{"id":3244,"date":"2023-07-18T12:20:42","date_gmt":"2023-07-18T12:20:42","guid":{"rendered":"https:\/\/statorials.org\/cn\/python-%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-18T12:20:42","modified_gmt":"2023-07-18T12:20:42","slug":"python-%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/python-%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u8fdb\u884c\u5047\u8bbe\u68c0\u9a8c\uff08\u9644\u793a\u4f8b\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u5047\u8bbe\u68c0\u9a8c1\/\" target=\"_blank\" rel=\"noopener\">\u5047\u8bbe\u68c0\u9a8c<\/a>\u662f\u4e00\u79cd\u6b63\u5f0f\u7684\u7edf\u8ba1\u68c0\u9a8c\uff0c\u6211\u4eec\u7528\u5b83\u6765\u62d2\u7edd\u6216\u672a\u80fd\u62d2\u7edd\u7edf\u8ba1\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u4ee5\u4e0b\u5047\u8bbe\u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6837\u672c t \u68c0\u9a8c<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e24\u6837\u672c T \u68c0\u9a8c<\/span><\/li>\n<li><span style=\"color: #000000;\">\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8d70\u5427\uff01<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1aPython \u4e2d\u7684 t \u68c0\u9a8c\u793a\u4f8b<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u6837\u672c-t-\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5355\u6837\u672c t \u68c0\u9a8c<\/a>\u7528\u4e8e\u6d4b\u8bd5\u603b\u4f53\u5e73\u5747\u503c\u662f\u5426\u7b49\u4e8e\u67d0\u4e2a\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u67d0\u79cd\u4e4c\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\u662f\u5426\u4e3a 310 \u78c5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u6536\u96c6\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u968f\u673a\u6d77\u9f9f\u6837\u672c\uff0c\u5176\u6743\u91cd\u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u91cd\u91cf<\/strong>: 300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528<strong>scipy.stats<\/strong>\u5e93\u4e2d\u7684<a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_1samp.html\" target=\"_blank\" rel=\"noopener noreferrer\">ttest_1samp()<\/a>\u51fd\u6570\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n\n<span style=\"color: #008080;\">#define data<\/span>\ndata = <span style=\"color: #000000;\">[300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303]<\/span>\n\n<span style=\"color: #008080;\">#perform one sample t-test<\/span>\nstats. <span style=\"color: #3366ff;\">ttest_1samp<\/span> (a=data, popmean= <span style=\"color: #008000;\">310<\/span> )\n\nTtest_1sampResult(statistic=-1.5848116313861254, pvalue=0.1389944275158753)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">t \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>-1.5848<\/strong> \uff0c\u76f8\u5e94\u7684\u53cc\u5c3e p \u503c\u4e3a<strong>0.1389<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9488\u5bf9\u7279\u5b9a\u6837\u672c\u8fdb\u884c t \u68c0\u9a8c\u7684\u4e24\u4e2a\u5047\u8bbe\u5982\u4e0b\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 = 310\uff08\u8be5\u79cd\u9f9f\u7684\u5e73\u5747\u4f53\u91cd\u4e3a 310 \u78c5\uff09<\/span><\/li>\n<li> <strong style=\"color: #000000;\">H <sub>A<\/sub> :<\/strong> <span style=\"color: #000000;\">\u00b5 \u2260310\uff08\u5e73\u5747\u4f53\u91cd\u4e0d\u662f<\/span><em style=\"color: #000000;\">310<\/em><span style=\"color: #000000;\">\u78c5\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u7684\u68c0\u9a8c\u7684 p \u503c<strong>(0.1389)<\/strong>\u5927\u4e8e alpha = 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u8fd9\u79cd\u7279\u5b9a\u79cd\u7c7b\u7684\u6d77\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\u4e0d\u662f 310 \u78c5\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1aPython \u4e2d\u7684\u4e24\u6837\u672c t \u68c0\u9a8c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u6d4b\u8bd5\u4f60\u7684\u4e24\u4e2a\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u53cc\u6837\u672c t \u68c0\u9a8c<\/a>\u7528\u4e8e\u68c0\u9a8c\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u662f\u5426\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u4e24\u79cd\u4e0d\u540c\u79cd\u7c7b\u7684\u6d77\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\u662f\u5426\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u4ece\u6bcf\u4e2a\u7269\u79cd\u4e2d\u6536\u96c6\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u968f\u673a\u6837\u672c\uff0c\u5176\u6743\u91cd\u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6837\u54c11<\/strong> \uff1a300\u3001315\u3001320\u3001311\u3001314\u3001309\u3001300\u3001308\u3001305\u3001303\u3001305\u3001301\u3001303<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6837\u54c12<\/strong> \uff1a335\u3001329\u3001322\u3001321\u3001324\u3001319\u3001304\u3001308\u3001305\u3001311\u3001307\u3001300\u3001305<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u4e86\u5982\u4f55\u4f7f\u7528<strong>scipy.stats<\/strong>\u5e93\u4e2d\u7684<a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_ind.html\" target=\"_blank\" rel=\"noopener\">ttest_ind()<\/a>\u51fd\u6570\u6765\u6267\u884c\u8fd9\u4e24\u4e2a t \u68c0\u9a8c\u793a\u4f8b\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> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> stats<\/span>\n\n#define array of turtle weights for each sample\n<span style=\"color: #000000;\">sample1 = [300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303]<\/span>\n<span style=\"color: #000000;\">sample2 = [335, 329, 322, 321, 324, 319, 304, 308, 305, 311, 307, 300, 305]<\/span>\n\n#perform two sample t-tests<\/span>\nstats. <span style=\"color: #3366ff;\">ttest_ind<\/span> (a=sample1, b=sample2) \n\nTtest_indResult(statistic=-2.1009029257555696, pvalue=0.04633501389516516)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">t \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>\u20132.1009<\/strong> \uff0c\u76f8\u5e94\u7684\u53cc\u5c3e p \u503c\u4e3a<strong>0.0463<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u7279\u5b9a\u53cc\u6837\u672c t \u68c0\u9a8c\u7684\u4e24\u4e2a\u5047\u8bbe\u662f\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 <sub>1<\/sub> = \u00b5 <sub>2<\/sub> \uff08\u4e24\u4e2a\u7269\u79cd\u4e4b\u95f4\u7684\u5e73\u5747\u91cd\u91cf\u76f8\u7b49\uff09<\/span><\/li>\n<li> <strong style=\"color: #000000;\">H <sub>A<\/sub> :<\/strong> <span style=\"color: #000000;\">\u00b5<\/span> <sub style=\"color: #000000;\">1<\/sub> <span style=\"color: #000000;\">\u2260 \u00b5<\/span> <sub style=\"color: #000000;\">2<\/sub> <span style=\"color: #000000;\">\uff08\u4e24\u4e2a\u7269\u79cd\u4e4b\u95f4\u7684\u5e73\u5747\u91cd\u91cf\u4e0d\u76f8\u7b49\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u68c0\u9a8c\u7684 p \u503c (0.0463) \u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e24\u4e2a\u7269\u79cd\u4e4b\u95f4\u7684\u5e73\u5747\u4f53\u91cd\u4e0d\u76f8\u7b49\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 3\uff1aPython \u4e2d\u7684\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5f53\u4e00\u4e2a\u6837\u672c\u4e2d\u7684\u6bcf\u4e2a\u89c2\u5bdf\u503c\u53ef\u4ee5\u4e0e\u53e6\u4e00\u4e2a\u6837\u672c\u4e2d\u7684\u89c2\u5bdf\u503c\u76f8\u5173\u8054\u65f6<a href=\"https:\/\/statorials.org\/cn\/\u914d\u5bf9\u6837\u672ct\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\uff0c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/a>\u7528\u4e8e\u6bd4\u8f83\u4e24\u4e2a\u6837\u672c\u7684\u5e73\u5747\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u67d0\u4e2a\u8bad\u7ec3\u8ba1\u5212\u662f\u5426\u80fd\u591f\u589e\u52a0\u7bee\u7403\u8fd0\u52a8\u5458\u7684\u6700\u5927\u5782\u76f4\u5f39\u8df3\uff08\u4ee5\u82f1\u5bf8\u4e3a\u5355\u4f4d\uff09\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u62db\u52df 12 \u540d\u5927\u5b66\u7bee\u7403\u8fd0\u52a8\u5458\u4f5c\u4e3a\u7b80\u5355\u7684\u968f\u673a\u6837\u672c\uff0c\u5e76\u6d4b\u91cf\u4ed6\u4eec\u6bcf\u4e2a\u4eba\u7684\u6700\u5927\u5782\u76f4\u5f39\u8df3\u3002\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u8ba9\u6bcf\u4e2a\u7403\u5458\u4f7f\u7528\u4e00\u4e2a\u6708\u7684\u8bad\u7ec3\u8ba1\u5212\uff0c\u7136\u540e\u5728\u6708\u5e95\u518d\u6b21\u6d4b\u91cf\u4ed6\u4eec\u7684\u6700\u5927\u5782\u76f4\u5f39\u8df3\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6570\u636e\u663e\u793a\u4e86\u6bcf\u4f4d\u7403\u5458\u4f7f\u7528\u8bad\u7ec3\u8ba1\u5212\u524d\u540e\u7684\u6700\u5927\u8df3\u8dc3\u9ad8\u5ea6\uff08\u4ee5\u82f1\u5bf8\u4e3a\u5355\u4f4d\uff09\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u524d<\/strong>: 