<\/p>\n
\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 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 \u064a\u064f\u0637\u0644\u0642 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0633\u0645 ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647<\/em> \u0644\u0623\u0646\u0646\u0627 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u062a\u0623\u062b\u064a\u0631 \u0645\u062a\u063a\u064a\u0631<\/em> \u0627\u0644\u062a\u0648\u0642\u0639 \u0639\u0644\u0649 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629.<\/span><\/p>\n \u0645\u0644\u062d\u0648\u0638\u0629<\/strong> : \u0625\u0630\u0627 \u0643\u0646\u0627 \u0645\u0647\u062a\u0645\u064a\u0646 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0630\u0644\u0643 \u0628\u062a\u0623\u062b\u064a\u0631 \u0645\u062a\u063a\u064a\u0631\u064a\u0646 \u0645\u062a\u0648\u0642\u0639\u064a\u0646 \u0639\u0644\u0649 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 (ANOVA) \u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647<\/a> .<\/span><\/p>\n \u064a\u0648\u0636\u062d \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \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.<\/span><\/p>\n \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\u0645\u0631\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0647\u0627 \u062a\u0623\u062b\u064a\u0631 \u0645\u062e\u062a\u0644\u0641 \u0639\u0644\u0649 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646. \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0627\u0644\u0630\u064a \u0646\u062f\u0631\u0633\u0647 \u0647\u0648 \u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0645\u0631\u064a\u0646<\/em> \u0648\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629<\/a> \u0647\u0648 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646\u060c<\/em> \u0648\u064a\u0642\u0627\u0633 \u0628\u0627\u0644\u062c\u0646\u064a\u0647.<\/span><\/p>\n \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 \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 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0627\u0644\u0646\u0627\u062a\u062c \u0639\u0646 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629.<\/span><\/p>\n \u0642\u0645\u0646\u0627 \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 \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 \u064a\u064f\u0638\u0647\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0625\u0637\u0627\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u0630\u064a \u0634\u0627\u0631\u0643 \u0641\u064a\u0647 \u0627\u0644\u0634\u062e\u0635 \u0644\u0645\u062f\u0629 \u0634\u0647\u0631\u060c \u0648\u064a\u064f\u0638\u0647\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0625\u062c\u0645\u0627\u0644\u064a \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0627\u0644\u0630\u064a \u062a\u0639\u0631\u0636 \u0644\u0647 \u0627\u0644\u0634\u062e\u0635 \u0641\u064a \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c\u060c \u0645\u064f\u0642\u0627\u0633\u064b\u0627 \u0628\u0627\u0644\u062c\u0646\u064a\u0647.<\/span><\/p>\n \u0642\u0628\u0644 \u062d\u062a\u0649 \u062a\u0631\u0643\u064a\u0628 \u0646\u0645\u0648\u0630\u062c ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0641\u0647\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u0648\u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0644\u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u0643\u0644 \u0628\u0631\u0646\u0627\u0645\u062c \u0645\u0646 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062d\u0632\u0645\u0629 dplyr<\/strong> :<\/span><\/p>\n \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0625\u0646\u0634\u0627\u0621 \u0645\u062e\u0637\u0637 \u0645\u0631\u0628\u0639 \u0644\u0643\u0644 \u0628\u0631\u0646\u0627\u0645\u062c \u0645\u0646 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0644\u062a\u0635\u0648\u0631 \u062a\u0648\u0632\u064a\u0639 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u0643\u0644 \u0628\u0631\u0646\u0627\u0645\u062c:<\/span><\/p>\n \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u0645\u0631\u0628\u0639\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0647\u0648 \u0627\u0644\u0623\u0639\u0644\u0649 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c C \u0648\u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0647\u0648 \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c A.