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Testing Constancy for Isotonic Regressions

Scandinavian Journal of Statistics, 2006
Abstract.  In this paper, we propose a bootstrap method for testing the constancy of an isotonic regression. The technique we develop is completely non‐parametric and enlarges the appli‐cability of the classical chi‐bar‐squared tests, which require normality assumptions. We prove that our procedure is asymptotically correct and consistent. Moreover, by
Colubi, Ana   +2 more
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Reliably Calibrated Isotonic Regression

2021
Using classifiers for decision making requires well-calibrated probabilities for estimation of expected utility. Furthermore, knowledge of the reliability is needed to quantify uncertainty. Outputs of most classifiers can be calibrated, typically by using isotonic regression that bins classifier outputs together to form empirical probability estimates.
Otto Nyberg, Arto Klami
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Additive isotonic regression models in epidemiology

Statistics in Medicine, 2000
Stone's method for assessing disease risk around a point source through isotonic regression is routinely used in spatial epidemiology. It is useful in situations where the relationship of risk with exposure (distance being commonly used as a surrogate variable) is assumed monotonic but otherwise of unknown form.
T, Morton-Jones   +4 more
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Unimodal regression via prefix isotonic regression

Computational Statistics & Data Analysis, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bayesian isotonic regression dose–response model

Journal of Biopharmaceutical Statistics, 2017
Understanding dose-response relationship is a crucial step in drug development. There are a few parametric methods to estimate dose-response curves, such as the Emax model and the logistic model. These parametric models are easy to interpret and, hence, are widely used.
Wen, Li, Haoda, Fu
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A Multivariate Version of Isotonic Regression

Biometrika, 1983
A multivariate generalization of isotonic regression is given enabling the study of statistical inference for ordered vector-valued parameters or sets of ordered parameters, including multivariate extensions of Bartholomew's \({\bar \chi}{}^ 2_ k\) and \(\bar E^ 2_ k\).
Sasabuchi, Syoichi   +2 more
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Bounded isotonic median regression

Computational Statistics & Data Analysis, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An isotonic regression algorithm

Journal of Statistical Planning and Inference, 1981
Abstract A ‘pooling sets’ type of algorithm is developed and shown to be valid for computing an isotonic regression function for a general quasi-order. The method is direct and intuitive. The algorithm works best when the quasi-order is complex and the objective function is nearly isotonic. An example is worked out in detail.
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The Isotonic Regression Framework

2003
Die Kategorisierung von stetigen Merkmalen erweist sich als eine sehr wichtige Aufgabe innerhalb statistischer Analysen, ganz besonders in der Analyse von Dosis-Wirkungs-Beziehungen. Es ist in vielen Situationen wünschenswert, sinnvolle Gruppen innerhalb der Prädiktorvariablen zu finden und zu bilden.
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