{"id":1564,"date":"2025-07-29T00:19:38","date_gmt":"2025-07-28T20:49:38","guid":{"rendered":"https:\/\/rezaalie.ir\/blog\/?p=1564"},"modified":"2025-07-29T00:19:38","modified_gmt":"2025-07-28T20:49:38","slug":"%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%af%d9%88%d9%85%d8%aa%d8%ba%db%8c%d8%b1%d9%87-bivariate-analysis","status":"publish","type":"post","link":"https:\/\/rezaalie.ir\/blog\/%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%af%d9%88%d9%85%d8%aa%d8%ba%db%8c%d8%b1%d9%87-bivariate-analysis\/","title":{"rendered":"\u062a\u062d\u0644\u06cc\u0644 \u062f\u0648\u0645\u062a\u063a\u06cc\u0631\u0647 (Bivariate Analysis)"},"content":{"rendered":"<p style=\"user-select: text;\"><strong data-start=\"366\" data-end=\"405\"><a href=\"https:\/\/rezaalie.ir\/blog\/%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%aa%da%a9-%d9%85%d8%aa%d8%ba%db%8c%d8%b1%d9%87univariate-analysis\/\">\u062a\u062d\u0644\u06cc\u0644<\/a> \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631\u0647 (Bivariate Analysis)<\/strong> \u0628\u0647 \u0628\u0631\u0631\u0633\u06cc \u0647\u0645\u0632\u0645\u0627\u0646 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u0628\u0631\u0627\u06cc <strong data-start=\"436\" data-end=\"478\">\u06cc\u0627\u0641\u062a\u0646 \u0631\u0648\u0627\u0628\u0637 \u0622\u0645\u0627\u0631\u06cc \u06cc\u0627 \u0648\u0627\u0628\u0633\u062a\u06af\u06cc \u0628\u06cc\u0646 \u0622\u0646\u200c\u0647\u0627<\/strong> \u0645\u06cc\u200c\u067e\u0631\u062f\u0627\u0632\u062f. \u0628\u0631\u062e\u0644\u0627\u0641 \u062a\u062d\u0644\u06cc\u0644 \u062a\u06a9\u200c\u0645\u062a\u063a\u06cc\u0631\u0647 \u06a9\u0647 \u0641\u0642\u0637 \u0628\u0647 \u06cc\u06a9 \u0633\u062a\u0648\u0646 \u0646\u06af\u0627\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u062f\u0648 \u0633\u062a\u0648\u0646 \u0628\u0627 \u0647\u0645 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u062a\u0627 \u0646\u0648\u0639 \u0648 \u0634\u062f\u062a \u0631\u0627\u0628\u0637\u0647\u200c\u06cc \u0622\u0646\u200c\u0647\u0627 \u062f\u0631\u06a9 \u0634\u0648\u062f.<\/p>\n<h2 data-start=\"624\" data-end=\"653\">\u0627\u0647\u062f\u0627\u0641 Bivariate Analysis<\/h2>\n<ul data-start=\"655\" data-end=\"887\">\n<li data-start=\"655\" data-end=\"700\">\n<p data-start=\"657\" data-end=\"700\">\u06cc\u0627\u0641\u062a\u0646 <strong data-start=\"663\" data-end=\"682\">\u0627\u0644\u06af\u0648\u0647\u0627\u06cc \u0647\u0645\u0628\u0633\u062a\u06af\u06cc<\/strong> \u0628\u06cc\u0646 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u0639\u062f\u062f\u06cc<\/p>\n<\/li>\n<li data-start=\"701\" data-end=\"785\">\n<p data-start=\"703\" data-end=\"785\">\u0634\u0646\u0627\u0633\u0627\u06cc\u06cc <strong data-start=\"711\" data-end=\"733\">\u062a\u0641\u0627\u0648\u062a \u0645\u06cc\u0627\u0646 \u06af\u0631\u0648\u0647\u200c\u0647\u0627<\/strong> \u062f\u0631 \u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0639\u062f\u062f\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u062f\u0633\u062a\u0647\u200c\u0628\u0646\u062f\u06cc \u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0637\u0628\u0642\u0647\u200c\u0627\u06cc<\/p>\n<\/li>\n<li data-start=\"786\" data-end=\"829\">\n<p data-start=\"788\" data-end=\"829\">\u062a\u062d\u0644\u06cc\u0644 <strong data-start=\"794\" data-end=\"829\">\u0648\u0627\u0628\u0633\u062a\u06af\u06cc \u0645\u062a\u0642\u0627\u0628\u0644 