{"id":419,"date":"2023-07-30T01:30:00","date_gmt":"2023-07-30T01:30:00","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d9%85%d8%a7%d9%86-%d9%88%d9%8a%d8%aa%d9%86%d9%8a-%d9%8a%d9%88\/"},"modified":"2023-07-30T01:30:00","modified_gmt":"2023-07-30T01:30:00","slug":"%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d9%85%d8%a7%d9%86-%d9%88%d9%8a%d8%aa%d9%86%d9%8a-%d9%8a%d9%88","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d9%85%d8%a7%d9%86-%d9%88%d9%8a%d8%aa%d9%86%d9%8a-%d9%8a%d9%88\/","title":{"rendered":"\u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648"},"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 <strong>\u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648<\/strong> (\u064a\u0633\u0645\u0649 \u0623\u062d\u064a\u0627\u0646\u064b\u0627 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u062c\u0645\u0648\u0639 \u0631\u062a\u0628 \u0648\u064a\u0644\u0643\u0648\u0643\u0633\u0648\u0646) \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u0639\u064a\u0646\u062a\u064a\u0646 \u0645\u0633\u062a\u0642\u0644\u062a\u064a\u0646 \u0639\u0646\u062f\u0645\u0627 \u0644\u0627 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u0629 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a \u0648\u062a\u0643\u0648\u0646 \u0623\u062d\u062c\u0627\u0645 \u0627\u0644\u0639\u064a\u0646\u0629 \u0635\u063a\u064a\u0631\u0629 (\u0646 &lt;30).<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u064a\u0639\u062a\u0628\u0631 \u0627\u0644\u0645\u0639\u0627\u062f\u0644 \u0627\u0644\u0644\u0627\u0645\u0639\u0644\u0645\u064a \u0644\u0627\u062e\u062a\u0628\u0627\u0631 t \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u0639\u064a\u0646\u062a\u064a\u0646 .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0628\u0639\u0636 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0648\u0642\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646\u0643 \u0641\u064a\u0647\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u062e\u062a\u0628\u0627\u0631 Mann-Whitney U:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0631\u064a\u062f \u0645\u0642\u0627\u0631\u0646\u0629 \u0631\u0648\u0627\u062a\u0628 \u062e\u0645\u0633\u0629 \u062e\u0631\u064a\u062c\u064a\u0646 \u0645\u0646 \u0627\u0644\u062c\u0627\u0645\u0639\u0629 (\u0623) \u0628\u0631\u0648\u0627\u062a\u0628 \u062e\u0645\u0633\u0629 \u062e\u0631\u064a\u062c\u064a\u0646 \u0645\u0646 \u0627\u0644\u062c\u0627\u0645\u0639\u0629 (\u0628). \u0644\u0627 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0631\u0648\u0627\u062a\u0628 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u064a\u062e\u062a\u0644\u0641 \u0628\u064a\u0646 \u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646: 12 \u0634\u062e\u0635\u064b\u0627 \u064a\u0633\u062a\u062e\u062f\u0645\u0648\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u063a\u0630\u0627\u0626\u064a &#8220;\u0623&#8221; \u064810 \u0623\u0634\u062e\u0627\u0635 \u064a\u0633\u062a\u062e\u062f\u0645\u0648\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u063a\u0630\u0627\u0626\u064a &#8220;\u0628&#8221;. \u0644\u0627 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0648\u0632\u0646 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062f\u0631\u062c\u0627\u062a 8 \u0637\u0644\u0627\u0628 \u0641\u064a \u0627\u0644\u0641\u0635\u0644 &#8220;\u0623&#8221; \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 \u062f\u0631\u062c\u0627\u062a 7 \u0637\u0644\u0627\u0628 \u0641\u064a \u0627\u0644\u0641\u0635\u0644 &#8220;\u0628&#8221;. \u0644\u0627 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062f\u0631\u062c\u0627\u062a \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a.<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a \u0643\u0644 \u0645\u062b\u0627\u0644\u060c \u062a\u0631\u064a\u062f \u0645\u0642\u0627\u0631\u0646\u0629 \u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646\u060c \u0648\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0644\u064a\u0633\u062a \u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u0623\u062d\u062c\u0627\u0645 \u0627\u0644\u0639\u064a\u0646\u0627\u062a \u0635\u063a\u064a\u0631\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648 \u064a\u0643\u0648\u0646 \u0645\u0646\u0627\u0633\u0628\u064b\u0627 \u0637\u0627\u0644\u0645\u0627 \u062a\u0645 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <strong><span style=\"color: #000000;\">\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648<\/span><\/strong><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0642\u0628\u0644 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0644\u062a\u0623\u0643\u062f \u0645\u0646 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u0623\u0631\u0628\u0639\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>\u0639\u0627\u062f\u064a \u0623\u0648 \u0645\u0633\u062a\u0645\u0631:<\/strong> \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0630\u064a \u062a\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644\u0647 \u0647\u0648 \u062a\u0631\u062a\u064a\u0628\u064a \u0623\u0648 \u0645\u0633\u062a\u0645\u0631. \u062a\u062a\u0636\u0645\u0646 \u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0631\u062a\u064a\u0628\u064a\u0629 \u0639\u0646\u0627\u0635\u0631 \u0644\u064a\u0643\u0631\u062a (\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0645\u0642\u064a\u0627\u0633 \u0645\u0643\u0648\u0646 \u0645\u0646 5 \u0646\u0642\u0627\u0637 \u064a\u062a\u0631\u0627\u0648\u062d \u0645\u0646 &#8220;\u0644\u0627 \u0623\u0648\u0627\u0641\u0642 \u0628\u0634\u062f\u0629&#8221; \u0625\u0644\u0649 &#8220;\u0623\u0648\u0627\u0641\u0642 \u0628\u0634\u062f\u0629&#8221;). \u062a\u062a\u0636\u0645\u0646 \u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0627\u0644\u0627\u0631\u062a\u0641\u0627\u0639 (\u0645\u0642\u0627\u0633\u064b\u0627 \u0628\u0627\u0644\u0628\u0648\u0635\u0629)\u060c \u0623\u0648 \u0627\u0644\u0648\u0632\u0646 (\u0645\u0642\u0627\u0633\u064b\u0627 \u0628\u0627\u0644\u062c\u0646\u064a\u0647)\u060c \u0623\u0648 \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 (\u0645\u0642\u0627\u0633\u064b\u0627 \u0645\u0646 0 \u0625\u0644\u0649 100).<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644:<\/strong> \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0645\u0646 \u0643\u0644\u0627 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u0645\u0633\u062a\u0642\u0644\u0629 \u0639\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0634\u0643\u0644:<\/strong> \u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0644\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u0645\u062a\u0645\u0627\u062b\u0644\u0629 \u062a\u0642\u0631\u064a\u0628\u064b\u0627.<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u0630\u0627 \u062a\u0645 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0647\u0630\u0647 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a\u060c \u0641\u064a\u0645\u0643\u0646\u0643 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <strong><span style=\"color: #000000;\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648<\/span><\/strong><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648\u060c \u0646\u062a\u0628\u0639 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0642\u064a\u0627\u0633\u064a \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633 \u062e\u0637\u0648\u0627\u062a :<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>1. \u0627\u0630\u0643\u0631 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a \u0645\u0639\u0638\u0645 \u0627\u0644\u062d\u0627\u0644\u0627\u062a\u060c \u064a\u062a\u0645 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648 \u0643\u0627\u062e\u062a\u0628\u0627\u0631 \u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0630\u064a\u0644. \u0648\u062a\u0643\u062a\u0628 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0648\u0627\u0644\u0628\u062f\u064a\u0644\u0629 \u0628\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u0627\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u0627\u0646<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u062d <sub>\u0623<\/sub> :<\/strong> \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u0627\u0646 \u0627\u0644\u0633\u0643\u0627\u0646\u064a\u062a\u0627\u0646 \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u064a\u0646<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>2. \u062a\u062d\u062f\u064a\u062f \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0641\u064a \u0627\u0644\u0641\u0631\u0636\u064a\u0629.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631 \u0628\u0634\u0623\u0646 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629. \u0627\u0644\u0627\u062e\u062a\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0647\u064a .01 \u0648.05 \u0648.1.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>3. \u0627\u0628\u062d\u062b \u0639\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u064f\u0634\u0627\u0631 \u0625\u0644\u0649 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0628\u0627\u0644\u0631\u0645\u0632 U \u0648\u0647\u064a \u0627\u0644\u0623\u0635\u063a\u0631 \u0645\u0646 U <sub>1<\/sub> \u0648U <sub>2<\/sub> \u060c \u0643\u0645\u0627 \u0647\u0648 \u0645\u062d\u062f\u062f \u0623\u062f\u0646\u0627\u0647:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648 <sub>1<\/sub> = \u0646 <sub>1<\/sub> \u0646 <sub>2<\/sub> + \u0646 <sub>1<\/sub> (\u0646 <sub>1<\/sub> +1)\/2 \u2013 \u0631 <sub>1<\/sub><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648 <sub>2<\/sub> = \u0646 <sub>1<\/sub> \u0646 <sub>2<\/sub> + \u0646 <sub>2<\/sub> (\u0646 <sub>2<\/sub> +1)\/2 \u2013 \u0631 <sub>2<\/sub><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062d\u064a\u062b n <sub>1<\/sub> \u0648n <sub>2<\/sub> \u0647\u0645\u0627 \u062d\u062c\u0645\u0627 \u0627\u0644\u0639\u064a\u0646\u0629 \u0644\u0644\u0639\u064a\u0646\u062a\u064a\u0646 1 \u06482 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a\u060c \u0648R <sub>1<\/sub> \u0648R <sub>2<\/sub> \u0647\u0645\u0627 \u0645\u062c\u0645\u0648\u0639 \u0631\u062a\u0628 \u0627\u0644\u0639\u064a\u0646\u0627\u062a 1 \u06482 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <em><span style=\"color: #000000;\">\u0633\u062a\u0648\u0636\u062d \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0623\u062f\u0646\u0627\u0647 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0647\u0630\u0647 \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644.<\/span><\/em><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>4. \u0627\u0631\u0641\u0636 \u0623\u0648 \u0644\u0627 \u062a\u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u060c \u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u064a\u0645\u0643\u0646\u0643 \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0623\u0645 \u0644\u0627 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u062c\u062f\u0648\u0644 Mann-Whitney U.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>5. \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u062a\u0627\u0626\u062c.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0641\u0633\u064a\u0631 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0641\u064a \u0633\u064a\u0627\u0642 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0645\u0637\u0631\u0648\u062d.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <strong><span style=\"color: #000000;\">\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648<\/span><\/strong><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0648\u0636\u062d \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 Mann-Whitney U.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062b\u0627\u0644 1<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0646\u0631\u064a\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062f\u0648\u0627\u0621 \u0627\u0644\u062c\u062f\u064a\u062f \u0641\u0639\u0627\u0644\u0627\u064b \u0641\u064a \u0627\u0644\u0648\u0642\u0627\u064a\u0629 \u0645\u0646 \u0646\u0648\u0628\u0627\u062a \u0627\u0644\u0647\u0644\u0639 \u0623\u0645 \u0644\u0627. \u062a\u0645 \u062a\u0642\u0633\u064a\u0645 \u0625\u062c\u0645\u0627\u0644\u064a 12 \u0645\u0631\u064a\u0636\u064b\u0627 \u0628\u0634\u0643\u0644 \u0639\u0634\u0648\u0627\u0626\u064a \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u0645\u0646 6 \u0645\u0631\u0636\u0649 \u0648\u062a\u0645 \u062a\u0639\u064a\u064a\u0646\u0647\u0645 \u0644\u062a\u0644\u0642\u064a \u0627\u0644\u062f\u0648\u0627\u0621 \u0627\u0644\u062c\u062f\u064a\u062f \u0623\u0648 \u0627\u0644\u062f\u0648\u0627\u0621 \u0627\u0644\u0648\u0647\u0645\u064a. \u062b\u0645 \u064a\u0642\u0648\u0645 \u0627\u0644\u0645\u0631\u0636\u0649 \u0628\u062a\u0633\u062c\u064a\u0644 \u0639\u062f\u062f \u0646\u0648\u0628\u0627\u062a \u0627\u0644\u0647\u0644\u0639 \u0627\u0644\u062a\u064a \u062a\u0639\u0631\u0636\u0648\u0627 \u0644\u0647\u0627 \u0639\u0644\u0649 \u0645\u062f\u0627\u0631 \u0627\u0644\u0634\u0647\u0631.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0645\u0648\u0636\u062d\u0629 \u0623\u062f\u0646\u0627\u0647:<\/span><\/p>\n<div style=\"width: 50%;;text-align:right;direction:rtl\">\n<table style=\";text-align:right;direction:rtl\">\n<thead>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\">\u062f\u0648\u0627\u0621 \u062c\u062f\u064a\u062f<\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\">\u0627\u0644\u0648\u0647\u0645\u064a<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">3<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">5<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">4<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">3<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">5<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">9<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><em><strong>\u0642\u0645 \u0628\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 Mann-Whitney U \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 \u0627\u062e\u062a\u0644\u0627\u0641 \u0641\u064a \u0639\u062f\u062f \u0646\u0648\u0628\u0627\u062a \u0627\u0644\u0647\u0644\u0639 \u0628\u064a\u0646 \u0627\u0644\u0645\u0631\u0636\u0649 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062f\u0648\u0627\u0621 \u0627\u0644\u0648\u0647\u0645\u064a \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062f\u0648\u0627\u0621 \u0627\u0644\u062c\u062f\u064a\u062f\u0629. \u0627\u0633\u062a\u062e\u062f\u0645 \u0645\u0633\u062a\u0648\u0649 \u0623\u0647\u0645\u064a\u0629 0.05.