{"id":3145,"date":"2023-07-19T00:06:00","date_gmt":"2023-07-19T00:06:00","guid":{"rendered":"https:\/\/statorials.org\/pl\/wspolczynnik-giniego-w-pythonie\/"},"modified":"2023-07-19T00:06:00","modified_gmt":"2023-07-19T00:06:00","slug":"wspolczynnik-giniego-w-pythonie","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/wspolczynnik-giniego-w-pythonie\/","title":{"rendered":"Jak obliczy\u0107 wsp\u00f3\u0142czynnik giniego w pythonie (z przyk\u0142adem)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Nazwany na cze\u015b\u0107 w\u0142oskiego statystyka <a href=\"https:\/\/en.wikipedia.org\/wiki\/Corrado_Gini\" target=\"_blank\" rel=\"noopener\">Corrado Giniego<\/a> , <strong>wsp\u00f3\u0142czynnik Giniego<\/strong> jest sposobem pomiaru rozk\u0142adu dochod\u00f3w populacji.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Warto\u015b\u0107 wsp\u00f3\u0142czynnika Giniego waha si\u0119 od 0 do 1, gdzie wy\u017csze warto\u015bci oznaczaj\u0105 wi\u0119ksz\u0105 nier\u00f3wno\u015b\u0107 dochod\u00f3w i gdzie:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> oznacza idealn\u0105 r\u00f3wno\u015b\u0107 dochod\u00f3w (wszyscy maj\u0105 taki sam doch\u00f3d)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1<\/strong> oznacza idealn\u0105 nier\u00f3wno\u015b\u0107 dochod\u00f3w (jedna osoba ma ca\u0142y doch\u00f3d)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">List\u0119 wsp\u00f3\u0142czynnik\u00f3w Giniego wed\u0142ug kraj\u00f3w znajdziesz <a href=\"https:\/\/en.wikipedia.org\/wiki\/List_of_countries_by_income_equality\" target=\"_blank\" rel=\"noopener\">tutaj<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje, jak obliczy\u0107 wsp\u00f3\u0142czynnik Giniego w Pythonie.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: oblicz wsp\u00f3\u0142czynnik Giniego w Pythonie<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Aby obliczy\u0107 wsp\u00f3\u0142czynnik Giniego w Pythonie, musimy najpierw zdefiniowa\u0107 prost\u0105 funkcj\u0119 obliczaj\u0105c\u0105 wsp\u00f3\u0142czynnik Giniego dla tablicy warto\u015bci NumPy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#define function to calculate Gini coefficient\n<\/span><span style=\"color: #008000;\">def<\/span> gini(x):\n    total = 0\n    <span style=\"color: #008000;\">for<\/span> i, xi <span style=\"color: #008000;\">in<\/span> enumerate(x[:-1], 1):\n        total += np. <span style=\"color: #3366ff;\">sum<\/span> (np. <span style=\"color: #3366ff;\">abs<\/span> (xi - x[i:]))\n    <span style=\"color: #008000;\">return<\/span> total \/ (len(x)**2 * <span style=\"color: #3366ff;\">np.mean<\/span> (x))<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie u\u017cyjemy tej funkcji do obliczenia wsp\u00f3\u0142czynnika Giniego dla tabeli warto\u015bci dochod\u00f3w.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy na przyk\u0142ad, \u017ce mamy nast\u0119puj\u0105c\u0105 list\u0119 rocznych dochod\u00f3w 10 os\u00f3b:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Doch\u00f3d: 50 000 USD, 50 000 USD, 70 000 USD, 70 000 USD, 70 000 USD, 90 000 USD, 150 000 USD, 150 000 USD, 150 000 USD, 150 000 USD<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak u\u017cy\u0107 w\u0142a\u015bnie utworzonej funkcji <strong>gini()<\/strong> do obliczenia wsp\u00f3\u0142czynnika Giniego dla tej populacji:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define NumPy array of income values\n<span style=\"color: #000000;\">income = np. <span style=\"color: #3366ff;\">array<\/span> ([50, 50, 70, 70, 70, 90, 150, 150, 150, 150])\n<\/span>\n#calculate Gini coefficient for array of incomes\n<span style=\"color: #000000;\">gini(incomes)\n\n0.226\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Wsp\u00f3\u0142czynnik Giniego wynosi <strong>0,226<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Uwaga<\/strong> : w scenariuszu ze \u015bwiata rzeczywistego w danym kraju istnia\u0142yby setki tysi\u0119cy r\u00f3\u017cnych dochod\u00f3w os\u00f3b, ale w tym przyk\u0142adzie jako prost\u0105 ilustracj\u0119 wykorzystali\u015bmy 10 os\u00f3b.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak obliczy\u0107 wsp\u00f3\u0142czynnik Giniego przy u\u017cyciu r\u00f3\u017cnych program\u00f3w statystycznych:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/wspo\u0142czynnik-giniego-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 wsp\u00f3\u0142czynnik Giniego w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wspo\u0142czynnik-giniego-w-excelu\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 wsp\u00f3\u0142czynnik Giniego w Excelu<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nazwany na cze\u015b\u0107 w\u0142oskiego statystyka Corrado Giniego , wsp\u00f3\u0142czynnik Giniego jest sposobem pomiaru rozk\u0142adu dochod\u00f3w populacji. Warto\u015b\u0107 wsp\u00f3\u0142czynnika Giniego waha si\u0119 od 0 do 1, gdzie wy\u017csze warto\u015bci oznaczaj\u0105 wi\u0119ksz\u0105 nier\u00f3wno\u015b\u0107 dochod\u00f3w i gdzie: 0 oznacza idealn\u0105 r\u00f3wno\u015b\u0107 dochod\u00f3w (wszyscy maj\u0105 taki sam doch\u00f3d) 1 oznacza idealn\u0105 nier\u00f3wno\u015b\u0107 dochod\u00f3w (jedna osoba ma ca\u0142y doch\u00f3d) List\u0119 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3145","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak obliczy\u0107 wsp\u00f3\u0142czynnik Giniego w Pythonie (z przyk\u0142adem) - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 wsp\u00f3\u0142czynnik Giniego w Pythonie, podaj\u0105c pe\u0142ny przyk\u0142ad.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/wspolczynnik-giniego-w-pythonie\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak obliczy\u0107 wsp\u00f3\u0142czynnik Giniego w Pythonie (z przyk\u0142adem) - 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