

{"id":1011365,"date":"2022-02-15T02:00:25","date_gmt":"2022-02-15T09:00:25","guid":{"rendered":"https:\/\/www.questionpro.com\/blog\/teste-de-kruskal-wallis-o-que-e-vantagens-e-como-se-realiza\/"},"modified":"2025-02-17T10:38:21","modified_gmt":"2025-02-17T17:38:21","slug":"teste-de-kruskal-wallis-o-que-e-vantagens-e-como-se-realiza","status":"publish","type":"post","link":"https:\/\/www.questionpro.com\/blog\/pt\/teste-de-kruskal-wallis-o-que-e-vantagens-e-como-se-realiza\/","title":{"rendered":"Teste de Kruskal-Wallis: O que \u00e9, vantagens e como se realiza"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">O teste <\/span><b>teste de Kruskal Wallis<\/b><span style=\"font-weight: 400;\"> tem o nome de William Kruskal e W. Allen Wallis e \u00e9 utilizado em estat\u00edstica para testar se um conjunto de dados prov\u00e9m ou n\u00e3o da mesma popula\u00e7\u00e3o.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Neste artigo, vais ficar a saber o que \u00e9, quais s\u00e3o as suas vantagens e como desenvolv\u00ea-lo passo a passo.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">O que \u00e9 o <\/span><span style=\"font-weight: 400;\">o teste de Kruskal Wallis?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">O teste H de Kruskal-Wallis \u00e9 um teste n\u00e3o param\u00e9trico <\/span><span style=\"font-weight: 400;\">n\u00e3o param\u00e9trico<\/span><span style=\"font-weight: 400;\"> baseado no intervalo que pode ser utilizado para testar se existem diferen\u00e7as estatisticamente relevantes entre dois ou mais grupos de uma vari\u00e1vel independente numa vari\u00e1vel dependente ordinal ou cont\u00ednua.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">O teste determina se as medianas de dois ou mais grupos s\u00e3o diferentes. Ao faz\u00ea-lo, calcula uma estat\u00edstica de teste e compara-a com um ponto de corte da distribui\u00e7\u00e3o. \u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A estat\u00edstica de teste utilizada \u00e9 chamada de estat\u00edstica H. As hip\u00f3teses do teste s\u00e3o:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">H0: as medianas da popula\u00e7\u00e3o s\u00e3o iguais.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">H1: As medianas da popula\u00e7\u00e3o n\u00e3o s\u00e3o iguais.<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">Qual \u00e9 o significado do teste de Kruskal Wallis?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">O teste de Kruskal Wallis \u00e9 considerado a alternativa n\u00e3o param\u00e9trica ao teste <\/span><span style=\"font-weight: 400;\">ANOVA<\/span><span style=\"font-weight: 400;\"> ANOVA unidirecional, e uma extens\u00e3o do teste <\/span><span style=\"font-weight: 400;\">teste U de Mann-Whitney<\/span><span style=\"font-weight: 400;\"> para permitir a compara\u00e7\u00e3o de mais de dois grupos independentes.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">O teste H \u00e9 utilizado quando os pressupostos da ANOVA (como o pressuposto da normalidade) n\u00e3o s\u00e3o cumpridos. Por vezes, \u00e9 referido como ANOVA unidirecional em classifica\u00e7\u00f5es, uma vez que o teste utiliza classifica\u00e7\u00f5es de valores de dados em vez de pontos de dados reais. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Sendo n\u00e3o-param\u00e9trico, o teste n\u00e3o assume que os dados prov\u00eam de uma distribui\u00e7\u00e3o espec\u00edfica. O teste de Kruskal Wallis dir-te-\u00e1 se existe uma diferen\u00e7a significativa entre os grupos. No entanto, n\u00e3o te dir\u00e1 que grupos s\u00e3o diferentes.<\/span><\/p>\n<p>\u00a0<\/p>\n<h2><span style=\"font-weight: 400;\">Vantagens da utiliza\u00e7\u00e3o dos modelos de Kruskal Wallis<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Algumas das vantagens da utiliza\u00e7\u00e3o dos modelos de Kruskal Wallis s\u00e3o:<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Pode ser aplicado a uma vasta gama de situa\u00e7\u00f5es.