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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: 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

A dissertation combing both quantitative and qualitative analyses to describe the Old Assyrian social networks, the remains of a Middle Bronze Age (IIa) merchant colony with surviving documents from 1970 to 1720 B.C.E. including a... more
Latent class analysis (LCA) and latent profile analysis (LPA) are powerful techniques that enable researchers to glean insights into “hidden” psychological experiences to create typologies and profiles to provide better-informed... more
In this invited article, Cabrera-Nguyen provides guidelines for reporting scale development and validation results. Authors' attention to these guidelines will help ensure the research reported in JSSWR is rigorous and of high quality.... more
Trajectories of prosocial behavior and physical aggression between 6 and 12 years of age were identified for a sample (N=1,025) of males. The trajectories were then used to predict school dropout and physical violence at age 17. Using a... more
Research on emotional labor focuses on how employees utilize 2 main regulation strategies—surface acting (i.e., faking one’s felt emotions) and deep acting (i.e., attempting to feel required emotions)—to adhere to emotional expectations... more
Testing for measurement invariance can be done within the context of multigroup latent class analysis. Latent class analysis can model any type of discrete level data, which makes it an obvious choice when nominal indicators are used or... more
Les fouilles récentes ont révélé la topographie des sites agglomérés de la région toulousaine aux IIe et Ier s. av. n. ère. Pour la première fois a été mise en évidence la trame urbaine de l'oppidum de Vieille-Toulouse, trame apparue... more
Simultaneous latent-class analysis across groups (SLCAG) is an extension of the standard latent class (LC) model for the examination of measurement equivalence/invariance. It can be used to compare the latent structure derived from a set... more
Being part of a delinquent group has been shown to facilitate the expression of an individual's own delinquent propensities. However, this facilitation effect has not been investigated from a developmental perspective within a population... more
A Monte Carlo approach was used to examine bias in the estimation of indirect effects and their associated standard errors. In the simulation design, (a) sample size, (b) the level of nonnormality characterizing the data, (c) the... more
This research examines empathic dispositions of 178 pre-service teachers. We analyzed open ended responses to animated narrative vignette simulations (ANVs), which served as stimulated experimental situations depicting students in victim... more
The purpose of this study was to investigate (a) the latent profiles that arise from middle and high school students' (N = 1225) reported exposure to information from the four hypothesized sources of self-efficacy; (b) the relationships... more
A common situation in the evaluation of intervention programs is the researcher’s possibility to rely on two waves of data only (i.e., pretest and posttest), which profoundly impacts on his/her choice about the possible statistical... more
The network approach to psychopathology is becoming increasingly popular. The motivation for this approach is to provide a replacement for the problematic common cause perspective and the associated latent variable model, where symptoms... more
The purpose of this study was to explore (a) the individual belief profiles that naturally arise among middle and high school science students (n = 1225); (b) the relationships between these profiles to science achievement and other... more
Background: Different developmental courses have been postulated for proactive and reactive aggression. Objective: Investigated the developmental course of proactive and reactive aggression in a large sample of adolescent boys from low... more
This paper presents a software package designed to estimate Poole and Rosenthal W-NOMINATE scores in R. The package uses a logistic regression model to analyze political choice data, usually (though not exclusively) from a legislative... more
There are many arguments for and against the use of autonomous-agents in intelligent environments. Some researchers maintain that it is of utmost importance to give complete control to users, and hence greatly restrict autonomy of agents;... more
Hsueh I-P, Jeng J-S, Lee Y, Sheu C-F, Hsieh C-L. Construct validity of the Stroke-Specific Quality of Life questionnaire in ischemic stroke patients. Arch Phys Med Rehabil 2011;92:1113-8.
This article presents a combined motivational and volitional intervention based on the theory of planned behavior aimed at promoting expansion-oriented job crafting behaviors. Participants were employees working in different companies,... more
Hsueh I-P, Jeng J-S, Lee Y, Sheu C-F, Hsieh C-L. Construct validity of the Stroke-Specific Quality of Life questionnaire in ischemic stroke patients. Arch Phys Med Rehabil 2011;92:1113-8.
