Symbolic computation and exact distributions of nonparametric test statistics

M.A. Wiel, van de; A. Di Bucchianico; P. Laan, van der

doi:10.1111/1467-9884.00208

Symbolic computation and exact distributions of nonparametric test statistics

M.A. Wiel, van de, A. Di Bucchianico, P. Laan, van der

Research output: Contribution to journal › Article › Academic › peer-review

15 Citations (Scopus)

Abstract

We show how to use computer algebra for computing exact distributions of nonparametric test statistics. We give several examples of nonparametric statistics with explicit probability-generating functions that can be handled this way. In particular, we give a new table of critical values of the Jonckheere–Terpstra test that extends previous tables.

Original language	English
Pages (from-to)	507-516
Journal	Journal of the Royal Statistical Society. Series D: The Statistician
Volume	48
Issue number	4
DOIs	https://doi.org/10.1111/1467-9884.00208
Publication status	Published - 1999

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title = "Symbolic computation and exact distributions of nonparametric test statistics",

abstract = "We show how to use computer algebra for computing exact distributions of nonparametric test statistics. We give several examples of nonparametric statistics with explicit probability-generating functions that can be handled this way. In particular, we give a new table of critical values of the Jonckheere–Terpstra test that extends previous tables.",

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AU - Laan, van der, P.

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AB - We show how to use computer algebra for computing exact distributions of nonparametric test statistics. We give several examples of nonparametric statistics with explicit probability-generating functions that can be handled this way. In particular, we give a new table of critical values of the Jonckheere–Terpstra test that extends previous tables.

U2 - 10.1111/1467-9884.00208

DO - 10.1111/1467-9884.00208

M3 - Article

SN - 0039-0526

VL - 48

SP - 507

EP - 516

JO - Journal of the Royal Statistical Society. Series D: The Statistician

JF - Journal of the Royal Statistical Society. Series D: The Statistician

IS - 4

ER -

Symbolic computation and exact distributions of nonparametric test statistics

Abstract

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