{"id":1576,"date":"2023-07-25T19:20:47","date_gmt":"2023-07-25T19:20:47","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d9%94%d9%86%d9%88%d9%81%d8%a7-%d9%81%d9%8a-%d8%b5-%d9%85%d8%aa%d8%af%d8%a7%d8%ae%d9%84%d8%a9\/"},"modified":"2023-07-25T19:20:47","modified_gmt":"2023-07-25T19:20:47","slug":"%d8%a7%d9%94%d9%86%d9%88%d9%81%d8%a7-%d9%81%d9%8a-%d8%b5-%d9%85%d8%aa%d8%af%d8%a7%d8%ae%d9%84%d8%a9","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d9%94%d9%86%d9%88%d9%81%d8%a7-%d9%81%d9%8a-%d8%b5-%d9%85%d8%aa%d8%af%d8%a7%d8%ae%d9%84%d8%a9\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644 (nested anova) \u0641\u064a r (\u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ar\/\u0627\u0654\u0646\u0648\u0641\u0627-\u0645\u062a\u062f\u0627\u062e\u0644\u0629\/\" target=\"_blank\" rel=\"noopener\">ANOVA \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644\u0629<\/a> \u0647\u0648 \u0646\u0648\u0639 \u0645\u0646 ANOVA (&#8220;\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646&#8221;) \u062d\u064a\u062b \u064a\u062a\u0645 <em>\u062f\u0645\u062c<\/em> \u0639\u0627\u0645\u0644 \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0636\u0645\u0646 \u0639\u0627\u0645\u0644 \u0622\u062e\u0631.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0623\u062d\u062f \u0627\u0644\u0628\u0627\u062d\u062b\u064a\u0646 \u064a\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062b\u0644\u0627\u062b\u0629 \u0623\u0633\u0645\u062f\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u062a\u0646\u062a\u062c \u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0646\u0645\u0648 \u0627\u0644\u0646\u0628\u0627\u062a.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0630\u0644\u0643\u060c \u0642\u0627\u0645 \u062b\u0644\u0627\u062b\u0629 \u0641\u0646\u064a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646 \u0628\u0631\u0634 \u0627\u0644\u0633\u0645\u0627\u062f A \u0639\u0644\u0649 \u0623\u0631\u0628\u0639 \u0646\u0628\u0627\u062a\u0627\u062a\u060c \u0648\u0642\u0627\u0645 \u062b\u0644\u0627\u062b\u0629 \u0641\u0646\u064a\u064a\u0646 \u0622\u062e\u0631\u064a\u0646 \u0628\u0631\u0634 \u0627\u0644\u0633\u0645\u0627\u062f B \u0639\u0644\u0649 \u0623\u0631\u0628\u0639 \u0646\u0628\u0627\u062a\u0627\u062a\u060c \u0648\u0642\u0627\u0645 \u062b\u0644\u0627\u062b\u0629 \u0641\u0646\u064a\u064a\u0646 \u0622\u062e\u0631\u064a\u0646 \u0628\u0631\u0634 \u0627\u0644\u0633\u0645\u0627\u062f C \u0639\u0644\u0649 \u0623\u0631\u0628\u0639 \u0646\u0628\u0627\u062a\u0627\u062a.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0633\u064a\u0646\u0627\u0631\u064a\u0648\u060c <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a-\u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0627\u062a-\u0627\u0644\u062a\u0641\u0633\u064a\u0631\u064a\u0629\/\" target=\"_blank\" rel=\"noopener\">\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629<\/a> \u0647\u0648 \u0646\u0645\u0648 \u0627\u0644\u0646\u0628\u0627\u062a \u0648\u0627\u0644\u0639\u0627\u0645\u0644\u064a\u0646 \u0647\u0645\u0627 \u0627\u0644\u0641\u0646\u064a \u0648\u0627\u0644\u0623\u0633\u0645\u062f\u0629. \u0627\u062a\u0636\u062d \u0623\u0646 \u0627\u0644\u0641\u0646\u064a <em>\u064a\u0642\u0639<\/em> \u0641\u064a \u0627\u0644\u0623\u0633\u0645\u062f\u0629:<\/span> <\/p>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15679 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/imbrique1-1.png\" alt=\"\u0645\u062b\u0627\u0644 ANOVA \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644\" width=\"677\" height=\"167\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 ANOVA \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644 \u0641\u064a R.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 1: \u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0623\u0648\u0644\u0627\u064b\u060c \u0644\u0646\u0642\u0645 \u0628\u0625\u0646\u0634\u0627\u0621 \u0625\u0637\u0627\u0631 \u0628\u064a\u0627\u0646\u0627\u062a \u0644\u0644\u0627\u062d\u062a\u0641\u0627\u0638 \u0628\u0628\u064a\u0627\u0646\u0627\u062a\u0646\u0627 \u0641\u064a R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (growth=c(13, 16, 16, 12, 15, 16, 19, 16, 15, 15, 12, 15,\n                          19, 19, 20, 22, 23, 18, 16, 18, 19, 20, 21, 21,\n                          21, 23, 24, 22, 25, 20, 20, 22, 24, 22, 25, 26),\n                 fertilizer=c(rep(c(' <span style=\"color: #ff0000;\">A<\/span> ', ' <span style=\"color: #ff0000;\">B<\/span> ', ' <span style=\"color: #ff0000;\">C<\/span> '), each= <span style=\"color: #008000;\">12<\/span> )),\n                 tech=c(rep(1:9, each= <span style=\"color: #008000;\">4<\/span> )))\n\n<span style=\"color: #008080;\">#view first six rows of data\n<\/span>head(df)\n\n  growth