Automatic regrouping of strata in the goodness-of-fit chi-square test

Pearson’s chi-square test is widely employed in social and health sciences to analyse categorical data and contingency tables. For the test to be valid, the sample size must be large enough to provide a minimum number of expected elements per category. This paper develops functions for regrouping st...

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Detalles Bibliográficos
Autores: Núñez-Antón, Vicente, Pérez-Salamero, Juan Manuel, Regúlez-Castillo, Marta, Ventura-Marco, Manuel, Vidal-Meliá, Carlos
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/178516
Acceso en línea:https://hdl.handle.net/2117/178516
Access Level:acceso abierto
Palabra clave:Goodness-of-fit chi-square test
statistical software
Visual Basic for Applications
Mathematica
Continuous Sample of Working Lives
Classificació AMS::62 Statistics::62G Nonparametric inference
Classificació AMS::62 Statistics::62P Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Descripción
Sumario:Pearson’s chi-square test is widely employed in social and health sciences to analyse categorical data and contingency tables. For the test to be valid, the sample size must be large enough to provide a minimum number of expected elements per category. This paper develops functions for regrouping strata automatically, thus enabling the goodness-of-fit test to be performed within an iterative procedure. The usefulness and performance of these functions is illustrated by means of a simulation study and the application to different datasets. Finally, the iterative use of the functions is applied to the Continuous Sample of Working Lives, a dataset that has been used in a considerable number of studies, especially on labour economics and the Spanish public pension system.