The Grammar of Science: “Knots” and “Pieces”
DOI:
https://doi.org/10.59096/osir.v19i1.281011Abstract
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References
Pilgrim C. Piecewise-regression (aka segmented regression) in Python. Journal of Open Source Software. 2021:6(68);3859. doi:10.21105/joss.03859.
Kappel S. Piecewise regression: when one line simply isn’t enough [Internet]. New York: Datadog; 2017 Jul 11 [cited 2026 Feb 5]. <https://www.datadoghq.com/blog/engineering/piecewise-regression/>
Pokiya K. Piecewise linear regression [Internet]. Berlin: ResearchGate; 2022 Jan [cited: 5 Feb 2026]. 9 p. <https://www.researchgate.net/publication/357932259_Piecewise_Linear_Regression>
Kaizer A. Segmented linear regression (piecewise, changepoint, broken-line regression) [Internet]. Aurora (CO): Alex Kaizer; [cited 2026 Feb 5 Feb]. <https://www.alexkaizer.com/bios_6618/files/bios6618/W16/segmented_regression.pdf>
Gkioulekas I, Papageorgiou LG. Piecewise regression through the Akaike information criterion using mathematical programming. IFAC-Papers OnLine. 2018:51(15);730–5.
Bernal JL, Cummins S, Gasparrini A. Interrupted time series regression for the evaluation of public health interventions: a tutorial. Int J Epidemiol. 2017 Feb 1;46(1):348–55. doi:10.1093/ije/dyw098. Erratum in: Int J Epidemiol. 2020 Aug 1;49(4):1414.doi:10.1093/ije/dyaa118.
Lu K-P, Chang S-T. An advanced segmentation approach to piecewise regression models. Mathematics. 2023;11(24):4959. doi:10.3390/math11244959.
∫dw. Piecewise polynomial regression -- spline series (1/4) [Internet]. San Francisco (CA): Medium; 2024 Feb 17 [cited 2026 Feb 5]. <https://medium.com/@JiaHsi/piecewise-polynomial-regression-spline-series-1-4-cb5814707a29>
Wicklin R. Piecewise regression models and spline effects [Internet]. Cary (NC): SAS; 2017 Apr 5 [cited 2026 Feb 5]. <https://blogs.sas.com/content/iml/2017/04/05/nonsmooth-models-spline-effects.html>
Huang Q. Hands-on tutorial for piecewise linear mixed-effects models using SAS® PROC MIXED. Tallahassee (FL): LexJansen.com; [cited 2026 Feb 5]. <https://www.lexjansen.com/pharmasug-cn/2015/ST/PharmaSUG-China-2015-ST08.pdf>. Conference Proceedings: Pharmaceutical SAS Users Group China 2015; 2015 Sep 4-5; Shanghai, China.
Montgomery DC, Peck EA, Vining GG. Introduction to linear regression analysis. 6th ed. Hoboken (NJ): Wiley; 2021 Feb. 704 p.
Li Y, Li M, Zhang L. Evolutionary polynomial regression improved by regularization methods. PLoS One. 2023 Feb 17;18(2):e0282029. doi:10.1371/journal.pone.0282029.
Apurbalal S, Soumen M, Arunendu M. Piece-wise linear regression: a new approach to predict COVID-19 spreading. IOP Conf Ser Mater Sci Eng. 2021:1020(1):012017. doi:10.1088/1757-899X/1020/1/012017.
Draper NR, Smith H. Applied regression analysis. 3rd ed. Hoboken (NJ): Wiley; 1998 Apr 9. doi:10.1002/9781118625590.
Germano MF. Piecewise linear regression model. What is it and when can we use it? [Interent]. San Francisco (CA): Medium; 2021 Jan 1 [cited 2026 Feb 5]. <https://medium.com/data-science/piecewise-linear-regression-model-what-is-it-and-when-can-we-use-it-93286cfee452>
Simon L, Young D. Stat 501: Regression Methods. 8.8 Piecewise Linear Regression Models [Interntet]. University Park (PA): PennState, Eberly College of Science; [cited 2026 Feb 5]. <https://online.stat.psu.edu/stat501/lesson/8/8.8>
Verboon P, Duif M, Tuijl P. Single Case Design Analyses [Internet]. San Francisco (CA): GitLab Inc; 2024 Oct 15. Chapter 3: Piecewise regression. [cited 2026 Feb 5]; p 23–30. <https://ou-books.gitlab.io/scda---single-case-design-analyses/pwr.html>
Wilbert J, Bornert-Ringleb M, Luke T. Statistical power of piecewise regression analyses of single-case experimental studies addressing behavior problems. Front Educ. 202;7:917944. doi:10.3389/feduc.2022.917944
Vittinghoff E, Shiboski SC, Glidden DV, McCulloch CE. Regression methods in biostatistics: linear, logistic, survival, and repeated measures models. New York: Springer; 2012. doi:10.1007/978-1-4614-1353-0.
Muggeo VMR. Segmented: an R package to fit regression models with broken-line relationships. R News. 2008 May;8(1):20–25.
Kutner MH, Nachtsheim CJ, Neter J, Li W. Applied linear statistical models. 5th ed. Boston: McGraw-Hill; 2005.
Harrell FE. Regression modeling strategies. 2nd ed. New York: Springer; 2015. doi:10.1007/978-3-319-19425-7.
Zhang X, Wu K, Pan Y, Yin R, Zhang Y, Kong D, et al. Optimized segmented regression models for the transition period of intervention effects. Glob Health Res Policy. 2023 Jul 24;8(1):29. doi:10.1186/s41256-023-00312-3.
OpenAI. ChatGPT, May 6 version [Internet]. San Francisco (CA): OpenAI; 2025 [cited 2026 Feb 5]. <https://chat.openai.com>
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