Topic
Latent variable model
About: Latent variable model is a research topic. Over the lifetime, 3589 publications have been published within this topic receiving 235061 citations.
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TL;DR: In this article, two models, the mixed Markov and the latent Markov model, are presented, which can be seen as generalizations of Lazarsfeld's latent class model.
94 citations
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TL;DR: A latent distribution model is presented that includes parameters that characterize bias, category definitions, and measurement error for each rater or test and provides a general approach for mixture analysis using two or more ordered-caregory measures.
Abstract: This article presents a latent distribution model for the analysis of agreement on dichotomous or ordered category ratings. The model includes parameters that characterize bias, category definitions, and measurement error for each rater or test. Parameter estimates can be used to evaluate rater performance and to improve classification or measurement with use of multiple ratings. A simple maximum likelihood estimation procedure is described. Two examples illustrate the approach. Although considered in the context of analyzing rater agreement, the model provides a general approach for mixture analysis using two or more ordered-caregory measures.
94 citations
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TL;DR: A joint model based on a latent class approach is proposed to explore the association between correlated longitudinal quantitative markers and a time-to-event to describe profiles of cognitive decline in the elderly and their associated risk of dementia.
94 citations
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04 Apr 2014
TL;DR: In this article, the link between the unobserved latent score and the observed scale score is shown to be an indirect one, and it is shown that the scale score can be used as a proxy for the unobservable latent score.
Abstract: Statistical models with latent variables are very popular in the social and
behavioral sciences Much of this popularity is explained by the contribution
these models make to the solution of the severe measurement problems that
have plagued these sciences Although theoretical developments have lead to
some improvement in the quality of the measurement procedures used in these
sciences, a lot is still “measurement by fiat” (Torgerson, 1958) Researchers
in these fields collect responses to sets or scales of indicator variables that are
assumed to be related to the underlying theoretical construct, and use a sub
ject’s scale score as a proxy for the unobservable latent score Although most
measurement scales are used after meticulous item selection and test con
struction procedures with the aim to enhance the reliability and the validity
of the scale, the problem still remains that the link between the unobserved
latent score and the observed scale score is an indirect one
93 citations
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TL;DR: In this paper, an m-way cross-classification table (for m = 3, 4, …) of m dichotomous variables that describes (1) the 2m possible response patterns to a set of m questions (where the response to each question is binary), and (2) the number of individuals whose responses to the m questions can be described by a particular response pattern.
Abstract: Consider an m-way cross-classification table (for m = 3, 4, …) of m dichotomous variables that describes (1) the 2m possible response patterns to a set of m questions (where the response to each question is binary), and (2) the number of individuals whose responses to the m questions can be described by a particular response pattern, for each of the 2m possible response patterns. Consider the situation where the data in the cross-classification table are analyzed using a particular latent class model having T latent classes (for T = 2, 3, …), and where this model fits the data well. With this latent class model, it is possible to estimate, for an individual who has a particular response pattern, what is the conditional probability that this individual is in a particular latent class, for each of the T latent classes. In this article, the following question is considered: For an individual who has a particular response pattern, can we use the corresponding estimated conditional probabilities to assign this...
93 citations