{"id":481,"date":"2023-07-29T18:24:50","date_gmt":"2023-07-29T18:24:50","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d9%85%d8%a7%d9%86%d9%88%d9%81%d8%a7-%d8%a7%d9%95%d9%84%d9%89-%d8%b5\/"},"modified":"2023-07-29T18:24:50","modified_gmt":"2023-07-29T18:24:50","slug":"%d9%85%d8%a7%d9%86%d9%88%d9%81%d8%a7-%d8%a7%d9%95%d9%84%d9%89-%d8%b5","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d9%85%d8%a7%d9%86%d9%88%d9%81%d8%a7-%d8%a7%d9%95%d9%84%d9%89-%d8%b5\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 manova \u0641\u064a r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\">\u0644\u0641\u0647\u0645 \u0645\u0627\u0646\u0648\u0641\u0627\u060c \u0645\u0646 \u0627\u0644\u0645\u0641\u064a\u062f \u0623\u0648\u0644\u0627\u064b \u0623\u0646 \u0646\u0641\u0647\u0645 \u0623\u0646\u0648\u0641\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 ( <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\">ANOVA<\/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;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0623\u0633\u0644\u0648\u0628 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0644\u0647 \u062a\u0623\u062b\u064a\u0631 \u0639\u0644\u0649 \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646 \u0644\u0641\u0635\u0644 \u0645\u0646 \u0627\u0644\u0637\u0644\u0627\u0628 \u0623\u0645 \u0644\u0627. \u0642\u0645\u0646\u0627 \u0628\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0641\u0635\u0644 \u0625\u0644\u0649 \u062b\u0644\u0627\u062b \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0628\u0634\u0643\u0644 \u0639\u0634\u0648\u0627\u0626\u064a. \u062a\u0633\u062a\u062e\u062f\u0645 \u0643\u0644 \u0645\u062c\u0645\u0648\u0639\u0629 \u0623\u0633\u0644\u0648\u0628 \u062f\u0631\u0627\u0633\u0629 \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0644\u0645\u062f\u0629 \u0634\u0647\u0631 \u0644\u0644\u062a\u062d\u0636\u064a\u0631 \u0644\u0644\u0627\u0645\u062a\u062d\u0627\u0646. \u0648\u0641\u064a \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0634\u0647\u0631\u060c \u064a\u0624\u062f\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0637\u0644\u0627\u0628 \u0646\u0641\u0633 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0623\u0633\u0644\u0648\u0628 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0644\u0647 \u062a\u0623\u062b\u064a\u0631 \u0639\u0644\u0649 \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646\u0627\u062a\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 (ANOVA) \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647\u060c \u0648\u0627\u0644\u0630\u064a \u0633\u064a\u062e\u0628\u0631\u0646\u0627 \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 \u062f\u0631\u062c\u0627\u062a \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;\">\u0641\u064a ANOVA \u0644\u062f\u064a\u0646\u0627 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u064a <strong>MANOVA<\/strong> (\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a)\u060c \u0644\u062f\u064a\u0646\u0627 \u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0645\u062a\u0639\u062f\u062f\u0629.<\/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\u0646\u0627 \u0646\u0631\u064a\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u0627 \u0647\u0648 \u062a\u0623\u062b\u064a\u0631 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062a\u0639\u0644\u064a\u0645 (\u0623\u064a \u0627\u0644\u0645\u062f\u0631\u0633\u0629 \u0627\u0644\u062b\u0627\u0646\u0648\u064a\u0629\u060c \u0648\u062f\u0631\u062c\u0629 \u0627\u0644\u0632\u0645\u0627\u0644\u0629\u060c \u0648\u062f\u0631\u062c\u0629 \u0627\u0644\u0628\u0643\u0627\u0644\u0648\u0631\u064a\u0648\u0633\u060c \u0648\u062f\u0631\u062c\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631\u060c \u0648\u0645\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643) \u0639\u0644\u0649 \u0643\u0644 \u0645\u0646 \u0627\u0644\u062f\u062e\u0644 \u0627\u0644\u0633\u0646\u0648\u064a \u0648\u0645\u0628\u0644\u063a \u062f\u064a\u0648\u0646 \u0627\u0644\u0637\u0644\u0627\u0628. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0644\u062f\u064a\u0646\u0627 \u0639\u0627\u0645\u0644 \u0648\u0627\u062d\u062f (\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062a\u0639\u0644\u064a\u0645) \u0648\u0645\u062a\u063a\u064a\u0631\u064a\u0646 \u0644\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 (\u0627\u0644\u062f\u062e\u0644 \u0627\u0644\u0633\u0646\u0648\u064a \u0648\u062f\u064a\u0648\u0646 \u0627\u0644\u0637\u0644\u0627\u0628)\u060c \u062d\u062a\u0649 \u0646\u062a\u0645\u0643\u0646 \u0645\u0646 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 MANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0630\u0627\u062a \u0635\u0644\u0629:<\/strong><\/span> \u0641\u0647\u0645 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 ANOVA \u0648ANCOVA \u0648MANOVA \u0648MANCOVA<\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 MANOVA \u0641\u064a R<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0633\u0646\u0648\u0636\u062d \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 MANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0641\u064a R \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062c\u0645\u0648\u0639\u0629 \u0628\u064a\u0627\u0646\u0627\u062a <strong>\u0627\u0644\u0642\u0632\u062d\u064a\u0629<\/strong> \u0627\u0644\u0645\u0636\u0645\u0646\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u062d\u0648\u0644 \u0637\u0648\u0644 \u0648\u0639\u0631\u0636 \u0642\u064a\u0627\u0633\u0627\u062a \u0627\u0644\u0632\u0647\u0648\u0631 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u062b\u0644\u0627\u062b\u0629 \u0623\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u0629 (&#8220;setosa&#8221;\u060c &#8220;virginica&#8221; \u060c &#8220;\u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u0623\u0644\u0648\u0627\u0646&#8221;):<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six rows of <em>iris<\/em> dataset<\/span>\nhead(iris)\n\n# Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n#1 5.1 3.5 1.4 0.2 setosa\n#2 4.9 3.0 1.4 0.2 setosa\n#3 4.7 3.2 1.3 0.2 setosa\n#4 4.6 3.1 1.5 0.2 setosa\n#5 5.0 3.6 1.4 0.2 setosa\n#6 5.4 3.9 1.7 0.4 setosa\n<\/strong><\/pre>\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 \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0644\u0623\u0646\u0648\u0627\u0639 \u062a\u0623\u062b\u064a\u0631 \u0639\u0644\u0649 \u0637\u0648\u0644 \u0627\u0644\u0643\u0623\u0633 \u0648\u0639\u0631\u0636\u0647. \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <em>\u0627\u0644\u0623\u0646\u0648\u0627\u0639<\/em> \u0643\u0645\u062a\u063a\u064a\u0631 \u0645\u0633\u062a\u0642\u0644\u060c <em>\u0648\u0637\u0648\u0644<\/em> <em>\u0648\u0639\u0631\u0636<\/em> \u0627\u0644\u0643\u0623\u0633 \u0643\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062c\u0631\u0627\u0621 MANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <strong>manova()<\/strong> \u0641\u064a R.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <strong>manova()<\/strong> \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<p style=\"text-align: left;;text-align:right;direction:rtl\"> <strong><span style=\"color: #000000;\">\u0645\u0627\u0646\u0648\u0641\u0627 (cbind (rv1\u060c rv2\u060c \u2026) ~ iv\u060c \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a)<\/span><\/strong><\/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>rv1\u060c rv2<\/strong> : \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 1\u060c \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 2\u060c \u0625\u0644\u062e.