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Latent variable modeling

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Latent variable modeling is a statistical approach used to infer unobserved variables (latent variables) from observed data. It encompasses techniques such as factor analysis and structural equation modeling, allowing researchers to explore relationships between variables and account for measurement error in the analysis.
lightbulbAbout this topic
Latent variable modeling is a statistical approach used to infer unobserved variables (latent variables) from observed data. It encompasses techniques such as factor analysis and structural equation modeling, allowing researchers to explore relationships between variables and account for measurement error in the analysis.

Key research themes

1. How do latent class models characterize discrete latent structures and improve classification accuracy?

This research area focuses on the development and extension of latent class (LC) models, which posit that latent variables are categorical and classify observations into mutually exclusive latent classes. These models provide a framework to explain associations among observed variables via latent classes, useful particularly in categorical data contexts. Understanding the statistical modeling, parameter interpretation, and model fit assessment methods for LC models is crucial for effective classification and clustering applications across social sciences and related fields.

Key finding: Established the foundational framework for latent class modeling with categorical latent variables, describing local independence assumptions, use of maximum likelihood estimation, and goodness-of-fit measures via likelihood... Read more
Key finding: Outlined two fundamental LC model types for classification: supervised models that specify P(y|z) with a latent variable intervening between predictors and outcomes, and unsupervised models specifying P(z|y). Clarified... Read more
Key finding: Advanced methodologies for including latent class predictors in regression mixture models, emphasizing proper incorporation of direct covariate effects to avoid biased parameter estimates. Showed that a two-step... Read more

2. What advances exist in latent variable model estimation methods to overcome local maxima and computational challenges?

This theme addresses methodological innovations for estimating discrete latent variable (DLV) models, including latent class and hidden Markov models, which suffer from multimodality in likelihood surfaces and computational expense. Key methods include tempered expectation-maximization (EM) algorithms that explore parameter spaces more thoroughly to reach global maxima, and dimension reduction approximations facilitating tractable likelihood inference in generalized linear latent variable models (GLLVMs). Improving estimation robustness and scalability is critical for reliable inference from latent variable models, especially in high-dimensional and complex settings.

Key finding: Introduced a tempered EM algorithm designed to circumvent local maxima problems in likelihood-based estimation of discrete latent variable models (latent class and hidden Markov models). Demonstrated via simulation studies... Read more
Key finding: Proposed the Dimension Reduction Method (DRM) to approximate intractable multidimensional integrals in the marginal likelihood of generalized linear latent variable models, overcoming computational bottlenecks of traditional... Read more
Key finding: Developed a novel variable selection method (PC-simple algorithm) for high-dimensional linear models based on partial faithfulness, linking conditional independencies in regression coefficients to prune irrelevant covariates... Read more

3. How are latent variable models compared and integrated with network models and neural architectures for dimensionality reduction and data representation?

This research theme investigates the equivalences, distinctions, and hybrids between latent variable models and network models, especially in psychological and machine learning applications. It examines the interpretative differences despite statistical equivalence, proposes comparative test procedures, and develops models that integrate latent variable frameworks with modern neural network techniques to improve latent representation, supervised or semi-supervised learning, and dimensionality reduction. Such integration advances understanding of latent structures while leveraging flexible nonlinear mappings.

Key finding: Demonstrated mathematical equivalences between latent variable and network models (e.g., Ising models and multidimensional IRT) showing both can yield identical covariance structures. However, argued that equivalence at... Read more
Key finding: Presented a probabilistic contrastive latent variable model that separates shared structure between datasets from variation unique to a target set, enabling unsupervised discovery of enriched latent patterns. This framework... Read more
Key finding: Introduced a semi-supervised Gaussian process latent variable model (GP-LVM) that incorporates pairwise constraints as prior information transferred from observed space to latent space. This constrained prior allows the... Read more
Key finding: Developed a hybrid model integrating a deep neural network feature extractor with a hierarchical latent topic model to capture data group structure. Through joint discriminative training enabled by model transformation for... Read more
Key finding: Revisited variational inference for GPLVMs proposing a structured variational distribution that maintains dependencies among latent dimensions, coupled with stochastic mini-batch training and back constraints (recognition... Read more

