{"id":301,"date":"2023-08-02T20:15:08","date_gmt":"2023-08-02T20:15:08","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%ac%d8%af%d9%88%d9%84-%d8%a7%d9%94%d9%86%d9%88%d9%81%d8%a7\/"},"modified":"2023-08-02T20:15:08","modified_gmt":"2023-08-02T20:15:08","slug":"%d8%ac%d8%af%d9%88%d9%84-%d8%a7%d9%94%d9%86%d9%88%d9%81%d8%a7","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%ac%d8%af%d9%88%d9%84-%d8%a7%d9%94%d9%86%d9%88%d9%81%d8%a7\/","title":{"rendered":"\u062c\u062f\u0648\u0644 \u0623\u0646\u0648\u0641\u0627"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0634\u0631\u062d \u062c\u062f\u0648\u0644 ANOVA. \u0644\u0630\u0644\u0643 \u0646\u0634\u0631\u062d \u0644\u0643 \u0645\u0627 \u0647\u0648 \u062c\u062f\u0648\u0644 ANOVA\u060c \u0648\u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644 ANOVA\u060c \u0648\u0645\u0627 \u0647\u064a \u0635\u064a\u063a \u062c\u062f\u0648\u0644 ANOVA\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-tabla-anova\"><\/span> \u0645\u0627 \u0647\u0648 \u062c\u062f\u0648\u0644 ANOVA\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062c\u062f\u0648\u0644 ANOVA<\/strong> \u0647\u0648 \u062c\u062f\u0648\u0644 \u064a\u0633\u062a\u062e\u062f\u0645 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0641\u064a \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646. \u0648\u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u062a\u062d\u062f\u064a\u062f\u064b\u0627\u060c \u064a\u062d\u062a\u0648\u064a \u062c\u062f\u0648\u0644 ANOVA \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0644\u0644\u0627\u0632\u0645\u0629 \u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0648\u0644 ANOVA \u0644\u062a\u0644\u062e\u064a\u0635 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0631\u0633\u0645 \u062d\u0633\u0627\u0628\u0627\u062a \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0641\u064a \u062c\u062f\u0648\u0644\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u0644\u0627\u0635 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0628\u0633\u0647\u0648\u0644\u0629 \u0648\u062a\u0633\u0645\u062d \u0644\u0643 \u0623\u064a\u0636\u064b\u0627 \u0628\u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 ANOVA \u0628\u0633\u0631\u0639\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formulas-de-la-tabla-anova\"><\/span> \u0635\u064a\u063a \u062c\u062f\u0648\u0644 ANOVA<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u062c\u062f\u0648\u0644 ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647\u060c \u0647\u0646\u0627\u0643 \u062b\u0644\u0627\u062b\u0629 \u0635\u0641\u0648\u0641: \u0627\u0644\u0639\u0627\u0645\u0644 \u0648\u0627\u0644\u062e\u0637\u0623 \u0648\u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a. \u0648\u0647\u0643\u0630\u0627\u060c \u0641\u064a \u062c\u062f\u0648\u0644 ANOVA\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0643\u0644 \u0635\u0641 \u0648\u062f\u0631\u062c\u0627\u062a \u062d\u0631\u064a\u062a\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u062a\u0648\u0633\u0637 \u0645\u0631\u0628\u0639 \u0627\u0644\u062e\u0637\u0623 \u0644\u0644\u0639\u0627\u0645\u0644 \u0648\u0627\u0644\u062e\u0637\u0623\u060c \u0648\u0623\u062e\u064a\u0631\u0627\u064b \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 ANOVA\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0627\u0648\u064a \u0646\u0633\u0628\u0629 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0627\u0644\u0645\u0631\u0628\u0639\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a <strong>\u0641\u0625\u0646 \u0635\u064a\u063a \u062c\u062f\u0648\u0644 ANOVA<\/strong> \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tableau-anova-formules-.png\" alt=\"\u0635\u064a\u063a \u062c\u062f\u0648\u0644 ANOVA\" class=\"wp-image-6387\" width=\"664\" height=\"397\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\"margin-bottom:5px;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0647\u0648 \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629 \u0623\u0646\u0627.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a \u0644\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0641\u064a \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-393bb0c333649c80fe6365339bc42b38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_{ij}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u0647\u064a \u0627\u0644\u0642\u064a\u0645\u0629 j \u0644\u0644\u0645\u062c\u0645\u0648\u0639\u0629 i.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8effb66cfe7466ba329c455ccb9289f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}_{i}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0647\u0648 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 i.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ed5becac4ccb36fec040f449ba9fa52d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648\u0647\u0630\u0627 \u0647\u0648 \u0645\u062a\u0648\u0633\u0637 \u062c\u0645\u064a\u0639 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645 \u062a\u062d\u0644\u064a\u0644\u0647\u0627. