{"id":1714,"date":"2023-07-25T06:45:39","date_gmt":"2023-07-25T06:45:39","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%aa%d9%81%d8%b3%d9%8a%d8%b1-%d9%86%d8%aa%d8%a7%d9%8a%d9%94%d8%ac-lanova-%d9%81%d9%8a-r\/"},"modified":"2023-07-25T06:45:39","modified_gmt":"2023-07-25T06:45:39","slug":"%d8%aa%d9%81%d8%b3%d9%8a%d8%b1-%d9%86%d8%aa%d8%a7%d9%8a%d9%94%d8%ac-lanova-%d9%81%d9%8a-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%aa%d9%81%d8%b3%d9%8a%d8%b1-%d9%86%d8%aa%d8%a7%d9%8a%d9%94%d8%ac-lanova-%d9%81%d9%8a-r\/","title":{"rendered":"\u0627\u0644\u062f\u0644\u064a\u0644 \u0627\u0644\u0643\u0627\u0645\u0644: \u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631 \u0646\u062a\u0627\u0626\u062c anova \u0641\u064a r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\">\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062a\u062c\u0627\u0647-\u0648\u0627\u062d\u062f-\u0627\u0654\u0646\u0648\u0641\u0627\/\" target=\"_blank\" rel=\"noopener noreferrer\">ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647<\/a> \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 \u0641\u0631\u0642 \u0630\u0648 \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0628\u064a\u0646 \u0645\u062a\u0648\u0633\u0637\u0627\u062a \u062b\u0644\u0627\u062b \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u0633\u062a\u0642\u0644\u0629 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0623\u0645 \u0644\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0641\u0631 \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u062f\u0644\u064a\u0644\u0627\u064b \u0643\u0627\u0645\u0644\u0627\u064b \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631 \u0646\u062a\u0627\u0626\u062c ANOVA \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0641\u064a R.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062e\u0637\u0648\u0629 1: \u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0631\u064a\u062f \u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062b\u0644\u0627\u062b\u0629 \u0628\u0631\u0627\u0645\u062c \u062a\u062f\u0631\u064a\u0628\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u062a\u0624\u062f\u064a \u0625\u0644\u0649 \u0645\u062a\u0648\u0633\u0637 \u0645\u062e\u062a\u0644\u0641 \u0644\u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u062f\u0649 \u0627\u0644\u0623\u0641\u0631\u0627\u062f.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0630\u0644\u0643\u060c \u0642\u0645\u0646\u0627<\/span> <span style=\"color: #000000;\">\u0628\u062a\u062c\u0646\u064a\u062f 90 \u0634\u062e\u0635\u064b\u0627 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u0629 \u0641\u064a \u062a\u062c\u0631\u0628\u0629 \u0642\u0645\u0646\u0627 \u0641\u064a\u0647\u0627 \u0628\u062a\u0639\u064a\u064a\u0646 30 \u0634\u062e\u0635\u064b\u0627 \u0628\u0634\u0643\u0644 \u0639\u0634\u0648\u0627\u0626\u064a \u0644\u0645\u062a\u0627\u0628\u0639\u0629 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0623 \u0623\u0648 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0628 \u0623\u0648 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u062c \u0644\u0645\u062f\u0629 \u0634\u0647\u0631.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0646\u0634\u0626 \u0625\u0637\u0627\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0630\u064a \u0633\u0646\u0639\u0645\u0644 \u0645\u0639\u0647:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n<\/span>\n#create data frame\n<span style=\"color: #000000;\">data &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (program = rep(c(' <span style=\"color: #008000;\">A<\/span> ', ' <span style=\"color: #008000;\">B<\/span> ', ' <span style=\"color: #008000;\">C<\/span> '), each = 30),\n                   weight_loss = c(runif(30, 0, 3),\n                                   runif(30, 0, 5),\n                                   runif(30, 1, 7)))<\/span>\n\n#view first six rows of data frame\n<span style=\"color: #000000;\">head(data)\n<\/span>\n<span style=\"color: #000000;\">program weight_loss\n1 A 2.6900916\n2 A 0.7965260\n3 A 1.1163717\n4 A 1.7185601\n5 A 2.7246234\n6 A 0.6050458<\/span>\n<\/span><\/strong><\/pre>\n<h3 style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062e\u0637\u0648\u0629 2: \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 (ANOVA).