All papers in Latent variable modeling

The study aims to explore the intricate relationships between brain activity, behavioral processes, and decision-making using structural equation modeling (SEM) techniques. While existing research has advanced our understanding of these... more
In this paper, we address the question of which potential use of a robot in a health-care environment is imagined by people that are not experts in robotics, and how these people imagine to teach new movements to a robot. We report on the... more
Traditional methods of test parameterization have been found defective in terms of assuming one score and not providing information on skills mastery profile of the examinees, in addition to non-estimation of the fourth parameter-slipping... more
The current study examines the performance of the extended unconstrained approach (EXUC) and the latent moderated structural equation modeling procedure (LMS) in situations where quadratic and interaction terms are tested simultaneously... more
A novel variable influence on projection approach for O2PLS models, named VIP O2PLS , is presented in this paper. VIP O2PLS is a model-based method for judging the importance of variables. Its cornerstone is the 2-way formalism of the... more
Introduction: This study is part of the analysis of the Latin American Integrated Market (MILA) made up of the Peruvian, Chilean and Colombian stock exchanges since 2011, and expanded in 2014 with the incorporation of Mexico. Objective:... more
The COVID-19 pandemic introduced significant disruptions and challenges to the learning environment for many post-secondary students with many shifting entirely to remote online learning. Barriers to academic success already experienced... more
Work or employee engagement might be increased through job re-design interventions such as top-down managerial interventions, bottom-up job crafting or bipolar ideals. However, there is a lack of specific under- standing how public-sector... more
1. Introduction: The Question of Neural Coherence Neuroscience frequently treats subthreshold neural activity as a localized, non-functional byproduct of membrane fluctuations. However, this perspective may overlook the possibility that... more
Background: We aimed to identify different categorical phenotypes based upon the DSM-V criteria of alcohol use disorders (AUD) among alcohol users who had at least one drink per week in the past year (n = 948). Methods: Data are from the... more
This paper unpacks the foundations of epistemology, exploring its significance in shaping both educational theory and practice. It examines how epistemological beliefs — our assumptions about the nature and certainty of knowledge —... more
We investigated the Depression→Distortion hypothesis by examining the effects of maternal depressive symptoms on cross-informant discrepancies in reports of child behavior problems and several measures of parent-child relationship. The... more
Hepatitis B virus (HBV) and hepatitis C virus (HCV) infect liver cells (hepatocytes) and are responsible for most cases of chronic liver disease. HCV/HBV co-infected patients have a greater risk of severe liver disease, cirrhosis and... more
On the one hand, the factors Gf and Gc in the Cattell-Horn-Carroll (CHC) model of intelligence are hypothesized to represent individual differences in unique psychological or biological capacities. On the other hand, they are interpreted... more
This paper presents a geometric approach to the skewed log-normal distribution, by making derivations of the key results on its mean, variance, and skewness through geometric transformations. Theorem 1 and proposition 1 offer new... more
Le présent article est une exemplification méthodologique de la méthode LMS (Latent Moderated Structural Equations) disponible dans le logiciel Mplus. Des données recueillies pour étudier la motivation d’adolescentes (n = 434) en... more
In this study, different factors affecting students’ differential equations (DEs) solving abilities were explored at pre university level. To explore main factors affecting students’ differential equations problem solving ability,... more
An extensive comment on the paper by Jonson and Taylor on the postwar experience with inflation in Australia is provided by Jerome Stein. This discussion concentrates OII the papers by Korteweg and Meltzer and by Dutton. The Korteweg and... more
The aim of this study was to understand the variation in response to alcohol use by identifying classes of alcohol users based on alcohol-dependence symptoms and to compare these classes across demographic characteristics, abuse symptoms,... more
Motivation for treatment among people with substance use problems is an important aspect of treatment success. Models for treatment motivation are widely debated. Latent Class Analysis can help to demonstrate the appropriateness of... more
O artigo busca identificar e analisar os principais fatores que impactam a confiança na polícia em Minas Gerais. Utilizou-se a pesquisa "Vitimização e Percepção de Medo em Belo Horizonte e Minas Gerais" de 2009, aplicada em 29 municípios.... more
Motivation for treatment among people with substance use problems is an important aspect of treatment success. Models for treatment motivation are widely debated. Latent Class Analysis can help to demonstrate the appropriateness of... more
The common causes (CC) approach is popular in psychopathology research, but nowadays, some experts consider this approach unfit to explain mental disorders. On the other hand, as a new approach, the network approach (NA) claims can... more
