Saves information from a hierarchical or double hierarchical generalized linear model analysis (R.W. Payne, Y. Lee, J.A. Nelder & M. Noh).

### Options

`MODELTYPE` = string token |
Type of model from which to save information (`mean` , `dispersion` ); default `mean` |
---|---|

`RMETHOD` = string token |
Type of residuals to save using the `RESIDUALS` parameter (`deviance` , `Pearson` , `simple` ); default `devi` |

`DMETHOD` = string token |
Method to use for the adjusted profile likelihood when calculating the likelihood statistics (`choleski` , `lrv` ); default `chol` |

`IGNOREFAILURE` = string token |
Whether to save information even if the fitting of the HGLM failed to converge (`yes` , `no` ); default `no` |

`SAVE` = pointer |
Save structure (from `HGANALYSE` ) to provide details of the analysis; if omitted, information is saved from the most recent analysis |

### Parameters

`RANDOMTERM` = formula |
Random model terms from whose analysis the information is to be saved |
---|---|

`DHGRANDOMTERM` = formula |
Random model terms in a DHGLM from whose (HGLM) analysis the information is to be saved |

`RESIDUALS` = variates |
Residuals |

`FITTEDVALUES` = variates |
Fitted values |

`LEVERAGES` = variates |
Leverages |

`ESTIMATES` = variates |
Estimates of parameters |

`SE` = variates |
Standard errors of the estimates |

`VCOVARIANCE` = symmetric matrices |
Variance-covariance matrix of each set of estimates |

`DEVIANCE` = scalars or tables |
Scaled deviances (in a table) for a mean model, or residual deviance (in a scalar) for a dispersion model |

`DF` = scalars or tables |
Residual degrees of freedom |

`ITERATIVEWEIGHTS` = variates |
Iterative weights |

`LINEARPREDICTOR` = variates |
Linear predictors |

`YADJUSTED` = variates |
Adjusted responses |

`LIKELIHOODSTATISTICS` = variates |
Likelihood statistics |

`LDF` = variates |
Numbers of fixed and random parameters in the mean and dispersion models |

### Description

`HGKEEP`

is one of several procedures with the prefix HG, which provide tools for fitting the hierarchical and double hierarchical generalized linear models (HGLMs and DHGLMs) defined by Lee & Nelder (1996, 2001, 2006) and described by Lee, Nelder & Pawitan (2006). The models are defined by the `HGFIXEDMODEL`

, `HGRANDOMMODEL`

and `HGDRANDOMMODEL`

procedures, and fitted by the `HGANALYSE`

procedure. `HGKEEP`

lets you copy information from the output into standard Genstat data structures.

The `MODELTYPE`

option indicates the model (`mean`

or `dispersion`

) from which the information is to be saved; by default this is the model for the mean (i.e. the main HGLM). The `RANDOMTERM`

parameter specifies the random term from whose analysis the information is to be saved; if this is omitted the information is for the residual term (phi). If a DHGLM has been fitted, you can save information from the HGLM that is being used as a dispersion model by setting the `DHGRANDOMTERM`

parameter to the random term concerned. The `LIKELIHOODSTATISTICS`

parameter saves the likelihood statistics (as given by the `likelihoodstatistics`

setting of the `PRINT`

option of `HGANALYSE`

and `HGDISPLAY`

). The `DMETHOD`

option controls the method used to calculate the adjusted profile likelihood during the calculation of the likelihood statistics. The default Choleski method is fastest, but the lrv method provides a more robust alternative to use if Cholesky fails. The `LDF`

parameter saves the numbers of fixed and random parameters in the mean and dispersion models. (These accompany the likelihood statistics in the output, and indicate the numbers of parameters represented by the various statistics.) The other parameters operate as in the `RKEEP`

directive except that, for a mean model, `DEVIANCE`

saves tables of scaled deviances and `DF`

saves a table with the corresponding degrees of freedom. Similarly, as in the `RKEEP`

directive, the `RMETHOD`

option indicates the type of residual to form.

By default, `HGKEEP`

will give a warning (and nothing will be saved) if the fitting of the HGLM failed to converge. Alternatively, you can set option IGNOREFAILURE=yes to save information from the final iteration.

Options: `MODELTYPE`

, `RMETHOD`

, `DMETHOD`

, `IGNOREFAILURE`

, `SAVE`

.

Parameters: `RANDOMTERM`

, `DHGRANDOMTERM`

, `RESIDUALS`

, `FITTEDVALUES`

, `LEVERAGES`

, `ESTIMATES`

, `SE`

, `VCOVARIANCE`

, `DEVIANCE`

, `DF`

, `ITERATIVEWEIGHTS`

, `LINEARPREDICTOR`

, `YADJUSTED`

, `LIKELIHOODSTATISTICS`

.

