Jones, M. C. and Daly, F
(1995).
*Communications in Statistics - Simulation and Computation*, 24(4) pp. 911–927.

DOI (Digital Object Identifier) Link: | https://doi.org/10.1080/03610919508813284 |
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Google Scholar: | Look up in Google Scholar |

## Abstract

Probability plots are popular and effective tools for the graphical assessment of the goodness-of-fit of a given dataset to a hypothesised probability distribution, F say, with density f. The user can easily see any departures from F that there are, but the interpretation of such departures may not be immediately apparent. (It may take some time to work out their meaning, or else to resort to a set of rules for the interpretation of probability plots.) We investigate whether instant interpretability of these tools can be aided by a simple transformation which transfers visual assessment to the realms of familiar and immediate comparisons between densities. We seek to do so <i>without smoothing</>, and see how far this allows us to go. The idea is very effective, and rather more so than quantile-quantile plots, for f's that have a single peak when the density g from which the data truly come is also unimodal. The idea is much less appealing, however, when f and g have different modalities from each other.

Item Type: | Journal Item |
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Copyright Holders: | Communications in Statistics - Simulation and Computation |

ISSN: | 1532-4141 |

Keywords: | goodness-of-fit; graphics; interpretability; P-P plots; Q-Q plots |

Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |

Item ID: | 28217 |

Depositing User: | Sarah Frain |

Date Deposited: | 29 Mar 2011 11:20 |

Last Modified: | 04 Oct 2016 11:01 |

URI: | http://oro.open.ac.uk/id/eprint/28217 |

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