{"id":1094,"date":"2023-07-27T16:34:56","date_gmt":"2023-07-27T16:34:56","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%aa%d8%ad%d9%88%d9%8a%d9%84-%d8%a7%d9%84%d8%a8%d9%8a%d8%a7%d9%86%d8%a7%d8%aa-%d8%a7%d9%95%d9%84%d9%89-%d8%b5\/"},"modified":"2023-07-27T16:34:56","modified_gmt":"2023-07-27T16:34:56","slug":"%d8%aa%d8%ad%d9%88%d9%8a%d9%84-%d8%a7%d9%84%d8%a8%d9%8a%d8%a7%d9%86%d8%a7%d8%aa-%d8%a7%d9%95%d9%84%d9%89-%d8%b5","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%aa%d8%ad%d9%88%d9%8a%d9%84-%d8%a7%d9%84%d8%a8%d9%8a%d8%a7%d9%86%d8%a7%d8%aa-%d8%a7%d9%95%d9%84%d9%89-%d8%b5\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0625\u0644\u0649 \u0644\u063a\u0629 r (\u0627\u0644\u0633\u062c\u0644\u060c \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u060c \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0643\u0639\u064a\u0628\u064a)"},"content":{"rendered":"

<\/p>\n

\n

\u062a\u0641\u062a\u0631\u0636 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0623\u0646 \u0628\u0642\u0627\u064a\u0627 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629<\/a> \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a.<\/span><\/p>\n

\u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0644\u0627<\/em> \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a \u0641\u064a \u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u0623\u062d\u064a\u0627\u0646. \u0625\u062d\u062f\u0649 \u0637\u0631\u0642 \u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0647\u064a \u062a\u062d\u0648\u064a\u0644 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0623\u062d\u062f \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629:<\/span><\/p>\n

1. \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0633\u062c\u0644:<\/strong> \u062a\u062d\u0648\u064a\u0644 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0645\u0646 y \u0625\u0644\u0649 log(y)<\/strong> .<\/span><\/p>\n

2. \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a:<\/strong> \u062a\u062d\u0648\u064a\u0644 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0645\u0646 y \u0625\u0644\u0649 \u221ay<\/span><\/strong> .<\/span><\/p>\n

3. \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0643\u0639\u064a\u0628\u064a:<\/strong> \u062a\u062d\u0648\u064a\u0644 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0645\u0646 y \u0625\u0644\u0649 y 1\/3<\/sup><\/strong> .<\/span><\/p>\n

\u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u0625\u062c\u0631\u0627\u0621 \u0647\u0630\u0647 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a\u060c \u064a\u0642\u062a\u0631\u0628 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0628\u0634\u0643\u0644 \u0639\u0627\u0645 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a. \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 \u0647\u0630\u0647 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0641\u064a R.<\/span><\/p>\n

\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0633\u062c\u0644 \u0641\u064a R<\/strong><\/span><\/h3>\n

\u064a\u0648\u0636\u062d \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0629 \u0627\u0644\u0628\u0631\u0645\u062c\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0633\u062c\u0644 \u0639\u0644\u0649 \u0645\u062a\u063a\u064a\u0631 \u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/span><\/p>\n

