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Families of lines: random effects in linear regression analysis
Abstract
Laboratory experiments often involve two groups of subjects, with a linear phenomenon observed in each subject. Simple linear regression as propounded in standard textbooks is inadequate to treat this experimental design, particularly when it comes to dealing with random variation of slopes and intercepts among subjects. The author describes several techniques that can be used to compare two independent families of lines and illustrates their use with laboratory data. The methods are described tutorially, compared, and discussed in the context of more sophisticated and more naive approaches to this common data-analytic problem. Technical details are supplied in APPENDIX A.
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Cites
Random-Effects Models for Longitudinal Data
Laird, N. M., & Ware, J. H. (1982) · Biometrics · doi:10.2307/2529876 · Cited by 8,923
Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
Harville, D. A. (1977) · Journal of the American Statistical Association · doi:10.1080/01621459.1977.10480998 · Cited by 2,667
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Using Degradation Measures to Estimate a Time-to-Failure Distribution
Lu, C. J., & Meeker, W. O. (1993) · Technometrics · doi:10.1080/00401706.1993.10485038 · Cited by 1,161
O'Donnell, D. E., & Webb, K. A. (1993) · American Review of Respiratory Disease · doi:10.1164/ajrccm/148.5.1351 · Cited by 543
Mechanism by Which the Prone Position Improves Oxygenation in Acute Lung Injury
Lamm, W. J., Graham, M. M., & Albert, R. K. (1994) · American journal of respiratory and critical care medicine · doi:10.1164/ajrccm.150.1.8025748 · Cited by 486
Individual Differences in Adult Human Sleep and Wakefulness: Leitmotif for a Research Agenda
van Dongen, H. P. A., Vitellaro, K. M., & Dinges, D. F. (2005) · Sleep · doi:10.1093/sleep/28.4.479 · Cited by 339
Metadata
- Authors
- Feldman, H. A.
- Venue
- Journal of Applied Physiology
- Publisher
- American Physiological Society
- Published
- 1988-04-01
- Volume
- 64
- Issue
- 4
- Pages
- 1721-1732
- ISSN
- 0161-7567 (ISSN-L)
- 8750-7587
- 1522-1601
- OpenAlex
- W2163426512
- Cited by
- 223
- References
- 2
- FWCI
- 8.33
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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