<\/strong><\/em><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>1. \u0627\u0630\u0643\u0631 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u0627\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u0627\u0646<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u062d <sub>\u0623<\/sub> :<\/strong> \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u0627\u0646 \u0627\u0644\u0633\u0643\u0627\u0646\u064a\u062a\u0627\u0646 \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u064a\u0646<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>2. \u062a\u062d\u062f\u064a\u062f \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0641\u064a \u0627\u0644\u0641\u0631\u0636\u064a\u0629.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u062e\u0628\u0631\u0646\u0627 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0623\u0646\u0647 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0633\u062a\u0648\u0649 \u0623\u0647\u0645\u064a\u0629 \u0642\u062f\u0631\u0647 0.05.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>3. \u0627\u0628\u062d\u062b \u0639\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0630\u0643\u064e\u0651\u0631 \u0623\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u064a\u064f\u0634\u0627\u0631 \u0625\u0644\u064a\u0647\u0627 \u0628\u0640 U \u0648\u0647\u064a \u0627\u0644\u0623\u0635\u063a\u0631 \u0628\u064a\u0646 U <sub>1<\/sub> \u0648U <sub>2<\/sub> \u060c \u0643\u0645\u0627 \u0647\u0648 \u0645\u062d\u062f\u062f \u0623\u062f\u0646\u0627\u0647:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648 <sub>1<\/sub> = \u0646 <sub>1<\/sub> \u0646 <sub>2<\/sub> + \u0646 <sub>1<\/sub> (\u0646 <sub>1<\/sub> +1)\/2 \u2013 \u0631 <sub>1<\/sub><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648 <sub>2<\/sub> = \u0646 <sub>1<\/sub> \u0646 <sub>2<\/sub> + \u0646 <sub>2<\/sub> (\u0646 <sub>2<\/sub> +1)\/2 \u2013 \u0631 <sub>2<\/sub><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062d\u064a\u062b n <sub>1<\/sub> \u0648n <sub>2<\/sub> \u0647\u0645\u0627 \u062d\u062c\u0645\u0627 \u0627\u0644\u0639\u064a\u0646\u0629 \u0644\u0644\u0639\u064a\u0646\u062a\u064a\u0646 1 \u06482 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a\u060c \u0648R <sub>1<\/sub> \u0648R <sub>2<\/sub> \u0647\u0645\u0627 \u0645\u062c\u0645\u0648\u0639 \u0631\u062a\u0628 \u0627\u0644\u0639\u064a\u0646\u0627\u062a 1 \u06482 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0623\u062c\u0644 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649<\/span> <span style=\"color: #000000;\">R <sub>1<\/sub> \u0648 R <sub>2<\/sub> \u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062f\u0645\u062c \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0645\u0646 \u0643\u0644\u0627 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u0648\u062a\u0631\u062a\u064a\u0628\u0647\u0627 \u0645\u0646 \u0627\u0644\u0623\u0635\u063a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0623\u0643\u0628\u0631:<\/span><\/p>\n<div style=\"width: 50%;;text-align:right;direction:rtl\">\n<table style=\";text-align:right;direction:rtl\">\n<thead>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #008080;\">\u062f\u0648\u0627\u0621 \u062c\u062f\u064a\u062f<\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #ff0000;\">\u0627\u0644\u0648\u0647\u0645\u064a<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>3<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>5<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>8<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>1<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>6<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>4<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>2<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>3<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>5<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>9<\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0639\u064a\u0646\u0629 \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a\u0629: <span style=\"color: #008080;\">1<\/span> , <span style=\"color: #ff0000;\">1<\/span> , <span style=\"color: #ff0000;\">2<\/span> , <span style=\"color: #008080;\">3<\/span> , <span style=\"color: #008080;\">3<\/span> , <span style=\"color: #ff0000;\">4<\/span> , <span style=\"color: #008080;\">4<\/span> , <span style=\"color: #008080;\">5<\/span> , <span style=\"color: #008080;\">5<\/span> , <span style=\"color: #ff0000;\">6<\/span> , <span style=\"color: #ff0000;\">8<\/span> , <span style=\"color: #ff0000;\">9<\/span><\/strong><\/span><\/p>\n<div