Testing for goodness rather than lack of fit of continuous probability distributions.

The vast majority of testing procedures presented in the literature as goodness-of-fit tests fail to accomplish what the term is promising. Actually, a significant result of such a test indicates that the true distribution underlying the data differs substantially from the assumed model, whereas the...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Stefan Wellek
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b218af1823904cb2b1d4a6711f5b260a
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:b218af1823904cb2b1d4a6711f5b260a
record_format	dspace
spelling	oai:doaj.org-article:b218af1823904cb2b1d4a6711f5b260a2021-12-02T20:14:44ZTesting for goodness rather than lack of fit of continuous probability distributions.1932-620310.1371/journal.pone.0256499https://doaj.org/article/b218af1823904cb2b1d4a6711f5b260a2021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0256499https://doaj.org/toc/1932-6203The vast majority of testing procedures presented in the literature as goodness-of-fit tests fail to accomplish what the term is promising. Actually, a significant result of such a test indicates that the true distribution underlying the data differs substantially from the assumed model, whereas the true objective is usually to establish that the model fits the data sufficiently well. Meeting that objective requires to carry out a testing procedure for a problem in which the statement that the deviations between model and true distribution are small, plays the role of the alternative hypothesis. Testing procedures of this kind, for which the term tests for equivalence has been coined in statistical usage, are available for establishing goodness-of-fit of discrete distributions. We show how this methodology can be extended to settings where interest is in establishing goodness-of-fit of distributions of the continuous type.Stefan WellekPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 9, p e0256499 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Stefan Wellek Testing for goodness rather than lack of fit of continuous probability distributions.
description	The vast majority of testing procedures presented in the literature as goodness-of-fit tests fail to accomplish what the term is promising. Actually, a significant result of such a test indicates that the true distribution underlying the data differs substantially from the assumed model, whereas the true objective is usually to establish that the model fits the data sufficiently well. Meeting that objective requires to carry out a testing procedure for a problem in which the statement that the deviations between model and true distribution are small, plays the role of the alternative hypothesis. Testing procedures of this kind, for which the term tests for equivalence has been coined in statistical usage, are available for establishing goodness-of-fit of discrete distributions. We show how this methodology can be extended to settings where interest is in establishing goodness-of-fit of distributions of the continuous type.
format	article
author	Stefan Wellek
author_facet	Stefan Wellek
author_sort	Stefan Wellek
title	Testing for goodness rather than lack of fit of continuous probability distributions.
title_short	Testing for goodness rather than lack of fit of continuous probability distributions.
title_full	Testing for goodness rather than lack of fit of continuous probability distributions.
title_fullStr	Testing for goodness rather than lack of fit of continuous probability distributions.
title_full_unstemmed	Testing for goodness rather than lack of fit of continuous probability distributions.
title_sort	testing for goodness rather than lack of fit of continuous probability distributions.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/b218af1823904cb2b1d4a6711f5b260a
work_keys_str_mv	AT stefanwellek testingforgoodnessratherthanlackoffitofcontinuousprobabilitydistributions
_version_	1718374666218766336

Testing for goodness rather than lack of fit of continuous probability distributions.

Ejemplares similares