Estimating regression models with unknown break‐points

By Vito M. R. Muggeo. Statistics in Medicine, 2003

2,214 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ea98fdd35ca740e73e148e48df1248f210d7d879

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Citations in the corpus

segmented: An R package to Fit Regression Models with Broken-Line Relationships (2008, background): “Muggeo (2003) shows that the nonlinear term (1) has an approximate intrinsic linear representation which, to some extent, allows us to translate the problem into the standard linear framework: given an initial guess for the breakpoint, ˜ ψ say, segmented attempts to estimate model (1) by ﬁtting…”
Testing with a nuisance parameter present only under the alternative: a score-based approach with application to segmented modelling (2016, methodology): “The plots also portray the fitted segmented lines obtained via the iterative algorithm discussed in [20].”
Two Lines: A Valid Alternative to the Invalid Testing of U-Shaped Relationships With Quadratic Regressions (2018, neutral): “There is a literature examining how to set breakpoints, in segmented and interrupted regressions, seeking to fit the data as well as possible, e.g., via maximum likelihood (see e.g., Hansen, 2000; Molinari, Daures, & Durand, 2001; Muggeo, 2003; Stasinopoulos & Rigby, 1992).”
Interval estimation for the breakpoint in segmented regression: a smoothed score‐based approach (2017, methodology): “Previous proposals include confidence intervals based both on the likelihood ratio statistic (Hinkley 1971; Lerman 1980; Toms & Lesperance 2003), and on the Wald statistic using an approximate standard error for ̂ (Hinkley 1969; Feder 1975; Muggeo 2003).”
Research, part of a Special Feature on Effects of Roads and Traffic on Wildlife Populations and Landscape Function Quantifying the Road-Effect Zone: Threshold Effects of a Motorway on Anuran Populations in Ontario, Canada (2009, positive): “3 and 4), as recommended by Muggeo (2003) and Toms and Lesperence (2003).”
Shrub encroachment and vertebrate diversity: A global meta‐analysis (2018, methodology): “We therefore fitted a model with a linear and a quadratic term for shrub cover for richness, Shannon diversity, and community abundance in the metafor package and two-part piecewise regressions of Fisher’s z-transformed r on study-wide mean percentage shrub cover in R’s ‘segmented’ package (Muggeo, ”
Making AI Forget You: Data Deletion in Machine Learning (2019, methodology): “Segmented Regression Segmented (or piece-wise) linear regression is a common relaxation of canonical regression models [58, 59, 57].”
Guidelines for a graph-theoretic implementation of structural equation modeling (2012, methodology): “Duration of flooding was modeled as a proportional odds response, water conductivity as a log-linear response, Typha as a threshold response with a single changepoint (Muggeo 2003), Sphagnum as a proportional odds response, and native richness as a Poisson response.”
Closing a gap in tropical forest biomass estimation: taking crown mass variation into account in pantropical allometries (2016, methodology): “endre, 2011), segmented (Muggeo, 2003), FNN (Beygelzimer et al.”
Seismic fragility curves for structures using non-parametric representations (2017, methodology): “thus, bilinear regression is used in this case (see also [63, 64, 65] for use of a similar model). The break point in the bilinear model (Sa= 0:45g) is determined according to the method presented in [66] using the R package segmented. When PGAis used as IM, the coecient of determination of the tted”
Generalized M‐fluctuation tests for parameter instability (2007, background): “Fields of application are manifold and include, for example, finance (see e.g., Andreou and Ghysels 2002), economics (see e.g., Stock and Watson 1996), political and social sciences (see e.g., Piehl, Cooper, Braga, and Kennedy 2003), or biostatistics and medical statistics (see e.g., Muggeo 2003).”