<\/strong><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0623\u0645\u0631 <strong>aov()<\/strong> \u0644\u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit one-way ANOVA model\n<span style=\"color: #000000;\">model &lt;- aov(weight_loss ~ program, data = data)<\/span>\n<\/span><\/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 \u0646\u062a\u0627\u0626\u062c ANOVA<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0623\u0645\u0631 <strong>Summary()<\/strong> \u0644\u0639\u0631\u0636 \u0646\u062a\u0627\u0626\u062c ANOVA \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u0627\u062a\u062c\u0627\u0647:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view summary of one-way ANOVA model\n<span style=\"color: #000000;\">summary(model)\n\n            Df Sum Sq Mean Sq F value Pr(&gt;F)    \nprogram 2 98.93 49.46 30.83 7.55e-11 ***\nResiduals 87 139.57 1.60                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/span><\/span><\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631 \u0643\u0644 \u0642\u064a\u0645\u0629 \u0646\u062a\u064a\u062c\u0629:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0628\u0631\u0646\u0627\u0645\u062c Df :<\/strong> \u062f\u0631\u062c\u0627\u062a \u062d\u0631\u064a\u0629 <em>\u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c<\/em> \u0627\u0644\u0645\u062a\u063a\u064a\u0631 . \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0630\u0644\u0643 \u0643\u0640 #groups -1. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 3 \u0628\u0631\u0627\u0645\u062c \u062a\u062f\u0631\u064a\u0628\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0625\u0630\u0646 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\u0629 \u0647\u064a: 3-1 = <strong>2<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>Df Residuals:<\/strong> \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629 \u0644\u0644\u0628\u0642\u0627\u064a\u0627. \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0630\u0644\u0643 \u0639\u0644\u0649 \u0623\u0646\u0647 #\u0625\u062c\u0645\u0627\u0644\u064a \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u2013 #\u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 90 \u0645\u0644\u0627\u062d\u0638\u0629 \u0648 3 \u0645\u062c\u0645\u0648\u0639\u0627\u062a\u060c \u0625\u0630\u0646 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\u0629 \u0647\u064a: 90 -3 = <strong>87<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0628\u0631\u0646\u0627\u0645\u062c \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639 :<\/strong> \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 <em>\u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c<\/em> \u0627\u0644\u0645\u062a\u063a\u064a\u0631 . \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\u0629 \u0647\u064a <strong>98.93<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0627\u0644\u0645\u0631\u0628\u0639\u0629:<\/strong> \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0623\u0648 &#8220;\u0627\u0644\u0623\u062e\u0637\u0627\u0621&#8221;. \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\u0629 \u0647\u064a <strong>139.57<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0631\u0628\u0639 \u0645\u062a\u0648\u0633\u0637. \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c:<\/strong> \u0645\u062a\u0648\u0633\u0637 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c. \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0647\u0630\u0627 \u0643\u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639. \u0628\u0631\u0646\u0627\u0645\u062c \/ \u0628\u0631\u0646\u0627\u0645\u062c \u0645\u062f\u0627\u0641\u0639. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0630\u0644\u0643 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a: 98.93 \/ 2 = <strong>49.46<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0631\u0628\u0639 \u0645\u062a\u0648\u0633\u0637. \u0627\u0644\u0628\u0642\u0627\u064a\u0627:<\/strong> \u0645\u062a\u0648\u0633\u0637 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0644\u0628\u0648\u0627\u0642\u064a. \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0647\u0630\u0627 \u0643\u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639. \u0628\u0642\u0627\u064a\u0627 \/ \u0628\u0642\u0627\u064a\u0627 \u0645\u062f\u0627\u0641\u0639. \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0630\u0644\u0643 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a: 139.57 \/ 87 = <strong>1.60<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0642\u064a\u0645\u0629 F:<\/strong> \u0625\u062d\u0635\u0627\u0626\u064a\u0629 