{"id":826,"date":"2023-07-28T15:22:57","date_gmt":"2023-07-28T15:22:57","guid":{"rendered":"https:\/\/statorials.org\/cn\/z-%e5%88%86%e6%95%b0-python\/"},"modified":"2023-07-28T15:22:57","modified_gmt":"2023-07-28T15:22:57","slug":"z-%e5%88%86%e6%95%b0-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/z-%e5%88%86%e6%95%b0-python\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u8ba1\u7b97 z \u5206\u6570"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c <strong>z \u5206\u6570<\/strong>\u544a\u8bc9\u6211\u4eec\u67d0\u4e2a\u503c\u4e0e<a href=\"https:\/\/statorials.org\/cn\/\u8861\u91cf\u96c6\u4e2d\u8d8b\u52bf\/\" target=\"_blank\" rel=\"noopener\">\u5e73\u5747\u503c<\/a>\u7684\u6807\u51c6\u5dee\u6709\u591a\u5c11\u3002\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97 z \u5206\u6570\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">X \u662f\u5355\u4e2a\u539f\u59cb\u6570\u636e\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\">\u03bc \u662f\u603b\u4f53\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\">\u03c3 \u662f\u603b\u4f53\u6807\u51c6\u5dee<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u8ba1\u7b97\u539f\u59cb\u6570\u636e\u503c\u7684 z \u5206\u6570\u3002<\/span><\/p>\n<h3><strong>\u5982\u4f55\u7528 Python \u8ba1\u7b97 Z \u5206\u6570<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>scipy.stats.zscore<\/strong>\u5728 Python \u4e2d\u8ba1\u7b97 z \u5206\u6570\uff0c\u5b83\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>scipy.stats.zscore(a, axis=0, ddof=0, nan_policy=&#8217;propagate&#8217;)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>a<\/strong> \uff1a\u5305\u542b\u6570\u636e\u7684\u6570\u7ec4\u7c7b\u578b\u5bf9\u8c61<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>axis<\/strong> \uff1a\u8ba1\u7b97 z \u5206\u6570\u7684\u8f74\u3002\u9ed8\u8ba4\u503c\u4e3a 0\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>ddof<\/strong> \uff1a\u6807\u51c6\u5dee\u8ba1\u7b97\u4e2d\u81ea\u7531\u5ea6\u7684\u4fee\u6b63\u3002\u9ed8\u8ba4\u503c\u4e3a 0\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>nan_policy<\/strong> \uff1a\u5f53\u8f93\u5165\u5305\u542b nan \u65f6\u5982\u4f55\u5904\u7406\u3002\u9ed8\u8ba4\u503c\u662fpropagate\uff0c\u5b83\u8fd4\u56denan\u3002 &#8216;raise&#8217; \u5f15\u53d1\u9519\u8bef\uff0c&#8217;omit&#8217; \u6267\u884c\u5ffd\u7565 nan \u503c\u7684\u8ba1\u7b97\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u8bf4\u660e\u5982\u4f55\u4f7f\u7528\u6b64\u51fd\u6570\u8ba1\u7b97\u4e00\u7ef4 numpy \u6570\u7ec4\u3001\u591a\u7ef4 numpy \u6570\u7ec4\u548c Pandas DataFrame \u7684 z \u5206\u6570\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Numpy \u4e00\u7ef4\u6570\u7ec4<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 1 \u6b65\uff1a\u5bfc\u5165\u6a21\u5757\u3002<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import <span style=\"color: #000000;\">pandas<\/span> as <span style=\"color: #000000;\">pd<\/span>\nimport<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2\uff1a\u521b\u5efa\u503c\u8868\u3002<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = np.array([6, 7, 7, 12, 13, 13, 15, 16, 19, 22])\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u8ba1\u7b97\u8868\u4e2d\u6bcf\u4e2a\u503c\u7684 z \u5206\u6570\u3002<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>stats.zscore(data)\n\n<span style=\"color: #000000;\">[-1.394, -1.195, -1.195, -0.199, 0, 0, 0.398, 0.598, 1.195, 1.793]<\/span>\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6bcf\u4e2a z \u5206\u6570\u544a\u8bc9\u6211\u4eec\u5355\u4e2a\u503c\u4e0e\u5e73\u5747\u503c\u7684\u6807\u51c6\u5dee\u6709\u591a\u5c11\u3002\u4f8b\u5982\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u8868\u4e2d\u7684\u7b2c\u4e00\u4e2a\u503c\u201c6\u201d\u6bd4\u5e73\u5747\u503c<em>\u4f4e<\/em><strong>1.394 \u4e2a<\/strong>\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u8868\u4e2d\u7684\u7b2c\u4e94\u4e2a\u503c\u201c13\u201d\u4e0e\u5e73\u5747\u503c\u7684\u6807\u51c6\u5dee\u4e3a<strong>0<\/strong> \uff0c\u5373\u7b49\u4e8e\u5e73\u5747\u503c\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u8868\u4e2d\u7684\u6700\u540e\u4e00\u4e2a\u503c\u201c22\u201d\u6bd4\u5e73\u5747\u503c<em>\u9ad8<\/em><strong>1.793 \u4e2a<\/strong>\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Numpy \u591a\u7ef4\u6570\u7ec4<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e2a\u591a\u7ef4\u6570\u7ec4\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>axis<\/strong>\u53c2\u6570\u6765\u6307\u5b9a\u6211\u4eec\u8981\u8ba1\u7b97\u76f8\u5bf9\u4e8e\u5176\u81ea\u8eab\u6570\u7ec4\u7684\u6bcf\u4e2a