### Abstract

A proper probability distribution for estimating a quantile is selected by the goodness of fit tests in frequency analysis. The probability plot correlation coefficient(PPCC) test has been known as powerful and easy test among the goodness of fit tests. Generally, the PPCC test statistics are affected by significance levels, sample sizes, plotting position formulas, and shape parameters in case that a given distribution includes a shape parameter. Therefore, it is important to select an exact plotting position formula for the PPCC test statistics for a given probability distribution. After Cunnane(1978) defined the plotting position that related with the mean of data, many researches have accomplished about the plotting position formulas considered the influence of coefficients of skewness related with shape parameters. In this study, the PPCC test statistics are derived by using a plotting position formula developed from theoretical reduced variates with a term of a coefficient of skewness for the general extreme value(GEV) distribution. In addition, the PPCC test statistics are estimated by considering various sample sizes, significance levels, and shape parameters of the GEV distribution. The performance of derived PPCC test statistics is evaluated by estimating the rejection rate of population from Monte Carlo simulation.

Original language | English |
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Title of host publication | World Environmental and Water Resources Congress 2010 |

Subtitle of host publication | Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010 |

Pages | 2456-2466 |

Number of pages | 11 |

DOIs | |

Publication status | Published - 2010 Aug 2 |

Event | World Environmental and Water Resources Congress 2010: Challenges of Change - Providence, RI, United States Duration: 2010 May 16 → 2010 May 20 |

### Publication series

Name | World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010 |
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### Other

Other | World Environmental and Water Resources Congress 2010: Challenges of Change |
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Country | United States |

City | Providence, RI |

Period | 10/5/16 → 10/5/20 |

### All Science Journal Classification (ASJC) codes

- Water Science and Technology

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## Cite this

*World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010*(pp. 2456-2466). (World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010). https://doi.org/10.1061/41114(371)253