{"id":524,"date":"2018-08-04T21:48:07","date_gmt":"2018-08-04T12:48:07","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-determine-sample-size-in-cox-proportional-hazard-model\/"},"modified":"2025-09-02T16:28:41","modified_gmt":"2025-09-02T07:28:41","slug":"how-to-determine-sample-size-in-cox-proportional-hazard-model","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-determine-sample-size-in-cox-proportional-hazard-model\/","title":{"rendered":"R \u3068 EZR \u3067\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092\u884c\u3046\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u65b9\u6cd5<\/p>\n\n\n\n<p>Cox \u306e\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u3092\u4f7f\u3046\u524d\u63d0\u306e\u8a08\u7b97<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97-\u305d\u306e-1\">\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97 \u305d\u306e 1<\/h2>\n\n\n\n<p>R \u3067\u30b9\u30af\u30ea\u30d7\u30c8\u3092\u66f8\u3044\u3066\u307f\u305f\u3002<\/p>\n\n\n\n<p>S0\u304c\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u3001S1\u304c\u6cbb\u7642\u7fa4\u3001\u305d\u308c\u305e\u308c\u306e\u751f\u5b58\u7387\u3002<\/p>\n\n\n\n<p>d\u304c\u3001\u4e21\u7fa4\u5408\u308f\u305b\u3066\u5408\u8a08\u306e\u6b7b\u4ea1\u8005\u6570\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sample.size.cox &lt;- function(S1,S0,alternative=\"two.sided\",power=.8,\n                            sig.level=.05){\n  alternative &lt;- match.arg(alternative)\n  tside &lt;- switch(alternative, one.sided=1, two.sided=2)\n  beta &lt;- log(log(S1)\/log(S0))\n  Za &lt;- qnorm(sig.level\/tside, lower.tail=FALSE)\n  Zb &lt;- qnorm(power)\n  d &lt;- ((Za+Zb)*(1+exp(beta))\/(1-exp(beta)))^2\n  NOTE &lt;- \"d is total number of death in *both* of groups\"\n  METHOD &lt;- \"Sample Size Calculation of Cox Propotional Hazard Model\"\n  structure(\n    list(\"Total number of death\" = d,\n         \"Surv. rate of trt. arm\" = S1,\n         \"Surv. rate of ctl. arm\" = S0,\n         \"Hazard ratio\" = exp(beta),\n         sig.level = sig.level,\n         power = power,\n         alternative = alternative,\n         note = NOTE,\n         method = METHOD),\n    class = \"power.htest\")\n}\n<\/code><\/pre>\n\n\n\n<p>\u6cbb\u7642\u7fa4\u306e\u751f\u5b58\u7387\u304c0.6\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u306e\u751f\u5b58\u7387\u304c0.5\u306e\u3068\u304d\u3001\u4e21\u7fa4\u5408\u308f\u305b\u3066\u6b7b\u4ea1\u8005\u6570\u304c343\u4f8b\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&gt; sample.size.cox(S1=0.6, S0=0.5)\n\n     Sample Size Calculation of Cox Propotional Hazard Model \n\n Total number of death = 342.267\nSurv. rate of trt. arm = 0.6\nSurv. rate of ctl. arm = 0.5\n          Hazard ratio = 0.7369656\n             sig.level = 0.05\n                 power = 0.8\n           alternative = two.sided\n\nNOTE: d is total number of death in *both* of groups<\/code><\/pre>\n\n\n\n<p>\u6700\u8fd1\u306e\u6297\u304c\u3093\u5264\u306f\u5bff\u547d\u5ef6\u9577\u304c\u671f\u5f85\u3067\u304d\u308b\u3082\u306e\u3082\u51fa\u3066\u304d\u305f\u306e\u3067\u3001\u4f8b\u3048\u30705\u5e74\u3067S1=0.8\u3001S0=0.3\u3068\u3044\u3046\u3088\u3046\u306b\u3001\u4e2d\u592e\u5024\u306b\u5c4a\u304b\u306a\u3044\u30a2\u30fc\u30e0\u3082\u5b58\u5728\u3059\u308b\u3002<\/p>\n\n\n\n<p>0.8 vs 0.3\u3068\u306a\u308b\u3068\u3001\u6b7b\u4ea1\u75c7\u4f8b\u6570\u306f17\u4f8b\u3067\u6e08\u307f\u3001\u30cf\u30b6\u30fc\u30c9\u6bd4\u306f0.19\u3068\u3044\u3046\u6975\u3081\u3066\u4f4e\u3044\u5024\u304c\u60f3\u5b9a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&gt; sample.size.cox(S1=0.8, S0=0.3)\n\n     Sample Size Calculation of Cox Propotional Hazard Model \n\n Total number of death = 16.6165\nSurv. rate of trt. arm = 0.8\nSurv. rate of ctl. arm = 0.3\n          Hazard ratio = 0.1853394\n             sig.level = 0.05\n                 power = 0.8\n           alternative = two.sided\n\nNOTE: d is total number of death in *both* of groups<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97-\u305d\u306e-2\">\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97 \u305d\u306e 2<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"R-\u3092\u4f7f\u3063\u3066\u81ea\u524d\u3067\u30b9\u30af\u30ea\u30d7\u30c8\u306b\u8d77\u3053\u3057\u305f\u95a2\u6570\u3092\u4f7f\u3046\u65b9\u6cd5\">R \u3092\u4f7f\u3063\u3066\u81ea\u524d\u3067\u30b9\u30af\u30ea\u30d7\u30c8\u306b\u8d77\u3053\u3057\u305f\u95a2\u6570\u3092\u4f7f\u3046\u65b9\u6cd5<\/h3>\n\n\n\n<p>Freedman\u306e\u65b9\u6cd5\u3068Schoenfeld\u306e\u65b9\u6cd5\u3002<\/p>\n\n\n\n<p>\u3053\u3061\u3089\u306f\u89b3\u5bdf\u671f\u9593\u3092\u8a2d\u5b9a\u3057\u3066\u30cf\u30b6\u30fc\u30c9\u3092\u8a08\u7b97\u3057\u3066\u304f\u308c\u308b\u30b9\u30af\u30ea\u30d7\u30c8\u3060\u304c\u3001\u30cf\u30b6\u30fc\u30c9\u6bd4\u306f\u89b3\u5bdf\u671f\u9593\u304c\u7570\u306a\u3063\u3066\u3082\u540c\u3058\u3067\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3082\u540c\u3058\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u306e\u300c\u6bd4\u4f8b\u300d\u306e\u7531\u6765\u901a\u308a\u3001\u89b3\u5bdf\u671f\u9593\u306b\u304b\u304b\u308f\u3089\u305a\u6bd4\u4f8b\u95a2\u4fc2\u304c\u4e00\u5b9a\u3067\u3001\u89b3\u5bdf\u671f\u9593\u304c\u5909\u308f\u3063\u3066\u3082\u3001\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f\u5909\u308f\u3089\u306a\u3044\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>t: \u89b3\u5bdf\u671f\u9593\uff08\u5e74\uff09<\/li>\n\n\n\n<li>S1 \u3068 S0: \u6cbb\u7642\u7fa4\u3068\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u306e\u751f\u5b58\u7387<\/li>\n\n\n\n<li>dF: Freedman\u306e\u65b9\u6cd5\u306b\u3088\u308b\u5404\u7fa4\u5fc5\u8981\u306a\u6b7b\u4ea1\u75c7\u4f8b\u6570<\/li>\n\n\n\n<li>dS: Schoenfeld\u306e\u65b9\u6cd5\u306b\u3088\u308b\u5404\u7fa4\u5fc5\u8981\u306a\u6b7b\u4ea1\u75c7\u4f8b\u6570<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>sample.size.cox &lt;- function(t,S1,S0,alternative=\"two.sided\",power=.8,\n                            sig.level=.05){\n  alternative &lt;- match.arg(alternative)\n  tside &lt;- switch(alternative, one.sided=1, two.sided=2)\n  beta &lt;- log(log(S1)\/log(S0))\n  H1 &lt;- -1*log(S1)\/t\n  H0 &lt;- -1*log(S0)\/t\n  HR &lt;- H1\/H0\n  Za &lt;- qnorm(sig.level\/tside, lower.tail=FALSE)\n  Zb &lt;- qnorm(power)\n  dF &lt;- (Za+Zb)^2*(HR+1)^2\/(2*(HR-1)^2)\n  nF &lt;- dF\/(((1-S1)+(1-S0))\/2)\n  dS &lt;- 2*(Za+Zb)^2\/((log(HR))^2)\n  nS &lt;- dS\/(((1-S1)+(1-S0))\/2)\n  NOTE &lt;- \"n is number in *each* group\"\n  METHOD &lt;- \"Sample Size Calculation of Cox Propotional Hazard Model\"\n  structure(\n    list(\n      \"Death (Freedman)\" = dF,\n      \"Number (Freedman)\" = nF,\n      \"Death (Schoenfeld)\" = dS,\n      \"Number(Schoenfeld)\" = nS,\n      \"Survival trt\" = S1,\n      \"Survival ctl\" = S0,\n      \"Hazard trt\" = H1,\n      \"Hazard ctl\" = H0,\n      \"Hazard ratio\" = HR,\n      \"Follow up(y)\" = t,\n      sig.level = sig.level,\n      power = power,\n      alternative = alternative,\n      note = NOTE,\n      method = METHOD),\n    class = \"power.htest\")\n}\n<\/code><\/pre>\n\n\n\n<p>5\u5e74\u306e\u89b3\u5bdf\u671f\u9593\u3067\u3001\u6cbb\u7642\u7fa4\u304c\u751f\u5b58\u73870.8\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u304c\u751f\u5b58\u73870.65\u3068\u60f3\u5b9a\u3059\u308b\u3068\u3001\u5fc5\u8981\u6b7b\u4ea1\u75c7\u4f8b\u6570\u306f\u3001Freedman\u306e\u65b9\u6cd5\u3067\u540439\u4f8b\u3001Schoenfeld\u306e\u65b9\u6cd5\u3067\u540437\u4f8b\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u5168\u4f53\u306e\u5fc5\u8981\u75c7\u4f8b\u6570\u306fFreedman\u3067\u5404142\u4f8b\u3001Schoenfeld\u3067\u5404132\u4f8b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&gt; sample.size.cox(t=5, S1=0.8, S0=0.65)\n\n     Sample Size Calculation of Cox Propotional Hazard Model \n\n  Death (Freedman) = 38.92388\n Number (Freedman) = 141.5414\nDeath (Schoenfeld) = 36.27976\nNumber(Schoenfeld) = 131.9264\n      Survival trt = 0.8\n      Survival ctl = 0.65\n        Hazard trt = 0.04462871\n        Hazard ctl = 0.08615658\n      Hazard ratio = 0.5179954\n      Follow up(y) = 5\n         sig.level = 0.05\n             power = 0.8\n       alternative = two.sided\n\nNOTE: n is number in *each* group<\/code><\/pre>\n\n\n\n<p>\u6cbb\u7642\u7fa40.6\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa40.5\u3067\u8a08\u7b97\u3059\u308b\u3068\u3001\u89b3\u5bdf\u671f\u9593\u304c1\u5e74\u3067\u30825\u5e74\u3067\u3082\u540c\u69d8\u3067\u3001<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Freedman\u3067\u306f\u6b7b\u4ea1\u75c7\u4f8b\u306f\u5404\u7fa4172\u4f8b\u3001\u5168\u4f53\u75c7\u4f8b\u306f\u5404\u7fa4381\u4f8b\u5fc5\u8981\u3001<\/li>\n\n\n\n<li>Schoenfeld\u3067\u306f\u6b7b\u4ea1\u75c7\u4f8b\u306f\u5404\u7fa4169\u4f8b\u3001\u5168\u4f53\u75c7\u4f8b\u306f\u5404\u7fa4375\u4f8b\u5fc5\u8981<\/li>\n<\/ul>\n\n\n\n<p>\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&gt; sample.size.cox(t=1, S1=0.6, S0=0.5)\n\n     