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0631\u0627\u0628\u0639<\/strong> : \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong> : \u0627\u0633\u0645 \u0625\u0637\u0627\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a \u0645\u062b\u0627\u0644\u0646\u0627 \u0645\u0639 \u0645\u062c\u0645\u0648\u0639\u0629 \u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0642\u0632\u062d\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0645\u0644\u0627\u0621\u0645\u0629 MANOVA \u0648\u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the MANOVA model<\/span>\nmodel &lt;- manova(cbind(Sepal.Length, Sepal.Width) ~ Species, data = iris)\n\n<span style=\"color: #008080;\">#view the results\n<\/span>summary(model)\n# Df Pillai approx F num Df den Df Pr(&gt;F)    \n#Species 2 0.94531 65.878 4,294 &lt; 2.2e-16 ***\n#Residuals 147                                             \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 F \u0647\u064a 65.878 \u0648\u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0635\u063a\u064a\u0631\u0629 \u0644\u0644\u063a\u0627\u064a\u0629. \u064a\u0634\u064a\u0631 \u0647\u0630\u0627 \u0625\u0644\u0649 \u0648\u062c\u0648\u062f \u0641\u0631\u0648\u0642 \u0630\u0627\u062a \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0641\u064a \u0642\u064a\u0627\u0633\u0627\u062a \u0627\u0644\u0643\u0623\u0633 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0646\u0648\u0639.<\/span><\/p>\n<blockquote style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u0646\u064a\u0629:<\/strong> \u0628\u0634\u0643\u0644 \u0627\u0641\u062a\u0631\u0627\u0636\u064a\u060c \u064a\u0633\u062a\u062e\u062f\u0645 manova() \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 <em>Pillai<\/em> . \u0648\u0628\u0645\u0627 \u0623\u0646 \u062a\u0648\u0632\u064a\u0639 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0647\u0630\u0647 \u0645\u0639\u0642\u062f\u060c \u064a\u062a\u0645 \u0623\u064a\u0636\u064b\u0627 \u062a\u0648\u0641\u064a\u0631 \u0642\u064a\u0645\u0629 F \u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0644\u062a\u0633\u0647\u064a\u0644 \u0627\u0644\u062a\u0641\u0633\u064a\u0631.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u0645\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f &#8220;Roy&#8221; \u0623\u0648 &#8220;Hotelling-Lawley&#8221; \u0623\u0648 &#8220;Wilks&#8221; \u0643\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: Summary(model, test = &#8216;Wilks&#8217;)<\/span><\/p>\n<\/blockquote>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u0623\u062b\u0631 <em>\u0637\u0648\u0644<\/em> <em>\u0648\u0639\u0631\u0636<\/em> \u0627\u0644\u0643\u0623\u0633 <em>\u0628\u0627\u0644\u0623\u0646\u0648\u0627\u0639<\/em> \u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <strong>Summary.aov()<\/strong> \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>summary.aov(model)\n\n\n# Response Sepal.Length:\n# Df Sum Sq Mean Sq F value Pr(&gt;F)    \n#Species 2 63.212 31.606 119.26 &lt; 2.2e-16 ***\n#Residuals 147 38.956 0.265                      \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\n# Response Sepal.Width:\n# Df Sum Sq Mean Sq F value Pr(&gt;F)    \n#Species 2 11.345 5.6725 49.16 &lt; 2.2e-16 ***\n#Residuals 147 16.962 0.1154                      \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0645\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0623\u0646 \u0627\u0644\u0642\u064a\u0645 p \u0644\u0643\u0644\u0627 ANOVAs \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0645\u0646\u062e\u0641\u0636\u0629 \u0644\u0644\u063a\u0627\u064a\u0629 (&lt;2.2e-16)\u060c \u0645\u0645\u0627 \u064a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0623\u0646 <em>\u0627\u0644\u0623\u0646\u0648\u0627\u0639<\/em> \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 <em>\u0639\u0631\u0636<\/em> <em>\u0627\u0644\u0643\u0623\u0633<\/em> \u0648\u0637\u0648\u0644\u0647.