{"id":473,"date":"2023-07-29T19:10:59","date_gmt":"2023-07-29T19:10:59","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d9%83%d9%8a%d9%81%d9%8a%d8%a9-%d8%ad%d8%b3%d8%a7%d8%a8-%d9%82%d9%8a%d9%85%d8%a9-pd-%d9%84%d9%84%d8%a7%d9%95%d8%ad%d8%b5%d8%a7%d9%8a%d9%94%d9%8a%d8%a9-f-%d9%81%d9%8a-r\/"},"modified":"2023-07-29T19:10:59","modified_gmt":"2023-07-29T19:10:59","slug":"%d9%83%d9%8a%d9%81%d9%8a%d8%a9-%d8%ad%d8%b3%d8%a7%d8%a8-%d9%82%d9%8a%d9%85%d8%a9-pd-%d9%84%d9%84%d8%a7%d9%95%d8%ad%d8%b5%d8%a7%d9%8a%d9%94%d9%8a%d8%a9-f-%d9%81%d9%8a-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d9%83%d9%8a%d9%81%d9%8a%d8%a9-%d8%ad%d8%b3%d8%a7%d8%a8-%d9%82%d9%8a%d9%85%d8%a9-pd-%d9%84%d9%84%d8%a7%d9%95%d8%ad%d8%b5%d8%a7%d9%8a%d9%94%d9%8a%d8%a9-f-%d9%81%d9%8a-r\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0629 p \u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a f \u0641\u064a r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\">\u064a\u0646\u062a\u062c \u0639\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 F <strong>\u0625\u062d\u0635\u0627\u0626\u064a\u0629 F.<\/strong> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 <strong>\u0627\u0644\u0642\u064a\u0645\u0629 p<\/strong> \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a F \u0641\u064a R\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0645\u0631 \u0627\u0644\u062a\u0627\u0644\u064a:<\/span><\/p>\n<p style=\"text-align: center;;text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062c\u0628\u0647\u0629 \u0627\u0644\u0648\u0637\u0646\u064a\u0629 (fstat\u060c df1\u060c df2\u060c Lower.tail = FALSE)<\/strong><\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>fstat<\/strong> \u2013 \u0642\u064a\u0645\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 f<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>df1<\/strong> &#8211; \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629 1<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>df2<\/strong> &#8211; \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629 2<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>Lower.tail<\/strong> &#8211; \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0633\u064a\u062a\u0645 \u0625\u0631\u062c\u0627\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0645\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u0630\u064a\u0644 \u0627\u0644\u0633\u0641\u0644\u064a \u0644\u062a\u0648\u0632\u064a\u0639 F \u0623\u0645 \u0644\u0627. \u0648\u0647\u0630\u0627 \u0635\u062d\u064a\u062d \u0628\u0634\u0643\u0644 \u0627\u0641\u062a\u0631\u0627\u0636\u064a.<\/span><\/li>\n<\/ul>\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 \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a F \u0627\u0644\u0628\u0627\u0644\u063a\u0629 5\u060c \u0645\u0639 \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629 1 = 3 \u0648\u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629 2 = 14:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>pf(5, 3, 14, lower.tail = FALSE)\n\n#[1] 0.01457807<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0623\u062d\u062f \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a \u0627\u0644\u0623\u0643\u062b\u0631 \u0634\u064a\u0648\u0639\u064b\u0627 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 F \u0647\u0648 <a href=\"https:\/\/statorials.org\/ar\/\u062f\u0644\u064a\u0644-\u0628\u0633\u064a\u0637-\u0644\u0641\u0647\u0645-\u0627\u062e\u062a\u0628\u0627\u0631-f-\u0644\u0644\u0627\u0654\u0647\u0645\u064a\u0629-\u0627\u0644\u0634\u0627\u0645\u0644\u0629-\u0641\u064a-\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631\/\" target=\"_blank\" rel=\"noopener\">\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a\u0629 \u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631<\/a> . \u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0646\u0639\u0631\u0636 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a F \u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <strong><span style=\"color: #000000;\">\u0645\u062b\u0627\u0644: \u062d\u0633\u0627\u0628 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0645\u0646 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 F<\/span><\/strong><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u0645\u062c\u0645\u0648\u0639\u0629 \u0628\u064a\u0627\u0646\u0627\u062a \u062a\u0648\u0636\u062d \u0625\u062c\u0645\u0627\u0644\u064a \u0639\u062f\u062f \u0627\u0644\u0633\u0627\u0639\u0627\u062a \u0627\u0644\u0645\u062f\u0631\u0648\u0633\u0629\u060c \u0648\u0625\u062c\u0645\u0627\u0644\u064a \u0639\u062f\u062f \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0625\u0639\u062f\u0627\u062f\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u0625\u062c\u0631\u0627\u0624\u0647\u0627\u060c \u0648\u062f\u0631\u062c\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0646\u0647\u0627\u0626\u064a \u0644\u0640 12 \u0637\u0627\u0644\u0628\u064b\u0627 \u0645\u062e\u062a\u0644\u0641\u064b\u0627:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataset<\/span>\ndata &lt;- data.frame(study_hours = c(3, 7, 16, 14, 12, 7, 4, 19, 4, 8, 8, 3),<\/strong>\n<strong>prep_exams = c(2, 6, 5, 2, 7, 4, 4, 2, 8, 4, 1, 3),<\/strong>\n<strong>final_score = c(76, 88, 96, 90, 98, 80, 86, 89, 68, 75, 72, 76))<\/strong>\n<strong>\n<span style=\"color: #008080;\">#view first six rows of dataset<\/span>\nhead(data)\n\n# study_hours prep_exams final_score\n#1 3 2 76\n#2 7 6 88\n#3 16 5 96\n#4 14 2 90\n#5 12 7 98\n#6 7 4 80<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0645\u0646 \u062b\u0645 \u064a\u0645\u0643\u0646\u0646\u0627 \u0645\u0644\u0627\u0621\u0645\u0629 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <em>\u0633\u0627\u0639\u0627\u062a \u0627\u0644\u062f\u0631\u0627\u0633\u0629<\/em> <em>\u0648\u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u062d\u0636\u064a\u0631\u064a\u0629<\/em> \u0643\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u062a\u0646\u0628\u0624\u064a\u0629 <em>\u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/em> \u0643\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629. \u0648\u0645\u0646 \u062b\u0645 \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0635\u0648\u0631 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit regression model<\/span>\nmodel &lt;- lm(final_score ~ study_hours + prep_exams, data = data)\n\n<span style=\"color: #008080;\">#view output of the model<\/span>\nsummary(model)\n\n#Call:\n#lm(formula = final_score ~ study_hours + prep_exams, data = data)\n#\n#Residuals:\n# Min 1Q Median 3Q Max \n#-13,128 -5,319 2,168 3,458 9,341 \n#\n#Coefficients:\n#Estimate Std. Error t value Pr(&gt;|t|)    \n#(Intercept) 66,990 6,211 10,785 1.9e-06 ***\n#study_hours 1.300 0.417 3.117 0.0124 *  \n#prep_exams 1.117 1.025 1.090 0.3041    \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n#\n#Residual standard error: 7.327 on 9 degrees of freedom\n#Multiple R-squared: 0.5308, Adjusted R-squared: 0.4265 \n#F-statistic: 5.091 on 2 and 9 DF, p-value: 0.0332\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a \u0627\u0644\u0635\u0641 \u0627\u0644\u0623\u062e\u064a\u0631 \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 \u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0634\u0627\u0645\u0644 \u0647\u064a <strong>5.091<\/strong> . \u062a\u062a\u0645\u062a\u0639 \u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a F \u0647\u0630\u0647 \u0628\u062f\u0631\u062c\u062a\u064a\u0646 \u0645\u0646 \u0627\u0644\u062d\u0631\u064a\u0629 \u0644\u0644\u0628\u0633\u0637 \u06489 \u062f\u0631\u062c\u0627\u062a \u062d\u0631\u064a\u0629 \u0644\u0644\u0645\u0642\u0627\u0645. \u064a\u062d\u0633\u0628 R \u062a\u0644\u0642\u0627\u0626\u064a\u064b\u0627 \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a F \u0647\u0630\u0647 \u0647\u064a <strong>0.0332<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0623\u062c\u0644 \u062d\u0633\u0627\u0628 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629 \u0628\u0623\u0646\u0641\u0633\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:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>pf(5.091, 2, 9, lower.tail = FALSE)\n\n#[1] 0.0331947<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0627\u062d\u0638 \u0623\u0646\u0646\u0627 \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0646\u0641\u0633 \u0627\u0644\u0625\u062c\u0627\u0628\u0629 (\u0648\u0644\u0643\u0646 \u0645\u0639 \u0639\u0631\u0636 \u0627\u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u0646\u0627\u0632\u0644 \u0627\u0644\u0639\u0634\u0631\u064a\u0629) \u0645\u062b\u0644 \u0646\u0627\u062a\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0623\u0639\u0644\u0627\u0647.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u064a\u0646\u062a\u062c \u0639\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 F \u0625\u062d\u0635\u0627\u0626\u064a\u0629 F. \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a F \u0641\u064a R\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0645\u0631 \u0627\u0644\u062a\u0627\u0644\u064a: \u0627\u0644\u062c\u0628\u0647\u0629 \u0627\u0644\u0648\u0637\u0646\u064a\u0629 (fstat\u060c df1\u060c df2\u060c Lower.tail = FALSE) fstat \u2013 \u0642\u064a\u0645\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 f df1 &#8211; \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629 1 df2 &#8211; \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629 2 Lower.tail &#8211; \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0633\u064a\u062a\u0645 \u0625\u0631\u062c\u0627\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0645\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u0630\u064a\u0644 \u0627\u0644\u0633\u0641\u0644\u064a \u0644\u062a\u0648\u0632\u064a\u0639 F [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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