Sample Size Calculation of Cox Propotional Hazard Model \n\n  Death (Freedman) = 171.1335\n Number (Freedman) = 380.2966\nDeath (Schoenfeld) = 168.5111\nNumber(Schoenfeld) = 374.4692\n      Survival trt = 0.6\n      Survival ctl = 0.5\n        Hazard trt = 0.5108256\n        Hazard ctl = 0.6931472\n      Hazard ratio = 0.7369656\n      Follow up(y) = 1\n         sig.level = 0.05\n             power = 0.8\n       alternative = two.sided\n\nNOTE: n is number in *each* group\n<\/code><\/pre>\n\n\n\n<p>5\u5e74\u89b3\u5bdf\u3067\u3001\u6cbb\u7642\u7fa4\u304c0.8\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u304c0.3\u306e\u5834\u5408\u3001Freedman\u3068Schoenfeld\u306e\u65b9\u6cd5\u3067\u3001\u305d\u308c\u305e\u308c\u5404\u7fa4\u6b7b\u4ea1\u75c7\u4f8b\u306f9\u4f8b\u30016\u4f8b\u3001\u5168\u4f53\u75c7\u4f8b\u306f\u5404\u7fa4\u300119\u4f8b\u300113\u4f8b\u3001\u304c\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&gt; sample.size.cox(t=5, S1=0.8, S0=0.3)\n\n     Sample Size Calculation of Cox Propotional Hazard Model \n\n  Death (Freedman) = 8.308251\n Number (Freedman) = 18.46278\nDeath (Schoenfeld) = 5.525171\nNumber(Schoenfeld) = 12.27816\n      Survival trt = 0.8\n      Survival ctl = 0.3\n        Hazard trt = 0.04462871\n        Hazard ctl = 0.2407946\n      Hazard ratio = 0.1853394\n      Follow up(y) = 5\n         sig.level = 0.05\n             power = 0.8\n       alternative = two.sided\n\nNOTE: n is number in *each* group\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"EZR-\u3092\u4f7f\u3063\u305f\u65b9\u6cd5\">EZR \u3092\u4f7f\u3063\u305f\u65b9\u6cd5<\/h3>\n\n\n\n<p>5\u5e74\u306e\u89b3\u5bdf\u671f\u9593\u3067\u3001\u6cbb\u7642\u7fa4\u304c\u751f\u5b58\u73870.8\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u304c\u751f\u5b58\u73870.65\u306e\u6761\u4ef6\u3067\u3001EZR\u3092\u4f7f\u3063\u3066\u8a08\u7b97\u3057\u3066\u307f\u308b\u3068\u3001Freedman\u5f0f\u3068\u540c\u3058141\u4f8b\u3068\u8a08\u7b97\u3055\u308c\u305f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"554\" height=\"382\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205613-1.png\" alt=\"\" class=\"wp-image-2859\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205613-1.png 554w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205613-1-300x207.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n<p>\u89b3\u5bdf\u7814\u7a76\u306e\u30a4\u30e1\u30fc\u30b8\u3067\u3001\u767b\u9332\u306f\u540c\u6642\u306b\u884c\u308f\u308c\u308b\u3053\u3068\u3092\u60f3\u5b9a\u3057\u3066\u3001\u767b\u9332\u671f\u9593\u306f\u30bc\u30ed\u3068\u3057\u305f\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">SampleHazard<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">5<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">5<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.65<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.80<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">2<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)<\/span>\n\u4eee\u5b9a\nP1                              <span class=\"synConstant\">0.8<\/span>\nP2                             <span class=\"synConstant\">0.65<\/span>\nP1\u3001P2\u306e\u89b3\u5bdf\u671f\u9593                  <span class=\"synConstant\">5<\/span>\n\u767b\u9332\u671f\u9593                          <span class=\"synConstant\">0<\/span>\n\u5168\u7814\u7a76\u671f\u9593                        <span class=\"synConstant\">5<\/span>\n\u03b1\u30a8\u30e9\u30fc                       <span class=\"synConstant\">0.05<\/span>\n\u4e21\u5074\u691c\u5b9a\n\u691c\u51fa\u529b                          <span class=\"synConstant\">0.8<\/span>\nN2\u3068N1\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u6bd4        <span class=\"synConstant\">1<\/span>\n\u5fc5\u8981\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba         \u8a08\u7b97\u7d50\u679c\nN1                              <span class=\"synConstant\">141<\/span>\nN2                              <span class=\"synConstant\">141<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u6cbb\u7642\u7fa40.6\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa40.5\u3001\u89b3\u5bdf\u671f\u95935\u5e74\u3067\u3001EZR\u3067\u540c\u69d8\u306b\u8a08\u7b97\u3057\u3066\u307f\u305f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"554\" height=\"382\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205718.png\" alt=\"\" class=\"wp-image-2861\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205718.png 554w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205718-300x207.