### 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.

Original language | English |
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Pages (from-to) | 138-146 |

Journal | Technometrics |

Volume | 54 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2012 |

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## Cite this

Einmahl, J. H. J., & Gantner, M. (2012). The half-half plot.

*Technometrics*,*54*(2), 138-146. https://doi.org/10.1080/07350015.2012.657102