Exact null distributions of distribution-free quadratic t-sample statistics

A. Di Bucchianico; M.A. van de Wiel

doi:10.1016/j.jspi.2003.09.024

Exact null distributions of distribution-free quadratic t-sample statistics

A. Di Bucchianico, M.A. van de Wiel

Mathematics

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Abstract

We present new algorithms for computing the exact distributions and p-values of quadratic t-sample distribution-free statistics of Kruskal-Wallis type. These algorithms are presented in terms of generating functions. We show that our algorithm also works for cases with ties and that it is much faster than existing algorithms. Moreover, we show how to use the results for the Kruskal-Wallis type statistics to compute the exact null distribution of the Chacko-Shorack statistic. © 2003 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1-21
Journal	Journal of Statistical Planning and Inference
Volume	127
DOIs	https://doi.org/10.1016/j.jspi.2003.09.024
Publication status	Published - 2005

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10.1016/j.jspi.2003.09.024

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title = "Exact null distributions of distribution-free quadratic t-sample statistics",

abstract = "We present new algorithms for computing the exact distributions and p-values of quadratic t-sample distribution-free statistics of Kruskal-Wallis type. These algorithms are presented in terms of generating functions. We show that our algorithm also works for cases with ties and that it is much faster than existing algorithms. Moreover, we show how to use the results for the Kruskal-Wallis type statistics to compute the exact null distribution of the Chacko-Shorack statistic. {\textcopyright} 2003 Elsevier B.V. All rights reserved.",

author = "{Di Bucchianico}, A. and {van de Wiel}, M.A.",

year = "2005",

doi = "10.1016/j.jspi.2003.09.024",

language = "English",

volume = "127",

pages = "1--21",

journal = "Journal of Statistical Planning and Inference",

issn = "0378-3758",

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T1 - Exact null distributions of distribution-free quadratic t-sample statistics

AU - Di Bucchianico, A.

AU - van de Wiel, M.A.

PY - 2005

Y1 - 2005

N2 - We present new algorithms for computing the exact distributions and p-values of quadratic t-sample distribution-free statistics of Kruskal-Wallis type. These algorithms are presented in terms of generating functions. We show that our algorithm also works for cases with ties and that it is much faster than existing algorithms. Moreover, we show how to use the results for the Kruskal-Wallis type statistics to compute the exact null distribution of the Chacko-Shorack statistic. © 2003 Elsevier B.V. All rights reserved.

AB - We present new algorithms for computing the exact distributions and p-values of quadratic t-sample distribution-free statistics of Kruskal-Wallis type. These algorithms are presented in terms of generating functions. We show that our algorithm also works for cases with ties and that it is much faster than existing algorithms. Moreover, we show how to use the results for the Kruskal-Wallis type statistics to compute the exact null distribution of the Chacko-Shorack statistic. © 2003 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.jspi.2003.09.024

DO - 10.1016/j.jspi.2003.09.024

M3 - Article

SN - 0378-3758

VL - 127

SP - 1

EP - 21

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

ER -

Exact null distributions of distribution-free quadratic t-sample statistics

Abstract

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