{"id":2506,"date":"2013-04-30T12:11:35","date_gmt":"2013-04-30T03:11:35","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=2506"},"modified":"2017-04-27T12:58:39","modified_gmt":"2017-04-27T03:58:39","slug":"post-2506","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=2506","title":{"rendered":"\u03c72\u4e57\u691c\u5b9a\uff0cFisher\u6b63\u78ba\u78ba\u7387\u691c\u5b9a\uff0cStudent t\u691c\u5b9a\u304a\u3088\u3073log-rank\u691c\u5b9a\u306b\u304a\u3044\u3066\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p>\u3000\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u8a08\u7b97\u306f\u91cd\u8981\u3067\u3059\uff0e\u591a\u304f\u306e\u7814\u7a76\u8005\u306b\u3068\u3063\u3066\u7d71\u8a08\u7684\u6709\u610f\u5dee\u304c\u51fa\u306a\u304b\u3063\u305f\u5834\u5408\u306b\uff0c\u305d\u308c\u304c\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u4e0d\u8db3\u304c\u539f\u56e0\u306b\u3088\u308b\u3082\u306e\u304b\u3069\u3046\u304b\u306e\u5224\u65ad\u304c\u3067\u304d\u306a\u3044\u304b\u3089\u3067\u3059\uff0e\u5168\u3066\u306e\u691c\u5b9a\u3092\u7db2\u7f85\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u304c\uff0c\u91cd\u8981\u3068\u601d\u308f\u308c\u308b\u4e3b\u306a\u691c\u5b9a\u306b\u304a\u3044\u3066\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8ff0\u3079\u307e\u3059\uff0e<\/p>\n<h3>\u03c7<sup>2<\/sup>\u691c\u5b9a<\/h3>\n<p>\u3000\u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u3068\u5bfe\u7167\u7fa4\u3068\u306e2\u7fa4\u9593\u3067\u6709\u52b9\u7387\u30fb\u751f\u5b58\u7387\u3092\u6bd4\u8f03\u3059\u308b\u306b\u306f\u03c72\u4e57\u691c\u5b9a\u3092\u884c\u3044\u307e\u3059\u304c\uff0c\u305d\u306e\u969b\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u7b97\u51fa\u306b\u306f\u4e0b\u8a18\u306e\u5f0f\u3092\u7528\u3044\u307e\u3059\uff0e&alpha; = 0.05 \uff08\u4e21\u5074\uff09, 1 &#8211; &beta; = 0.8 \uff08\u7247\u5074\uff09\u3068\u3059\u308b\u3068 Z<sub>&alpha;\/2<\/sub> = 1.96, Z<sub>&beta;<\/sub>\u00a0= 0.84 \u3068\u3057\u3066\u8a08\u7b97\u3057\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_0+%3D+%5Cfrac%7B%5Cleft%28Z_%7B%5Calpha%2F2%7D%5Csqrt%7B%281%2B%5Cphi%29%5Cbar%7Bp%7D%281+-+%5Cbar%7Bp%7D%29%7D+%2B+Z_%5Cbeta%5Csqrt%7B%5Cphi+p_0%281+-+p_0%29+%2B+p_1%281+-+p_1%29%7D%5Cright%29%5E2%7D%7B%5Cphi%5Cdelta%5E2%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_0 = \\frac{\\left(Z_{\\alpha\/2}\\sqrt{(1+\\phi)\\bar{p}(1 - \\bar{p})} + Z_\\beta\\sqrt{\\phi p_0(1 - p_0) + p_1(1 - p_1)}\\right)^2}{\\phi\\delta^2}' title='\\displaystyle N_0 = \\frac{\\left(Z_{\\alpha\/2}\\sqrt{(1+\\phi)\\bar{p}(1 - \\bar{p})} + Z_\\beta\\sqrt{\\phi p_0(1 - p_0) + p_1(1 - p_1)}\\right)^2}{\\phi\\delta^2}' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_1+%3D+%5Cphi+N_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_1 = \\phi N_0' title='\\displaystyle N_1 = \\phi N_0' class='latex' \/><\/p>\n<\/p>\n<p>\u3000\u52b9\u679c\u91cf &delta; \u304c\u30aa\u30c3\u30ba\u6bd4\u3067\u8868\u73fe\u3067\u304d\u308b\u5834\u5408\uff0c\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f\u4e0b\u5f0f\u3067\u6c42\u307e\u308a\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_0+%3D+%5Cleft%28%5Cfrac%7B1+%2B+%5Cphi%7D%7B%5Cphi%7D%5Cright%29%5Cfrac%7B%28Z_%7B%5Calpha%2F2%7D+%2B+Z_%5Cbeta%29%5E2%7D%7B%28%5Clog%7BOR%7D%29%5E2%5Cbar%7Bp%7D%281+-+%5Cbar%7Bp%7D%29%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_0 = \\left(\\frac{1 + \\phi}{\\phi}\\right)\\frac{(Z_{\\alpha\/2} + Z_\\beta)^2}{(\\log{OR})^2\\bar{p}(1 - \\bar{p})}' title='\\displaystyle N_0 = \\left(\\frac{1 + \\phi}{\\phi}\\right)\\frac{(Z_{\\alpha\/2} + Z_\\beta)^2}{(\\log{OR})^2\\bar{p}(1 - \\bar{p})}' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_1+%3D+%5Cphi+N_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_1 = \\phi N_0' title='\\displaystyle N_1 = \\phi N_0' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_0' title='\\displaystyle N_0' class='latex' \/> : \u5bfe\u7167\u7fa4\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_1' title='\\displaystyle N_1' class='latex' \/> : \u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+n_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle n_0' title='\\displaystyle n_0' class='latex' \/> : \u5bfe\u7167\u7fa4\u306e\u5b9f\u969b\u306e\u75c7\u4f8b\u6570<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+n_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle n_1' title='\\displaystyle n_1' class='latex' \/> : \u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u306e\u5b9f\u969b\u306e\u75c7\u4f8b\u6570<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cphi+%3D+%5Cfrac%7Bn_1%7D%7Bn_0%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\phi = \\frac{n_1}{n_0}' title='\\displaystyle \\phi = \\frac{n_1}{n_0}' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+p_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle p_0' title='\\displaystyle p_0' class='latex' \/> : \u5bfe\u7167\u7fa4\u306e\u6709\u52b9\u7387\u30fb\u751f\u5b58\u7387<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+p_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle p_1' title='\\displaystyle p_1' class='latex' \/> : \u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u306e\u6709\u52b9\u7387\u30fb\u751f\u5b58\u7387<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cdelta+%3D+p_1+-+p_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\delta = p_1 - p_0' title='\\displaystyle \\delta = p_1 - p_0' class='latex' \/> : \u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u3068\u5bfe\u7167\u7fa4\u3068\u306e\u6709\u52b9\u7387\u30fb\u751f\u5b58\u7387\u306e\u5dee<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cbar%7Bp%7D+%3D+%5Cfrac%7Bp_0+%2B+%5Cphi+p_1%7D%7B1+%2B+%5Cphi%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\bar{p} = \\frac{p_0 + \\phi p_1}{1 + \\phi}' title='\\displaystyle \\bar{p} = \\frac{p_0 + \\phi p_1}{1 + \\phi}' class='latex' \/><\/p>\n<\/p>\n<h3>Yates\u88dc\u6b63\u306b\u3088\u308b &chi;<sup>2<\/sup> \u691c\u5b9a\u3068 Fisher \u6b63\u78ba\u78ba\u7387\u691c\u5b9a<\/h3>\n<p>\u3000Yates \u88dc\u6b63\u3084 Fisher \u6b63\u78ba\u78ba\u7387\u691c\u5b9a\u306e\u969b\u306b\u306f N<sub>0<\/sub> \u306b\u88dc\u6b63\u9805 C \u3092\u4e57\u3058\u3066\u88dc\u6b63\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\uff0e\u30ea\u30f3\u30af\u3057\u305f\u66f8\u7c4d\u306b\u306f\u5e73\u65b9\u6839\u5185\u306e\u9805\u306b 