{"id":2664,"date":"2023-07-21T06:56:19","date_gmt":"2023-07-21T06:56:19","guid":{"rendered":"https:\/\/statorials.org\/cn\/python-%e4%b8%ad%e7%9a%84-kpss-%e6%b5%8b%e8%af%95\/"},"modified":"2023-07-21T06:56:19","modified_gmt":"2023-07-21T06:56:19","slug":"python-%e4%b8%ad%e7%9a%84-kpss-%e6%b5%8b%e8%af%95","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/python-%e4%b8%ad%e7%9a%84-kpss-%e6%b5%8b%e8%af%95\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u6267\u884c kpss \u6d4b\u8bd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>KPSS \u68c0\u9a8c<\/strong>\u53ef\u7528\u4e8e\u786e\u5b9a\u65f6\u95f4\u5e8f\u5217\u662f\u5426\u5177\u6709\u5e73\u7a33\u8d8b\u52bf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u68c0\u9a8c\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> \uff1a\u65f6\u95f4\u5e8f\u5217\u5177\u6709\u5e73\u7a33\u8d8b\u52bf\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> \uff1a\u65f6\u95f4\u5e8f\u5217<em>\u6ca1\u6709<\/em>\u56fa\u5b9a\u8d8b\u52bf\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5982\u679c\u68c0\u9a8c\u7684<a href=\"https:\/\/statorials.org\/cn\/p\u503c\u7edf\u8ba1\u663e\u7740\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u503c<\/a>\u4f4e\u4e8e\u4e00\u5b9a\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u4f8b\u5982 \u03b1 = 0.05\uff09\uff0c\u5219\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51fa\u65f6\u95f4\u5e8f\u5217\u4e0d\u5177\u6709\u5e73\u7a33\u8d8b\u52bf\u7684\u7ed3\u8bba\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5426\u5219\uff0c\u6211\u4eec\u5c06\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c KPSS \u6d4b\u8bd5\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1aPython \u4e2d\u7684 KPSS \u6d4b\u8bd5\uff08\u4f7f\u7528\u5e73\u7a33\u6570\u636e\uff09<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u8ba9\u6211\u4eec\u5728 Python \u4e2d\u521b\u5efa\u4e00\u4e9b\u8981\u4f7f\u7528\u7684\u5047\u6570\u636e\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">1<\/span> )\n\n<span style=\"color: #008080;\">#create time series data\n<\/span>data = np. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">normal<\/span> (size= <span style=\"color: #008000;\">100<\/span> )\n\n<span style=\"color: #008080;\">#create line plot of time series data\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (data)<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-23462 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kpss3.jpg\" alt=\"\" width=\"524\" height=\"351\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<b>statsmodels<\/b>\u5305\u4e2d\u7684<strong>kpss()<\/strong>\u51fd\u6570\u5bf9\u6b64\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u6267\u884c KPSS \u6d4b\u8bd5\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#perform KPSS test\n<\/span>sm. <span style=\"color: #3366ff;\">tsa<\/span> . <span style=\"color: #3366ff;\">stattools<\/span> . <span style=\"color: #3366ff;\">kpss<\/span> (data, regression=' <span style=\"color: #ff0000;\">ct<\/span> ')\n\n(0.0477617848370993,\n 0.1,\n 1,\n {'10%': 0.119, '5%': 0.146, '2.5%': 0.176, '1%': 0.216})\n\nInterpolationWarning: The test statistic is outside of the range of p-values available\nin the look-up table. The actual p-value is greater than the p-value returned.\n<\/strong><\/span><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\u7ed3\u679c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">KPSS \u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a <strong>0.04776<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">p \u503c\uff1a <strong>0.1<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u622a\u65ad\u504f\u79fb\u53c2\u6570\uff1a <strong>1<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>10%<\/strong> \u3001 <strong>5%<\/strong> \u3001 <strong>2.5%<\/strong>\u548c<strong>1%<\/strong>\u7684\u4e34\u754c\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">p \u503c\u4e3a<strong>0.1<\/strong> \u3002\u7531\u4e8e\u8be5\u503c\u4e0d\u5c0f\u4e8e0.05\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7eddKPSS\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u65f6\u95f4\u5e8f\u5217\u5177\u6709\u5e73\u7a33\u8d8b\u52bf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 1<\/strong> \uff1ap \u503c\u5b9e\u9645\u4e0a\u4ecd\u7136\u5927\u4e8e 0.1\uff0c\u4f46 kpss() \u51fd\u6570\u4ea7\u751f\u7684\u6700\u4f4e\u503c\u662f 