Bayesian Diagnostics of Hidden Markov Structural Equation Models with Missing Data

Multivariate Behavioral Research
Jing-Heng CaiXinyuan Song

Abstract

Cocaine is a type of drug that functions to increase the availability of the neurotransmitter dopamine in the brain. However, cocaine dependence or abuse is highly related to an increased risk of psychiatric disorders and deficits in cognitive performance, attention, and decision-making abilities. Given the chronic and persistent features of drug addiction, the progression of abstaining from cocaine often evolves across several states, such as addiction to, moderate dependence on, and swearing off cocaine. Hidden Markov models (HMMs) are well suited to the characterization of longitudinal data in terms of a set of unobservable states, and have increasingly been used to uncover the dynamic heterogeneity in progressive diseases or activities. However, the existence of outliers or influential points may misidentify the hidden states and distort the associated inference. In this study, we develop a Bayesian local influence procedure for HMMs with latent variables in the presence of missing data. The proposed model enables us to investigate the dynamic heterogeneity of multivariate longitudinal data, reveal how the interrelationships among latent variables change from one state to another, and simultaneously conduct statistical diag...Continue Reading

References

Aug 12, 2003·Substance Use & Misuse·Chih-Ping ChouM Douglas Anglin
Jun 3, 2004·The British Journal of Mathematical and Statistical Psychology·Xin-Yuan Song, Sik-Yum Lee
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Jul 4, 2009·IEEE Transactions on Pattern Analysis and Machine Intelligence·Sotirios P ChatzisTheodora A Varvarigou
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Jun 1, 1984·IEEE Transactions on Pattern Analysis and Machine Intelligence·S Geman, D Geman
Sep 24, 2013·Journal of the American Statistical Association·Edward H IpStephen Kritchevsky
Oct 5, 2013·Psychometrika·Xin-Yuan SongEdward Hak-Sing Ip
Jun 1, 2011·Biometrika·Hongtu ZhuNiansheng Tang
Jul 1, 2013·Multivariate Behavioral Research·Sy-Miin ChowJohn J McArdle
Dec 3, 2016·Statistical Methods in Medical Research·Maria Francesca MarinoMarco Alfò

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Citations

Jun 23, 2021·Multivariate Behavioral Research·Antonello MaruottiMatteo Rizzolli

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Software Mentioned

AMOS
EQS
Windows
LISREL
Mplus

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