<\/span><\/p>\n \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a (“\u0637\u0648\u0644” \u0645\u062e\u0637\u0637 boxplot) \u0644\u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0623\u0639\u0644\u0649 \u0642\u0644\u064a\u0644\u0627\u064b \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c C \u0645\u0642\u0627\u0631\u0646\u0629\u064b \u0628\u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c\u064a\u0646 \u0627\u0644\u0622\u062e\u0631\u064a\u0646.<\/span><\/p>\n \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u0644\u0627\u0626\u0645 \u0646\u0645\u0648\u0630\u062c ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0645\u0639 \u0628\u064a\u0627\u0646\u0627\u062a\u0646\u0627 \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0630\u0647 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0627\u0644\u0645\u0631\u0626\u064a\u0629 \u0630\u0627\u062a \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0628\u0627\u0644\u0641\u0639\u0644.<\/span><\/p>\n \u0628\u0646\u0627\u0621 \u0627\u0644\u062c\u0645\u0644\u0629 \u0627\u0644\u0639\u0627\u0645 \u0644\u062a\u0631\u0643\u064a\u0628 \u0646\u0645\u0648\u0630\u062c ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0641\u064a R \u0647\u0648:<\/span><\/p>\n aov (\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 ~ \u062a\u0648\u0642\u0639_\u0645\u062a\u063a\u064a\u0631\u060c \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a = \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a)<\/span><\/strong><\/p>\n \u0641\u064a \u0645\u062b\u0627\u0644\u0646\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0645\u0644\u0627\u0621\u0645\u0629 \u0646\u0645\u0648\u0630\u062c ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 Weight_loss<\/em> \u0643\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0648\u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c<\/em> \u0643\u0645\u062a\u063a\u064a\u0631 \u0645\u062a\u0648\u0642\u0639. \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0639\u062f \u0630\u0644\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 Summary()<\/strong> \u0644\u0639\u0631\u0636 \u0646\u062a\u064a\u062c\u0629 \u0646\u0645\u0648\u0630\u062c\u0646\u0627:<\/span><\/p>\n \u0648\u0645\u0646 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0628\u0631\u0646\u0627\u0645\u062c<\/em> \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0646\u0628\u0624\u064a\u0629 \u0644\u0647 \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0639\u0646\u062f \u0645\u0633\u062a\u0648\u0649 \u062f\u0644\u0627\u0644\u0629 0.05.<\/span><\/p>\n \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \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 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0627\u0644\u0646\u0627\u062a\u062c \u0639\u0646 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629.<\/span><\/p>\n \u0642\u0628\u0644 \u0623\u0646 \u0646\u0630\u0647\u0628 \u0625\u0644\u0649 \u0623\u0628\u0639\u062f \u0645\u0646 \u0630\u0644\u0643\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a<\/a> \u0646\u0645\u0648\u0630\u062c\u0646\u0627 \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0646\u062a\u0627\u0626\u062c \u0646\u0645\u0648\u0630\u062c\u0646\u0627 \u0645\u0648\u062b\u0648\u0642\u0629. \u0639\u0644\u0649 \u0648\u062c\u0647 \u0627\u0644\u062e\u0635\u0648\u0635\u060c \u064a\u0641\u062a\u0631\u0636 ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647:<\/span><\/p>\n 1. \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644<\/strong> \u2013 \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0643\u0644 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0633\u062a\u0642\u0644\u0629 \u0639\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636. \u0648\u0628\u0645\u0627 \u0623\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0645\u0646\u0627<\/span> \u062a\u0635\u0645\u064a\u0645\u064b\u0627 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627 (\u0623\u064a \u0642\u0645\u0646\u0627 \u0628\u062a\u0639\u064a\u064a\u0646 \u0627\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062a\u0645\u0631\u064a\u0646 \u0628\u0634\u0643\u0644 \u0639\u0634\u0648\u0627\u0626\u064a)\u060c \u0641\u064a\u062c\u0628 \u062a\u0644\u0628\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636 \u062d\u062a\u0649 \u0644\u0627 \u062f\u0627\u0639\u064a \u0644\u0644\u0642\u0644\u0642 \u0643\u062b\u064a\u0631\u064b\u0627 \u0628\u0634\u0623\u0646\u0647.