## Abstract

The model-based approach to inference from multivariate data with missing values is reviewed. Regression prediction is most useful when the covariates are predictive of the missing values and the probability of being missing, and in these circumstances predictions are particularly sensitive to model misspecification. The use of penalized splines of the propensity score is proposed to yield robust model-based inference under the missing at random (MAR) assumption, assuming monotone missing data. Simulation comparisons with other methods suggest that the method works well in a wide range of populations, with little loss of efficiency relative to parametric models when the latter are correct. Extensions to more general patterns are outlined.

Original language | English |
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Pages (from-to) | 949-968 |

Number of pages | 20 |

Journal | Statistica Sinica |

Volume | 14 |

Issue number | 3 |

Publication status | Published - 2004 Jul |

Externally published | Yes |

## Keywords

- Double robustness
- Incomplete data
- Penalized splines
- Regression imputation
- Weighting

## ASJC Scopus subject areas

- Statistics and Probability
- Statistics, Probability and Uncertainty