0.1\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce82<\/strong> \uff1a\u60a8\u5fc5\u987b\u4f7f\u7528<strong>regression=&#8217;ct&#8217;<\/strong>\u53c2\u6570\u6765\u6307\u5b9a\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u662f\u6570\u636e\u5177\u6709\u5e73\u7a33\u8d8b\u52bf\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1aPython \u4e2d\u7684 KPSS \u6d4b\u8bd5\uff08\u4f7f\u7528\u975e\u5e73\u7a33\u6570\u636e\uff09<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u8ba9\u6211\u4eec\u5728 Python \u4e2d\u521b\u5efa\u4e00\u4e9b\u8981\u4f7f\u7528\u7684\u5047\u6570\u636e\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">1<\/span> )\n\n<span style=\"color: #008080;\">#create time series data\n<\/span>data =np. <span style=\"color: #3366ff;\">array<\/span> ([0, 3, 4, 3, 6, 7, 5, 8, 15, 13, 19, 12, 29, 15, 45, 23, 67, 45])\n\n<span style=\"color: #008080;\">#create line plot of time series data\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (data)<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-23463 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kpss4.jpg\" alt=\"\" width=\"525\" height=\"350\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u540c\u6837\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<b>statsmodels<\/b>\u5305\u4e2d\u7684<strong>kpss()<\/strong>\u51fd\u6570\u5bf9\u6b64\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u6267\u884c KPSS \u6d4b\u8bd5\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#perform KPSS test\n<\/span>sm. <span style=\"color: #3366ff;\">tsa<\/span> . <span style=\"color: #3366ff;\">stattools<\/span> . <span style=\"color: #3366ff;\">kpss<\/span> (data, regression=' <span style=\"color: #ff0000;\">ct<\/span> ')\n\n(0.15096358910843685,\n 0.04586367574296928,\n 3,\n {'10%': 0.119, '5%': 0.146, '2.5%': 0.176, '1%': 0.216})\n<\/strong><\/span><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\u7ed3\u679c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">KPSS \u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a <strong>0.1509<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">p \u503c\uff1a <strong>0.0458<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u622a\u65ad\u504f\u79fb\u53c2\u6570\uff1a <strong>3<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>10%<\/strong> \u3001 <strong>5%<\/strong> \u3001 <strong>2.5%<\/strong>\u548c<strong>1%<\/strong>\u7684\u4e34\u754c\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">p \u503c\u4e3a<strong>0.0458<\/strong> \u3002\u8be5\u503c\u5c0f\u4e8e 0.05\uff0c\u6211\u4eec\u62d2\u7edd KPSS \u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u65f6\u95f4\u5e8f\u5217<em>\u4e0d\u662f<\/em>\u5e73\u7a33\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8\u610f<\/strong>\uff1a\u60a8\u53ef\u4ee5\u5728<a href=\"https:\/\/www.statsmodels.org\/stable\/generated\/statsmodels.tsa.stattools.kpss.html\" target=\"_blank\" rel=\"noopener\">\u6b64\u5904\u7684<\/a>statsmodels \u5305\u4e2d\u627e\u5230 kpss() \u51fd\u6570\u7684\u5b8c\u6574\u6587\u6863\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><span style=\"color: #000000;\"><br \/><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u4e86\u6709\u5173\u5982\u4f55\u5728 Python \u4e2d\u4f7f\u7528\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u7684\u66f4\u591a\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u8fea\u57fa\u00b7\u5bcc\u52d2\u6d4b\u8bd5-python\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u589e\u5f3a\u7684 Dickey-Fuller \u6d4b\u8bd5<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u66fc\u80af\u5fb7\u5c14\u6d4b\u8bd5python\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u4f7f\u7528 Python \u6267\u884c Mann-Kendall \u8d8b\u52bf\u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/matplotlib-\u65f6\u95f4\u5e8f\u5217\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Matplotlib \u4e2d\u7ed8\u5236\u65f6\u95f4\u5e8f\u5217<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>KPSS \u68c0\u9a8c\u53ef\u7528\u4e8e\u786e\u5b9a\u65f6\u95f4\u5e8f\u5217\u662f\u5426\u5177\u6709\u5e73\u7a33\u8d8b\u52bf\u3002 \u8be5\u68c0\u9a8c\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\uff1a H 0 \uff1a\u65f6\u95f4\u5e8f\u5217\u5177\u6709\u5e73 [&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-2664","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\u6267\u884c KPSS \u6d4b\u8bd5 - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u51e0\u4e2a\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c KPSS \u6d4b\u8bd5\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\/python-\u4e2d\u7684-kpss-\u6d4b\u8bd5\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" 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