Abstract
A mixed-effects regression model with a bent-cable change-point predictor is formulated to describe potential decline of cognitive function over time in the older population. For the individual trajectories, cognitive function is considered to be a latent variable measured through an item response theory model given longitudinal test data. Individual-specific parameters are defined for both cognitive function and the rate of change over time, using the change-point predictor for non-linear trends. Bayesian inference is used, where the Deviance Information Criterion and the L-criterion are investigated for model comparison. Special attention is given to the identifiability of the item response parameters. Item response theory makes it possible to use dichotomous and polytomous test items, and to take into account missing data and survey-design change during follow-up. This will be illustrated in an application where data stem from the Cambridge City over-75s Cohort Study.
Original language | English |
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Pages (from-to) | 366-387 |
Number of pages | 22 |
Journal | Statistical modelling |
Volume | 15 |
Issue number | 4 |
Early online date | 26 Nov 2014 |
DOIs | |
Publication status | E-pub ahead of print - 26 Nov 2014 |
Keywords
- bent-cable
- Change point
- cognition
- growth-curve model
- item-response theory (ITR)
- longitudinal data analysis
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Graciela Muniz Terrera
- Deanery of Clinical Sciences - Personal Chair of Aging, Health and Methods
- Centre for Clinical Brain Sciences
- Edinburgh Neuroscience
Person: Academic: Research Active