z \u5206\u6570\u3002\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u591a\u7ef4\u6570\u7ec4\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = np.array([[5, 6, 7, 7, 8],\n                 [8, 8, 8, 9, 9],\n                 [2, 2, 4, 4, 5]])\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\u6765\u8ba1\u7b97\u6bcf\u4e2a\u8868\u7684 z \u5206\u6570\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>stats.zscore(data, axis=1)\n\n[[-1.569 -0.588 0.392 0.392 1.373]\n[-0.816 -0.816 -0.816 1.225 1.225]\n[-1.167 -1.167 0.5 0.5 1.333]]\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6bcf\u4e2a\u5355\u72ec\u503c\u7684 z \u5206\u6570\u662f\u76f8\u5bf9\u4e8e\u5b83\u4eec\u6240\u5728\u7684\u8868\u663e\u793a\u7684\u3002\u4f8b\u5982\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u7b2c\u4e00\u4e2a\u8868\u4e2d\u7684\u7b2c\u4e00\u4e2a\u503c\u201c5\u201d\u6bd4\u5176\u8868\u5e73\u5747\u503c<em>\u4f4e<\/em><strong>1.159 \u4e2a<\/strong>\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7b2c\u4e8c\u4e2a\u8868\u4e2d\u7684\u7b2c\u4e00\u4e2a\u503c\u201c8\u201d\u6bd4\u5176\u8868\u5e73\u5747\u503c<em>\u4f4e<\/em><strong>0.816 \u4e2a<\/strong>\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7b2c\u4e09\u4e2a\u8868\u4e2d\u7684\u7b2c\u4e00\u4e2a\u503c\u201c2\u201d\u6bd4\u5176\u8868\u7684\u5e73\u5747\u503c<em>\u4f4e<\/em><strong>1.167 \u4e2a<\/strong>\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u718a\u732b\u6570\u636e\u6846<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a Pandas DataFrame\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = pd.DataFrame(np.random.randint(0, 10, size=(5, 3)), columns=['A', 'B', 'C'])\ndata\n\nABC\n0 8 0 9\n1 4 0 7\n2 9 6 8\n3 1 8 1\n4 8 0 8\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>apply<\/strong>\u51fd\u6570\u6765\u8ba1\u7b97\u6bcf\u5217\u5404\u4e2a\u503c\u7684 z \u5206\u6570\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data.apply(stats.zscore)\n\n          ABC\n0 0.659380 -0.802955 0.836080\n1 -0.659380 -0.802955 0.139347\n2 0.989071 0.917663 0.487713\n3 -1.648451 1.491202 -1.950852\n4 0.659380 -0.802955 0.487713\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6bcf\u4e2a\u5355\u72ec\u503c\u7684 z \u5206\u6570\u662f\u76f8\u5bf9\u4e8e\u5b83\u4eec\u6240\u5728\u7684\u5217\u663e\u793a\u7684\u3002\u4f8b\u5982\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u7b2c\u4e00\u5217\u4e2d\u7684\u7b2c\u4e00\u4e2a\u503c\u201c8\u201d\u6bd4\u8be5\u5217\u7684\u5e73\u5747\u503c<em>\u9ad8<\/em><strong>0.659 \u4e2a<\/strong>\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7b2c\u4e8c\u5217\u4e2d\u7684\u7b2c\u4e00\u4e2a\u201c0\u201d\u503c\u6bd4\u8be5\u5217\u4e2d\u7684\u5e73\u5747\u503c<em>\u4f4e<\/em><strong>0.803 \u4e2a<\/strong>\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7b2c\u4e09\u5217\u4e2d\u7684\u7b2c\u4e00\u4e2a\u503c\u201c9\u201d\u6bd4\u8be5\u5217\u7684\u5e73\u5747\u503c<em>\u9ad8<\/em><strong>0.836 \u4e2a<\/strong>\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90\uff1a<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/z-\u5206\u6570-excel\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u8ba1\u7b97 Z \u5206\u6570<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/spss-z-\u5206\u6570\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 SPSS \u4e2d\u8ba1\u7b97 Z \u5206\u6570<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/z-\u5206\u6570-ti-84-\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 TI-84 \u8ba1\u7b97\u5668\u4e0a\u8ba1\u7b97 Z \u5206\u6570<\/a><\/p>\n<dl class=\"field-list simple\">\n<dd class=\"field-odd\"><\/dd>\n<\/dl>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c z \u5206\u6570\u544a\u8bc9\u6211\u4eec\u67d0\u4e2a\u503c\u4e0e\u5e73\u5747\u503c\u7684\u6807\u51c6\u5dee\u6709\u591a\u5c11\u3002\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97 z \u5206\u6570\uff1a z = (X  [&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":[],"class_list":["post-826","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5982\u4f55\u5728 Python \u4e2d\u8ba1\u7b97 Z \u5206\u6570 \u2013 \u7edf\u8ba1\u5b66<\/title>\n<meta name=\"description\" content=\"\u5173\u4e8e\u5982\u4f55\u5728 Python \u4e2d\u8ba1\u7b97 z \u5206\u6570\u7684\u7b80\u5355\u8bf4\u660e\u3002\" \/>\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\/cn\/z-\u5206\u6570-python\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" 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