Statistics for N = 1: A Non-Parametric Bayesian Approach

Detalhes bibliográficos
Autor(a) principal: Leppink, Jimmie
Data de Publicação: 2020
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Scientia Medica (Porto Alegre. Online)
Texto Completo: https://revistaseletronicas.pucrs.br/scientiamedica/article/view/38066
Resumo: Research in education is often associated with comparing group averages and linear relations in sufficiently large samples and evidence-based practice is about using the outcomes of that research in the practice of education. However, there are questions that are important for the practice of education that cannot really be addressed by comparisons of group averages and linear relations, no matter how large the samples. Besides, different types of constraints including logistic, financial, and ethical ones may make larger-sample research unfeasible or at least questionable. What has remained less known in many fields is that there are study designs and statistical methods for research involving small samples or even individuals that allow us to address questions of importance for the practice of education. This article discusses one type of such situations and provides a simple coherent statistical approach that provides point and interval estimates of differences of interest regardless of the type of the outcome variable and that is of use in other types of studies involving large samples, small samples, and single individuals.
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spelling Statistics for N = 1: A Non-Parametric Bayesian ApproachEstatística para N = 1: Uma abordagem Bayesiana não paramétrica95% Credible IntervalPercentage of All Non-Overlapping Data (PAND)Percentage of All Non-Overlapping Data Bayes (PAND-B)Single Case Design (SCD)Single Case Experimental Design (SCED)Intervalo de credibilidade de 95%Porcentagem de todos os dados não sobrepostos (PAND)Porcentagem de todos os Bayes de dados não sobrepostos (PAND-B)Projeto de caixa única (SCD)Projeto Experimental de Caso Único (SCED)Research in education is often associated with comparing group averages and linear relations in sufficiently large samples and evidence-based practice is about using the outcomes of that research in the practice of education. However, there are questions that are important for the practice of education that cannot really be addressed by comparisons of group averages and linear relations, no matter how large the samples. Besides, different types of constraints including logistic, financial, and ethical ones may make larger-sample research unfeasible or at least questionable. What has remained less known in many fields is that there are study designs and statistical methods for research involving small samples or even individuals that allow us to address questions of importance for the practice of education. This article discusses one type of such situations and provides a simple coherent statistical approach that provides point and interval estimates of differences of interest regardless of the type of the outcome variable and that is of use in other types of studies involving large samples, small samples, and single individuals.A pesquisa em educação é frequentemente associada à comparação de médias de grupo e relações lineares em amostras suficientemente grandes, e a prática baseada em evidências trata do uso dos resultados dessa pesquisa na prática educacional. No entanto, há questões importantes para a prática da educação que não podem ser realmente abordadas por comparações de médias de grupo e relações lineares, por maiores que sejam as amostras. Além disso, diferentes tipos de restrições, incluindo as logísticas, financeiras e éticas, podem tornar a pesquisa com amostras maiores inviável ou, pelo menos, questionável. O que tem ficado menos conhecido em muitos campos é que existem desenhos de estudos e métodos estatísticos para pesquisas envolvendo pequenas amostras ou mesmo indivíduos que nos permitem abordar questões de importância para a prática da educação. Este artigo discute um tipo de tais situações e fornece uma abordagem estatística coerente simples que fornece estimativas de ponto e intervalo de diferenças de interesse, independentemente do tipo de variável de resultado e que é útil em outros tipos de estudos envolvendo grandes amostras, pequenas amostras, e indivíduos solteiros.Editora da PUCRS - ediPUCRS2020-12-17info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistaseletronicas.pucrs.br/scientiamedica/article/view/3806610.15448/1980-6108.2020.1.38066Scientia Medica; Vol. 30 No. 1 (2020): Single Volume; e38066Scientia Medica; v. 30 n. 1 (2020): Volume Único; e380661980-61081806-556210.15448/1980-6108.2020.1reponame:Scientia Medica (Porto Alegre. Online)instname:Pontifícia Universidade Católica do Rio Grande do Sul (PUCRS)instacron:PUC_RSenghttps://revistaseletronicas.pucrs.br/scientiamedica/article/view/38066/26461Copyright (c) 2020 Scientia Medicahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessLeppink, Jimmie2021-01-07T13:53:29Zoai:ojs.revistaseletronicas.pucrs.br:article/38066Revistahttps://revistaseletronicas.pucrs.br/scientiamedica/PUBhttps://revistaseletronicas.pucrs.br/scientiamedica/oaiscientiamedica@pucrs.br || editora.periodicos@pucrs.br1980-61081806-5562opendoar:2021-01-07T13:53:29Scientia Medica (Porto Alegre. Online) - Pontifícia Universidade Católica do Rio Grande do Sul (PUCRS)false
