A nonlinear model with latent process for cognitive evolution using multivariate longitudinal data.

Publisher: Oxford University Press Country of Publication: England NLM ID: 0370625 Publication Model: Print Cited Medium: Print ISSN: 0006-341X (Print) Linking ISSN: 0006341X NLM ISO Abbreviation: Biometrics Subsets: MEDLINE

Publication: March 2024- : [Oxford] : Oxford University Press
Original Publication: Alexandria Va : Biometric Society

Cognition* ; Models, Psychological* ; Nonlinear Dynamics*; Aging/*psychology; Aged ; Aged, 80 and over ; Biometry ; Cohort Studies ; Data Interpretation, Statistical ; France ; Humans ; Likelihood Functions ; Linear Models ; Longitudinal Studies ; Multivariate Analysis ; Prospective Studies ; Psychometrics

Cognition is not directly measurable. It is assessed using psychometric tests, which can be viewed as quantitative measures of cognition with error. The aim of this article is to propose a model to describe the evolution in continuous time of unobserved cognition in the elderly and assess the impact of covariates directly on it. The latent cognitive process is defined using a linear mixed model including a Brownian motion and time-dependent covariates. The observed psychometric tests are considered as the results of parameterized nonlinear transformations of the latent cognitive process at discrete occasions. Estimation of the parameters contained both in the transformations and in the linear mixed model is achieved by maximizing the observed likelihood and graphical methods are performed to assess the goodness of fit of the model. The method is applied to data from PAQUID, a French prospective cohort study of ageing.

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Indexing Agency: NLM Local ID #: HALMS130040.

Date Created: 20061213 Date Completed: 20070307 Latest Revision: 20220318

20250114

PMC1930148

10.1111/j.1541-0420.2006.00573.x

17156275