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n<p>\u4e0a\u8a18\u306eFreedman\u5f0f\u306e\u7d50\u679c\u3068\u540c\u69d8\u306b\u4e00\u7fa4380\u4f8b\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u305f\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">SampleHazard<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">5<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">5<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.6<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.80<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">2<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)<\/span>\n\u4eee\u5b9a\nP1                              <span class=\"synConstant\">0.6<\/span>\nP2                              <span class=\"synConstant\">0.5<\/span>\nP1\u3001P2\u306e\u89b3\u5bdf\u671f\u9593                  <span class=\"synConstant\">5<\/span>\n\u767b\u9332\u671f\u9593                          <span class=\"synConstant\">0<\/span>\n\u5168\u7814\u7a76\u671f\u9593                        <span class=\"synConstant\">5<\/span>\n\u03b1\u30a8\u30e9\u30fc                       <span class=\"synConstant\">0.05<\/span>\n\u4e21\u5074\u691c\u5b9a\n\u691c\u51fa\u529b                          <span class=\"synConstant\">0.8<\/span>\nN2\u3068N1\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u6bd4        <span class=\"synConstant\">1<\/span>\n\u5fc5\u8981\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba         \u8a08\u7b97\u7d50\u679c\nN1                              <span class=\"synConstant\">380<\/span>\nN2                              <span class=\"synConstant\">380<\/span>\n<\/code><\/pre>\n\n\n\n<p>1\u5e74\u306b\u3057\u3066\u3082\u540c\u3058\u7d50\u679c\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u305f\u3060\u3057\u30011\u5e74\u89b3\u5bdf\u671f\u9593\u3068\u3057\u3066\u30011\u5e74\u751f\u5b58\u7387\u3068\u8aad\u307f\u66ff\u3048\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"554\" height=\"382\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205747.png\" alt=\"\" class=\"wp-image-2862\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205747.png 554w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205747-300x207.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">SampleHazard<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">1<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">1<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.6<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.80<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">2<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)<\/span>\n\u4eee\u5b9a\nP1                              <span class=\"synConstant\">0.6<\/span>\nP2                              <span class=\"synConstant\">0.5<\/span>\nP1\u3001P2\u306e\u89b3\u5bdf\u671f\u9593                  <span class=\"synConstant\">1<\/span>\n\u767b\u9332\u671f\u9593                          <span class=\"synConstant\">0<\/span>\n\u5168\u7814\u7a76\u671f\u9593                        <span class=\"synConstant\">1<\/span>\n\u03b1\u30a8\u30e9\u30fc                       <span class=\"synConstant\">0.05<\/span>\n\u4e21\u5074\u691c\u5b9a\n\u691c\u51fa\u529b                          <span class=\"synConstant\">0.8<\/span>\nN2\u3068N1\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u6bd4        <span class=\"synConstant\">1<\/span>\n\u5fc5\u8981\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba         \u8a08\u7b97\u7d50\u679c\nN1                              <span class=\"synConstant\">380<\/span>\nN2                              <span class=\"synConstant\">380<\/span>\n<\/code><\/pre>\n\n\n\n<p>5\u5e74\u89b3\u5bdf\u3067\u3001\u6cbb\u7642\u7fa4\u304c0.8\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u304c0.3\u306e\u5834\u5408\u3001EZR\u3067\u8a08\u7b97\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u901a\u308a\u4e00\u7fa418\u4f8b\u3068\u8a08\u7b97\u3055\u308c\u305f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"554\" height=\"382\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205508-1.png\" alt=\"\" class=\"wp-image-2860\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205508-1.png 554w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-10-13-205508-1-300x207.