Non-Parametric Statistics in University Textbooks: Problem Situations to Promote Scientific Research from the Classroom

Statistical inference is an essential element within the experimental scientific method. Inference processes can be developed through the application of parametric quantitative methods or using non-parametric statistical models. The former is used when strict assumptions are met about the shape of t...

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Main Authors: Burbano Pantoja, Víctor Miguel Ángel; Universidad Pedagógica y Tecnológica de Colombia, Valdivieso Miranda, Margoth Adriana; Universidad Pedagógica y Tecnológica de Colombia, Burbano Valdivieso, Ángela Saray
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Published: UPTC Editorial 2023
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Online Access:https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/book/213
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author Burbano Pantoja, Víctor Miguel Ángel; Universidad Pedagógica y Tecnológica de Colombia
Valdivieso Miranda, Margoth Adriana; Universidad Pedagógica y Tecnológica de Colombia
Burbano Valdivieso, Ángela Saray
author_facet Burbano Pantoja, Víctor Miguel Ángel; Universidad Pedagógica y Tecnológica de Colombia
Valdivieso Miranda, Margoth Adriana; Universidad Pedagógica y Tecnológica de Colombia
Burbano Valdivieso, Ángela Saray
author_sort Burbano Pantoja, Víctor Miguel Ángel; Universidad Pedagógica y Tecnológica de Colombia
collection OJS
description Statistical inference is an essential element within the experimental scientific method. Inference processes can be developed through the application of parametric quantitative methods or using non-parametric statistical models. The former is used when strict assumptions are met about the shape of the probability distribution of the population from which the random sample is to be selected as the basis for estimating one or more unknown population parameters, constructing confidence intervals for such parameters or determining critical regions to reject the null hypothesis. Non-parametric statistical models are statistical techniques that require more flexible assumptions or use distribution-free test statistics, which are generally defined by the ranges associated with the data of the variable or variables to be investigated, whether it is an inference problem associated with one random sample, two samples, or three or more samples.  This research work focuses on the way in which some university textbooks address the topics of non-parametric statistics associated with hypothesis testing. For this purpose, a methodology based on a mixed approach is used, since it is supported by both quantitative and qualitative research methods (content analysis and documentary research). In addition, it considers several concrete problem situations, susceptible to promote scientific research from university cloisters. This book is aimed at students, professors, professionals and researchers interested in applying classical non-parametric statistical models in hypothesis testing in their research work or in increasing their knowledge about such models. To approach it, basic knowledge of descriptive and inferential statistics from a parametric perspective is needed.
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spelling oai:oai.librosaccesoabierto.uptc.edu.co:publicationFormat-2462023-03-01T21:44:55Z Non-Parametric Statistics in University Textbooks: Problem Situations to Promote Scientific Research from the Classroom La estadística no paramétrica en los libros de texto universitarios: situaciones problema para promover la investigación científica desde el aula Burbano Pantoja, Víctor Miguel Ángel; Universidad Pedagógica y Tecnológica de Colombia Valdivieso Miranda, Margoth Adriana; Universidad Pedagógica y Tecnológica de Colombia Burbano Valdivieso, Ángela Saray Estadística Investigación científica Libros de texto universitarios Métodos no paramétricos Prueba de hipótesis Situaciones problema statistics scientific research university textbooks nonparametric methods hypothesis testing problem situations Statistical inference is an essential element within the experimental scientific method. Inference processes can be developed through the application of parametric quantitative methods or using non-parametric statistical models. The former is used when strict assumptions are met about the shape of the probability distribution of the population from which the random sample is to be selected as the basis for estimating one or more unknown population parameters, constructing confidence intervals for such parameters or determining critical regions to reject the null hypothesis. Non-parametric statistical models are statistical techniques that require more flexible assumptions or use distribution-free test statistics, which are generally defined by the ranges associated with the data of the variable or variables to be investigated, whether it is an inference problem associated with one random sample, two samples, or three or more samples.  