F \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a\u0629 \u0644\u0646\u0645\u0648\u0630\u062c ANOVA. \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0647\u0630\u0627 \u0639\u0644\u0649 \u0623\u0646\u0647 \u0627\u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062a\u0648\u0633\u0637. \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \/ \u064a\u0639\u0646\u064a \u0645\u0631\u0628\u0639 . \u0628\u0642\u0627\u064a\u0627. \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a: 49.46 \/ 1.60 = <strong>30.83<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>Pr(&gt;F):<\/strong> \u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a F \u0645\u0639 \u0627\u0644\u0628\u0633\u0637 df = 2 \u0648\u0627\u0644\u0645\u0642\u0627\u0645 df = 87. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u0642\u064a\u0645\u0629 p \u0647\u064a <strong>7.552e-11<\/strong> \u060c \u0648\u0647\u0648 \u0631\u0642\u0645 \u0635\u063a\u064a\u0631 \u0644\u0644\u063a\u0627\u064a\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0623\u0643\u062b\u0631 \u0623\u0647\u0645\u064a\u0629 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0647\u064a \u0627\u0644\u0642\u064a\u0645\u0629 p\u060c \u0644\u0623\u0646\u0647\u0627 \u062a\u062e\u0628\u0631\u0646\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 \u0641\u0631\u0642 \u0643\u0628\u064a\u0631 \u0641\u064a \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0648\u0633\u0637\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0630\u0643\u0631 \u0623\u0646 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u064a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0648\u0627\u0644\u0628\u062f\u064a\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> (\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645):<\/strong> \u062c\u0645\u064a\u0639 \u0648\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0629.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong><sub>HA<\/sub> (\u0641\u0631\u0636\u064a\u0629 \u0628\u062f\u064a\u0644\u0629):<\/strong> \u064a\u062e\u062a\u0644\u0641 \u0645\u062a\u0648\u0633\u0637 \u0645\u062c\u0645\u0648\u0639\u0629 \u0648\u0627\u062d\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0639\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649.<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0641\u064a \u062c\u062f\u0648\u0644 ANOVA (.7552e-11) \u0623\u0642\u0644 \u0645\u0646 0.05\u060c \u0641\u0644\u062f\u064a\u0646\u0627 \u0623\u062f\u0644\u0629 \u0643\u0627\u0641\u064a\u0629 \u0644\u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u0645\u0627 \u064a\u0643\u0641\u064a \u0645\u0646 \u0627\u0644\u0623\u062f\u0644\u0629 \u0644\u0646\u0642\u0648\u0644 \u0625\u0646 \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0627\u0644\u0630\u064a \u064a\u0639\u0627\u0646\u064a \u0645\u0646\u0647 \u0627\u0644\u0623\u0641\u0631\u0627\u062f \u0644\u064a\u0633 \u0645\u062a\u0633\u0627\u0648\u064a\u0627 \u0628\u064a\u0646 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062a\u062f\u0631\u064a\u0628\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 4: \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627 \u0628\u0639\u062f \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 (\u0625\u0630\u0627 \u0644\u0632\u0645 \u0627\u0644\u0623\u0645\u0631)<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0642\u064a\u0645\u0629 p \u0641\u064a \u0645\u062e\u0631\u062c\u0627\u062a ANOVA \u0623\u0642\u0644 \u0645\u0646 0.05\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645. \u0648\u0647\u0630\u0627 \u064a\u062e\u0628\u0631\u0646\u0627 \u0623\u0646 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0642\u064a\u0645\u0629 \u0628\u064a\u0646 \u0643\u0644 \u0645\u062c\u0645\u0648\u0639\u0629 \u0644\u064a\u0633 \u0645\u062a\u0633\u0627\u0648\u064a\u064b\u0627. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0647\u0630\u0627 \u0644\u0627 \u064a\u062e\u0628\u0631\u0646\u0627 <em>\u0645\u0627 \u0647\u064a<\/em> \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0645\u0639\u0631\u0641\u0629 \u0630\u0644\u0643\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0625\u062c\u0631\u0627\u0621 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a-\u0645\u0627-\u0628\u0639\u062f-\u0627\u0644\u062a\u0628\u0627\u064a\u0646\/\" target=\"_blank\" rel=\"noopener\">\u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u0627\u062d\u0642<\/a> . \u0641\u064a \u0644\u063a\u0629 R\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <strong>TukeyHSD()<\/strong> \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Tukey post-hoc test\n<span style=\"color: #000000;\">TukeyHSD(model)\n\n$program\n         diff lwr upr p adj\nBA 0.9777414 0.1979466 1.757536 0.0100545\nCA 2.5454024 1.7656076 3.325197 0.0000000\nCB 1.5676610 0.7878662 2.347456 0.0000199\n<\/span><\/span><\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0625\u0644\u064a\u0643 \u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u062a\u0627\u0626\u062c:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u0644\u0644\u0641\u0631\u0642 \u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 A \u0648 B \u0647\u064a <strong>0.0100545<\/strong> .<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u0644\u0644\u0641\u0631\u0642 \u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 A \u0648 C \u0647\u064a <strong>0.0000000<\/strong> .<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u0644\u0644\u0641\u0631\u0642 \u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 B \u0648 C \u0647\u064a <strong>0.0000199<\/strong> .<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0628\u0645\u0627 \u0623\u0646 \u0643\u0644 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645 p \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u0623\u0642\u0644 \u0645\u0646 0.05\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 \u0647\u0646\u0627\u0643 \u0641\u0631\u0642 \u0643\u0628\u064a\u0631 \u0641\u064a \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0628\u064a\u0646 <em>\u0643\u0644<\/em> \u0645\u062c\u0645\u0648\u0639\u0629.<\/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\/\u0627\u062a\u062c\u0627\u0647-\u0648\u0627\u062d\u062f-\u0627\u0654\u0646\u0648\u0641\u0627\/\" target=\"_blank\" rel=\"noopener\">\u0645\u0642\u062f\u0645\u0629 \u0625\u0644\u0649 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0623\u062d\u0627\u062f\u064a (One-Way ANOVA).<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0641\u0631\u0636\u064a\u0627\u062a-\u062f\u0627\u0646\u0648\u0641\u0627\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0637\u0631\u064a\u0642\u0629-\u0648\u0627\u062d\u062f\u0629-\u0627\u0654\u0646\u0648\u0641\u0627-\u0639\u0644\u0649-\u063a\u0631\u0627\u0631-\u0644\u0627-\u0627\u0644\u0631\u064a\u0654\u064a\u0633\u064a\u0629\/\" 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 \u064a\u062f\u0648\u064a\u064b\u0627<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0637\u0631\u064a\u0642\u0629-\u0648\u0627\u062d\u062f\u0629-\u0627\u0653\u0644\u0629-\u062d\u0627\u0633\u0628\u0629-\u062f\u0627\u0646\u0648\u0641\u0627\/\" target=\"_blank\" rel=\"noopener\">\u0622\u0644\u0629 \u062d\u0627\u0633\u0628\u0629 ANOVA \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u0627\u062a\u062c\u0627\u0647<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 \u0641\u0631\u0642 \u0630\u0648 \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0628\u064a\u0646 \u0645\u062a\u0648\u0633\u0637\u0627\u062a \u062b\u0644\u0627\u062b \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u0633\u062a\u0642\u0644\u0629 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0623\u0645 \u0644\u0627. \u064a\u0648\u0641\u0631 \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u062f\u0644\u064a\u0644\u0627\u064b \u0643\u0627\u0645\u0644\u0627\u064b \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631 \u0646\u062a\u0627\u0626\u062c ANOVA \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0641\u064a R. \u0627\u0644\u062e\u0637\u0648\u0629 1: \u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0631\u064a\u062f \u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062b\u0644\u0627\u062b\u0629 \u0628\u0631\u0627\u0645\u062c \u062a\u062f\u0631\u064a\u0628\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u062a\u0624\u062f\u064a \u0625\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":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0627\u0644\u062f\u0644\u064a\u0644 \u0627\u0644\u0643\u0627\u0645\u0644: \u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631 \u0646\u062a\u0627\u0626\u062c ANOVA \u0641\u064a R<\/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 \u062a\u0641\u0633\u064a\u0631 \u0646\u062a\u0627\u0626\u062c ANOVA \u0641\u064a R\u060c \u0628\u0645\u0627 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