This study examined the structure of posttraumatic stress disorder (PTSD) as measured by the Impact of Event Scale-Revised (IES-R; Weiss & Marmar, 1997), tested factorial invariance for samples of 235 Israeli emergency room patients and... more
We provide a comprehensive review of simple and advanced statistical analyses using an intuitive visual approach explicitly modeling Latent Variables (LV). This method can better illuminate what is assumed in each analytical method and... more
A longitudinal study with a nested preventive intervention was used to test five hypotheses generated from developmental theories of antisocial behavior. The longitudinal study followed 909 boys from their kindergarten year up to 17 years... more
Brain imaging is increasingly recognised as an intermediate phenotype to understand the complex path between genetics and behavioural or clinical phenotypes. In this context, a first goal is to propose methods to identify the part of... more
The cross-classified multiple membership latent variable regression (CCMM-LVR) model is a recent extension to the three-level latent variable regression (HM3-LVR) model which can be utilized for longitudinal data that contains individuals... more
Correlation filters are special classifiers designed for shift-invariant object recognition, which are robust to pattern distortions. The recent literature shows that combining a set of sub-filters trained based on a single or a small... more
consistently high likelihood and use frequency; and (iii) high likelihood and moderate use frequency. Covariate analyses revealed improvement in PTSD severity was associated with membership in a specific substance use trajectory, although... more
The variance in satisfaction with life can be broken down into trait- and state-like components.Weran tests to determine if a new scale for the measurement of satisfaction with life, the Steen Happiness Index (SHI), was more sensitive to... more
O objetivo deste artigo é o desenvolvimento de um modelo de mensuração dos sentimentos de legitimidade policial da população paulistana. Identificamos que, na literatura nacional a respeito das atitudes públicas sobre as autoridades... more
mean, min and max intercorrelations between the subscales of the SCL-90 and SCL-90-R from eight different studies. Studies who are listed with more than one set of data reported data from more than one sample representing distinct... more
CONTEXT: Deviant peer group involvement is strongly related to onset, aggravation, and persistence of conduct problems during adolescence. OBJECTIVE: To identify early childhood behavioral profiles that predict early-onset deviant peer... more
Study of multivariate data in situations where a variable of interest is unobservable (latent) and only measured indirectly is widely applied. Item response models are powerful tools for measurement and have been extended to incorporate... more
Understanding the mental state of other people is an important skill for intelligent agents and robots to operate within social environments. However, the mental processes involved in ‘mind-reading’ are complex. One explanation of such... more
by do Carmo and 
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In this paper, a novel technique for blind signal separation based on a combination of second order and higher order approaches is introduced. The problem of blind signal separation was solved in a wavelet domain. The main idea behind... more
by Eric Lacourse and 
1 more
Conduct problems (CP) and hyperactivity/attention problems (HAP) are thought to covary with regularity, yet few studies have examined their co-occurrence or risk factors that discriminate their trajectories beginning in early childhood.
In this paper, we propose a Gaussian process (GP) model for analysis of nonlinear time series. Formulation of our model is based on the consideration that the observed data are functions of latent variables, with the associated mapping... more
According to cognitive load theory, instructions can impose three types of cognitive load on the learner: intrinsic load, extraneous load, and germane load. Proper measurement of the different types of cognitive load can help us... more
Originating from a system theory and an input/output point of view, I introduce a new class of generalized distributions. A parametric nonlinear transformation converts a random variable X into a so-called Lambert W random variable Y,... more
This article shows how interfactor correlation is affected by error correlations. Theoretical and practical justifications for error correlations are given, and a new equivalence class of models is presented to explain the relationship... more
The major challenge of learning from multi-label data has arisen from the overwhelming size of label space which makes this problem NP-hard. This problem can be alleviated by gradually involving easy to hard tags into the learning... more
Performing actions in a timely manner is an indispensable aspect in everyday human activities. Accordingly, it has to be present in robotic systems if they are going to seamlessly interact with humans. The current work addresses the... more
The study of temporal dynamics is essential to the advance of social science. In the study of inequality, preliminary to explaining patterns in gaps between groups is the prior task of detecting those patterns. Developing a multiple... more
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