Original Article
Interval estimation for the breakpoint in segmented regression: a smoothed score‐based approach
Summary
This paper is concerned with interval estimation for the breakpoint parameter in segmented regression. We present score‐type confidence intervals derived from the score statistic itself and from the recently proposed gradient statistic. Due to lack of regularity conditions of the score, non‐smoothness and non‐monotonicity, naive application of the score‐based statistics is unfeasible and we propose to exploit the smoothed score obtained via induced smoothing. We compare our proposals with the traditional methods based on the Wald and the likelihood ratio statistics via simulations and an analysis of a real dataset: results show that the smoothed score‐like statistics perform in practice somewhat better than competitors, even when the model is not correctly specified.
Citing Literature
Number of times cited according to CrossRef: 28
- Karl Ropkins, James E. Tate, Early observations on the impact of the COVID-19 lockdown on air quality trends across the UK, Science of The Total Environment, 10.1016/j.scitotenv.2020.142374, 754, (142374), (2021).
- Leonardus van Kampenhout, Jan T. M. Lenaerts, William H. Lipscomb, Stef Lhermitte, Brice Noël, Miren Vizcaíno, William J. Sacks, Michiel R. van den Broeke, Present‐Day Greenland Ice Sheet Climate and Surface Mass Balance in CESM2, Journal of Geophysical Research: Earth Surface, 10.1029/2019JF005318, 125, 2, (2020).
- Ryosuke KONDO, Investigation of the exercise and sports life stage scale using latent rank theory潜在ランク理論を用いた運動・スポーツライフステージ尺度の検討, Taiikugaku kenkyu (Japan Journal of Physical Education, Health and Sport Sciences), 10.5432/jjpehss.19117, 65, 0, (309-324), (2020).
- Kirsten M. Ellegaard, Shota Suenami, Ryo Miyazaki, Philipp Engel, Vast Differences in Strain-Level Diversity in the Gut Microbiota of Two Closely Related Honey Bee Species, Current Biology, 10.1016/j.cub.2020.04.070, (2020).
- Jeannine H. Richards, Ingrid M. Torrez Luna, Donald M. Waller, Tree longevity drives conservation value of shade coffee farms for vascular epiphytes, Agriculture, Ecosystems & Environment, 10.1016/j.agee.2020.107025, 301, (107025), (2020).
- C.M. Hall, M. Tsutsumi, Neutral temperatures at 90 km altitude over Svalbard (78°N 16°E), 2002–2019, derived from meteor radar observations, Polar Science, 10.1016/j.polar.2020.100530, (100530), (2020).
- Jean de Dieu Tapsoba, Ching‐Yun Wang, Sahar Zangeneh, Ying Qing Chen, Methods for generalized change‐point models: with applications to human immunodeficiency virus surveillance and diabetes data, Statistics in Medicine, 10.1002/sim.8469, 39, 8, (1167-1182), (2020).
- Evan L. Kipnis, Brenda B. Bowen, Sean J. Hutchings, Scott A. Hynek, Kathleen C. Benison, Major ion geochemistry in Na-Ca-Mg-K-Cl-SO4 brines using portable X-ray fluorescence spectrometry, Chemical Geology, 10.1016/j.chemgeo.2020.119865, 558, (119865), (2020).
- Clara Inés Agudelo, Carlos Castañeda-Orjuela, Maria Cristina de Cunto Brandileone, Gabriela Echániz-Aviles, Samanta Cristine Grassi Almeida, María Noemí Carnalla-Barajas, Mabel Regueira, Sofia Fossati, Pedro Alarcón, Pamela Araya, Carolina Duarte, Jacqueline Sánchez, Mirna Novas, Gilda Toraño-Peraza, Misladys Rodríguez-Ortega, Gustavo Chamorro-Cortesi, Anibal Kawabata, Gabriela García-Gabarrot, Teresa Camou, Enza Spadola, Daisy Payares, Ana Lucía Andrade, José Luis Di Fabio, Elizabeth Castañeda, A Corso, Paula Gaguetti, Omar Veliz, C S Pereira, D Napoli, M A Moscoloni, M L L Silva e Guerra, S Bokermann, Lincoln S do Prado, U J Días, J C Hormazabal, B Rojas, S Castro, D Ibáñez, J Fernandez, O Sanabria, J Moreno, Z Alarcón, M K Rodriguez, A Bautista, L P Solis, D S Apaza, M A Capote, J M Feris, D Cedano, Araceli Soto-Noguerón, Maria E Velázquez-Meza, Margarita Hernández-Salgado, M E León, Minako Nagai, Liliana Rojas, M L Vega, G P Giffoni, V Félix, The direct effect of pneumococcal conjugate vaccines on invasive pneumococcal disease in children in the Latin American and Caribbean region (SIREVA 2006–17): a multicentre, retrospective observational study, The Lancet Infectious Diseases, 10.1016/S1473-3099(20)30489-8, (2020).
- G. Sallé, J. Guillot, J. Tapprest, N. Foucher, C. Sevin, C. Laugier, Compilation of 29 years of postmortem examinations identifies major shifts in equine parasite prevalence from 2000 onwards, International Journal for Parasitology, 10.1016/j.ijpara.2019.11.004, (2020).