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <strong><span style=\"color: #000000;\">\u062a\u0635\u0648\u0631 \u0645\u0648\u0627\u0631\u062f \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629<\/span><\/strong><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0642\u062f \u064a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0645\u0641\u064a\u062f \u0623\u064a\u0636\u064b\u0627 \u062a\u0635\u0648\u0631 \u0648\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0644\u0643\u0644 \u0645\u0633\u062a\u0648\u0649 \u0645\u0646 <em>\u0623\u0646\u0648\u0627\u0639\u0646\u0627<\/em> \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0629 \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0644\u0641\u0647\u0645 \u0646\u062a\u0627\u0626\u062c\u0646\u0627 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644.<\/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 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0643\u062a\u0628\u0629 <strong>gplots<\/strong> \u0648\u0627\u0644\u062f\u0627\u0644\u0629 <strong>plotmeans()<\/strong> \u200e \u0644\u062a\u0635\u0648\u0631 <em>\u0645\u062a\u0648\u0633\u0637 \u0637\u0648\u0644 \u0627\u0644\u0643\u0623\u0633\u064a\u0629<\/em> \u062d\u0633\u0628 <em>\u0627\u0644\u0623\u0646\u0648\u0627\u0639<\/em> :<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load <em>gplots<\/em> library<\/span>\nlibrary(gplots)\n\n<span style=\"color: #008080;\">#visualize mean <em>sepal length<\/em> by <em>species<\/em>\n<\/span>plotmeans(iris$Sepal.Length ~ iris$Species)<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0645\u062a\u0648\u0633\u0637 \u0637\u0648\u0644 \u0627\u0644\u0643\u0623\u0633 \u064a\u062e\u062a\u0644\u0641 \u0628\u0634\u0643\u0644 \u0643\u0628\u064a\u0631 \u0628\u064a\u0646 \u0627\u0644\u0623\u0646\u0648\u0627\u0639. \u0648\u0647\u0630\u0627 \u064a\u0637\u0627\u0628\u0642 \u0646\u062a\u0627\u0626\u062c \u0627\u062e\u062a\u0628\u0627\u0631 MANOVA\u060c \u0627\u0644\u0630\u064a \u0623\u062e\u0628\u0631\u0646\u0627 \u0628\u0648\u062c\u0648\u062f \u0641\u0631\u0642 \u0630\u0648 \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0641\u064a \u0642\u064a\u0627\u0633\u0627\u062a \u0627\u0644\u0643\u0623\u0633 \u0639\u0628\u0631 \u0627\u0644\u0623\u0646\u0648\u0627\u0639.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u062a\u0635\u0648\u0631 <em>\u0645\u062a\u0648\u0633\u0637 \u0639\u0631\u0636 \u0627\u0644\u0643\u0623\u0633\u064a\u0629<\/em> \u062d\u0633\u0628 <em>\u0627\u0644\u0623\u0646\u0648\u0627\u0639<\/em> :<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>plotmeans(iris$Sepal.Width ~ iris$Species)<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0631\u0627\u062c\u0639 \u0627\u0644\u0648\u062b\u0627\u0626\u0642 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0648\u0638\u064a\u0641\u0629 <strong>manova()<\/strong> <a href=\"https:\/\/www.rdocumentation.org\/packages\/stats\/versions\/3.5.2\/topics\/manova\" target=\"_blank\" rel=\"noopener\">\u0647\u0646\u0627<\/a> .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0644\u0641\u0647\u0645 \u0645\u0627\u0646\u0648\u0641\u0627\u060c \u0645\u0646 \u0627\u0644\u0645\u0641\u064a\u062f \u0623\u0648\u0644\u0627\u064b \u0623\u0646 \u0646\u0641\u0647\u0645 \u0623\u0646\u0648\u0641\u0627. \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 ( ANOVA ) \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. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0623\u0633\u0644\u0648\u0628 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0644\u0647 \u062a\u0623\u062b\u064a\u0631 \u0639\u0644\u0649 \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646 \u0644\u0641\u0635\u0644 \u0645\u0646 \u0627\u0644\u0637\u0644\u0627\u0628 \u0623\u0645 \u0644\u0627. 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