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-tabla-anova\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u062c\u062f\u0648\u0644 ANOVA<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u062c\u064a\u062f\u064b\u0627\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644 ANOVA \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0644 \u0645\u062b\u0627\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062a\u0645 \u0625\u062c\u0631\u0627\u0621 \u062f\u0631\u0627\u0633\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062a\u064a \u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0623\u0631\u0628\u0639\u0629 \u0637\u0644\u0627\u0628 \u0641\u064a \u062b\u0644\u0627\u062b \u0645\u0648\u0627\u062f \u0645\u062e\u062a\u0644\u0641\u0629 (\u0623\u060c \u0628\u060c \u062c). \u064a\u0648\u0636\u062d \u0627\u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062a\u064a \u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0643\u0644 \u0637\u0627\u0644\u0628 \u0641\u064a \u0627\u062e\u062a\u0628\u0627\u0631 \u062a\u0628\u0644\u063a \u062f\u0631\u062c\u062a\u0647 \u0627\u0644\u0642\u0635\u0648\u0649 20. \u0623\u0646\u0634\u0626 \u062c\u062f\u0648\u0644 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 (ANOVA) \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062a\u064a \u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0643\u0644 \u0637\u0627\u0644\u0628 \u0641\u064a \u0643\u0644 \u0645\u0627\u062f\u0629. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/table-anova-donnees.png\" alt=\"\" class=\"wp-image-6389\" width=\"471\" height=\"205\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644 \u0634\u064a\u0621 \u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647 \u0647\u0648 \u062d\u0633\u0627\u0628 \u0645\u062a\u0648\u0633\u0637 \u0643\u0644 \u0645\u0627\u062f\u0629 \u0648\u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-792e2e662519db421d0c9c4d7f831282_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}_A=\\cfrac{14+12+14+10}{4}=12,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"239\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ace3ea8d1e0ce91dafdf4b5458e9760a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}_B=\\cfrac{13+14+10+14}{4}=12,75\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"249\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d2781ad166914d48b6d458fe8e326f7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}_C=\\cfrac{19+17+16+19}{4}=17,75\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"249\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-26caf7f83546e9112594e6886e8dccae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}=\\cfrac{14+12+14+10+13+14+10+14+19+17+16+19}{12}=14,33\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"553\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u0648\u0633\u0637\u060c \u0646\u0642\u0648\u0645 \u0628\u062d\u0633\u0627\u0628 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u062c\u062f\u0648\u0644 ANOVA (\u0627\u0646\u0638\u0631 \u0623\u0639\u0644\u0627\u0647): <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-77b3fecdc3b577841da684cd80297288_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle SS_F&amp;=\\sum_{i=1}^k n_i(\\overline{y}_i-\\overline{y})^2\\\\[2ex] SS_F&amp;= 4\\cdot (12,5-14,33)^2+4\\cdot (12,75-14,33)^2+4\\cdot (17,75-14,33)^2\\\\[2ex] SS_F&amp;=70,17\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"546\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-aa02f1b826df45c26ead3537ecc4c7e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle SS_E=&amp;\\sum_{i=1}^k\\sum_{j=1}^{n_i} (y_{ij}-\\overline{y}_i)^2\\\\[2ex] \\displaystyle SS_E=\\ &amp;(14-12,5)^2+(12-12,5)^2+(14-12,5)^2+(10-12,5)^2+\\\\&amp;+(13-12,75)^2+(14-12,75)^2+(10-12,75)^2+(14-12,75)^2+\\\\&amp;+(19-17,75)^2+(17-17,75)^2+(16-17,75)^2+(19-17,75)^2\\\\[2ex] SS_E=\\ &amp;28,50\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"198\" width=\"575\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2eb66d1d37653749f38916c905108a3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle SS_T=&amp;\\sum_{i=1}^k\\sum_{j=1}^{n_i} (y_{ij}-\\overline{y})^2\\\\[2ex] \\displaystyle SS_T= \\ &amp;(14-14,33)^2+(12-14,33)^2+(14-14,33)^2+(10-14,33)^2+\\\\&amp;+(13-14,33)^2+(14-14,33)^2+(10-14,33)^2+(14-14,33)^2+\\\\&amp;+(19-14,33)^2+(17-14,33)^2+(16-14,33)^2+(19-14,33)^2\\\\[2ex] SS_T= \\ &amp;98,67\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"198\" width=\"575\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0646\u062d\u062f\u062f \u062f\u0631\u062c\u0627\u062a \u062d\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0648\u0627\u0644\u062e\u0637\u0623 \u0648\u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-481e16a2bd9b99bcd934aa0b6e3bdce7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"GL_F=k-1=3-1=2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"196\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6c71951c1e79cb2368b941b79387fe82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"GL_E=N-k=12-3=9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"213\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c62813e7a06bfd423af43109bfb508d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"GL_F=N-1=12-1=11\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"220\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0627\u0644\u0622\u0646 \u0628\u062d\u0633\u0627\u0628 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0627\u0644\u0645\u0631\u0628\u0639\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0642\u0633\u0645\u0629 \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0639\u0627\u0645\u0644 \u0648\u0627\u0644\u062e\u0637\u0623 \u0639\u0644\u0649 \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0643\u0644 \u0645\u0646\u0647\u0645\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-477d73197865e6166394e3d20732b237_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"MSE_F=\\cfrac{SS_F}{GL_F}=\\cfrac{70,17}{2}=35,08\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"255\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a5b4e07b9ec4135498762b5dbc0f173e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"MSE_R=\\cfrac{SS_R}{GL_R}=\\cfrac{28,50}{9}=3,17\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"245\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 F \u0628\u0642\u0633\u0645\u0629 \u0627\u0644\u062e\u0637\u0623\u064a\u0646 \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u064a\u0646 \u0641\u064a \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4a30a3a61861deb9f53bd1cfcdb0b664_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=\\cfrac{MSE_F}{MSE_R}=\\cfrac{35,09}{3,17}=11,08\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"231\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0633\u064a\u0628\u062f\u0648 \u062c\u062f\u0648\u0644 ANOVA \u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u062b\u0627\u0644 \u0643\u0645\u0627 \u064a\u0644\u064a: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/table-anova-exemple.png\" alt=\"\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u062c\u062f\u0648\u0644 ANOVA\" class=\"wp-image-6408\" width=\"726\" height=\"279\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u062d\u0633\u0627\u0628 \u062c\u0645\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u062c\u062f\u0648\u0644 ANOVA\u060c \u0643\u0644 \u0645\u0627 \u062a\u0628\u0642\u0649 \u0647\u0648 \u062a\u0641\u0633\u064a\u0631\u0647\u0627. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0645\u0642\u0627\u0628\u0644 \u0644\u0642\u064a\u0645\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 F\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 \u0627\u0644\u0642\u064a\u0645\u0629 p. \u0648\u064a\u0645\u0643\u0646\u0643 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u0630\u0644\u0643 \u0628\u0627\u0644\u0636\u063a\u0637 \u0639\u0644\u0649 \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;;text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u0642\u064a\u0645\u0629-\u0635\/\">\u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0642\u064a\u0645\u0629 p<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0634\u0631\u062d \u062c\u062f\u0648\u0644 ANOVA. \u0644\u0630\u0644\u0643 \u0646\u0634\u0631\u062d \u0644\u0643 \u0645\u0627 \u0647\u0648 \u062c\u062f\u0648\u0644 ANOVA\u060c \u0648\u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644 ANOVA\u060c \u0648\u0645\u0627 \u0647\u064a \u0635\u064a\u063a \u062c\u062f\u0648\u0644 ANOVA\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u0648 \u062c\u062f\u0648\u0644 ANOVA\u061f \u062c\u062f\u0648\u0644 ANOVA \u0647\u0648 \u062c\u062f\u0648\u0644 \u064a\u0633\u062a\u062e\u062f\u0645 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0641\u064a \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646. \u0648\u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u062a\u062d\u062f\u064a\u062f\u064b\u0627\u060c \u064a\u062d\u062a\u0648\u064a \u062c\u062f\u0648\u0644 ANOVA \u0639\u0644\u0649 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u062c\u062f\u0648\u0644 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 (ANOVA).<\/title>\n<meta name=\"description\" content=\"\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0645\u0627 \u0647\u0648 \u062c\u062f\u0648\u0644 ANOVA \u0648\u0643\u064a\u0641\u064a\u0629 \u0635\u0646\u0639\u0647 (\u0627\u0644\u0635\u064a\u063a) \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631\u0647 \u0648\u0623\u064a\u0636\u064b\u0627 \u0645\u062b\u0627\u0644 \u0645\u0644\u0645\u0648\u0633 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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