A LATENT FACTOR MODEL FOR SPATIAL DATA WITH INFORMATIVE MISSINGNESS.

The Annals of Applied Statistics
Brian J Reich, Dipankar Bandyopadhyay

Abstract

A large amount of data is typically collected during a periodontal exam. Analyzing these data poses several challenges. Several types of measurements are taken at many locations throughout the mouth. These spatially-referenced data are a mix of binary and continuous responses, making joint modeling difficult. Also, most patients have missing teeth. Periodontal disease is a leading cause of tooth loss, so it is likely that the number and location of missing teeth informs about the patient's periodontal health. In this paper we develop a multivariate spatial framework for these data which jointly models the binary and continuous responses as a function of a single latent spatial process representing general periodontal health. We also use the latent spatial process to model the location of missing teeth. We show using simulated and real data that exploiting spatial associations and jointly modeling the responses and locations of missing teeth mitigates the problems presented by these data.

References

Apr 4, 1998·Journal of Periodontology·R C OliverH Löe
May 24, 2003·Biometrics·John M WilliamsonGlen A Satten
Oct 15, 2003·Biostatistics·Fujun Wang, Melanie M Wall
Apr 6, 2006·Journal of Periodontology·Ricardo Faria-AlmeidaAntonio Bascones
Jul 5, 2007·Biometrics·Caroline BeunckensCraig Mallinckrodt
Jul 21, 2007·Statistics in Medicine·John M WilliamsonDavid G Addiss
Jul 1, 2009·Journal of Periodontology·Jyotika K FernandesElizabeth H Slate
Jul 16, 2010·The Annals of Applied Statistics·Brian J Reich, Dipankar Bandyopadhyay

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Citations

Jun 4, 2013·Biometrics·Laura BoehmDipankar Bandyopadhyay
Aug 16, 2016·Journal of the Royal Statistical Society. Series C, Applied Statistics·Dipankar Bandyopadhyay, Antonio Canale
Nov 30, 2013·Journal of the American Statistical Association·Brian J ReichHoward D Bondell
Jun 1, 2010·Statistical Methods in Medical Research·Dipankar BandyopadhyayElizabeth H Slate
May 5, 2012·Statistical Methods in Medical Research·Brian J ReichMatthew J Strickland
Oct 27, 2018·Biometrics·Apurva BhingareStuart R Lipsitz
Oct 30, 2018·Biostatistics·Lin Zhang, Dipankar Bandyopadhyay
Feb 28, 2020·Statistics in Medicine·An-Ting JhuangBrian J Reich
Apr 15, 2020·Biometrical Journal. Biometrische Zeitschrift·Roberto BenedettiFederica Piersimoni
Apr 5, 2020·Statistics in Medicine·Yuliang LiYanxun Xu
Jul 16, 2010·The Annals of Applied Statistics·Brian J Reich, Dipankar Bandyopadhyay
Nov 4, 2016·The Annals of Applied Statistics·Ick Hoon JinDipankar Bandyopadhyay
Mar 31, 2021·Statistics in Medicine·Dipankar BandyopadhyayVictor H Lachos

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