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">SampleHazard<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">5<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">5<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.3<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">0.80<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">2<\/span><span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)<\/span>\n\u4eee\u5b9a\nP1                              <span class=\"synConstant\">0.8<\/span>\nP2                              <span class=\"synConstant\">0.3<\/span>\nP1\u3001P2\u306e\u89b3\u5bdf\u671f\u9593                  <span class=\"synConstant\">5<\/span>\n\u767b\u9332\u671f\u9593                          <span class=\"synConstant\">0<\/span>\n\u5168\u7814\u7a76\u671f\u9593                        <span class=\"synConstant\">5<\/span>\n\u03b1\u30a8\u30e9\u30fc                       <span class=\"synConstant\">0.05<\/span>\n\u4e21\u5074\u691c\u5b9a\n\u691c\u51fa\u529b                          <span class=\"synConstant\">0.8<\/span>\nN2\u3068N1\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u6bd4        <span class=\"synConstant\">1<\/span>\n\u5fc5\u8981\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba         \u8a08\u7b97\u7d50\u679c\nN1                               <span class=\"synConstant\">18<\/span>\nN2                               <span class=\"synConstant\">18<\/span>\n<\/code><\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">\u767b\u9332\u671f\u9593\u3092\u8003\u616e\u3057\u305f\u3088\u308a\u9069\u5207\u306a\u65b9\u6cd5<\/h4>\n\n\n\n<p>\u5f8c\u308d\u5411\u304d\u306e\u89b3\u5bdf\u7814\u7a76\u3067\u3042\u3063\u3066\u3082\u3001\u767b\u9332\u671f\u9593\u306f\u8a2d\u5b9a\u3067\u304d\u308b\u3057\u3001\u8a66\u9a13\u671f\u9593\u3082\u9069\u5207\u306b\u8a2d\u5b9a\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u767b\u9332\u671f\u9593\u306f\u3001\u5168\u5bfe\u8c61\u8005\u306e\u89b3\u5bdf\u958b\u59cb\u65e5\u3092\u53e4\u3044\u75c7\u4f8b\u304b\u3089\u65b0\u3057\u3044\u75c7\u4f8b\u307e\u3067\u4e26\u3079\u66ff\u3048\u3066\u3001\u3082\u3063\u3068\u3082\u53e4\u304f\u767b\u9332\u3055\u308c\u305f\u75c7\u4f8b\u306e\u65e5\u4ed8\u304b\u3089\u3082\u3063\u3068\u3082\u65b0\u3057\u304f\u767b\u9332\u3055\u308c\u305f\u75c7\u4f8b\u306e\u65e5\u4ed8\u307e\u3067\u3092\u4f7f\u3048\u3070\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u8a66\u9a13\u671f\u9593\u306f\u3001\u767b\u9332\u958b\u59cb\u304b\u3089\u3001\u6700\u5f8c\u306e\u767b\u9332\u75c7\u4f8b\u306e\u89b3\u5bdf\u7d42\u4e86\u307e\u3067\u306e\u671f\u9593\u3067\u3042\u308b\u3002\u767b\u9332\u671f\u9593\u304c\u9577\u3051\u308c\u3070\u3001\u767b\u9332\u5f8c\u306e\u89b3\u5bdf\u671f\u9593\u304c\u77ed\u304f\u306a\u308a\u3001\u305d\u306e\u5206\u75c7\u4f8b\u306f\u591a\u304f\u5fc5\u8981\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u4e0a\u8a18\u306e\uff15\u5e74\u9593\u306e\u89b3\u5bdf\u671f\u9593\u3067\u3001\u6cbb\u7642\u7fa4\u304c\u751f\u5b58\u7387 0.8 \u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u304c\u751f\u5b58\u7387 0.65 \u3068\u540c\u3058\u6761\u4ef6\u3067\u3001\u767b\u9332\u671f\u9593\u3092 2 \u5e74\u9593\u3068\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"451\" height=\"344\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/image-3.png\" alt=\"\" class=\"wp-image-4425\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/image-3.png 451w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/08\/image-3-300x229.png 300w\" sizes=\"(max-width: 451px) 100vw, 451px\" \/><\/figure>\n\n\n\n<p>\u767b\u9332\u671f\u9593 0 \u5e74\u3068\u3057\u305f\u5834\u5408\u306f\u3001\u4e00\u7fa4 141 \u4f8b\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u305f\u304c\u3001\u767b\u9332\u671f\u9593\u3092 2 \u5e74\u9593\u3068\u3059\u308b\u3068\u3001\u4e00\u7fa4 171 \u4f8b\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> SampleHazard(2, 5, 5, 0.8, 0.65, 0.05, 0.80, 2, 1)\n                               \u4eee\u5b9a\nP1                              0.8\nP2                             0.65\nP1\u3001P2\u306e\u89b3\u5bdf\u671f\u9593                  5\n\u767b\u9332\u671f\u9593                          2\n\u5168\u7814\u7a76\u671f\u9593                        5\n\u03b1\u30a8\u30e9\u30fc                       0.05\n                           \u4e21\u5074\u691c\u5b9a\n\u691c\u51fa\u529b                          0.8\nN2\u3068N1\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u6bd4        