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u0637\u0628\u0642\u0647\u200c\u0627\u06cc<\/strong><\/p>\n<\/li>\n<li data-start=\"830\" data-end=\"887\">\n<p data-start=\"832\" data-end=\"887\">\u0622\u0645\u0627\u062f\u06af\u06cc \u0628\u0631\u0627\u06cc <strong data-start=\"844\" data-end=\"887\">\u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc (Predictive Modeling)<\/strong><\/p>\n<\/li>\n<\/ul>\n<h2 data-start=\"1365\" data-end=\"1417\">\u062a\u062d\u0644\u06cc\u0644 \u0639\u062f\u062f\u06cc \u0628\u0627 \u0639\u062f\u062f\u06cc (Numerical vs Numerical)<\/h2>\n<h3 data-start=\"1419\" data-end=\"1430\">\u00a0\u0647\u062f\u0641:<\/h3>\n<p data-start=\"1431\" data-end=\"1513\">\u0628\u0631\u0631\u0633\u06cc <strong data-start=\"1437\" data-end=\"1458\">\u0645\u06cc\u0632\u0627\u0646 \u0648 \u0646\u0648\u0639 \u0631\u0627\u0628\u0637\u0647<\/strong> \u0628\u06cc\u0646 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u0639\u062f\u062f\u06cc \u0645\u0627\u0646\u0646\u062f \u00ab\u0642\u062f \u0648 \u0648\u0632\u0646\u00bb \u06cc\u0627 \u00ab\u062f\u0631\u0622\u0645\u062f \u0648 \u0645\u062e\u0627\u0631\u062c\u00bb.<\/p>\n<h3 data-start=\"1515\" data-end=\"1529\">\u00a0\u0631\u0648\u0634\u200c\u0647\u0627:<\/h3>\n<ul data-start=\"1530\" data-end=\"1675\">\n<li data-start=\"1530\" data-end=\"1589\">\n<p data-start=\"1532\" data-end=\"1589\"><strong data-start=\"1532\" data-end=\"1589\">\u0636\u0631\u06cc\u0628 \u0647\u0645\u0628\u0633\u062a\u06af\u06cc \u067e\u06cc\u0631\u0633\u0648\u0646 (Pearson correlation coefficient)<\/strong><\/p>\n<\/li>\n<li data-start=\"1590\" data-end=\"1626\">\n<p data-start=\"1592\" data-end=\"1626\"><strong data-start=\"1592\" data-end=\"1608\">Scatter Plot<\/strong> (\u0646\u0645\u0648\u062f\u0627\u0631 \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc)<\/p>\n<\/li>\n<li data-start=\"1627\" data-end=\"1675\">\n<p data-start=\"1629\" data-end=\"1675\"><strong data-start=\"1629\" data-end=\"1675\">\u062e\u0637 <a href=\"https:\/\/rezaalie.ir\/blog\/%d8%b1%da%af%d8%b1%d8%b3%db%8c%d9%88%d9%86-%d8%ae%d8%b7%db%8c\/\">\u0631\u06af\u0631\u0633\u06cc\u0648\u0646<\/a> \u0633\u0627\u062f\u0647 (Simple Linear <a href=\"https:\/\/rezaalie.ir\/blog\/logistic-regression-%d8%a8%d9%87-%d8%b2%d8%a8%d8%a7%d9%86-%d8%b3%d8%a7%d8%af%d9%87\/\">Regression<\/a>)<\/strong><\/p>\n<\/li>\n<\/ul>\n<h2 data-start=\"1925\" data-end=\"1982\">\u062a\u062d\u0644\u06cc\u0644 \u0639\u062f\u062f\u06cc \u0628\u0627 \u0637\u0628\u0642\u0647\u200c\u0627\u06cc (Numerical vs Categorical)<\/h2>\n<h3 data-start=\"1984\" data-end=\"1995\">\u00a0\u0647\u062f\u0641:<\/h3>\n<p data-start=\"1996\" data-end=\"2123\">\u0628\u0631\u0631\u0633\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0622\u06cc\u0627 \u0645\u062a\u063a\u06cc\u0631 \u0639\u062f\u062f\u06cc \u062f\u0631 \u06af\u0631\u0648\u0647\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u062a\u063a\u06cc\u0631 \u0637\u0628\u0642\u0647\u200c\u0627\u06cc <strong data-start=\"2055\" data-end=\"2072\">\u062a\u0641\u0627\u0648\u062a \u0645\u0639\u0646\u0627\u062f\u0627\u0631<\/strong> \u062f\u0627\u0631\u062f \u06cc\u0627 \u0646\u0647\u061b \u0645\u062b\u0644\u0627\u064b: \u00ab\u0645\u0642\u0627\u06cc\u0633\u0647 \u062f\u0631\u0622\u0645\u062f \u0628\u06cc\u0646 \u0632\u0646\u0627\u0646 \u0648 \u0645\u0631\u062f\u0627\u0646\u00bb<\/p>\n<h3 data-start=\"2125\" data-end=\"2139\">\u00a0\u0631\u0648\u0634\u200c\u0647\u0627:<\/h3>\n<ul data-start=\"2140\" data-end=\"2244\">\n<li