dc.title.none.fl_str_mv Statistics for N = 1: A Non-Parametric Bayesian Approach
Estatística para N = 1: Uma abordagem Bayesiana não paramétrica
title Statistics for N = 1: A Non-Parametric Bayesian Approach
spellingShingle Statistics for N = 1: A Non-Parametric Bayesian Approach
Leppink, Jimmie
95% Credible Interval
Percentage of All Non-Overlapping Data (PAND)
Percentage of All Non-Overlapping Data Bayes (PAND-B)
Single Case Design (SCD)
Single Case Experimental Design (SCED)
Intervalo de credibilidade de 95%
Porcentagem de todos os dados não sobrepostos (PAND)
Porcentagem de todos os Bayes de dados não sobrepostos (PAND-B)
Projeto de caixa única (SCD)
Projeto Experimental de Caso Único (SCED)
title_short Statistics for N = 1: A Non-Parametric Bayesian Approach
title_full Statistics for N = 1: A Non-Parametric Bayesian Approach
title_fullStr Statistics for N = 1: A Non-Parametric Bayesian Approach
title_full_unstemmed Statistics for N = 1: A Non-Parametric Bayesian Approach
title_sort Statistics for N = 1: A Non-Parametric Bayesian Approach
author Leppink, Jimmie
author_facet Leppink, Jimmie
author_role author
dc.contributor.author.fl_str_mv Leppink, Jimmie
dc.subject.por.fl_str_mv 95% Credible Interval
Percentage of All Non-Overlapping Data (PAND)
Percentage of All Non-Overlapping Data Bayes (PAND-B)
Single Case Design (SCD)
Single Case Experimental Design (SCED)
Intervalo de credibilidade de 95%
Porcentagem de todos os dados não sobrepostos (PAND)
Porcentagem de todos os Bayes de dados não sobrepostos (PAND-B)
Projeto de caixa única (SCD)
Projeto Experimental de Caso Único (SCED)
topic 95% Credible Interval
Percentage of All Non-Overlapping Data (PAND)
Percentage of All Non-Overlapping Data Bayes (PAND-B)
Single Case Design (SCD)
Single Case Experimental Design (SCED)
Intervalo de credibilidade de 95%
Porcentagem de todos os dados não sobrepostos (PAND)
Porcentagem de todos os Bayes de dados não sobrepostos (PAND-B)
Projeto de caixa única (SCD)
Projeto Experimental de Caso Único (SCED)
description Research in education is often associated with comparing group averages and linear relations in sufficiently large samples and evidence-based practice is about using the outcomes of that research in the practice of education. However, there are questions that are important for the practice of education that cannot really be addressed by comparisons of group averages and linear relations, no matter how large the samples. Besides, different types of constraints including logistic, financial, and ethical ones may make larger-sample research unfeasible or at least questionable. What has remained less known in many fields is that there are study designs and statistical methods for research involving small samples or even individuals that allow us to address questions of importance for the practice of education. This article discusses one type of such situations and provides a simple coherent statistical approach that provides point and interval estimates of differences of interest regardless of the type of the outcome variable and that is of use in other types of studies involving large samples, small samples, and single individuals.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-17
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 https://revistaseletronicas.pucrs.br/scientiamedica/article/view/38066
10.15448/1980-6108.2020.1.38066
url https://revistaseletronicas.pucrs.br/scientiamedica/article/view/38066
identifier_str_mv 10.15448/1980-6108.2020.1.38066
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistaseletronicas.pucrs.br/scientiamedica/article/view/38066/26461
dc.rights.driver.fl_str_mv Copyright (c) 2020 Scientia Medica
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2020 Scientia Medica
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Editora da PUCRS - ediPUCRS
publisher.none.fl_str_mv Editora da PUCRS - ediPUCRS
dc.source.none.fl_str_mv Scientia Medica; Vol. 30 No. 1 (2020): Single Volume; e38066
Scientia Medica; v. 30 n. 1 (2020): Volume Único; e38066
1980-6108
1806-5562
10.15448/1980-6108.2020.1
reponame:Scientia Medica (Porto Alegre. Online)
instname:Pontifícia Universidade Católica do Rio Grande do Sul (PUCRS)
instacron:PUC_RS
instname_str Pontifícia Universidade Católica do Rio Grande do Sul (PUCRS)
instacron_str PUC_RS
institution PUC_RS
reponame_str Scientia Medica (Porto Alegre. Online)
collection Scientia Medica (Porto Alegre. Online)
repository.name.fl_str_mv Scientia Medica (Porto Alegre. Online) - Pontifícia Universidade Católica do Rio Grande do Sul (PUCRS)
repository.mail.fl_str_mv scientiamedica@pucrs.br || editora.periodicos@pucrs.br
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