Structure detection of semiparametric structural equation models with Bayesian adaptive group lasso

Statistics in Medicine
Xiangnan FengXin-Yuan Song

Abstract

Structural equation models (SEMs) are widely recognized as the most important statistical tool for assessing the interrelationships among latent variables. This study develops a Bayesian adaptive group least absolute shrinkage and selection operator procedure to perform simultaneous model selection and estimation for semiparametric SEMs, wherein the structural equation is formulated using the additive nonparametric functions of observed and latent variables. We propose the use of basis expansions to approximate the unknown functions. By introducing adaptive penalties to the groups of basis expansions, the nonlinear, linear, or non-existent effects of observed and latent variables in the structural equation can be automatically detected. A simulation study demonstrates that the proposed method performs satisfactorily. This paper presents an application of revealing the observed and latent risk factors of diabetic kidney disease.

References

Sep 8, 2000·American Journal of Kidney Diseases : the Official Journal of the National Kidney Foundation·G L BakrisJ Sowers
Jan 10, 2002·International Journal of Obesity and Related Metabolic Disorders : Journal of the International Association for the Study of Obesity·P J AndersonB Tomlinson
Mar 13, 2003·Kidney International·William F KeaneUNKNOWN RENAAL Study Investigators
May 24, 2003·Biometrics·David B DunsonSamuel J Arbes
Jun 14, 2003·The British Journal of Mathematical and Statistical Psychology·Sik-Yum Lee, Xin-Yuan Song
Mar 2, 2012·Biometrics·Ruixin GuoJoseph G Ibrahim
Jun 1, 1984·IEEE Transactions on Pattern Analysis and Machine Intelligence·S Geman, D Geman
Oct 5, 2013·Psychometrika·Xin-Yuan SongEdward Hak-Sing Ip
Dec 18, 2013·Statistics in Medicine·Xinyuan SongXiangnan Feng

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Citations

Mar 9, 2017·Biometrical Journal. Biometrische Zeitschrift·Jingheng CaiLiuquan Sun
Jan 31, 2017·Computational and Mathematical Methods in Medicine·Yue FanQinke Peng
Nov 30, 2018·Statistics in Medicine·Kai KangHongtu Zhu

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