Abstract
Psychometric growth curve modeling techniques are used to describe a person’s latent ability and how that ability changes over time based on a specific measurement instrument. However, the same instrument cannot always be used over a period of time to measure that latent ability. This is often the case when measuring traits longitudinally in children. Reasons may be that over time some measurement tools that were difficult for young children become too easy as they age resulting in floor effects or ceiling effects or both. We propose a Bayesian hierarchical model for such a scenario. Within the Bayesian model we combine information from multiple instruments used at different age ranges and having different scoring schemes to examine growth in latent ability over time. The model includes between-subject variance and within-subject variance and does not require linking item specific difficulty between the measurement tools. The model’s utility is demonstrated on a study of language ability in children from ages one to ten who are hard of hearing where measurement tool specific growth and subject-specific growth are shown in addition to a group level latent growth curve comparing the hard of hearing children to children with normal hearing.
Original language | English (US) |
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Pages (from-to) | 449-465 |
Number of pages | 17 |
Journal | Journal of Applied Statistics |
Volume | 49 |
Issue number | 2 |
DOIs | |
State | Published - 2022 |
Externally published | Yes |
Bibliographical note
Funding Information:This research was supported by NIH/National Institute on Deafness and Other Communication Disorders [grant numbers R01DC009560 and R01DC013591]. Its contents are solely the responsibility of the authors and do not necessarily represent the official views of the Centers for Disease Control and Prevention or the Department of Health and Human Services.
Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- Bayesian hierarchical models
- growth curve modeling
- language ability
- longitudinal analysis
- psychometric modeling
PubMed: MeSH publication types
- Journal Article