1 \u3092\u52a0\u7b97\u3057\u3066\u3044\u307e\u3059\u304c\uff0c\u68ee\u5be6\u654f\u592b\u306e\u6559\u79d1\u66f8\u306b\u306f\u52a0\u7b97\u3057\u3066\u3044\u307e\u305b\u3093\uff0e\u3057\u304b\u3057\u30a6\u30a7\u30d6\u4e0a\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u8a08\u7b97\u306e\u6570\u5f0f\u306f\u5408\u3063\u3066\u3044\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+C+%3D+%5Cfrac%7B1%7D%7B4%7D%5Cleft%281+%2B+%5Csqrt%7B1+%2B+%5Cfrac%7B2+%281+%2B+%5Cphi%29%7D%7B%5Cphi+N_0+%7C%5Cdelta%7C%7D%7D%5Cright%29%5E2&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle C = \\frac{1}{4}\\left(1 + \\sqrt{1 + \\frac{2 (1 + \\phi)}{\\phi N_0 |\\delta|}}\\right)^2' title='\\displaystyle C = \\frac{1}{4}\\left(1 + \\sqrt{1 + \\frac{2 (1 + \\phi)}{\\phi N_0 |\\delta|}}\\right)^2' class='latex' \/><\/p>\n<\/p>\n<h3>Student t \u691c\u5b9a<\/h3>\n<p>\u3000\u5bfe\u7167\u7fa4\u306e\u5e73\u5747\u5024 &mu;<sub>0<\/sub> \u304a\u3088\u3073\u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u306e\u5e73\u5747\u5024 &mu;<sub>1<\/sub> \u304b\u3089\u52b9\u679c\u91cf &Delta; \u3092\u8a08\u7b97\u3057\uff0c\u305d\u3053\u304b\u3089\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u6c42\u3081\u307e\u3059\uff0e\u3053\u306e\u5834\u5408\uff0c\u5bfe\u7167\u7fa4\u3068\u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u3068\u3067\u306f\u5206\u6563\u304c\u7b49\u3057\u3044\u3068\u4eee\u5b9a\u3057\u3066\u3044\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5CDelta+%3D+%5Cfrac%7B%7C%5Cmu_0+-+%5Cmu_1%7C%7D%7B%5Csigma%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\Delta = \\frac{|\\mu_0 - \\mu_1|}{\\sigma}' title='\\displaystyle \\Delta = \\frac{|\\mu_0 - \\mu_1|}{\\sigma}' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_0+%3D+%5Cleft%28%5Cfrac%7B1+%2B+%5Cphi%7D%7B%5Cphi%7D%5Cright%29%5Cfrac%7B%28Z_%7B%5Calpha%2F2%7D+%2B+Z_%7B%5Cbeta%7D%29%5E2%7D%7B%5CDelta%5E2%7D+%2B+%5Cfrac%7BZ_%7B%5Calpha%2F2%7D%5E2%7D%7B2%281+%2B+%5Cphi%29%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_0 = \\left(\\frac{1 + \\phi}{\\phi}\\right)\\frac{(Z_{\\alpha\/2} + Z_{\\beta})^2}{\\Delta^2} + \\frac{Z_{\\alpha\/2}^2}{2(1 + \\phi)}' title='\\displaystyle N_0 = \\left(\\frac{1 + \\phi}{\\phi}\\right)\\frac{(Z_{\\alpha\/2} + Z_{\\beta})^2}{\\Delta^2} + \\frac{Z_{\\alpha\/2}^2}{2(1 + \\phi)}' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_1+%3D+%5Cphi+N_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_1 = \\phi N_0' title='\\displaystyle N_1 = \\phi N_0' class='latex' \/><\/p>\n<\/p>\n<p><iframe loading=\"lazy\" width=\"320\" height=\"240\" style=\"width: 120px; height: 240px;\" src=\"\/\/rcm-jp.amazon.co.jp\/e\/cm?lt1=_blank&amp;bc1=000000&amp;IS2=1&amp;bg1=FFFFFF&amp;fc1=000000&amp;lc1=0000FF&amp;t=fujiitoshiki-22&amp;o=9&amp;p=8&amp;l=as4&amp;m=amazon&amp;f=ifr&amp;ref=ss_til&amp;asins=4254126654\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><\/p>\n<h3>log-rank \u691c\u5b9a<\/h3>\n<p>\u3000log-rank \u691c\u5b9a\u306b\u304a\u3044\u3066\u5fc5\u8981\u306a\u30a4\u30d9\u30f3\u30c8\u6570 e \u304a\u3088\u3073\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba N \u306f Freedman \u306e\u65b9\u6cd5\u3067\u4e0b\u5f0f\u306b\u3066\u6c42\u307e\u308a\u307e\u3059\uff0ep<sub>0<\/sub> \u304a\u3088\u3073 p<sub>1<\/sub> \u306f\u5148\u884c\u7814\u7a76\u3084\u8a66\u9a13\u958b\u59cb\u5f8c 1\uff0d2 \u5e74\u3067\u306e\u7d2f\u7a4d\u751f\u5b58\u7387\u3067\u3059\uff0e&phi; = 1 \u306e\u5834\u5408\uff0c<a href=\"\/\/fujiitoshiki.com\/improvesociety\/?p=2150\" target=\"_blank\">COX\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u306elog-rank\u691c\u5b9a\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u56db\u5206\u8868\u304b\u3089\u8a08\u7b97\u3059\u308b<\/a>\u3067\u8aac\u660e\u3057\u305f\u6570\u5f0f\u3068\u540c\u3058\u7d50\u679c\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n<p>\u3000\u68ee\u5be6\u654f\u592b\u306e\u6559\u79d1\u66f8\u306e\u8a18\u8f09\u306b\u306f\u8aa4\u308a\u304c\u3042\u308a\u307e\u3059\uff0e\u30a4\u30d9\u30f3\u30c8\u6570 e \u3092\u6c42\u3081\u308b\u5f0f\u306e\u5206\u6bcd\u306b\u304a\u3044\u3066\uff0cFreedman \u306e\u539f\u8457\u3067\u306f &phi; \u306f\u62ec\u5f27\u306e\u5916\u306b\u3042\u308a\u307e\u3059\u304c\uff0c\u68ee\u5be6\u654f\u592b\u306e\u6559\u79d1\u66f8\u306e\u8a18\u8f09\u3067\u306f\u62ec\u5f27\u5185\u306b\u3042\u308a\u307e\u3059\uff0e\u30a6\u30a7\u30d6\u4e0a\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u8a08\u7b97\u306e\u6570\u5f0f\u306f\u5408\u3063\u3066\u3044\u307e\u3059\uff0e\u53c2\u8003\u6587\u732e\u306e Freedman \u306e\u539f\u8457\u306f\u6709\u6599\u3067\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Ctheta+%3D+%5Cfrac%7B%5Clog%28p_1%29%7D%7B%5Clog%28p_0%29%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\theta = \\frac{\\log(p_1)}{\\log(p_0)}' title='\\displaystyle \\theta = \\frac{\\log(p_1)}{\\log(p_0)}' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+e_0+%3D+%5Cfrac%7B1%7D%7B%281+%2B+%5Cphi%29%5Cphi%7D%5Cleft%28%5Cfrac%7B1+%2B+%5Cphi%5Ctheta%7D%7B1+-+%5Ctheta%7D%5Cright%29%5E2%28Z_%7B%5Calpha%2F2%7D+%2B+Z_%5Cbeta%29%5E2&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle e_0 = \\frac{1}{(1 + \\phi)\\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2(Z_{\\alpha\/2} + Z_\\beta)^2' title='\\displaystyle e_0 = \\frac{1}{(1 + \\phi)\\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2(Z_{\\alpha\/2} + Z_\\beta)^2' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+e_1+%3D+%5Cphi+e_0+%3D+%5Cfrac%7B1%7D%7B1+%2B+%5Cphi%7D%5Cleft%28%5Cfrac%7B1+%2B+%5Cphi%5Ctheta%7D%7B1+-+%5Ctheta%7D%5Cright%29%5E2%28Z_%7B%5Calpha%2F2%7D+%2B+Z_%5Cbeta%29%5E2&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle e_1 = \\phi e_0 = \\frac{1}{1 + \\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2(Z_{\\alpha\/2} + Z_\\beta)^2' title='\\displaystyle e_1 = \\phi e_0 = \\frac{1}{1 + \\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2(Z_{\\alpha\/2} + Z_\\beta)^2' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+e+%3D+e_0+%2B+e_1+%3D+%5Cfrac%7B1%7D%7B%5Cphi%7D%5Cleft%28%5Cfrac%7B1+%2B+%5Cphi%5Ctheta%7D%7B1+-+%5Ctheta%7D%5Cright%29%5E2%28Z_%7B%5Calpha%2F2%7D+%2B+Z_%5Cbeta%29%5E2&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle e = e_0 + e_1 = \\frac{1}{\\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2(Z_{\\alpha\/2} + Z_\\beta)^2' title='\\displaystyle