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Compreende-o facilmente e de forma intuitiva.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Pode ser utilizado com amostras de menor dimens\u00e3o.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Pode ser utilizado para uma variedade de tipos de dados.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Necessita de menos pressupostos ou de pressupostos menos rigorosos sobre a natureza da distribui\u00e7\u00e3o da popula\u00e7\u00e3o.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u00c9 geralmente robusto e n\u00e3o costuma ser afetado por valores extremos nos dados, como os outliers.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Apresenta um elevado n\u00edvel de efici\u00eancia assint\u00f3tica relativa em compara\u00e7\u00e3o com os testes param\u00e9tricos. <\/span><span style=\"font-weight: 400;\">testes param\u00e9tricos<\/span><span style=\"font-weight: 400;\"> testes param\u00e9tricos.<\/span><\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<h2><span style=\"font-weight: 400;\">Quando \u00e9 que o teste de Kruskal Wallis pode ser utilizado?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Quando decides analisar os teus dados utilizando um teste H de Kruskal-Wallis, parte do processo consiste em verificar se os dados que pretendes analisar podem realmente ser analisados utilizando um teste H de Kruskal-Wallis.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S\u00f3 \u00e9 apropriado utilizar um teste H de Kruskal-Wallis se os teus dados &#8220;passarem&#8221; os quatro pressupostos necess\u00e1rios para que um teste H de Kruskal-Wallis produza um resultado v\u00e1lido:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Pressuposto n.\u00ba 1:<\/b><span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\"> Precisas de medir a tua vari\u00e1vel dependente ao n\u00edvel ordinal ou cont\u00ednuo.<\/span><\/span>\n<p>\u00a0<\/p>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Assun\u00e7\u00e3o n\u00ba 2: <\/b><span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Dois ou mais de dois grupos categ\u00f3ricos independentes constituem a tua vari\u00e1vel independente. O teste H de Kruskal-Wallis \u00e9 utilizado quando tens tr\u00eas ou mais grupos categ\u00f3ricos independentes, mas s\u00f3 pode ser utilizado para dois grupos.<\/span><\/span>\n<p>\u00a0<\/p>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Pressuposto n.\u00ba 3: <\/b><span style=\"font-weight: 400;\">\u00c9 necess\u00e1rio que as observa\u00e7\u00f5es sejam independentes, ou seja, que n\u00e3o exista qualquer rela\u00e7\u00e3o entre as observa\u00e7\u00f5es dentro dos grupos ou entre grupos.<\/span><\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<h2><span style=\"font-weight: 400;\">Como efetuar o teste de Kruskal Wallis?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Agora que j\u00e1 sabes o que \u00e9 o teste de Krustal Wallis, qual a sua import\u00e2ncia e como saber se o teste de Kruskal Wallis pode ser utilizado, \u00e9 altura de te apresentar como realizar o teste de Kruskal Wallis passo a passo:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Passo 1: <\/b><span style=\"font-weight: 400;\">Ordena os dados de todos os grupos ou amostras por ordem crescente num conjunto combinado.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Passo 2: <\/b><span style=\"font-weight: 400;\">Atribui classifica\u00e7\u00f5es aos pontos de dados ordenados. Atribui aos valores empatados a classifica\u00e7\u00e3o do meio. <\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Passo 3:<\/b><span style=\"font-weight: 400;\"> Soma as diferentes classifica\u00e7\u00f5es de cada grupo\/amostra.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Passo 4:<\/b><span style=\"font-weight: 400;\"> Calcula a estat\u00edstica H<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Onde:<\/span><\/p>\n<p><b>n<\/b><span style=\"font-weight: 400;\"> = soma das dimens\u00f5es das amostras para todas as amostras.