(formula = logrr ~ dose, type = type, id = id, se = se,
cases = cases, n = peryears, data = alcohol_crc, method = "fixed")
``` |

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