style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0631\u062a\u0628: <span style=\"color: #008080;\">1.5<\/span> \u060c <span style=\"color: #ff0000;\">1.5<\/span> \u060c <span style=\"color: #ff0000;\">3<\/span> \u060c <span style=\"color: #008080;\">4.5<\/span> \u060c <span style=\"color: #008080;\">4.5<\/span> \u060c <span style=\"color: #ff0000;\">6.5<\/span> \u060c <span style=\"color: #008080;\">6.5<\/span> \u060c <span style=\"color: #008080;\">8.5<\/span> \u060c <span style=\"color: #008080;\">8.5<\/span> \u060c <span style=\"color: #ff0000;\">10<\/span> \u060c <span style=\"color: #ff0000;\">11<\/span> \u060c <span style=\"color: #ff0000;\">12<\/span><\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #008080;\"><strong>R <sub>1<\/sub><\/strong><\/span> <span style=\"color: #000000;\">= \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0631\u062a\u0628 \u0644\u0644\u0639\u064a\u0646\u0629 1 = 1.5+4.5+4.5+6.5+8.5+8.5 = 34<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #ff0000;\"><strong>R <sub>2<\/sub><\/strong><\/span> <span style=\"color: #000000;\">= \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0631\u062a\u0628 \u0644\u0644\u0639\u064a\u0646\u0629 2 = 1.5+3+6.5+10+11+12 = 44<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0646\u0633\u062a\u062e\u062f\u0645 \u0623\u062d\u062c\u0627\u0645 \u0627\u0644\u0639\u064a\u0646\u0627\u062a n <sub>1<\/sub> \u0648 n <sub>2<\/sub> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0631\u062a\u0628 R <sub>1<\/sub> \u0648 R <sub>2<\/sub> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 U <sub>1<\/sub> \u0648 U <sub>2<\/sub> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><sub>U1<\/sub> = 6(6) + 6(6+1)\/2 \u2013 34 = 23<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><sub>U2<\/sub> = 6(6) + 6(6+1)\/2 \u2013 44 = 13<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u062f\u064a\u0646\u0627 \u0647\u064a \u0627\u0644\u0623\u0635\u063a\u0631 \u0645\u0646 <sub>U1<\/sub> \u0648 <sub>U2<\/sub> \u0648\u0627\u0644\u062a\u064a \u062a\u0635\u0627\u062f\u0641 \u0623\u0646 \u062a\u0643\u0648\u0646 U=13.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <em><span style=\"color: #000000;\">\u0645\u0644\u0627\u062d\u0638\u0629: \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0653\u0644\u0629-\u062d\u0627\u0633\u0628\u0629-\u0627\u062e\u062a\u0628\u0627\u0631-\u0645\u0627\u0646-\u0648\u064a\u062a\u0646\u064a\/\" target=\"_blank\" rel=\"noopener\">\u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 Mann-Whitney U<\/a> \u0644\u062a\u062d\u062f\u064a\u062f \u0623\u0646 U = 13.<\/span><\/em><\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>4. \u0627\u0631\u0641\u0636 \u0623\u0648 \u0644\u0627 \u062a\u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 n <sub>1<\/sub> = 6 \u0648 n <sub>2<\/sub> = 6 \u0628\u0645\u0633\u062a\u0648\u0649 \u062f\u0644\u0627\u0644\u0629 0.05\u060c \u064a\u062e\u0628\u0631\u0646\u0627 \u062c\u062f\u0648\u0644 Mann-Whitney U \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0647\u064a 5:<\/span> <\/p>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1381 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mw_ex1.png\" alt=\"\u062c\u062f\u0648\u0644 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648\" width=\"544\" height=\"401\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0628\u0645\u0627 \u0623\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 (13) \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 (5)\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0641\u0634\u0644 \u0641\u064a \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;\"><strong>5. \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u062a\u0627\u0626\u062c.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0628\u0645\u0627 \u0623\u0646\u0646\u0627 \u0641\u0634\u0644\u0646\u0627 \u0641\u064a \u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645\u060c \u0641\u0644\u064a\u0633 \u0644\u062f\u064a\u0646\u0627 \u0623\u062f\u0644\u0629 \u0643\u0627\u0641\u064a\u0629 \u0644\u0646\u0642\u0648\u0644 \u0625\u0646 \u0639\u062f\u062f \u0646\u0648\u0628\u0627\u062a \u0627\u0644\u0647\u0644\u0639 \u0627\u0644\u062a\u064a \u064a\u0639\u0627\u0646\u064a \u0645\u0646\u0647\u0627 \u0627\u0644\u0645\u0631\u0636\u0649 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062f\u0648\u0627\u0621 \u0627\u0644\u0648\u0647\u0645\u064a \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0639\u062f\u062f \u0646\u0648\u0628\u0627\u062a \u0627\u0644\u0647\u0644\u0639 \u0627\u0644\u062a\u064a \u064a\u0639\u0627\u0646\u064a \u0645\u0646\u0647\u0627 \u0627\u0644\u0645\u0631\u0636\u0649 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062f\u0648\u0627\u0621 \u0627\u0644\u0648\u0647\u0645\u064a.