Semiparametric Bayesian analysis of structural equation models with fixed covariates

Statistics in Medicine
Sik-Yum LeeXin-Yuan Song

Abstract

Latent variables play the most important role in structural equation modeling. In almost all existing structural equation models (SEMs), it is assumed that the distribution of the latent variables is normal. As this assumption is likely to be violated in many biomedical researches, a semiparametric Bayesian approach for relaxing it is developed in this paper. In the context of SEMs with covariates, we provide a general Bayesian framework in which a semiparametric hierarchical modeling with an approximate truncation Dirichlet process prior distribution is specified for the latent variables. The stick-breaking prior and the blocked Gibbs sampler are used for efficient simulation in the posterior analysis. The developed methodology is applied to a study of kidney disease in diabetes patients. A simulation study is conducted to reveal the empirical performance of the proposed approach. Supplementary electronic material for this paper is available in Wiley InterScience at http://www.mrw.interscience.wiley.com/suppmat/1097-0258/suppmat/.

References

Jan 1, 1992·Statistical Methods in Medical Research·P M Bentler, J A Stein
Sep 1, 1992·Psychological Bulletin·L T HuY Kano
May 1, 1984·The British Journal of Mathematical and Statistical Psychology·M W Browne
Apr 25, 2001·Biometrics·S Walker, B K Mallick
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
Jun 14, 2003·The British Journal of Mathematical and Statistical Psychology·Sik-Yum Lee, Xin-Yuan Song
Sep 16, 2003·Statistics in Medicine·Sik-Yum Lee, Xin-Yuan Song
Nov 25, 2003·The British Journal of Mathematical and Statistical Psychology·Irini Moustaki
Jun 3, 2004·The British Journal of Mathematical and Statistical Psychology·Xin-Yuan Song, Sik-Yum Lee
May 31, 2007·The British Journal of Mathematical and Statistical Psychology·M Knott, P Tzamourani

❮ Previous
Next ❯

Citations

Dec 2, 2008·The British Journal of Mathematical and Statistical Psychology·Ye-Mao XiaSik-Yum Lee
Jun 10, 2010·Biometrical Journal. Biometrische Zeitschrift·Xin-Yuan SongPing-Chung Leung
Aug 8, 2014·Frontiers in Psychology·Augustin Kelava, Holger Brandt
Apr 22, 2011·The British Journal of Mathematical and Statistical Psychology·Sy-Miin ChowHongtu Zhu

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.