1\n                                   \n\u5fc5\u8981\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba         \u8a08\u7b97\u7d50\u679c\nN1                              171\nN2                              171<\/code><\/pre>\n\n\n\n<p>\u767b\u9332\u671f\u9593 0 \u3067\u3044\u304d\u306a\u308a\u5168\u75c7\u4f8b\u304c\u767b\u9332\u3055\u308c\u308b\u3053\u3068\u306f\u306a\u3044\u305f\u3081\u3001\u73fe\u5b9f\u7684\u306b\u306f\u3001\u3053\u306e\u3088\u3046\u306b\u767b\u9332\u671f\u9593\u3092\u9069\u5207\u306b\u8003\u616e\u3057\u305f\u898b\u7a4d\u3082\u308a\u306e\u307b\u3046\u304c\u3088\u3044\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"R-\u306e\u30d1\u30c3\u30b1\u30fc\u30b8-powerSurvEpi-\u3092\u4f7f\u3063\u305f\u5834\u5408\">R \u306e\u30d1\u30c3\u30b1\u30fc\u30b8 powerSurvEpi \u3092\u4f7f\u3063\u305f\u5834\u5408<\/h3>\n\n\n\n<p>\u307e\u305a R\u306b powerSurvEpi \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synIdentifier\">install.packages<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"powerSurvEpi\"<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u4f7f\u3046\u3068\u304d\u306f library() \u3067\u547c\u3073\u51fa\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><span class=\"synPreProc\">library<\/span><span class=\"synSpecial\">(<\/span>powerSurvEpi<span class=\"synSpecial\">)<\/span>\n<\/pre>\n\n\n\n<p>ssizeCT.default() \u3068\u3044\u3046\u95a2\u6570\u3092\u4f7f\u3046\u3002\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306b\u5fc5\u8981\u306a\u6570\u5024\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>power : \u691c\u51fa\u529b<\/li>\n\n\n\n<li>k : \u5b9f\u9a13\u7fa4\uff08\u65b0\u85ac\u7fa4\u3001\u5b9f\u85ac\u7fa4\u306a\u3069\uff09\u3068\u5bfe\u7167\u7fa4\uff08\u5f93\u6765\u85ac\u7fa4\u3001\u30d7\u30e9\u30bb\u30dc\u7fa4\u306a\u3069\uff09\u306e\u6bd4<\/li>\n\n\n\n<li>pE : \u5b9f\u9a13\u7fa4\u306e\u30a4\u30d9\u30f3\u30c8\u767a\u751f\u5272\u5408<\/li>\n\n\n\n<li>pC : \u5bfe\u7167\u7fa4\u306e\u30a4\u30d9\u30f3\u30c8\u767a\u751f\u5272\u5408<\/li>\n\n\n\n<li>RR : \u30cf\u30b6\u30fc\u30c9\u6bd4<\/li>\n\n\n\n<li>alpha : \u6709\u610f\u6c34\u6e96\uff08\u6307\u5b9a\u3057\u306a\u3051\u308c\u30700.05\uff09<\/li>\n<\/ul>\n\n\n\n<p>\u6cbb\u7642\u7fa4\u304c\u751f\u5b58\u73870.8\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u304c\u751f\u5b58\u73870.65\u306e\u3068\u304d\u3001pE=1-0.8=0.2\u3001pC=1-0.65=0.35\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u30cf\u30b6\u30fc\u30c9\u6bd4\u306f\u3001log(0.8)\/log(0.65)\u3067\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u6642\u4e00\u7fa4142\u4f8b\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>Freedman\u5f0f\u306b\u3088\u308b\u8a08\u7b97\u3060\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">ssizeCT.default<\/span><span class=\"synSpecial\">(<\/span>power<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">,<\/span> k<span class=\"synStatement\">=<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">,<\/span> pE<span class=\"synStatement\">=<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span><span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">,<\/span> pC<span class=\"synStatement\">=<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span><span class=\"synConstant\">0.65<\/span><span class=\"synSpecial\">,<\/span> RR<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">log<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synIdentifier\">log<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0.65<\/span><span class=\"synSpecial\">))<\/span>\nnE  nC\n<span class=\"synConstant\">142<\/span> <span class=\"synConstant\">142<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u6cbb\u7642\u7fa40.6\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa40.5\u306e\u5834\u5408\u306f\u3001pE=1-0.6=0.4, pC=1-0.5=0.5, RR=log(0.6)\/log(0.5)\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u6642\u4e00\u7fa4381\u4f8b\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">ssizeCT.default<\/span><span class=\"synSpecial\">(<\/span>power<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">,<\/span> k<span class=\"synStatement\">=<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">,<\/span> pE<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.4<\/span><span