### Method

`HGKEEP`

mainly uses the `RKEEP`

directive.

### References

Lee, Y., & Nelder, J.A. (1996). Hierarchical generalized linear models (with discussion). *Journal of the Royal Statistical Society, Series B*, 58, 619-678.

Lee, Y., & Nelder, J.A. (2001). Hierarchical generalized linear models: a synthesis of generalised linear models, random-effect models and structured dispersions. *Biometrika*, 88, 987-1006.

Lee, Y. & Nelder, J.A. (2006). Double hierarchical generalized linear models (with discussion). *Appl. Statist.*, 55, 139-185.

Lee, Y., Nelder, J.A. & Pawitan, Y. (2006). *Generalized Linear Models with Random Effects: Unified Analysis via H-likelihood*. Chapman and Hall, Boca Raton.

### See also

Procedures: `HGANALYSE`

, `HGDISPLAY`

, `HGDRANDOMMODEL`

, `HGFIXEDMODEL`

, `HGFTEST`

, `HGGRAPH`

, `HGNONLINEAR`

, `HGPLOT`

, `HGPREDICT`

, `HGRANDOMMODEL`

, `HGRTEST`

, `HGSTATUS`

, `HGWALD`

.

Commands for: Regression analysis.

### Example

CAPTION 'HGKEEP example',!t(\ 'Breaking angles of cake baked from 3 recipes at 10 temperatures',\ '(Cochran & Cox, 1957, Experimental Designs, page 300).');\ STYLE=meta,plain FACTOR [NVALUES=270; LEVELS=3] Recipe & [LEVELS=15] Replicate & [LEVELS=!(175,185...225)] Temperature GENERATE Recipe,Replicate,Temperature VARIATE [NVALUES=270] Angle READ Angle 42 46 47 39 53 42 47 29 35 47 57 45 32 32 37 43 45 45 26 32 35 24 39 26 28 30 31 37 41 47 24 22 22 29 35 26 26 23 25 27 33 35 24 33 23 32 31 34 24 27 28 33 34 23 24 33 27 31 30 33 33 39 33 28 33 30 28 31 27 39 35 43 29 28 31 29 37 33 24 40 29 40 40 31 26 28 32 25 37 33 39 46 51 49 55 42 35 46 47 39 52 61 34 30 42 35 42 35 25 26 28 46 37 37 31 30 29 35 40 36 24 29 29 29 24 35 22 25 26 26 29 36 26 23 24 31 27 37 27 26 32 28 32 33 21 24 24 27 37 30 20 27 33 31 28 33 23 28 31 34 31 29 32 35 30 27 35 30 23 25 22 19 21 35 21 21 28 26 27 20 46 44 45 46 48 63 43 43 43 46 47 58 33 24 40 37 41 38 38 41 38 30 36 35 21 25 31 35 33 23 24 33 30 30 37 35 20 21 31 24 30 33 24 23 21 24 21 35 24 18 21 26 28 28 26 28 27 27 35 35 28 25 26 25 38 28 24 30 28 35 33 28 28 29 43 28 33 37 19 22 27 25 25 35 21 28 25 25 31 25 : FACPRODUCT !p(Replicate,Recipe); Batch HGFIXEDMODEL [DISTRIBUTION=gamma; LINK=reciprocal] Recipe*Temperature HGRANDOMMODEL [DISTRIBUTION=inversegamma; LINK=reciprocal] Replicate+Batch HGANALYSE Angle HGKEEP RESIDUALS=Residual; FITTEDVALUES=Fitted; LEVERAGES=Leverage;\ ESTIMATES=Estimate; SE=se;\ VCOVARIANCE=Vcovariance; DEVIANCE=Deviance; DF=df;\ ITERATIVEWEIGHTS=Iweight; LINEARPREDICTOR=Lpredictor;\ YADJUSTED=Yadjusted PRINT Angle,Residual,Fitted,Leverage,Yadjusted,Lpredictor,Iweight;\ FIELD=11 & Estimate,se & Vcovariance; FIELD=14 & Deviance,df HGKEEP RANDOMTERM=Replicate;\ RESIDUALS=Residual; FITTEDVALUES=Fitted; LEVERAGES=Leverage;\ ESTIMATES=Estimate; SE=se;\ ITERATIVEWEIGHTS=Iweight; LINEARPREDICTOR=Lpredictor;\ YADJUSTED=Yadjusted PRINT Residual,Fitted,Leverage,Yadjusted,Lpredictor,Iweight;\ FIELD=11 & Estimate,se & Deviance,df