<\/span><\/p>\n<p><b>c<\/b><span style=\"font-weight: 400;\"> = n\u00famero de amostras.<\/span><\/p>\n<p><b>Tj<\/b><span style=\"font-weight: 400;\"> = soma das classifica\u00e7\u00f5es na amostra.<\/span><\/p>\n<p><b>nj <\/b><span style=\"font-weight: 400;\">= <\/span><span style=\"font-weight: 400;\">tamanho da amostra<\/span><span style=\"font-weight: 400;\">.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Passo 5: <\/b><span style=\"font-weight: 400;\">Encontra o valor cr\u00edtico do qui-quadrado, com c-1 graus de liberdade. Para 3 &#8211; 1 graus de liberdade e um n\u00edvel alfa de 0,05, o valor cr\u00edtico do qui-quadrado \u00e9 5,9915. <\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Passo 6: <\/b><span style=\"font-weight: 400;\">Compara o valor H do passo 4 com o valor cr\u00edtico do qui-quadrado do passo 5.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Se o valor cr\u00edtico do qui-quadrado for inferior \u00e0 estat\u00edstica H, rejeita a hip\u00f3tese nula de que as medianas s\u00e3o iguais.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Se o valor do qui-quadrado n\u00e3o for menor do que a estat\u00edstica H, n\u00e3o h\u00e1 evid\u00eancia suficiente para sugerir que as medianas s\u00e3o desiguais.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Conclus\u00e3o<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Como qualquer teste n\u00e3o param\u00e9trico, a utiliza\u00e7\u00e3o do teste de Kruskal Wallis \u00e9 conveniente quando se trabalha com amostras pequenas, de forma a corroborar os resultados obtidos com base na utiliza\u00e7\u00e3o da teoria de base normal.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Se quiseres saber mais sobre as ferramentas de investiga\u00e7\u00e3o, convidamos-te a descarregar o nosso <\/span><span style=\"font-weight: 400;\">Ebook sobre metodologias de investiga\u00e7\u00e3o avan\u00e7adas<\/span><span style=\"font-weight: 400;\">onde encontrar\u00e1s informa\u00e7\u00f5es detalhadas sobre t\u00e9cnicas como <\/span><span style=\"font-weight: 400;\">an\u00e1lise conjunta <\/span><span style=\"font-weight: 400;\">L\u00f3gicas de investiga\u00e7\u00e3o avan\u00e7adas, relat\u00f3rios e m\u00e9todos de an\u00e1lise para garantir o sucesso da tua pr\u00f3xima investiga\u00e7\u00e3o.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Lembra-te que em <\/span><span style=\"font-weight: 400;\">QuestionPro Audience<\/span><span style=\"font-weight: 400;\"> temos uma gama de servi\u00e7os de pesquisa e amostragem de inquiridos, para al\u00e9m da nossa <\/span><span style=\"font-weight: 400;\">plataforma de inqu\u00e9ritos online gratuita.<\/span><span style=\"font-weight: 400;\"> Se quiseres saber mais, diz-nos quais s\u00e3o as tuas necessidades no nosso chat online.<\/span><\/p>\n\n\n<br>\n<center>\n<a href=\"https:\/\/eu.questionpro.com\/a\/showEntry.do?lan=pt_PT&#038;custom1=blog\">\n        <button style=\"background: #ff9f00\">Cria uma conta gratuita<\/button>\n    <\/a>\n    <a href=\"https:\/\/contactar.questionpro.com\/t\/AM4X9Z3LxD?custom1=teste-de-Kruskal-Wallis\u201d target=\"_blank\" rel=\"noopener\">\n        <button>Agendar uma demonstra\u00e7\u00e3o<\/button>\n    <\/a>\n<\/center>\n<br>\n","protected":false},"excerpt":{"rendered":"<p>O teste teste de Kruskal Wallis tem o nome de William Kruskal e W. Allen Wallis e \u00e9 utilizado em [&hellip;]<\/p>\n","protected":false},"author":42,"featured_media":950246,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[2140],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Teste de Kruskal-Wallis: O que \u00e9, vantagens e como se realiza<\/title>\n<meta name=\"description\" content=\"Descobre o que \u00e9 o teste de Kruskal Wallis, a sua import\u00e2ncia na investiga\u00e7\u00e3o, as suas vantagens e como \u00e9 realizado passo a passo.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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