- Jean-François Lemaître, Victor Ronget, Jean-Michel Gaillard, Female reproductive senescence across mammals: a high diversity of patterns modulated by life history and mating traits, Mechanisms of Ageing and Development, 10.1016/j.mad.2020.111377, (111377), (2020).
- Jack Sutton, Golnaz Shahtahmassebi, Haroldo V. Ribeiro, Quentin S. Hanley, Rural–urban scaling of age, mortality, crime and property reveals a loss of expected self-similar behaviour, Scientific Reports, 10.1038/s41598-020-74015-x, 10, 1, (2020).
- Jeankyung Kim, Hyune-Ju Kim, Applications of asymptotic inference in segmented line regression, Communications in Statistics - Theory and Methods, 10.1080/03610926.2020.1734835, (1-22), (2020).
- Michael I. Ojovan, Dmitri V. Louzguine-Luzgin, Revealing Structural Changes at Glass Transition via Radial Distribution Functions, The Journal of Physical Chemistry B, 10.1021/acs.jpcb.0c00214, (2020).
- John N. Ferguson, Lorna McAusland, Kellie E. Smith, Adam H. Price, Zoe A. Wilson, Erik H. Murchie, Rapid temperature responses of photosystem II efficiency forecast genotypic variation in rice vegetative heat tolerance, The Plant Journal, 10.1111/tpj.14956, 0, 0, (2020).
- Peter J Morley, Alistair S Jump, Martin D West, Daniel N M Donoghue, Spectral response of chlorophyll content during leaf senescence in European beech trees, Environmental Research Communications, 10.1088/2515-7620/aba7a0, 2, 7, (071002), (2020).
- Qiang Zhang, Zixuan Wu, Huiqian Yu, Xiudi Zhu, Zexi Shen, Variable Urbanization Warming Effects across Metropolitans of China and Relevant Driving Factors, Remote Sensing, 10.3390/rs12091500, 12, 9, (1500), (2020).
- Mireille A. Folkerts, Peter Bröde, W. J. Wouter Botzen, Mike L. Martinius, Nicola Gerrett, Carel N. Harmsen, Hein A. M. Daanen, Long Term Adaptation to Heat Stress: Shifts in the Minimum Mortality Temperature in the Netherlands, Frontiers in Physiology, 10.3389/fphys.2020.00225, 11, (2020).
- Beata Zarzycka, Rafał P. Bartczuk, Radosław Rybarski, Centrality of Religiosity Scale in Polish Research: A Curvilinear Mechanism that Explains the Categories of Centrality of Religiosity, Religions, 10.3390/rel11020064, 11, 2, (64), (2020).
- Uwe Franko, Elke Schulz, Carbon accumulation in a bare fallow Chernozem soil with high carbon input rates, European Journal of Soil Science, 10.1111/ejss.12937, 0, 0, (2020).
- Nicholas Panchy, Cassandra Azeredo-Tseng, Michael Luo, Natalie Randall, Tian Hong, Integrative Transcriptomic Analysis Reveals a Multiphasic Epithelial–Mesenchymal Spectrum in Cancer and Non-tumorigenic Cells, Frontiers in Oncology, 10.3389/fonc.2019.01479, 9, (2020).
- Serge Morand, Kittipong Chaisiri, Anamika Kritiyakan, Rawadee Kumlert, Disease Ecology of Rickettsial Species: A Data Science Approach, Tropical Medicine and Infectious Disease, 10.3390/tropicalmed5020064, 5, 2, (64), (2020).
- Klaus Abraham, Hans Mielke, Hermann Fromme, Wolfgang Völkel, Juliane Menzel, Matthias Peiser, Fred Zepp, Stefan N. Willich, Cornelia Weikert, Internal exposure to perfluoroalkyl substances (PFASs) and biological markers in 101 healthy 1-year-old children: associations between levels of perfluorooctanoic acid (PFOA) and vaccine response, Archives of Toxicology, 10.1007/s00204-020-02715-4, (2020).
- Christiane Scheffler, Barry Bogin, Michael Hermanussen, Catch-up growth is a better indicator of undernutrition than thresholds for stunting, Public Health Nutrition, 10.1017/S1368980020003067, (1-10), (2020).
- Kevin D. Friedland, Ryan E. Morse, Nancy Shackell, Jamie C. Tam, Janelle L. Morano, John R. Moisan, Damian C. Brady, Changing Physical Conditions and Lower and Upper Trophic Level Responses on the US Northeast Shelf, Frontiers in Marine Science, 10.3389/fmars.2020.567445, 7, (2020).
- Daniel Gillis, Brandon P.M. Edwards, The utility of joinpoint regression for estimating population parameters given changes in population structure, Heliyon, 10.1016/j.heliyon.2019.e02515, 5, 11, (e02515), (2019).
- D. V. Louzguine-Luzgin, M. Miyama, K. Nishio, A. A. Tsarkov, A. L. Greer, Vitrification and nanocrystallization of pure liquid Ni studied using molecular-dynamics simulation, The Journal of Chemical Physics, 10.1063/1.5119307, 151, 12, (124502), (2019).
- Zilu Liang, Mario Alberto Chapa Martell, undefined, 2019 IEEE International Conference on Pervasive Computing and Communications Workshops (PerCom Workshops), 10.1109/PERCOMW.2019.8730805, (777-782), (2019).
