Model checking for parametric regressions with response missing at random

Xu Guo, Wangli Xu, Lixing ZHU*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

This paper aims at investigating model checking for parametric models with response missing at random which is a more general missing mechanism than missing completely at random. Different from existing approaches, two tests have normal distributions as the limiting null distributions no matter whether the inverse probability weight is estimated parametrically or nonparametrically. Thus, p values can be easily determined. This observation shows that slow convergence rate of nonparametric estimation does not have significant effect on the asymptotic behaviors of the tests although it may have impact in finite sample scenarios. The tests can detect the alternatives distinct from the null hypothesis at a nonparametric rate which is an optimal rate for locally smoothing-based methods in this area. Simulation study is carried out to examine the performance of the tests. The tests are also applied to analyze a data set on monozygotic twins for illustration.

Original languageEnglish
Pages (from-to)229-259
Number of pages31
JournalAnnals of the Institute of Statistical Mathematics
Volume67
Issue number2
DOIs
Publication statusPublished - Apr 2015

Scopus Subject Areas

  • Statistics and Probability

User-Defined Keywords

  • Inverse probability weight
  • Model checking
  • Response missing at random

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