<\/span><\/p>\n 2. \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/strong> \u2013 \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0644\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u062a\u0627\u0628\u0639 \u062a\u0648\u0632\u064a\u0639 \u0637\u0628\u064a\u0639\u064a \u062a\u0642\u0631\u064a\u0628\u064b\u0627 \u0644\u0643\u0644 \u0645\u0633\u062a\u0648\u0649 \u0645\u0646 \u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u062a\u0648\u0642\u0639.<\/span><\/p>\n 3. \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0645\u062a\u0633\u0627\u0648\u064a<\/strong> \u2013 \u0627\u0644\u062a\u0628\u0627\u064a\u0646\u0627\u062a \u0644\u0643\u0644 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0623\u0648 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u062a\u0642\u0631\u064a\u0628\u064b\u0627.<\/span><\/p>\n \u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/strong> \u0648\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0645\u062a\u0633\u0627\u0648\u064a<\/strong> \u0647\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 plot()<\/strong> \u060c \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u062c \u0623\u0631\u0628\u0639 \u0645\u062e\u0637\u0637\u0627\u062a \u0644\u0641\u062d\u0635 \u0627\u0644\u0646\u0645\u0627\u0630\u062c. \u0639\u0644\u0649 \u0648\u062c\u0647 \u0627\u0644\u062e\u0635\u0648\u0635\u060c \u0646\u062d\u0646 \u0645\u0647\u062a\u0645\u0648\u0646 \u0628\u0634\u0643\u0644 \u062e\u0627\u0635 \u0628\u0627\u0644\u0642\u0637\u0639\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646:<\/span><\/p>\n \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0625\u0646\u062a\u0627\u062c \u0645\u062e\u0637\u0637\u0627\u062a \u0641\u062d\u0635 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0647\u0630\u0647:<\/span><\/p>\n \u064a\u0633\u0645\u062d \u0644\u0646\u0627 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a QQ<\/em> \u0623\u0639\u0644\u0627\u0647 \u0628\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636 \u0627\u0644\u0637\u0628\u064a\u0639\u064a. \u0645\u0646 \u0627\u0644\u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u0645\u062b\u0627\u0644\u064a\u0629\u060c \u062a\u0642\u0639 \u0627\u0644\u0645\u062e\u0644\u0641\u0627\u062a \u0627\u0644\u0645\u0648\u062d\u062f\u0629 \u0639\u0644\u0649 \u0637\u0648\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0642\u0637\u0631\u064a \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645 \u0644\u0642\u0637\u0639\u0629 \u0627\u0644\u0623\u0631\u0636. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0623\u0639\u0644\u0627\u0647 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u062a\u0646\u062d\u0631\u0641 \u0642\u0644\u064a\u0644\u0627\u064b \u0639\u0646 \u0627\u0644\u062e\u0637 \u0646\u062d\u0648 \u0627\u0644\u0628\u062f\u0627\u064a\u0629 \u0648\u0627\u0644\u0646\u0647\u0627\u064a\u0629. \u064a\u0634\u064a\u0631 \u0647\u0630\u0627 \u0625\u0644\u0649 \u0623\u0646\u0647 \u0642\u062f \u064a\u062a\u0645 \u0627\u0646\u062a\u0647\u0627\u0643 \u0627\u0641\u062a\u0631\u0627\u0636\u0646\u0627 \u0627\u0644\u0637\u0628\u064a\u0639\u064a.<\/span><\/p>\n \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0645\u0642\u0627\u0628\u0644.<\/em> \u064a\u0633\u0645\u062d \u0644\u0646\u0627 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u0645\u0639\u062f\u0644<\/em> \u0623\u0639\u0644\u0627\u0647 \u0628\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0641\u062a\u0631\u0627\u0636\u0646\u0627 \u0628\u0648\u062c\u0648\u062f \u0641\u0631\u0648\u0642 \u0645\u062a\u0633\u0627\u0648\u064a\u0629. \u0648\u0645\u0646 \u0627\u0644\u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u0645\u062b\u0627\u0644\u064a\u0629\u060c \u0646\u0648\u062f \u0623\u0646 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0628\u0627\u0644\u062a\u0633\u0627\u0648\u064a \u0644\u0643\u0644 \u0645\u0633\u062a\u0648\u0649 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062c\u0647\u0632\u0629.