fertilizer tech\n1 13 A 1\n2 16 A 1\n3 16 A 1\n4 12 A 1\n5 15 A 2\n6 16 A 2<\/strong><\/pre>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 2: \u0636\u0628\u0637 ANOVA \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0628\u0646\u0627\u0621 \u0627\u0644\u062c\u0645\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u062a\u0646\u0627\u0633\u0628 ANOVA \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644\u0629 \u0641\u064a R:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>aov (\u0627\u0644\u0625\u062c\u0627\u0628\u0629 ~ \u0627\u0644\u0639\u0627\u0645\u0644 A \/ \u0627\u0644\u0639\u0627\u0645\u0644 B)<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0630\u0647\u0628:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0639\u0627\u0645\u0644 \u0623:<\/strong> \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0623\u0648\u0644<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0639\u0627\u0645\u0644 \u0628:<\/strong> \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u062b\u0627\u0646\u064a \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644 \u0641\u064a \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0623\u0648\u0644<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u0645\u0644\u0627\u0621\u0645\u0629 ANOVA \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644\u0629 \u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0646\u0627:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit nested ANOVA\n<\/span>nest &lt;- aov(df$growth ~ df$fertilizer \/ factor(df$tech))\n\n<span style=\"color: #008080;\">#view summary of nested ANOVA\n<\/span>summary(nest)\n\n                              Df Sum Sq Mean Sq F value Pr(&gt;F)    \ndf$fertilizer 2 372.7 186.33 53.238 4.27e-10 ***\ndf$fertilizer:factor(df$tech) 6 31.8 5.31 1.516 0.211    \nResiduals 27 94.5 3.50                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 3: \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u062a\u064a\u062c\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0646\u0638\u0631 \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u0642\u064a\u0645\u0629 p \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0643\u0644 \u0639\u0627\u0645\u0644 \u062a\u0623\u062b\u064a\u0631 \u0630\u0648 \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0639\u0644\u0649 \u0646\u0645\u0648 \u0627\u0644\u0646\u0628\u0627\u062a \u0623\u0645 \u0644\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0627\u0644\u062c\u062f\u0648\u0644 \u0623\u0639\u0644\u0627\u0647\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0627\u0644\u0623\u0633\u0645\u062f\u0629 \u0644\u0647\u0627 \u062a\u0623\u062b\u064a\u0631 \u0630\u0648 \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0639\u0644\u0649 \u0646\u0645\u0648 \u0627\u0644\u0646\u0628\u0627\u062a (\u0642\u064a\u0645\u0629 p &lt;0.05)\u060c \u0648\u0644\u0643\u0646 \u0644\u064a\u0633 \u0644\u0647 \u062a\u0623\u062b\u064a\u0631 \u0641\u0646\u064a (\u0642\u064a\u0645\u0629 p = 0.211).<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0647\u0630\u0627 \u064a\u062e\u0628\u0631\u0646\u0627 \u0623\u0646\u0646\u0627 \u0625\u0630\u0627 \u0623\u0631\u062f\u0646\u0627 \u0632\u064a\u0627\u062f\u0629 \u0646\u0645\u0648 \u0627\u0644\u0646\u0628\u0627\u062a\u060c \u0641\u0625\u0646\u0646\u0627 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0627\u0644\u062a\u0631\u0643\u064a\u0632 \u0639\u0644\u0649 \u0627\u0644\u0623\u0633\u0645\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0627\u0644\u0641\u0646\u064a \u0627\u0644\u0641\u0631\u062f\u064a \u0627\u0644\u0630\u064a \u064a\u0642\u0648\u0645 \u0628\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0623\u0633\u0645\u062f\u0629.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 4: \u062a\u0635\u0648\u0631 \u0627\u0644\u0646\u062a\u0627\u0626\u062c<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u0635\u0646\u062f\u0648\u0642\u064a\u0629 \u0644\u062a\u0635\u0648\u0631 \u062a\u0648\u0632\u064a\u0639 \u0646\u0645\u0648 \u0627\u0644\u0646\u0628\u0627\u062a \u062d\u0633\u0628 \u0627\u0644\u0623\u0633\u0645\u062f\u0629 \u0648\u0627\u0644\u0641\u0646\u064a:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load ggplot2 data visualization package\n<\/span><span style=\"color: #993300;\">library<\/span> (ggplot2)\n\n<span style=\"color: #008080;\">#create boxplots to visualize plant growth\n<\/span>ggplot(df, <span style=\"color: #3366ff;\">aes<\/span> (x=factor(tech), y=growth, fill=fertilizer)) +\n  geom_boxplot()\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15690 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/imbriquer1.png\" alt=\"\" width=\"429\" height=\"427\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0623\u0646 \u0647\u0646\u0627\u0643 \u062a\u0628\u0627\u064a\u0646\u064b\u0627 \u0643\u0628\u064a\u0631\u064b\u0627 \u0641\u064a \u0627\u0644\u0646\u0645\u0648 \u0628\u064a\u0646 \u0627\u0644\u0623\u0633\u0645\u062f\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0648\u0644\u0643\u0646 \u0644\u0627 \u064a\u0648\u062c\u062f \u062a\u0628\u0627\u064a\u0646 \u0643\u0628\u064a\u0631 \u0628\u064a\u0646 \u0627\u0644\u0641\u0646\u064a\u064a\u0646 \u062f\u0627\u062e\u0644 \u0643\u0644 \u0645\u062c\u0645\u0648\u0639\u0629 \u0623\u0633\u0645\u062f\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u064a\u0628\u062f\u0648 \u0623\u0646 \u0647\u0630\u0627 \u064a\u0637\u0627\u0628\u0642 \u0646\u062a\u0627\u0626\u062c \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 (ANOVA) \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644 \u0648\u064a\u0624\u0643\u062f \u0623\u0646 \u0627\u0644\u0623\u0633\u0645\u062f\u0629 \u0644\u0647\u0627 \u062a\u0623\u062b\u064a\u0631 \u0643\u0628\u064a\u0631 \u0639\u0644\u0649 \u0646\u0645\u0648 \u0627\u0644\u0646\u0628\u0627\u062a\u060c \u0648\u0644\u0643\u0646 \u0627\u0644\u0641\u0646\u064a\u064a\u0646 \u0627\u0644\u0623\u0641\u0631\u0627\u062f \u0644\u0627 \u064a\u0641\u0639\u0644\u0648\u0646 \u0630\u0644\u0643.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <a href=\"https:\/\/statorials.org\/ar\/\u0637\u0631\u064a\u0642\u0629-\u0648\u0627\u062d\u062f\u0629-\u0627\u0654\u0646\u0648\u0641\u0627-\u0635\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0641\u064a R<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0654\u0646\u0648\u0641\u0627-\u0631\u0627-\u0627\u062a\u062c\u0627\u0647\u064a\u0646\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 ANOVA \u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0641\u064a R<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0642\u064a\u0627\u0633\u0627\u062a-\u0627\u0644\u0645\u062a\u0643\u0631\u0631\u0629-\u0627\u0654\u0646\u0648\u0641\u0627-\u0641\u064a-\u0635\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u062a\u0646\u0641\u064a\u0630 \u0627\u0644\u062a\u062f\u0627\u0628\u064a\u0631 \u0627\u0644\u0645\u062a\u0643\u0631\u0631\u0629 ANOVA \u0641\u064a R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>ANOVA \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644\u0629 \u0647\u0648 \u0646\u0648\u0639 \u0645\u0646 ANOVA (&#8220;\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646&#8221;) \u062d\u064a\u062b \u064a\u062a\u0645 \u062f\u0645\u062c \u0639\u0627\u0645\u0644 \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0636\u0645\u0646 \u0639\u0627\u0645\u0644 \u0622\u062e\u0631. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0623\u062d\u062f \u0627\u0644\u0628\u0627\u062d\u062b\u064a\u0646 \u064a\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062b\u0644\u0627\u062b\u0629 \u0623\u0633\u0645\u062f\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u062a\u0646\u062a\u062c \u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0646\u0645\u0648 \u0627\u0644\u0646\u0628\u0627\u062a. \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0630\u0644\u0643\u060c \u0642\u0627\u0645 \u062b\u0644\u0627\u062b\u0629 \u0641\u0646\u064a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646 \u0628\u0631\u0634 \u0627\u0644\u0633\u0645\u0627\u062f A \u0639\u0644\u0649 \u0623\u0631\u0628\u0639 \u0646\u0628\u0627\u062a\u0627\u062a\u060c \u0648\u0642\u0627\u0645 \u062b\u0644\u0627\u062b\u0629 \u0641\u0646\u064a\u064a\u0646 \u0622\u062e\u0631\u064a\u0646 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0645\u062a\u062f\u0627\u062e\u0644 (Nested ANOVA) \u0641\u064a R (\u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629)<\/title>\n<meta name=\"description\" content=\"\u064a\u0634\u0631\u062d \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 ANOVA \u0645\u062a\u062f\u0627\u062e\u0644\u0629 \u0641\u064a R\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 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\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 ANOVA \u0645\u062a\u062f\u0627\u062e\u0644\u0629 \u0641\u064a R\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0645\u062b\u0627\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/ar\/\u0627\u0654\u0646\u0648\u0641\u0627-\u0641\u064a-\u0635-\u0645\u062a\u062f\u0627\u062e\u0644\u0629\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T19:20:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/imbrique1-1.png\" \/>\n<meta name=\"author\" content=\"\u062f\u0643\u062a\u0648\u0631 \u0628\u0646\u064a\u0627\u0645\u064a\u0646 \u0623\u0646\u062f\u0631\u0633\u0648\u0646\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta 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