A Runs Test for the Hypothesis of Symmetry with one Sided Alternative

We propose a trimmed runs test for the hypothesis of symmetry with one sided alternative, in samples coming from the generalized lambda distribution (GLD) with unknown median. We provide a method to calculate the exact distribution, showing that it is symmetric around zero and we give arguments t...

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Autor principal:	Jimmy Antonio Corzo_Salamanca, Myrian Elena Vergara_Morales, José Giovany Babativa-Márquez
Formato:	article
Lenguaje:	EN ES
Publicado:	Pontificia Universidad Javeriana 2019
Materias:	runs tests; one sided symmetry tests; power of a test. Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/6721052c5b9d4a0386ea598020e18896
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spelling	oai:doaj.org-article:6721052c5b9d4a0386ea598020e188962021-11-16T15:09:28ZA Runs Test for the Hypothesis of Symmetry with one Sided Alternative10.11144/Javeriana.SC24-2.artf0122-74832027-1352https://doaj.org/article/6721052c5b9d4a0386ea598020e188962019-04-01T00:00:00Zhttps://revistas.javeriana.edu.co/index.php/scientarium/article/view/20848https://doaj.org/toc/0122-7483https://doaj.org/toc/2027-1352We propose a trimmed runs test for the hypothesis of symmetry with one sided alternative, in samples coming from the generalized lambda distribution (GLD) with unknown median. We provide a method to calculate the exact distribution, showing that it is symmetric around zero and we give arguments to justify the approximation by means of the normal distribution. The size of the proposed test is calibrated with four symmetrical cases of the GLD and the empirical power is compared with that of some other tests for the same hypothesis, using eight asymmetrical cases of the GLD. The results show that the proposed test is unbiased in the cases used for calibration, and that the empirical power of the proposed test overtakes the empirical power of all compared tests, excepting one of them in two specific cases. Some hints are given concerning how to optimize the empirical power according to the size of the tails of the sampled distributions.Jimmy Antonio Corzo_Salamanca, Myrian Elena Vergara_Morales, José Giovany Babativa-MárquezPontificia Universidad Javerianaarticleruns tests; one sided symmetry tests; power of a test.Science (General)Q1-390ENESUniversitas Scientiarum, Vol 24, Iss 1, Pp 295-305 (2019)
institution	DOAJ
collection	DOAJ
language	EN ES
topic	runs tests; one sided symmetry tests; power of a test. Science (General) Q1-390
spellingShingle	runs tests; one sided symmetry tests; power of a test. Science (General) Q1-390 Jimmy Antonio Corzo_Salamanca, Myrian Elena Vergara_Morales, José Giovany Babativa-Márquez A Runs Test for the Hypothesis of Symmetry with one Sided Alternative
description	We propose a trimmed runs test for the hypothesis of symmetry with one sided alternative, in samples coming from the generalized lambda distribution (GLD) with unknown median. We provide a method to calculate the exact distribution, showing that it is symmetric around zero and we give arguments to justify the approximation by means of the normal distribution. The size of the proposed test is calibrated with four symmetrical cases of the GLD and the empirical power is compared with that of some other tests for the same hypothesis, using eight asymmetrical cases of the GLD. The results show that the proposed test is unbiased in the cases used for calibration, and that the empirical power of the proposed test overtakes the empirical power of all compared tests, excepting one of them in two specific cases. Some hints are given concerning how to optimize the empirical power according to the size of the tails of the sampled distributions.
format	article
author	Jimmy Antonio Corzo_Salamanca, Myrian Elena Vergara_Morales, José Giovany Babativa-Márquez
author_facet	Jimmy Antonio Corzo_Salamanca, Myrian Elena Vergara_Morales, José Giovany Babativa-Márquez
author_sort	Jimmy Antonio Corzo_Salamanca, Myrian Elena Vergara_Morales, José Giovany Babativa-Márquez
title	A Runs Test for the Hypothesis of Symmetry with one Sided Alternative
title_short	A Runs Test for the Hypothesis of Symmetry with one Sided Alternative
title_full	A Runs Test for the Hypothesis of Symmetry with one Sided Alternative
title_fullStr	A Runs Test for the Hypothesis of Symmetry with one Sided Alternative
title_full_unstemmed	A Runs Test for the Hypothesis of Symmetry with one Sided Alternative
title_sort	runs test for the hypothesis of symmetry with one sided alternative
publisher	Pontificia Universidad Javeriana
publishDate	2019
url	https://doaj.org/article/6721052c5b9d4a0386ea598020e18896
work_keys_str_mv	AT jimmyantoniocorzosalamancamyrianelenavergaramoralesjosegiovanybabativamarquez arunstestforthehypothesisofsymmetrywithonesidedalternative AT jimmyantoniocorzosalamancamyrianelenavergaramoralesjosegiovanybabativamarquez runstestforthehypothesisofsymmetrywithonesidedalternative
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A Runs Test for the Hypothesis of Symmetry with one Sided Alternative

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