<\/span><\/p>\n \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0645\u0646\u062a\u0634\u0631\u0629 \u0628\u0634\u0643\u0644 \u0623\u0643\u0628\u0631 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0642\u064a\u0645 \u0627\u0644\u0623\u0639\u0644\u0649 \u0627\u0644\u0645\u062c\u0647\u0632\u0629\u060c \u0645\u0645\u0627 \u064a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0623\u0646 \u0627\u0641\u062a\u0631\u0627\u0636\u0646\u0627 \u0628\u0634\u0623\u0646 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629 \u0641\u064a \u0627\u0644\u062a\u0628\u0627\u064a\u0646\u0627\u062a<\/a> \u0642\u062f \u064a\u062a\u0645 \u0627\u0646\u062a\u0647\u0627\u0643\u0647.<\/span><\/p>\n \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062a\u0628\u0627\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0631\u0633\u0645\u064a\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u064a\u0641\u064a\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062d\u0632\u0645\u0629 \u0627\u0644\u0633\u064a\u0627\u0631\u0629<\/strong> :<\/span><\/p>\n \u0627\u0644\u0642\u064a\u0645\u0629 p \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0647\u064a 0.01862<\/strong> . \u0625\u0630\u0627 \u0627\u0633\u062a\u062e\u062f\u0645\u0646\u0627 \u0645\u0633\u062a\u0648\u0649 \u062f\u0644\u0627\u0644\u0629 0.05\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0627\u0644\u0642\u0627\u0626\u0644\u0629 \u0628\u0623\u0646 \u0627\u0644\u062a\u0628\u0627\u064a\u0646\u0627\u062a \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0639\u0628\u0631 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0627\u0633\u062a\u062e\u062f\u0645\u0646\u0627 \u0645\u0633\u062a\u0648\u0649 \u062f\u0644\u0627\u0644\u0629 0.01\u060c \u0641\u0644\u0646 \u0646\u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645.<\/span><\/p>\n \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646\u0646\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u0646\u062d\u0627\u0648\u0644 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0644\u0644\u062a\u0623\u0643\u062f \u0645\u0646 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a\u0646\u0627 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u062d\u064a\u0627\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0645\u0633\u0627\u0648\u0627\u0629 \u0627\u0644\u062a\u0628\u0627\u064a\u0646\u0627\u062a\u060c \u0625\u0644\u0627 \u0623\u0646\u0646\u0627 \u0644\u0646 \u0646\u0642\u0644\u0642 \u0643\u062b\u064a\u0631\u064b\u0627 \u0628\u0634\u0623\u0646 \u0630\u0644\u0643 \u0641\u064a \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u062d\u0627\u0644\u064a.<\/span><\/p>\n \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c (\u0623\u0648 \u0627\u0633\u062a\u064a\u0641\u0627\u0626\u0647\u0627 \u0628\u0634\u0643\u0644 \u0645\u0639\u0642\u0648\u0644)\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0639\u062f \u0630\u0644\u0643 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u0627\u062d\u0642 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0639\u0644\u0627\u062c \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636 \u0628\u0627\u0644\u0636\u0628\u0637.<\/span><\/p>\n \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0644\u0627\u062d\u0642 \u0627\u0644\u062e\u0627\u0635 \u0628\u0646\u0627\u060c \u0633\u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 TukeyHSD()<\/strong> \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 Tukey \u0644\u0625\u062c\u0631\u0627\u0621 \u0645\u0642\u0627\u0631\u0646\u0627\u062a \u0645\u062a\u0639\u062f\u062f\u0629:<\/span><\/p>\n \u062a\u0634\u064a\u0631 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0625\u0644\u0649 \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 \u0643\u0644 \u0628\u0631\u0646\u0627\u0645\u062c \u0623\u0645 \u0644\u0627. \u0648\u0623\u0638\u0647\u0631\u062a \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0648\u062c\u0648\u062f \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\u0644\u0648\u0632\u0646 \u0627\u0644\u0645\u0641\u0642\u0648\u062f \u0644\u0643\u0644 \u0628\u0631\u0646\u0627\u0645\u062c \u0639\u0646\u062f \u0645\u0633\u062a\u0648\u0649 \u062f\u0644\u0627\u0644\u0629 0.05.