e = e_0 + e_1 = \\frac{1}{\\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2(Z_{\\alpha\/2} + Z_\\beta)^2' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_0+%3D+%5Cfrac%7Be%7D%7B%281+-+p_0%29+%2B+%5Cphi%281+-+p_1%29%7D+%3D+%5Cfrac%7B1%7D%7B%5Cphi%7D%5Cleft%28%5Cfrac%7B1+%2B+%5Cphi%5Ctheta%7D%7B1+-+%5Ctheta%7D%5Cright%29%5E2%5Cfrac%7B%28Z_%7B%5Calpha%2F2%7D+%2B+Z_%5Cbeta%29%5E2%7D%7B%281+-+p_0%29+%2B+%5Cphi%281+-+p_1%29%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_0 = \\frac{e}{(1 - p_0) + \\phi(1 - p_1)} = \\frac{1}{\\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2\\frac{(Z_{\\alpha\/2} + Z_\\beta)^2}{(1 - p_0) + \\phi(1 - p_1)}' title='\\displaystyle N_0 = \\frac{e}{(1 - p_0) + \\phi(1 - p_1)} = \\frac{1}{\\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2\\frac{(Z_{\\alpha\/2} + Z_\\beta)^2}{(1 - p_0) + \\phi(1 - p_1)}' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_1+%3D+%5Cphi+N_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_1 = \\phi N_0' title='\\displaystyle N_1 = \\phi N_0' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N+%3D+N_0+%2B+N_1+%3D+%5Cfrac%7B1+%2B+%5Cphi%7D%7B%5Cphi%7D%5Cleft%28%5Cfrac%7B1+%2B+%5Cphi%5Ctheta%7D%7B1+-+%5Ctheta%7D%5Cright%29%5E2%5Cfrac%7B%28Z_%7B%5Calpha%2F2%7D+%2B+Z_%5Cbeta%29%5E2%7D%7B%281+-+p_0%29+%2B+%5Cphi%281+-+p_1%29%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N = N_0 + N_1 = \\frac{1 + \\phi}{\\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2\\frac{(Z_{\\alpha\/2} + Z_\\beta)^2}{(1 - p_0) + \\phi(1 - p_1)}' title='\\displaystyle N = N_0 + N_1 = \\frac{1 + \\phi}{\\phi}\\left(\\frac{1 + \\phi\\theta}{1 - \\theta}\\right)^2\\frac{(Z_{\\alpha\/2} + Z_\\beta)^2}{(1 - p_0) + \\phi(1 - p_1)}' class='latex' \/><\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_0' title='\\displaystyle N_0' class='latex' \/> : \u5bfe\u7167\u7fa4\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+N_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle N_1' title='\\displaystyle N_1' class='latex' \/> : \u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+n_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle n_0' title='\\displaystyle n_0' class='latex' \/> : \u5bfe\u7167\u7fa4\u306e\u5b9f\u969b\u306e\u75c7\u4f8b\u6570<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+n_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle n_1' title='\\displaystyle n_1' class='latex' \/> : \u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u306e\u5b9f\u969b\u306e\u75c7\u4f8b\u6570<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cphi+%3D+%5Cfrac%7Bn_1%7D%7Bn_0%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\phi = \\frac{n_1}{n_0}' title='\\displaystyle \\phi = \\frac{n_1}{n_0}' class='latex' \/> : \u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u306e\u75c7\u4f8b\u6570\u3068\u5bfe\u7167\u7fa4\u306e\u75c7\u4f8b\u6570\u3068\u306e\u6bd4<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+p_0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle p_0' title='\\displaystyle p_0' class='latex' \/> : \u5bfe\u7167\u7fa4\u306e\u6709\u52b9\u7387\u30fb\u751f\u5b58\u7387<\/p>\n<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+p_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle