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Fitting piecewise linear regression functions to biological responses
Abstract
An iterative approach was achieved for fitting piecewise linear functions to nonrectilinear responses of biological variables. This algorithm is used to estimate the parameters of the two (or more) regression functions and the separation point(s) (thresholds, sensitivities) by statistical approximation. Although it is often unknown whether the response of a biological variable is adequately described by one rectilinear regression function or by piecewise linear regression function(s) with separation point(s), an F test is proposed to determine whether one regression line is the optimal fitted function. A FORTRAN-77 program has been developed for estimating the optimal parameters and the coordinates of the separation point(s). A few sets of data illustrating this kind of problem in the analysis of thermoregulation, osmoregulation, and the neuronal responses are discussed.
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Cited by
Weaver, T. E., Maislin, G., Dinges, D. F., Bloxham, T., George, C. F. P., Greenberg, H., Kader, G., Mahowald, M., Younger, J., & Pack, A. I. (2007) · Sleep · doi:10.1093/sleep/30.6.711 · Cited by 1,058
Antic, N. A., Catcheside, P., Buchan, C., Hensley, M., Naughton, M. T., Rowland, S., Williamson, B., Windler, S., & McEvoy, R. D. (2011) · Sleep · doi:10.1093/sleep/34.1.111 · Cited by 533
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Ravanelli, N., Gagnon, D., Imbeault, P., & Jay, O. (2021) · Experimental Physiology · doi:10.1113/ep088385 · Cited by 64
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Metadata
- Authors
- Vieth, E.
- Venue
- Journal of Applied Physiology
- Publisher
- American Physiological Society
- Published
- 1989-07-01
- Volume
- 67
- Issue
- 1
- Pages
- 390-396
- ISSN
- 0161-7567 (ISSN-L)
- 8750-7587
- 1522-1601
- OpenAlex
- W1923610446
- Cited by
- 188
- References
- 0
- FWCI
- 2.08
- Type
- journal article
- Language
- en
- Open access
- closed
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- Vieth, E. (1989). Fitting piecewise linear regression functions to biological responses. Journal of Applied Physiology. https://doi.org/10.1152/jappl.1989.67.1.390
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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.
