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The half-half plot

Einmahl,J.H.J.
Gantner,M.
Abstract
The Half-Half (HH) plot is a new graphical method to investigate qualitatively the shape of a regression curve. The empirical HH-plot counts observations in the lower and upper quarter of a strip that moves horizontally over the scatterplot. The plot displays jumps clearly and reveals further features of the regression curve. We prove a functional central limit theorem for the empirical HH-plot, with rate of convergence 1/√n . In a simulation study, the good performance of the plot is demonstrated. The method is also applied to two case studies. The proofs and one more case study are deferred to a supplement, which is available online.
Description
Appeared earlier as CentER Discussion Paper 2009-077
Date
2012
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Research Projects
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Citation
Einmahl, J H J & Gantner, M 2012, 'The half-half plot', Technometrics, vol. 54, no. 2, pp. 138-146. https://doi.org/10.1080/07350015.2012.657102
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