p_1' title='\\displaystyle p_1' class='latex' \/> : \u30ea\u30b9\u30af\u7fa4\u30fb\u4ecb\u5165\u7fa4\u306e\u6709\u52b9\u7387\u30fb\u751f\u5b58\u7387<\/p>\n<\/p>\n<p>\u53c2\u8003\u6587\u732e\uff1a<br \/> <a title=\"TABLES OF THE NUMBER OF PATIENTS REQUIRED IN CLINICAL TRIALS USING THE LOG RANK TEST\" href=\"\/\/onlinelibrary.wiley.com\/doi\/10.1002\/sim.4780010204\/abstract\" target=\"_blank\">TABLES OF THE NUMBER OF PATIENTS REQUIRED IN CLINICAL TRIALS USING THE LOG RANK TEST<\/a><\/p>\n<p><iframe src=\"\/\/rcm-jp.amazon.co.jp\/e\/cm?lt1=_blank&#038;bc1=000000&#038;IS2=1&#038;bg1=FFFFFF&#038;fc1=000000&#038;lc1=0000FF&#038;t=fujiitoshiki-22&#038;o=9&#038;p=8&#038;l=as4&#038;m=amazon&#038;f=ifr&#038;ref=ss_til&#038;asins=B005UQD1AK\" style=\"width:120px;height:240px;\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><iframe loading=\"lazy\" width=\"320\" height=\"240\" style=\"width: 120px; height: 240px;\" src=\"\/\/rcm-jp.amazon.co.jp\/e\/cm?lt1=_blank&amp;bc1=000000&amp;IS2=1&amp;bg1=FFFFFF&amp;fc1=000000&amp;lc1=0000FF&amp;t=fujiitoshiki-22&amp;o=9&amp;p=8&amp;l=as4&amp;m=amazon&amp;f=ifr&amp;ref=ss_til&amp;asins=4489006810\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><iframe loading=\"lazy\" width=\"320\" height=\"240\" style=\"width: 120px; height: 240px;\" src=\"\/\/rcm-jp.amazon.co.jp\/e\/cm?lt1=_blank&amp;bc1=000000&amp;IS2=1&amp;bg1=FFFFFF&amp;fc1=000000&amp;lc1=0000FF&amp;t=fujiitoshiki-22&amp;o=9&amp;p=8&amp;l=as4&amp;m=amazon&amp;f=ifr&amp;ref=ss_til&amp;asins=4254127553\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u3000\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u8a08\u7b97\u306f\u91cd\u8981\u3067\u3059\uff0e\u591a\u304f\u306e\u7814\u7a76\u8005\u306b\u3068\u3063\u3066\u7d71\u8a08\u7684\u6709\u610f\u5dee\u304c\u51fa\u306a\u304b\u3063\u305f\u5834\u5408\u306b\uff0c\u305d\u308c\u304c\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u4e0d\u8db3\u304c\u539f\u56e0\u306b\u3088\u308b\u3082\u306e\u304b\u3069\u3046\u304b\u306e\u5224\u65ad\u304c\u3067\u304d\u306a\u3044\u304b\u3089\u3067\u3059\uff0e\u5168\u3066\u306e\u691c\u5b9a\u3092\u7db2\u7f85\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u304c\uff0c\u91cd\u8981\u3068\u601d\u308f\u308c\u308b &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=2506\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u03c72\u4e57\u691c\u5b9a\uff0cFisher\u6b63\u78ba\u78ba\u7387\u691c\u5b9a\uff0cStudent t\u691c\u5b9a\u304a\u3088\u3073log-rank\u691c\u5b9a\u306b\u304a\u3044\u3066\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[7],"tags":[],"class_list":["post-2506","post","type-post","status-publish","format-standard","hentry","category-statistics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/2506","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2506"}],"version-history":[{"count":252,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/2506\/revisions"}],"predecessor-version":[{"id":7719,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/2506\/revisions\/7719"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}