class=\"synSpecial\">,<\/span> pC<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> RR<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">log<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0.6<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synIdentifier\">log<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">))<\/span>\nnE  nC\n<span class=\"synConstant\">381<\/span> <span class=\"synConstant\">381<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u6cbb\u7642\u7fa4\u304c0.8\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u304c0.3\u306e\u5834\u5408\u306f\u3001pE=1-0.8=0.2, pC=1-0.3=0.7, RR=log(0.8)\/log(0.3)\u3068\u306a\u308a\u3001\u4e00\u7fa419\u4f8b\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">ssizeCT.default<\/span><span class=\"synSpecial\">(<\/span>power<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">,<\/span> k<span class=\"synStatement\">=<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">,<\/span> pE<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.2<\/span><span class=\"synSpecial\">,<\/span> pC<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.7<\/span><span class=\"synSpecial\">,<\/span> RR<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">log<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synIdentifier\">log<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">0.3<\/span><span class=\"synSpecial\">))<\/span>\nnE nC\n<span class=\"synConstant\">19<\/span> <span class=\"synConstant\">19<\/span>\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"Freedman-\u5f0f\u304b-Schoenfeld-\u5f0f\u304b\">Freedman \u5f0f\u304b Schoenfeld \u5f0f\u304b<\/h3>\n\n\n\n<p>Freedman\u306b\u6bd4\u3079\u3066\u3001Schoenfeld\u306e\u307b\u3046\u304c\u3001\u5c0f\u3055\u3044\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3088\u3044\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u5c0f\u3055\u3044\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u6e08\u3080\u306a\u3089\u305d\u308c\u306b\u8d8a\u3057\u305f\u3053\u3068\u306f\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u502b\u7406\u7684\u306b\u6700\u5c0f\u4eba\u6570\u304c\u9069\u5207\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001Schoenfeld\u306e\u5f0f\u306f\u3001\u5fc5\u8981\u306a\u30a4\u30d9\u30f3\u30c8\u6570\u3092\u904e\u5c0f\u8a55\u4fa1\u3057\u3066\u3044\u308b\u3068\u6307\u6458\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u3001\u6bd4\u8f03\u7684\u591a\u304f\u306e\u75c7\u4f8b\u3092\u96c6\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3042\u308c\u3070\u3001Freedman\u5f0f\u306e\u8a08\u7b97\u7d50\u679c\u3092\u304a\u52e7\u3081\u3059\u308b\u3002<\/p>\n\n\n\n<div id=\"biost-283804178\" class=\"biost- biost-entity-placement\"><p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><a href=\"https:\/\/best-biostatistics.com\/kmhl\">\uff1e\uff1e\u3082\u3046\u7d71\u8a08\u3067\u60a9\u3080\u306e\u306f\u7d42\u308f\u308a\u306b\u3057\u307e\u305b\u3093\u304b\uff1f\u00a0<\/a><\/strong><\/span><\/p>\r\n<a href=\"https:\/\/best-biostatistics.com\/kmhl\"><img class=\"aligncenter wp-image-2794 size-full\" src=\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\" alt=\"\" width=\"500\" height=\"327\" \/><\/a>\r\n<p style=\"text-align: center;\"><span style=\"color: #ff0000; font-size: 20px;\"><strong><span class=\"marker2\">\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div><h2 class=\"wp-block-heading\" id=\"\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092\u30a8\u30af\u30bb\u30eb\u3067\">\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092\u30a8\u30af\u30bb\u30eb\u3067<\/h2>\n\n\n\n<p>\u3088\u3051\u308c\u3070\u4ee5\u4e0b\u304b\u3089\u3069\u3046\u305e\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/happyhappygk.base.ec\/items\/26107287\">\u30b3\u30c3\u30af\u30b9\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u306e\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3010\u30a8\u30af\u30bb\u30eb\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3011Cox proportional hazard model sample size calculator | TKER