22, 24, 20, 19, 19, 20, 22, 25, 24, 23, 22, 21<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4e4b\u540e<\/strong>: 23, 25, 20, 24, 18, 22, 23, 28, 24, 25, 24, 20<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u4e86\u5982\u4f55\u4f7f\u7528<strong>scipy.stats<\/strong>\u5e93\u4e2d\u7684<a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_rel.html\" target=\"_blank\" rel=\"noopener\">ttest_rel() \u51fd\u6570<\/a>\u6765\u6267\u884c\u6b64\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\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> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> stats<\/span>\n\n#define before and after max jump heights\n<span style=\"color: #000000;\">before = [22, 24, 20, 19, 19, 20, 22, 25, 24, 23, 22, 21]<\/span>\n<span style=\"color: #000000;\">after = [23, 25, 20, 24, 18, 22, 23, 28, 24, 25, 24, 20]<\/span>\n\n#perform paired samples t-test<\/span>\nstats. <span style=\"color: #3366ff;\">ttest_rel<\/span> (a=before, b=after)\n\nTtest_relResult(statistic=-2.5289026942943655, pvalue=0.02802807458682508)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">t \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>\u20132.5289<\/strong> \uff0c\u76f8\u5e94\u7684\u53cc\u5c3e p \u503c\u4e3a<strong>0.0280<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u7279\u5b9a\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7684\u4e24\u4e2a\u5047\u8bbe\u662f\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 <sub>1<\/sub> = \u00b5 <sub>2<\/sub> \uff08\u4f7f\u7528\u7a0b\u5e8f\u524d\u540e\u8df3\u8dc3\u7684\u5e73\u5747\u9ad8\u5ea6\u76f8\u7b49\uff09<\/span><\/li>\n<li> <strong style=\"color: #000000;\">H <sub>A<\/sub> :<\/strong> <span style=\"color: #000000;\">\u00b5<\/span> <sub style=\"color: #000000;\">1<\/sub> <span style=\"color: #000000;\">\u2260 \u00b5<\/span> <sub style=\"color: #000000;\">2<\/sub> <span style=\"color: #000000;\">(\u4f7f\u7528\u7a0b\u5e8f\u524d\u540e\u7684\u5e73\u5747\u8df3\u8dc3\u9ad8\u5ea6\u4e0d\u76f8\u7b49)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u68c0\u9a8c\u7684 p \u503c (0.0280) \u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4f7f\u7528\u8bad\u7ec3\u8ba1\u5212\u4e4b\u524d\u548c\u4e4b\u540e\u7684\u5e73\u5747\u8df3\u8dc3\u9ad8\u5ea6\u5e76\u4e0d\u76f8\u7b49\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u5728\u7ebf\u8ba1\u7b97\u5668\u81ea\u52a8\u6267\u884c\u5404\u79cd t \u68c0\u9a8c\uff1a<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/cn\/t-\u68c0\u9a8c\u8ba1\u7b97\u5668\u793a\u4f8b\/\" target=\"_blank\" rel=\"noopener\">t \u68c0\u9a8c\u8ba1\u7b97\u5668\u7684\u793a\u4f8b<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/ta-\u6d4b\u8bd5\u8ba1\u7b97\u5668-\u4e24\u4e2a\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u6837\u672c t \u68c0\u9a8c\u8ba1\u7b97\u5668<\/a><br \/> <a href=\"https:\/\/statorials.org\/cn\/\u914d\u5bf9\u6837\u672c-t-\u68c0\u9a8c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u8ba1\u7b97\u5668<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5047\u8bbe\u68c0\u9a8c\u662f\u4e00\u79cd\u6b63\u5f0f\u7684\u7edf\u8ba1\u68c0\u9a8c\uff0c\u6211\u4eec\u7528\u5b83\u6765\u62d2\u7edd\u6216\u672a\u80fd\u62d2\u7edd\u7edf\u8ba1\u5047\u8bbe\u3002 \u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u4ee5\u4e0b\u5047 [&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-3244","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\u5047\u8bbe\u68c0\u9a8c\uff08\u9644\u793a\u4f8b\uff09 - 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\u5047\u8bbe\u68c0\u9a8c\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-\u5047\u8bbe\u68c0\u9a8c\/\" \/>\n<meta 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