<\/span><\/p>\n \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u062a\u0635\u0648\u0631 \u0641\u0648\u0627\u0635\u0644 \u0627\u0644\u062b\u0642\u0629 95% \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0639\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 Tukey \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0648\u0638\u064a\u0641\u0629 \u0645\u0624\u0627\u0645\u0631\u0629 (TukeyHSD ())<\/strong> \u0641\u064a R:<\/span><\/p>\n \u062a\u062a\u0648\u0627\u0641\u0642 \u0646\u062a\u0627\u0626\u062c \u0641\u062a\u0631\u0627\u062a \u0627\u0644\u062b\u0642\u0629 \u0645\u0639 \u0646\u062a\u0627\u0626\u062c \u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a.<\/span><\/p>\n \u0648\u0628\u0634\u0643\u0644 \u062e\u0627\u0635 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0623\u064a\u0627\u064b \u0645\u0646 \u0641\u062a\u0631\u0627\u062a \u0627\u0644\u062b\u0642\u0629 \u0644\u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0628\u064a\u0646 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0644\u0627 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0627\u0644\u0642\u064a\u0645\u0629 \u0635\u0641\u0631<\/em> \u060c \u0645\u0645\u0627 \u064a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0648\u062c\u0648\u062f \u0641\u0631\u0642 \u0630\u0648 \u062f\u0644\u0627\u0644\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0641\u064a \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0628\u064a\u0646 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629.<\/span><\/p>\n \u0648\u0647\u0630\u0627 \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0643\u0648\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 p<\/a>\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a<\/a> \u0641\u0631\u0636\u064a\u062a\u0646\u0627 \u0623\u0642\u0644 \u0645\u0646 0.05.<\/span><\/p>\n \u0648\u0623\u062e\u064a\u0631\u0627\u064b \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0642\u0631\u064a\u0631 \u0646\u062a\u0627\u0626\u062c \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0623\u062d\u0627\u062f\u064a \u0628\u0637\u0631\u064a\u0642\u0629 \u062a\u0644\u062e\u0635 \u0627\u0644\u0646\u062a\u0627\u0626\u062c:<\/span><\/p>\n \u062a\u0645 \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 \u0644\u0641\u062d\u0635 \u062a\u0623\u062b\u064a\u0631\u0627\u062a \u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0645\u0631\u064a\u0646 <\/em> \u0639\u0644\u0649 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 (\u062a\u0642\u0627\u0633 \u0628\u0627\u0644\u062c\u0646\u064a\u0647).<\/em> \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 \u0622\u062b\u0627\u0631 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0639\u0644\u0649 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 (F(2\u060c 87) = 30.83\u060c \u0639 = 7.55e-11).<\/span> \u062a\u0645 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a HSD \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0640 Tukey.<\/span><\/p>\n \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c C \u0623\u0643\u0628\u0631 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c B (P <0.0001).<\/span><\/p>\n \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c C \u0623\u0643\u0628\u0631 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c A (P <0.0001).<\/span><\/p>\n \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0643\u0627\u0646 \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c B \u0623\u0643\u0628\u0631 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 \u0645\u062a\u0648\u0633\u0637 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0644\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c A (\u0639 = 0.01).