A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | por eng |
Título da fonte: | Acta scientiarum. Technology (Online) |
Texto Completo: | http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15071 |
Resumo: | In many experimental situations the sample may present excess zero observations and generally are used probabilistic models for zero inflated to represent them. However no one knows precisely the amount of zero observations that these models support. Depending on the sample size and null observations number the Poisson model can be used. Based on this question, the objective of this paper is to evaluate the properties of Type I error and power of the score test (proposed by Van Den Broek (1995) to discriminate the Poisson and Zero-inflated Poisson models) and ascertain the most appropriate model to represent a sample with excess zeros without compromising the statistical inference. Through Monte Carlo simulation we concluded that when considering a sample of size at least n = 40 with 30% of the null observations, the score test had a high discriminatory power between the ZIP and Poisson model indicating that in fact is relevant the use of the ZIP model. |
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Acta scientiarum. Technology (Online) |
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A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071zero-inflated Poissonscore testMonte Carlo simulationProbabilidade e Inferência EstatísticaIn many experimental situations the sample may present excess zero observations and generally are used probabilistic models for zero inflated to represent them. However no one knows precisely the amount of zero observations that these models support. Depending on the sample size and null observations number the Poisson model can be used. Based on this question, the objective of this paper is to evaluate the properties of Type I error and power of the score test (proposed by Van Den Broek (1995) to discriminate the Poisson and Zero-inflated Poisson models) and ascertain the most appropriate model to represent a sample with excess zeros without compromising the statistical inference. Through Monte Carlo simulation we concluded that when considering a sample of size at least n = 40 with 30% of the null observations, the score test had a high discriminatory power between the ZIP and Poisson model indicating that in fact is relevant the use of the ZIP model. Universidade Estadual De Maringá2012-12-20info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/1507110.4025/actascitechnol.v35i2.15071Acta Scientiarum. Technology; Vol 35 No 2 (2013); 333-337Acta Scientiarum. Technology; v. 35 n. 2 (2013); 333-3371806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMporenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15071/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15071/pdf_1Silva, Vanessa Siqueira Peres daCirillo, Marcelo AngeloCespedes, Juliana Garciainfo:eu-repo/semantics/openAccess2024-05-17T13:03:27Zoai:periodicos.uem.br/ojs:article/15071Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2024-05-17T13:03:27Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false |
dc.title.none.fl_str_mv |
A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071 |
title |
A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071 |
spellingShingle |
A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071 Silva, Vanessa Siqueira Peres da zero-inflated Poisson score test Monte Carlo simulation Probabilidade e Inferência Estatística |
title_short |
A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071 |
title_full |
A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071 |
title_fullStr |
A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071 |
title_full_unstemmed |
A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071 |
title_sort |
A study of the score test in discrimination poisson and zero-inflated poisson models - doi: 10.4025/actascitechnol.v35i2.15071 |
author |
Silva, Vanessa Siqueira Peres da |
author_facet |
Silva, Vanessa Siqueira Peres da Cirillo, Marcelo Angelo Cespedes, Juliana Garcia |
author_role |
author |
author2 |
Cirillo, Marcelo Angelo Cespedes, Juliana Garcia |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Silva, Vanessa Siqueira Peres da Cirillo, Marcelo Angelo Cespedes, Juliana Garcia |
dc.subject.por.fl_str_mv |
zero-inflated Poisson score test Monte Carlo simulation Probabilidade e Inferência Estatística |
topic |
zero-inflated Poisson score test Monte Carlo simulation Probabilidade e Inferência Estatística |
description |
In many experimental situations the sample may present excess zero observations and generally are used probabilistic models for zero inflated to represent them. However no one knows precisely the amount of zero observations that these models support. Depending on the sample size and null observations number the Poisson model can be used. Based on this question, the objective of this paper is to evaluate the properties of Type I error and power of the score test (proposed by Van Den Broek (1995) to discriminate the Poisson and Zero-inflated Poisson models) and ascertain the most appropriate model to represent a sample with excess zeros without compromising the statistical inference. Through Monte Carlo simulation we concluded that when considering a sample of size at least n = 40 with 30% of the null observations, the score test had a high discriminatory power between the ZIP and Poisson model indicating that in fact is relevant the use of the ZIP model. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-12-20 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15071 10.4025/actascitechnol.v35i2.15071 |
url |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15071 |
identifier_str_mv |
10.4025/actascitechnol.v35i2.15071 |
dc.language.iso.fl_str_mv |
por eng |
language |
por eng |
dc.relation.none.fl_str_mv |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15071/pdf http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15071/pdf_1 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Estadual De Maringá |
publisher.none.fl_str_mv |
Universidade Estadual De Maringá |
dc.source.none.fl_str_mv |
Acta Scientiarum. Technology; Vol 35 No 2 (2013); 333-337 Acta Scientiarum. Technology; v. 35 n. 2 (2013); 333-337 1806-2563 1807-8664 reponame:Acta scientiarum. Technology (Online) instname:Universidade Estadual de Maringá (UEM) instacron:UEM |
instname_str |
Universidade Estadual de Maringá (UEM) |
instacron_str |
UEM |
institution |
UEM |
reponame_str |
Acta scientiarum. Technology (Online) |
collection |
Acta scientiarum. Technology (Online) |
repository.name.fl_str_mv |
Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM) |
repository.mail.fl_str_mv |
||actatech@uem.br |
_version_ |
1799315334411321344 |