 #create data frame<\/span>\ndf <- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n#perform log transformation\n<\/span>log_y <- log10(df$y)\n<\/strong><\/pre>\n
 \u064a\u0648\u0636\u062d \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0629 \u0627\u0644\u0628\u0631\u0645\u062c\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0631\u0633\u0648\u0645 \u0628\u064a\u0627\u0646\u064a\u0629 \u0644\u0639\u0631\u0636 \u062a\u0648\u0632\u064a\u0639 y<\/em> \u0642\u0628\u0644 \u0648\u0628\u0639\u062f \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0633\u062c\u0644:<\/span> <\/p>\n
 #create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n#create histogram for log-transformed distribution<\/span> \nhist(log_y, col='coral2', main='Log Transformed')\n<\/strong><\/pre>\n
\"\u0633\u062c\u0644<\/p>\n
 \u0644\u0627\u062d\u0638 \u0643\u064a\u0641 \u0623\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u062d\u0648\u0644 \u0628\u0627\u0644\u0633\u062c\u0644 \u0623\u0643\u062b\u0631 \u0637\u0628\u064a\u0639\u064a\u0629 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0635\u0644\u064a. \u0644\u0627 \u064a\u0632\u0627\u0644 “\u0634\u0643\u0644 \u0627\u0644\u062c\u0631\u0633” \u063a\u064a\u0631 \u0645\u062b\u0627\u0644\u064a \u0648\u0644\u0643\u0646\u0647 \u0623\u0642\u0631\u0628 \u0625\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0635\u0644\u064a.<\/span><\/p>\n
 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0625\u0630\u0627 \u0623\u062c\u0631\u064a\u0646\u0627 \u0627\u062e\u062a\u0628\u0627\u0631 \u0634\u0627\u0628\u064a\u0631\u0648-\u0648\u064a\u0644\u0643<\/a> \u0639\u0644\u0649 \u0643\u0644 \u062a\u0648\u0632\u064a\u0639\u060c \u0641\u0633\u0646\u062c\u062f \u0623\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0635\u0644\u064a \u064a\u0641\u0634\u0644 \u0641\u064a \u0627\u0641\u062a\u0631\u0627\u0636 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0641\u064a \u062d\u064a\u0646 \u0623\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u062d\u0648\u0644 \u0628\u0627\u0644\u0633\u062c\u0644 \u0644\u0627 \u064a\u0641\u0634\u0644 (\u0639\u0646\u062f \u03b1 = 0.05):<\/span><\/p>\n
 #perform Shapiro-Wilk Test on original data<\/span>\nshapiro.test(df$y)\n\n\tShapiro-Wilk normality test\n\ndata: df$y\nW = 0.77225, p-value = 0.001655\n\n#perform Shapiro-Wilk Test on log-transformed data<\/span> \nshapiro.test(log_y)\n\n\tShapiro-Wilk normality test<\/span><\/span>\n\ndata:log_y\nW = 0.89089, p-value = 0.06917<\/strong><\/pre>\n
 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0641\u064a R<\/strong><\/span><\/h3>\n
 \u064a\u0648\u0636\u062d \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0629 \u0627\u0644\u0628\u0631\u0645\u062c\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0639\u0644\u0649 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/span><\/p>\n
 #create data frame<\/span>\ndf <- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n#perform square root transformation\n<\/span>sqrt_y <- sqrt(df$y)\n<\/strong><\/pre>\n
 \u064a\u0648\u0636\u062d \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0629 \u0627\u0644\u0628\u0631\u0645\u062c\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0631\u0633\u0648\u0645 \u0628\u064a\u0627\u0646\u064a\u0629 \u0644\u0639\u0631\u0636 \u062a\u0648\u0632\u064a\u0639 y<\/em> \u0642\u0628\u0644 \u0648\u0628\u0639\u062f \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a:<\/span> <\/p>\n
 #create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n#create histogram for square root-transformed distribution<\/span> \nhist(sqrt_y, col='coral2', main='Square Root Transformed')<\/strong> <\/pre>\n
\"\u062a\u062d\u0648\u064a\u0644<\/p>\n
 \u0644\u0627\u062d\u0638 \u0643\u064a\u0641 \u0623\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u062d\u0648\u0644 \u0644\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639\u0647 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a \u0623\u0643\u062b\u0631 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0635\u0644\u064a.<\/span><\/p>\n
 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0643\u0639\u064a\u0628\u064a \u0641\u064a R<\/strong><\/span><\/h3>\n
 \u064a\u0648\u0636\u062d \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0629 \u0627\u0644\u0628\u0631\u0645\u062c\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0643\u0639\u064a\u0628\u064a \u0639\u0644\u0649 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/span><\/p>\n
 #create data frame<\/span>\ndf <- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n#perform square root transformation\n<\/span>cube_y <- df$y^(1\/3)\n<\/strong><\/pre>\n
 \u064a\u0648\u0636\u062d \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0629 \u0627\u0644\u0628\u0631\u0645\u062c\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0631\u0633\u0648\u0645 \u0628\u064a\u0627\u0646\u064a\u0629 \u0644\u0639\u0631\u0636 \u062a\u0648\u0632\u064a\u0639 y<\/em> \u0642\u0628\u0644 \u0648\u0628\u0639\u062f \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a:<\/span> <\/p>\n
 #create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n#create histogram for square root-transformed distribution<\/span> \nhist(cube_y, col='coral2', main='Cube Root Transformed')<\/strong> <\/pre>\n
\"\u062a\u062d\u0648\u064a\u0644<\/p>\n
 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0643\u060c \u0642\u062f \u064a\u0646\u062a\u062c \u0639\u0646 \u0623\u062d\u062f \u0647\u0630\u0647 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0645\u062c\u0645\u0648\u0639\u0629 \u0628\u064a\u0627\u0646\u0627\u062a \u062c\u062f\u064a\u062f\u0629 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a \u0623\u0643\u062b\u0631 \u0645\u0646 \u063a\u064a\u0631\u0647\u0627.<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
\u062a\u0641\u062a\u0631\u0636 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0623\u0646 \u0628\u0642\u0627\u064a\u0627 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0644\u0627 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a \u0641\u064a \u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u0623\u062d\u064a\u0627\u0646. \u0625\u062d\u062f\u0649 \u0637\u0631\u0642 \u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0647\u064a \u062a\u062d\u0648\u064a\u0644 \u0645\u062a\u063a\u064a\u0631 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