Individuals form their self-efficacy beliefs by interpreting information from four sources: mastery experience, vicarious experience, social persuasions and physiological or affective states (Bandura, 1986, 1997). Efficacy beliefs... more
Longitudinal studies typically suffer from incompleteness of data. Attrition is a major problem in studies of older persons since participants may die during the study or are too frail to participate in follow-up examinations. Attrition... more
A mixed-effects location scale model allows researchers to study within- and between-person variation in repeated measures. Key components of the model include separate variance models to study predictors of the within-person variance, as... more
In recent years, the concern for durable electrical and electronic products as well as the recovery and recycling of electrical and electronic waste has increased, simultaneously with new initiatives aimed not only at protecting the... more
Adolescent pregnancy is associated with poor foetal growth and development which increase the risk of childhood wasting and underweight. However, evidence on how young maternal age affects childhood anthropometry beyond the neonatal... more
Recently disordered gambling is reclassified as an addictive disorder which inter alia affects a little but significant proportion of adolescents. The aim of this study is to identify and assess different levels of gambling severity among... more
Esta pesquisa tem como objetivo mensuar o valor percebido em serviços de alimentação e visou quantificar o impacto do valor percebido em diferentes constructos posteriores ao consumo de serviços alimentícios no Brasil, sendo testados a... more
Some robustness questions in structural equation modeling (SEM) are introduced. Factors that affect the occurrence of nonconvergence and improper solutions are reviewed in detail. Recent research on the behaviour of estimators for... more
This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will... more
Height and body-mass index trajectories of school-aged children and adolescents from 1985 to 2019 in 200 countries and territories a pooled analysis of 2181 population-based studies with 65 million participants
In this work we derive the exact joint distribution of linear combinations of order statistics and linear combinations of their concomitants and some auxiliary variables in multivariate normal distribution. By extending the results of... more
Height and body-mass index trajectories of school-aged children and adolescents from 1985 to 2019 in 200 countries and territories a pooled analysis of 2181 population-based studies with 65 million participants
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
Despite an increasingly large body of research that focuses on the potential demand for autonomous vehicles (AVs), risk preference is an understudied factor. Given that AV technology and how it will interact with the evolving mobility... more
A small archive of texts from ancient Iraq is used to demonstrate an approach to network analysis in which traditional close reading and computational text analysis go hand-in-hand. The computational methods produce tables and graphs that... more
Prevalence of extramedical opioid analgesic use in the US is rising, yet little is known about the nature and extent of problems of dependence related to the use of these drugs. This study uses Latent Class Analysis to empirically define... more
Height and body-mass index trajectories of school-aged children and adolescents from 1985 to 2019 in 200 countries and territories a pooled analysis of 2181 population-based studies with 65 million participants
Height and body-mass index trajectories of school-aged children and adolescents from 1985 to 2019 in 200 countries and territories a pooled analysis of 2181 population-based studies with 65 million participants
St~mmay.-The present study aimed to assess the effect of psychological screening of medical inpatients using the Symptom Check List, SCL-90-R. A sample of 630 medical inpatients who were referred to a psychosomatic consultation-liaison... more
Ridder and Woutersen (2003) have shown that under a weak condition on the baseline hazard there exist root-N consistent estimators of the parameters in a semiparametric Mixed Proportional Hazard model with a parametric baseline hazard and... more
doi: medRxiv preprint NOTE: This preprint reports new research that has not been certified by peer review and should not be used to guide clinical practice.
Objective: Loneliness is associated with negative mental health outcomes and is particularly common among adolescents. Yet, little is known about the dynamics of adolescent loneliness in non-Western, low-income nations. Accordingly, we... more
Objective: Loneliness is associated with negative mental health outcomes and is particularly common among adolescents. Yet, little is known about the dynamics of adolescent loneliness in non-Western, low-income nations. Accordingly, we... more
Height and body-mass index trajectories of school-aged children and adolescents from 1985 to 2019 in 200 countries and territories a pooled analysis of 2181 population-based studies with 65 million participants
The guiding idea in this paper was to study how scientific reasoning correlates with epistemological beliefs and academic achievement. Based on the study at hand, we argue that the nature of epistemological beliefs is still more the... more
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