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062b\u0627\u0644 2<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0646\u0631\u064a\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0644\u0645\u062f\u0629 30 \u062f\u0642\u064a\u0642\u0629 \u064a\u0648\u0645\u064a\u064b\u0627 \u0644\u0645\u062f\u0629 \u0623\u0633\u0628\u0648\u0639 \u062a\u0633\u0627\u0639\u062f \u0627\u0644\u0637\u0644\u0627\u0628 \u0639\u0644\u0649 \u0627\u0644\u0623\u062f\u0627\u0621 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644 \u0641\u064a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631. \u064a\u062a\u0645 \u062a\u0639\u064a\u064a\u0646 \u0645\u0627 \u0645\u062c\u0645\u0648\u0639\u0647 15 \u0645\u0631\u064a\u0636\u0627 \u0628\u0634\u0643\u0644 \u0639\u0634\u0648\u0627\u0626\u064a \u0644\u0644\u062f\u0631\u0627\u0633\u0629 \u0623\u0648 \u0644\u0627 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062f\u0631\u0627\u0633\u0629. \u0648\u0628\u0639\u062f \u0623\u0633\u0628\u0648\u0639\u060c \u064a\u0623\u062e\u0630 \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;\">\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u0643\u0644\u062a\u0627 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u0645\u0628\u064a\u0646\u0629 \u0623\u062f\u0646\u0627\u0647:<\/span><\/p>\n<div style=\"width: 50%;;text-align:right;direction:rtl\">\n<table style=\";text-align:right;direction:rtl\">\n<thead>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\">\u064a\u0630\u0627\u0643\u0631<\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\">\u0644\u0627 \u062f\u0631\u0627\u0633\u0629<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">89<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">88<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">92<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">93<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">94<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">95<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">96<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">75<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">91<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">72<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">80<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">84<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">81<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">90<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><em><strong>\u0642\u0645 \u0628\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 Mann-Whitney U \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 \u0627\u062e\u062a\u0644\u0627\u0641 \u0641\u064a \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062a\u064a \u0644\u0645 \u062a\u062f\u0631\u0633. \u0627\u0633\u062a\u062e\u062f\u0645 \u0645\u0633\u062a\u0648\u0649 \u0623\u0647\u0645\u064a\u0629 0.01.<\/strong><\/em><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>1. \u0627\u0630\u0643\u0631 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u0627\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u0627\u0646<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u062d <sub>\u0623<\/sub> :<\/strong> \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u0627\u0646 \u0627\u0644\u0633\u0643\u0627\u0646\u064a\u062a\u0627\u0646 \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u064a\u0646<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>2. \u062a\u062d\u062f\u064a\u062f \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0641\u064a \u0627\u0644\u0641\u0631\u0636\u064a\u0629.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u062e\u0628\u0631\u0646\u0627 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0623\u0646\u0647 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0633\u062a\u0648\u0649 \u0623\u0647\u0645\u064a\u0629 \u0642\u062f\u0631\u0647 0.01.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>3. \u0627\u0628\u062d\u062b \u0639\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0630\u0643\u064e\u0651\u0631 \u0623\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u064a\u064f\u0634\u0627\u0631 \u0625\u0644\u064a\u0647\u0627 \u0628\u0640 U \u0648\u0647\u064a \u0627\u0644\u0623\u0635\u063a\u0631 \u0628\u064a\u0646 U <sub>1<\/sub> \u0648U <sub>2<\/sub> \u060c \u0643\u0645\u0627 \u0647\u0648 \u0645\u062d\u062f\u062f \u0623\u062f\u0646\u0627\u0647:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648 <sub>1<\/sub> = \u0646 <sub>1<\/sub> \u0646 <sub>2<\/sub> + \u0646 <sub>1<\/sub> (\u0646 <sub>1<\/sub> +1)\/2 \u2013 \u0631 <sub>1<\/sub><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648 <sub>2<\/sub> = \u0646 <sub>1<\/sub> \u0646 <sub>2<\/sub> + \u0646 <sub>2<\/sub> (\u0646 <sub>2<\/sub> +1)\/2 \u2013 \u0631 <sub>2<\/sub><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062d\u064a\u062b n <sub>1<\/sub> \u0648n <sub>2<\/sub> \u0647\u0645\u0627 \u062d\u062c\u0645\u0627 \u0627\u0644\u0639\u064a\u0646\u0629 \u0644\u0644\u0639\u064a\u0646\u062a\u064a\u0646 1 \u06482 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a\u060c \u0648R <sub>1<\/sub> \u0648R <sub>2<\/sub> \u0647\u0645\u0627 \u0645\u062c\u0645\u0648\u0639 \u0631\u062a\u0628 \u0627\u0644\u0639\u064a\u0646\u0627\u062a 1 \u06482 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0623\u062c\u0644 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649<\/span> <span style=\"color: #000000;\">R <sub>1<\/sub> \u0648 R <sub>2<\/sub> \u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062f\u0645\u062c \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0645\u0646 \u0643\u0644\u0627 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u0648\u062a\u0631\u062a\u064a\u0628\u0647\u0627 \u0645\u0646 \u0627\u0644\u0623\u0635\u063a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0623\u0643\u0628\u0631:<\/span><\/p>\n<div style=\"width: 50%;;text-align:right;direction:rtl\">\n<table style=\";text-align:right;direction:rtl\">\n<thead>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">\u064a\u0630\u0627\u0643\u0631<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #ff0000;\">\u0644\u0627 \u062f\u0631\u0627\u0633\u0629<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>89<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">88<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">92<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">93<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">94<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">95<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">96<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">75<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">91<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">72<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">99<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">80<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">84<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">81<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">90<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">\u0627\u0644\u0639\u064a\u0646\u0629 \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a\u0629: <span style=\"color: #ff0000;\">72<\/span> \u060c <span style=\"color: #ff0000;\">75<\/span> <span style=\"color: #008080;\">\u060c<\/span> <span style=\"color: #ff0000;\">80<\/span> \u060c 81\u060c 84\u060c <span style=\"color: #ff0000;\">88<\/span> \u060c <span style=\"color: #008080;\">89<\/span> \u060c <span style=\"color: #ff0000;\">90<\/span> \u060c <span style=\"color: #008080;\">91<\/span> \u060c <span style=\"color: #008080;\">92<\/span> \u060c <span style=\"color: #008080;\">93<\/span> \u060c <span style=\"color: #008080;\">94<\/span> \u060c <span style=\"color: #ff0000;\">95<\/span> \u060c <span style=\"color: #008080;\">96<\/span> <span style=\"color: #008080;\">\u060c<\/span> <span style=\"color: #ff0000;\">99<\/span><\/span><\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">\u0627\u0644\u0635\u0641\u0648\u0641: <span style=\"color: #ff0000;\">1<\/span> \u060c <span style=\"color: #ff0000;\">2<\/span> \u060c <span style=\"color: #ff0000;\">3<\/span> \u060c <span style=\"color: #ff0000;\">4<\/span> \u060c <span style=\"color: #008080;\">5<\/span> \u060c <span style=\"color: #ff0000;\">6<\/span> \u060c <span style=\"color: #008080;\">7<\/span> \u060c <span style=\"color: #008080;\">8<\/span> \u060c <span style=\"color: #008080;\">9<\/span> \u060c <span style=\"color: #008080;\">10<\/span> \u060c <span style=\"color: #ff0000;\">11<\/span> \u060c <span style=\"color: #008080;\">12<\/span> \u060c <span style=\"color: #ff0000;\">13<\/span> \u060c <span style=\"color: #008080;\">14<\/span> \u060c <span style=\"color: #008080;\">15<\/span><\/span><\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #008080;\"><strong>R <sub>1<\/sub><\/strong><\/span> <span style=\"color: #000000;\">= \u0645\u062c\u0645\u0648\u0639 \u0631\u062a\u0628 \u0627\u0644\u0639\u064a\u0646\u0629 1 = 5+7+8+9+10+12+14+15 = 80<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #ff0000;\"><strong>R <sub>2<\/sub><\/strong><\/span> <span style=\"color: #000000;\">= \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0631\u062a\u0628 \u0644\u0644\u0639\u064a\u0646\u0629 2 = 1+2+3+4+6+11+13 = 40<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0646\u0633\u062a\u062e\u062f\u0645 \u0623\u062d\u062c\u0627\u0645 \u0627\u0644\u0639\u064a\u0646\u0627\u062a