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Empirical Bayes Estimation of Individual Growth-Curve Parameters and Their Relationship to Covariates
Abstract
The analysis of growth curves has long been important in biostatistics. Work has focused on two problems: the estimation of individual curves based on many data points, and the estimation of the mean growth curve for a group of individuals. This paper extends a recent approach that seeks to combine data from a group of individuals in order to improve the estimates of individual growth parameters. Growth is modeled as polynomial in time, and the group model is also linear, incorporating growth-related covariates into the model. The estimation used is empirical Bayes. The estimation formulas are illustrated with a set of data on rat growth, originally presented by Box (1950, Biometrics 6, 362-389).
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Citations
Cites
Bayes Estimates for the Linear Model
Lindley, D. V., & Smith, A. F. M. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00885.x · Cited by 2,025
Cited by
Early vocabulary growth: relation to language input and gender
Huttenlocher, J., Haight, W., Bryk, A., Seltzer, M., & Lyons, T. (1991) · Developmental Psychology · doi:10.1037/0012-1649.27.2.236 · Cited by 1,783
Self-citationA growth curve approach to the measurement of change.
Rogosa, D., Brandt, D., & Zimowski, M. (1982) · Psychological Bulletin · doi:10.1037//0033-2909.92.3.726 · Cited by 1,081
Random-Effects Models for Serial Observations with Binary Response
Stiratelli, R., Laird, N., & Ware, J. H. (1984) · Biometrics · doi:10.2307/2531147 · Cited by 733
Strategies for analyzing ecological momentary assessment data.
Schwartz, J. E., & Stone, A. A. (1998) · Health Psychology · doi:10.1037//0278-6133.17.1.6 · Cited by 632
Rountree, P. W., & Land, K. C. (1996) · Social Forces · doi:10.1093/sf/74.4.1353 · Cited by 580
Metadata
- Authors
- Strenio, J. F., Weisberg, H. I., & Bryk, A. S.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1983-03
- Volume
- 39
- Issue
- 1
- Pages
- 71
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W1973180707
- Cited by
- 235
- References
- 1
- FWCI
- 5.35
- Type
- journal article
- Language
- en
- Open access
- closed
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- Strenio, J. F., Weisberg, H. I., & Bryk, A. S. (1983). Empirical Bayes Estimation of Individual Growth-Curve Parameters and Their Relationship to Covariates. Biometrics. https://doi.org/10.2307/2530808
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