<\/span><\/p>\n \u062a\u0648\u0641\u0631 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0625\u0636\u0627\u0641\u064a\u0629 \u062d\u0648\u0644 \u062a\u062d\u0644\u064a\u0644\u0627\u062a \u0627\u0644\u062a\u0628\u0627\u064a\u0646 (ANOVAs) \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u0627\u062a\u062c\u0627\u0647:<\/span><\/p>\n \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> \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\u064f\u0637\u0644\u0642 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0633\u0645 ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0623\u0646\u0646\u0627 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u062a\u0623\u062b\u064a\u0631 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u062a\u0648\u0642\u0639 \u0639\u0644\u0649 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629. \u0645\u0644\u062d\u0648\u0638\u0629 : \u0625\u0630\u0627 \u0643\u0646\u0627 \u0645\u0647\u062a\u0645\u064a\u0646 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0630\u0644\u0643 \u0628\u062a\u0623\u062b\u064a\u0631 \u0645\u062a\u063a\u064a\u0631\u064a\u0646 \u0645\u062a\u0648\u0642\u0639\u064a\u0646 \u0639\u0644\u0649 \u0645\u062a\u063a\u064a\u0631 […]<\/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":"\n \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<\/strong><\/span><\/h2>\n
\u062e\u0644\u0641\u064a\u0629<\/strong><\/span><\/h3>\n
#make this example reproducible\nset.seed(0)\n<\/span>\n#create data frame\ndata <- data.frame(program = rep(c(\"A\", \"B\", \"C\"), 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\nhead(data)\n<\/span>\n# program weight_loss\n#1 A 2.6900916\n#2 A 0.7965260\n#3 A 1.1163717\n#4 A 1.7185601\n#5 A 2.7246234\n#6 A 0.6050458<\/span>\n<\/span><\/strong><\/pre>\n \u0627\u0633\u062a\u0643\u0634\u0641 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong><\/span><\/h3>\n
#load dplyr<\/em> package<\/span>\nlibrary<\/span> (dplyr)\n\n#find mean and standard deviation of weight loss for each treatment group<\/span>\ndata %>%\n group_by<\/span> (program) %>%\n summarize<\/span> (mean = mean(weight_loss),\n sd = sd(weight_loss))\n\n# A tibble: 3 x 3\n# program mean sd\n# \n#1 A 1.58 0.905\n#2 B 2.56 1.24 \n#3 C 4.13 1.57 \n<\/strong><\/pre>\n #create boxplots\n<\/span>boxplot(weight_loss ~ program,\ndata = data,\nmain = \"Weight Loss Distribution by Program\",\nxlab = \"Program\",\nylab = \"Weight Loss\",\ncol = \"steelblue\",\nborder = \"black\")<\/strong><\/pre>\n \u062a\u0631\u0643\u064a\u0628 \u0646\u0645\u0648\u0630\u062c ANOVA \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647<\/strong><\/span><\/h3>\n
#fit the one-way ANOVA model<\/span>\nmodel <- aov(weight_loss ~ program, data = data)\n\n#view the model output<\/span>\nsummary(model)\n\n# Df Sum Sq Mean Sq F value Pr(>F) \n#program 2 98.93 49.46 30.83 7.55e-11 ***\n#Residuals 87 139.57 1.60 \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/strong><\/span><\/h3>\n
\n
plot(model)<\/span><\/strong><\/span><\/pre>\n #load car package\n<\/span>library<\/span> (car)\n\n#conduct Levene's Test for equality of variances\n<\/span>leveneTest(weight_loss ~ program, data = data)\n\n#Levene's Test for Homogeneity of Variance (center = median)\n# Df F value Pr(>F) \n#group 2 4.1716 0.01862 *\n#87 \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0627\u0644\u0639\u0644\u0627\u062c\u064a\u0629<\/strong><\/span><\/h3>\n
#perform Tukey's Test for multiple comparisons\n<\/span>TukeyHSD(model, conf.level=.95) \n\n#Tukey multiple comparisons of means\n# 95% family-wise confidence level\n#\n#Fit: aov(formula = weight_loss ~ program, data = data)\n#\n#$program\n# diff lwr upr p adj\n#BA 0.9777414 0.1979466 1.757536 0.0100545\n#CA 2.5454024 1.7656076 3.325197 0.0000000\n#CB 1.5676610 0.7878662 2.347456 0.0000199\n<\/strong><\/pre>\n #create confidence interval for each comparison\n<\/span>plot(TukeyHSD(model, conf.level=.95), las = 2)\n<\/strong><\/pre>\n \u0627\u0644\u0625\u0628\u0644\u0627\u063a \u0639\u0646 \u0646\u062a\u0627\u0626\u062c ANOVA \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u0627\u062a\u062c\u0627\u0647<\/span><\/strong><\/h3>\n
\u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h3>\n
\u062f\u0644\u064a\u0644 \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627 \u0628\u0639\u062f \u0627\u0644\u0645\u062e\u0635\u0635 \u0645\u0639 ANOVA<\/a>
\u0627\u0644\u062f\u0644\u064a\u0644 \u0627\u0644\u0643\u0627\u0645\u0644: \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0625\u0628\u0644\u0627\u063a \u0639\u0646 \u0646\u062a\u0627\u0626\u062c ANOVA<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"