n <sub>1<\/sub> \u0648 n <sub>2<\/sub> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0631\u062a\u0628 R <sub>1<\/sub> \u0648 R <sub>2<\/sub> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 U <sub>1<\/sub> \u0648 U <sub>2<\/sub> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><sub>U1<\/sub> = 8(7) + 8(8+1)\/2 \u2013 80 = 12<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><sub>U2<\/sub> = 8(7) + 7(7+1)\/2 \u2013 40 = 44<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0644\u062f\u064a\u0646\u0627 \u0647\u064a \u0627\u0644\u0623\u0635\u063a\u0631 \u0645\u0646 <sub>U1<\/sub> \u0648 <sub>U2<\/sub> \u0648\u0627\u0644\u062a\u064a \u062a\u0635\u0627\u062f\u0641 \u0623\u0646 \u062a\u0643\u0648\u0646 U=12.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <em><span style=\"color: #000000;\">\u0645\u0644\u0627\u062d\u0638\u0629: \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0653\u0644\u0629-\u062d\u0627\u0633\u0628\u0629-\u0627\u062e\u062a\u0628\u0627\u0631-\u0645\u0627\u0646-\u0648\u064a\u062a\u0646\u064a\/\" target=\"_blank\" rel=\"noopener\">\u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 Mann-Whitney U<\/a> \u0644\u062a\u062d\u062f\u064a\u062f \u0623\u0646 U = 12.<\/span><\/em><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>4. \u0627\u0631\u0641\u0636 \u0623\u0648 \u0644\u0627 \u062a\u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 n <sub>1<\/sub> = 8 \u0648n <sub>2<\/sub> = 7 \u0628\u0645\u0633\u062a\u0648\u0649 \u062f\u0644\u0627\u0644\u0629 0.01\u060c \u064a\u062e\u0628\u0631\u0646\u0627 \u062c\u062f\u0648\u0644 Mann-Whitney U \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0647\u064a 6:<\/span> <\/p>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1383 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mw_ex2.png\" alt=\"\u062c\u062f\u0648\u0644 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648\" width=\"544\" height=\"401\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0628\u0645\u0627 \u0623\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 (12) \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 (6)\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0641\u0634\u0644 \u0641\u064a \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;\"><strong>5. \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u062a\u0627\u0626\u062c.<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0628\u0645\u0627 \u0623\u0646\u0646\u0627 \u0641\u0634\u0644\u0646\u0627 \u0641\u064a \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629\u060c \u0641\u0644\u064a\u0633 \u0644\u062f\u064a\u0646\u0627 \u0623\u062f\u0644\u0629 \u0643\u0627\u0641\u064a\u0629 \u0644\u0646\u0642\u0648\u0644 \u0625\u0646 \u062f\u0631\u062c\u0627\u062a \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0637\u0644\u0627\u0628 \u0627\u0644\u0630\u064a\u0646 \u062f\u0631\u0633\u0648\u0627 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u0637\u0644\u0627\u0628 \u0627\u0644\u0630\u064a\u0646 \u0644\u0645 \u064a\u062f\u0631\u0633\u0648\u0627.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0653\u0644\u0629-\u062d\u0627\u0633\u0628\u0629-\u0627\u062e\u062a\u0628\u0627\u0631-\u0645\u0627\u0646-\u0648\u064a\u062a\u0646\u064a\/\" target=\"_blank\" rel=\"noopener\">\u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648<\/a><br \/> \u0637\u0627\u0648\u0644\u0629 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648<br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0643\u064a\u0641\u064a\u0629-\u0627\u0655\u062c\u0631\u0627\u0621-\u0627\u062e\u062a\u0628\u0627\u0631-\u0645\u0627\u0646-\u0648\u064a\u062a\u0646\u064a-\u064a\u0648-\u0641\u064a-\u0627\u0655\u0643\u0633\u0644\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648 \u0641\u064a \u0625\u0643\u0633\u0644<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062e\u062a\u0628\u0627\u0631-\u0645\u0627\u0646-\u0648\u064a\u062a\u0646\u064a-\u064a\u0648-\u0635\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648 \u0641\u064a R<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0645\u0627\u0646-\u0648\u064a\u062a\u0646\u064a-\u064a\u0648-\u0627\u062e\u062a\u0628\u0627\u0631-\u0628\u0627\u064a\u062b\u0648\u0646\/\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062e\u062a\u0628\u0627\u0631-\u0645\u0627\u0646-\u0648\u064a\u062a\u0646\u064a-spss\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627\u0646 \u0648\u064a\u062a\u0646\u064a \u064a\u0648 \u0641\u064a SPSS<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0645\u0627\u0646-\u0648\u064a\u062a\u0646\u064a-\u0634-\u0628\u064a\u0627\u0646\u0627\u062a-\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\/\" target=\"_blank\" 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