## Abstract

Mixed models in R (www.r-project.org) are currently usually handled with the lme4 package.

Until recently, inference (hypothesis test) in linear mixed models with lme4 was commonly based on the limiting

distribution of the likelihood ratio statistic via parametric bootstrap. A recent addition to the package is a Satterthwaite approximation of the degrees of freedom. We will illustrate the package through various examples, and discuss some directions for further developments.

References

[1] Halekoh, U., Højsgaard, S. (2014). A Kenward-Roger Approximation and Parametric Bootstrap

Methods for Tests in Linear Mixed Models The R Package pbkrtest. Journal of Statistical

Software 59, 1–32.

36

Until recently, inference (hypothesis test) in linear mixed models with lme4 was commonly based on the limiting

*χ*distribution of the likelihood ratio statistic. The pbkrtest package provides two alternatives: 1) A Kenward-Roger approximation for calculating (or estimating) the numerator degrees of freedom for an ”F-like” test statistic. 2)^{2}*p*-values based on simulating the referencedistribution of the likelihood ratio statistic via parametric bootstrap. A recent addition to the package is a Satterthwaite approximation of the degrees of freedom. We will illustrate the package through various examples, and discuss some directions for further developments.

References

[1] Halekoh, U., Højsgaard, S. (2014). A Kenward-Roger Approximation and Parametric Bootstrap

Methods for Tests in Linear Mixed Models The R Package pbkrtest. Journal of Statistical

Software 59, 1–32.

36

Original language | English |
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Publication date | 2018 |

Number of pages | 1 |

Publication status | Published - 2018 |

Event | 27th Nordic Conference in Mathematical Statistics - Dorpat Convention Centre, Tartu, Estonia Duration: 26 Jun 2018 → 29 Aug 2018 Conference number: 27 http://nordstat2018.ut.ee/ |

### Conference

Conference | 27th Nordic Conference in Mathematical Statistics |
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Number | 27 |

Location | Dorpat Convention Centre |

Country/Territory | Estonia |

City | Tartu |

Period | 26/06/2018 → 29/08/2018 |

Internet address |

## Keywords

- Kenward-Roger approximation
- parametric bootstrap
- Satterthwaite approximation