data-start=\"2140\" data-end=\"2168\">\n<p data-start=\"2142\" data-end=\"2168\"><strong data-start=\"2142\" data-end=\"2168\">Box Plot \/ Violin Plot<\/strong><\/p>\n<\/li>\n<li data-start=\"2169\" data-end=\"2196\">\n<p data-start=\"2171\" data-end=\"2196\"><strong data-start=\"2171\" data-end=\"2196\">Groupby Mean \/ Median<\/strong><\/p>\n<\/li>\n<li data-start=\"2197\" data-end=\"2244\">\n<p data-start=\"2199\" data-end=\"2244\"><strong data-start=\"2199\" data-end=\"2244\">One-way ANOVA (\u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0645\u0639\u0646\u0627\u062f\u0627\u0631\u06cc \u0622\u0645\u0627\u0631\u06cc)<\/strong><\/p>\n<\/li>\n<\/ul>\n<h2 data-start=\"2411\" data-end=\"2473\">\u062a\u062d\u0644\u06cc\u0644 \u0637\u0628\u0642\u0647\u200c\u0627\u06cc \u0628\u0627 \u0637\u0628\u0642\u0647\u200c\u0627\u06cc (Categorical vs Categorical)<\/h2>\n<h3 data-start=\"2475\" data-end=\"2486\">\u0647\u062f\u0641:<\/h3>\n<p data-start=\"2487\" data-end=\"2571\">\u0628\u0631\u0631\u0633\u06cc \u0648\u0627\u0628\u0633\u062a\u06af\u06cc \u0628\u06cc\u0646 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u0637\u0628\u0642\u0647\u200c\u0627\u06cc \u0645\u0627\u0646\u0646\u062f: \u00ab\u062c\u0646\u0633\u06cc\u062a \u0648 \u0642\u0628\u0648\u0644\u06cc\u00bb \u06cc\u0627 \u00ab\u0646\u0648\u0639 \u0634\u063a\u0644 \u0648 \u0633\u0637\u062d \u062a\u062d\u0635\u06cc\u0644\u0627\u062a\u00bb<\/p>\n<h3 data-start=\"2573\" data-end=\"2587\">\u00a0\u0631\u0648\u0634\u200c\u0647\u0627:<\/h3>\n<ul data-start=\"2588\" data-end=\"2699\">\n<li data-start=\"2588\" data-end=\"2624\">\n<p data-start=\"2590\" data-end=\"2624\"><strong data-start=\"2590\" data-end=\"2624\">Cross-tabulation (\u062c\u062f\u0648\u0644 \u062a\u0648\u0627\u0641\u0642\u06cc)<\/strong><\/p>\n<\/li>\n<li data-start=\"2625\" data-end=\"2647\">\n<p data-start=\"2627\" data-end=\"2647\"><strong data-start=\"2627\" data-end=\"2647\">Stacked Bar Plot<\/strong><\/p>\n<\/li>\n<li data-start=\"2648\" data-end=\"2661\">\n<p data-start=\"2650\" data-end=\"2661\"><strong data-start=\"2650\" data-end=\"2661\">Heatmap<\/strong><\/p>\n<\/li>\n<li data-start=\"2662\" data-end=\"2699\">\n<p data-start=\"2664\" data-end=\"2699\"><strong data-start=\"2664\" data-end=\"2699\">\u0622\u0632\u0645\u0648\u0646 \u0645\u0631\u0628\u0639 \u062e\u06cc (Chi-square test)<\/strong><\/p>\n<\/li>\n<\/ul>\n<h2 data-start=\"3195\" data-end=\"3229\">\u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc Bivariate Analysis<\/h2>\n<ul data-start=\"3231\" data-end=\"3442\">\n<li data-start=\"3231\" data-end=\"3287\">\n<p data-start=\"3233\" data-end=\"3287\">\u0627\u0646\u062a\u062e\u0627\u0628 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u0645\u0647\u0645 \u0628\u0631\u0627\u06cc \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc (Feature Selection)<\/p>\n<\/li>\n<li data-start=\"3288\" data-end=\"3325\">\n<p data-start=\"3290\" data-end=\"3325\">\u062f\u0631\u06a9 \u0628\u0647\u062a\u0631 \u0631\u0648\u0627\u0628\u0637 \u0639\u0644\u06cc \u0648 \u0645\u0639\u0644\u0648\u0644\u06cc \u0627\u062d\u062a\u0645\u0627\u0644\u06cc<\/p>\n<\/li>\n<li data-start=\"3326\" data-end=\"3386\">\n<p data-start=\"3328\" data-end=\"3386\">\u0628\u0631\u0631\u0633\u06cc \u0641\u0631\u0636\u06cc\u0647\u200c\u0647\u0627 (\u0645\u062b\u0644\u0627\u064b \u0627\u06cc\u0646\u06a9\u0647 \u0634\u063a\u0644 \u0628\u0631 \u062f\u0631\u0622\u0645\u062f \u062a\u0623\u062b\u06cc\u0631 \u062f\u0627\u0631\u062f \u06cc\u0627 \u0646\u0647)<\/p>\n<\/li>\n<li data-start=\"3387\" data-end=\"3442\">\n<p data-start=\"3389\" data-end=\"3442\">\u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u0645\u062a\u063a\u06cc\u0631 \u0647\u062f\u0641 (\u0645\u062b\u0644\u0627\u064b \u0627\u062d\u062a\u0645\u0627\u0644 \u0642\u0628\u0648\u0644\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u062c\u0646\u0633\u06cc\u062a)<\/p>\n<\/li>\n<\/ul>\n<p data-start=\"3465\" data-end=\"3654\">\u062a\u062d\u0644\u06cc\u0644 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631\u0647\u060c \u0645\u0631\u062d\u0644\u0647\u200c\u0627\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u062f\u0631 \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u0645\u0627 \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u062f <strong data-start=\"3535\" data-end=\"3574\">\u0631\u0627\u0628\u0637\u0647 \u0628\u06cc\u0646 \u062f\u0648 \u0648\u06cc\u0698\u06af\u06cc \u0631\u0627 \u0628\u0647\u062a\u0631 \u062f\u0631\u06a9 \u06a9\u0646\u06cc\u0645<\/strong>. \u0627\u06cc\u0646 \u062a\u062d\u0644\u06cc\u0644 \u062f\u0631 \u0645\u0633\u06cc\u0631 \u0633\u0627\u062e\u062a \u0645\u062f\u0644\u200c\u0647\u0627\u06cc <a href=\"https:\/\/rezaalie.ir\/blog\/%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-knn-%d8%a8%d9%87-%d8%b2%d8%a8%d8%a7%d9%86-%d8%b3%d8%a7%d8%af%d9%87\/\">\u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646<\/a> \u0628\u0633\u06cc\u0627\u0631 \u0627\u0631\u0632\u0634\u0645\u0646\u062f \u0627\u0633\u062a\u060c \u0632\u06cc\u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f:<\/p>\n<ul data-start=\"3656\" data-end=\"3800\">\n<li data-start=\"3656\" data-end=\"3694\">\n<p data-start=\"3658\" data-end=\"3694\">\u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0645\u0631\u062a\u0628\u0637 \u0628\u0627 \u0647\u062f\u0641 \u0631\u0627 \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u06a9\u0646\u062f<\/p>\n<\/li>\n<li data-start=\"3695\" data-end=\"3737\">\n<p data-start=\"3697\" data-end=\"3737\">\u0627\u0644\u06af\u0648\u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0628\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627 \u0631\u0627 \u0622\u0634\u06a9\u0627\u0631 \u0633\u0627\u0632\u062f<\/p>\n<\/li>\n<li data-start=\"3738\" data-end=\"3800\">\n<p data-start=\"3740\" data-end=\"3800\">\u0628\u0631 \u062a\u0635\u0645\u06cc\u0645\u200c\u06af\u06cc\u0631\u06cc \u062f\u0631 \u0637\u0631\u0627\u062d\u06cc \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0622\u0645\u0627\u0631\u06cc \u0648 \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u062a\u0623\u062b\u06cc\u0631 \u0628\u06af\u0630\u0627\u0631\u062f<\/p>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u062d\u0644\u06cc\u0644 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631\u0647 (Bivariate Analysis) \u0628\u0647 \u0628\u0631\u0631\u0633\u06cc \u0647\u0645\u0632\u0645\u0627\u0646 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0631\u0648\u0627\u0628\u0637 \u0622\u0645\u0627\u0631\u06cc \u06cc\u0627 \u0648\u0627\u0628\u0633\u062a\u06af\u06cc \u0628\u06cc\u0646 \u0622\u0646\u200c\u0647\u0627 \u0645\u06cc\u200c\u067e\u0631\u062f\u0627\u0632\u062f. \u0628\u0631\u062e\u0644\u0627\u0641 \u062a\u062d\u0644\u06cc\u0644 \u062a\u06a9\u200c\u0645\u062a\u063a\u06cc\u0631\u0647 \u06a9\u0647 \u0641\u0642\u0637 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