SHOP<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u89e3\u8aac\u52d5\u753b\u30b3\u30c3\u30af\u30b9\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\">\u3010\u89e3\u8aac\u52d5\u753b\u3011\u30b3\u30c3\u30af\u30b9\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97<\/h2>\n\n\n\n<p>\u30a8\u30af\u30bb\u30eb\u30d5\u30a1\u30a4\u30eb\u306e\u4f7f\u3044\u65b9\u52d5\u753b\u3092\u516c\u958b\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3088\u304b\u3063\u305f\u3089\u3069\u3046\u305e\u3002<\/p>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/iO9HgrgoiaE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"allowfullscreen\" title=\"\u30b3\u30c3\u30af\u30b9\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3010\u30a8\u30af\u30bb\u30eb\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3011\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/iO9HgrgoiaE\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u89e3\u8aac\u52d5\u753bEZR\u3067Cox\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\">\u3010\u89e3\u8aac\u52d5\u753b\u3011EZR\u3067Cox\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97<\/h2>\n\n\n\n<p>EZR\u3067\u306f\u3001\u767b\u9332\u671f\u9593\u3092\u8003\u616e\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u3061\u3089\u3082\u3088\u3051\u308c\u3070\u3002<\/p>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/r-6d9Rv4csY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"allowfullscreen\" title=\"EZR\u3067Cox\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3010\u7121\u6599\u7d71\u8a08\u30bd\u30d5\u30c8EZR\u3067\u7c21\u5358\u7d71\u8a08\u3011\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/r-6d9Rv4csY\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092 Cox \u306e\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u3092\u524d\u63d0\u306b\u884c\u3046\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u53c2\u8003\u306b\u306a\u308c\u3070\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u53c2\u8003\u66f8\u7c4d\">\u53c2\u8003\u66f8\u7c4d<\/h2>\n\n\n\n<p><a href=\"https:\/\/amzn.to\/4gi8NI6\" data-type=\"link\" data-id=\"https:\/\/amzn.to\/4gi8NI6\">\u533b\u5b66\u7d71\u8a08\u5b66\u30b7\u30ea\u30fc\u30ba3\u3000Cox\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u3000\u4e2d\u6751 \u525b \u8457\u3000\u671d\u5009\u66f8\u5e97<\/a><br>3.8 \u5fc5\u8981sample size\u306e\u8a08\u7b97\u6cd5<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u53c2\u8003\u6587\u732e\">\u53c2\u8003\u6587\u732e<\/h2>\n\n\n\n<p><a href=\"https:\/\/jglobal.jst.go.jp\/detail?JGLOBAL_ID=200902256431068750\" data-type=\"link\" data-id=\"https:\/\/jglobal.jst.go.jp\/detail?JGLOBAL_ID=200902256431068750\">\u751f\u5b58\u6642\u9593\u89e3\u6790\u306b\u304a\u3051\u308b\u75c7\u4f8b\u6570\u8a2d\u8a08<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/jglobal.jst.go.jp\/detail?JGLOBAL_ID=201602284969962415\" data-type=\"link\" data-id=\"https:\/\/jglobal.jst.go.jp\/detail?JGLOBAL_ID=201602284969962415\">SAS\u30d7\u30ed\u30b7\u30b8\u30e3\u3092\u7528\u3044\u305f\u751f\u5b58\u6642\u9593\u30c7\u30fc\u30bf\u306b\u5bfe\u3059\u308b\u4f8b\u6570\u8a2d\u8a08\u306e\u5909\u9769<\/a>\uff08<a href=\"https:\/\/www.sas.com\/content\/dam\/SAS\/ja_jp\/doc\/event\/sas-user-groups\/usergroups2016-d-11.pdf\" data-type=\"link\" data-id=\"https:\/\/www.sas.com\/content\/dam\/SAS\/ja_jp\/doc\/event\/sas-user-groups\/usergroups2016-d-11.pdf\">PDF<\/a>\uff09<\/p>\n\n\n\n<p><a href=\"https:\/\/academic.oup.com\/biomet\/article-abstract\/68\/1\/316\/237782?login=false\" data-type=\"link\" data-id=\"https:\/\/academic.oup.com\/biomet\/article-abstract\/68\/1\/316\/237782?login=false\">The asymptotic properties of nonparametric tests for comparing survival distributions<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/abs\/10.1002\/sim.4780010204\" data-type=\"link\" data-id=\"https:\/\/onlinelibrary.wiley.com\/doi\/abs\/10.1002\/sim.4780010204\">Tables of the number of patients required in clinical trials using the logrank test<\/a><\/p>\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u65b9\u6cd5 Cox \u306e\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u3092\u4f7f\u3046\u524d\u63d0\u306e\u8a08\u7b97<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[4,5,30,21,16],"tags":[],"class_list":["post-524","post","type-post","status-publish","format-standard","hentry","category-ezr","category-r","category-30","category-21","category-16"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/524","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/comments?post=524"}],"version-history":[{"count":6,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/524\/revisions"}],"predecessor-version":[{"id":4426,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/524\/revisions\/4426"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=524"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=524"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=524"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}