This research work focuses on the way in which some university textbooks address the topics of non-parametric statistics associated with hypothesis testing. For this purpose, a methodology based on a mixed approach is used, since it is supported by both quantitative and qualitative research methods (content analysis and documentary research). In addition, it considers several concrete problem situations, susceptible to promote scientific research from university cloisters. This book is aimed at students, professors, professionals and researchers interested in applying classical non-parametric statistical models in hypothesis testing in their research work or in increasing their knowledge about such models. To approach it, basic knowledge of descriptive and inferential statistics from a parametric perspective is needed. La inferencia estadística es un elemento esencial dentro del método científico experimental. Los procesos de inferencia pueden desarrollarse por medio de la aplicación de métodos cuantitativos paramétricos o de modelos estadísticos no paramétricos. Los primeros se utilizan cuando se cumplen supuestos estrictos sobre la forma de la distribución de probabilidad de la población de la cual se ha de seleccionar la muestra aleatoria que sirve de base para estimar uno o más parámetros desconocidos de la población, construir intervalos de confianza para tales parámetros o determinar regiones críticas para rechazar la hipótesis  nula. Los modelos estadísticos no paramétricos son técnicas estadísticas que requieren supuestos más flexibles o usan estadísticas de prueba libres de distribución, las cuales generalmente se definen por medio de los rangos vinculados a los datos de la variable o variables por investigar, ya sea que se trate de un problema de inferencia relacionado con una muestraaleatoria, dos, tres o más muestras.  Este trabajo investigativo indaga acerca de la manera como algunos libros de texto universitarios examinan los tópicos de estadística no paramétrica referentes a la prueba de hipótesis. Para este propósito, se utiliza una metodología basada en un enfoque mixto, es decir, en métodos cuantitativos y cualitativos de investigación (análisis de contenido e investigación documental). Además, contempla diversas situaciones problema concretas, que permiten promover la investigación científica desde los claustros universitarios. Esta obra está dirigida a estudiantes, profesores, profesionales e investigadores interesados  en aplicar modelos estadísticos no paramétricos clásicos en la prueba de hipótesis en sus trabajos de investigación o en incrementar sus saberes sobre tales modelos. Para abordarla se necesitan conocimientos básicos de estadística descriptiva e inferencial desde una mirada paramétrica. UPTC Editorial Editorial UPTC 2023-03-01 Libro Digital (DA) https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/book/213 978-958-660-730-8 UPTC Editorial; Editorial UPTC; spa https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5057 https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5058 https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5059 https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5060 https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5061 https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5062 https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5063 https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5064 https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/view/213/246/5065
spellingShingle Estadística
Investigación científica
Libros de texto universitarios
Métodos no paramétricos
Prueba de hipótesis
Situaciones problema
statistics
scientific research
university textbooks
nonparametric methods
hypothesis testing
problem situations
Burbano Pantoja, Víctor Miguel Ángel; Universidad Pedagógica y Tecnológica de Colombia
Valdivieso Miranda, Margoth Adriana; Universidad Pedagógica y Tecnológica de Colombia
Burbano Valdivieso, Ángela Saray
Non-Parametric Statistics in University Textbooks: Problem Situations to Promote Scientific Research from the Classroom
title Non-Parametric Statistics in University Textbooks: Problem Situations to Promote Scientific Research from the Classroom
title_alt La estadística no paramétrica en los libros de texto universitarios: situaciones problema para promover la investigación científica desde el aula
title_full Non-Parametric Statistics in University Textbooks: Problem Situations to Promote Scientific Research from the Classroom
title_fullStr Non-Parametric Statistics in University Textbooks: Problem Situations to Promote Scientific Research from the Classroom
title_full_unstemmed Non-Parametric Statistics in University Textbooks: Problem Situations to Promote Scientific Research from the Classroom
title_short Non-Parametric Statistics in University Textbooks: Problem Situations to Promote Scientific Research from the Classroom
title_sort non parametric statistics in university textbooks problem situations to promote scientific research from the classroom
topic Estadística
Investigación científica
Libros de texto universitarios
Métodos no paramétricos
Prueba de hipótesis
Situaciones problema
statistics
scientific research
university textbooks
nonparametric methods
hypothesis testing
problem situations
topic_facet Estadística
Investigación científica
Libros de texto universitarios
Métodos no paramétricos
Prueba de hipótesis
Situaciones problema
statistics
scientific research
university textbooks
nonparametric methods
hypothesis testing
problem situations
url https://librosaccesoabierto.uptc.edu.co/index.php/editorial-uptc/catalog/book/213
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