{"id":15305,"date":"2020-03-15T16:30:58","date_gmt":"2020-03-15T15:30:58","guid":{"rendered":"https:\/\/www.datanovia.com\/en\/?post_type=dt_lessons&#038;p=15305"},"modified":"2020-03-15T16:31:36","modified_gmt":"2020-03-15T15:31:36","slug":"formule-du-test-t-apparie","status":"publish","type":"dt_lessons","link":"https:\/\/www.datanovia.com\/en\/fr\/lessons\/formule-du-test-t\/formule-du-test-t-apparie\/","title":{"rendered":"Formule du Test-T Appari\u00e9"},"content":{"rendered":"<div id=\"rdoc\">\n<p>Cet article d\u00e9crit la formule du <strong>test t appari\u00e9<\/strong>, qui est utilis\u00e9e pour comparer les moyennes de deux groupes ou \u00e9chantillons apparent\u00e9s. La formule du test t appari\u00e9 est \u00e9galement appel\u00e9e:<\/p>\n<ul>\n<li><em>formule du test t d\u00e9pendant<\/em>,<\/li>\n<li><em>formule du test t pour \u00e9chantillon appari\u00e9<\/em>,<\/li>\n<li><em>formule du test t pour \u00e9chantillons appari\u00e9s<\/em>,<\/li>\n<li><em>formule pour le test t appari\u00e9<\/em>,<\/li>\n<li><em>\u00e9quation de test t appari\u00e9<\/em> et<\/li>\n<li><em>\u00e9quation du test t d\u00e9pendant<\/em><\/li>\n<\/ul>\n<p>La proc\u00e9dure de l\u2019analyse du test t appari\u00e9 est la suivante:<\/p>\n<ol style=\"list-style-type: decimal;\">\n<li>Calculer la diff\u00e9rence (<span class=\"math inline\">\\(d\\)<\/span>) entre chaque paire de valeur<\/li>\n<li>Calculer la moyenne (<span class=\"math inline\">\\(m\\)<\/span>) et l\u2019\u00e9cart-type (<span class=\"math inline\">\\(s\\)<\/span>) de <span class=\"math inline\">\\(d\\)<\/span><\/li>\n<li>Comparer la diff\u00e9rence moyenne \u00e0 0. S\u2019il y a une diff\u00e9rence significative entre les deux paires d\u2019\u00e9chantillons, alors la moyenne de d (<span class=\"math inline\">\\(m\\)<\/span>) devrait \u00eatre loin de 0.<\/li>\n<\/ol>\n<p>Sommaire:<\/p>\n<div id=\"TOC\">\n<ul>\n<li><a href=\"#formule\">Formule<\/a><\/li>\n<li><a href=\"#article-apparent\u00e9\">Article apparent\u00e9<\/a><\/li>\n<\/ul>\n<\/div>\n<div class='dt-sc-hr-invisible-medium  '><\/div>\n<div class='dt-sc-ico-content type1'><div class='custom-icon' ><a href='https:\/\/www.datanovia.com\/en\/fr\/produit\/pratiques-des-statistiques-dans-r-pour-comparaison-de-groupes-variables-numeriques\/' target='_blank'><span class='fa fa-book'><\/span><\/a><\/div><h4><a href='https:\/\/www.datanovia.com\/en\/fr\/produit\/pratiques-des-statistiques-dans-r-pour-comparaison-de-groupes-variables-numeriques\/' target='_blank'> Livre Apparent\u00e9 <\/a><\/h4>Pratique des Statistiques dans R II - Comparaison de Groupes: Variables Num\u00e9riques<\/div>\n<div class='dt-sc-hr-invisible-medium  '><\/div>\n<div id=\"formule\" class=\"section level2\">\n<h2>Formule<\/h2>\n<p>La valeur statistique du test t appari\u00e9 peut \u00eatre calcul\u00e9e \u00e0 l\u2019aide de la formule suivante:<\/p>\n<p><span class=\"math display\">\\[<br \/>\nt = \\frac{m}{s\/\\sqrt{n}}<br \/>\n\\]<\/span><\/p>\n<p>o\u00f9,<\/p>\n<ul>\n<li><code>m<\/code> est la moyenne des diff\u00e9rences<\/li>\n<li><code>n<\/code> est la taille de l\u2019\u00e9chantillon (c.-\u00e0-d. la taille de d).<\/li>\n<li><code>s<\/code> est l\u2019\u00e9cart-type de d<\/li>\n<\/ul>\n<p>On peut calculer la p-value correspondant \u00e0 la valeur absolue de la statistique du t-test (|t|) pour les degr\u00e9s de libert\u00e9 (df) : <span class=\"math inline\">\\(df = n - 1\\)<\/span>.<\/p>\n<div class=\"success\">\n<p>Si la p-value est inf\u00e9rieure ou \u00e9gale \u00e0 0,05, on peut conclure que la diff\u00e9rence entre les deux \u00e9chantillons appari\u00e9s est significativement diff\u00e9rente.<\/p>\n<\/div>\n<\/div>\n<div id=\"article-apparent\u00e9\" class=\"section level2\">\n<h2>Article apparent\u00e9<\/h2>\n<p><a href=\"https:\/\/www.datanovia.com\/en\/fr\/lessons\/test-t-dans-r\/\">Test t dans R<\/a><\/p>\n<\/div>\n<\/div>\n<p><!--end rdoc--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>D\u00e9crit la formule du test t appari\u00e9, qui est utilis\u00e9e pour comparer les moyennes de deux groupes ou \u00e9chantillons associ\u00e9s.<\/p>\n","protected":false},"author":1,"featured_media":15306,"parent":15299,"menu_order":77,"comment_status":"open","ping_status":"closed","template":"","class_list":["post-15305","dt_lessons","type-dt_lessons","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.2 - 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