{"id":4203,"date":"2025-07-11T23:26:50","date_gmt":"2025-07-11T14:26:50","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/?p=4203"},"modified":"2025-07-11T23:26:52","modified_gmt":"2025-07-11T14:26:52","slug":"understanding-bootstrap-confidence-intervals-for-optimal-cutoff-values-in-roc-curves","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/understanding-bootstrap-confidence-intervals-for-optimal-cutoff-values-in-roc-curves\/","title":{"rendered":"ROC\u66f2\u7dda\u306b\u304a\u3051\u308b\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593\u3092\u7406\u89e3\u3059\u308b"},"content":{"rendered":"\n<p>\u533b\u7642\u8a3a\u65ad\u3001\u6a5f\u68b0\u5b66\u7fd2\u306e\u5206\u985e\u554f\u984c\u306a\u3069\u3001\u591a\u304f\u306e\u5206\u91ce\u3067ROC\u66f2\u7dda\u306f\u30e2\u30c7\u30eb\u306e\u6027\u80fd\u8a55\u4fa1\u306b\u4e0d\u53ef\u6b20\u306a\u30c4\u30fc\u30eb\u3060\u3002\u3057\u304b\u3057\u3001ROC\u66f2\u7dda\u304b\u3089\u300c\u6700\u9069\u306a\u300d\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u3060\u3051\u3067\u306f\u4e0d\u5341\u5206\u306a\u5834\u5408\u304c\u3042\u308b\u3002\u305d\u306e\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u304c\u3069\u306e\u7a0b\u5ea6\u4fe1\u983c\u3067\u304d\u308b\u306e\u304b\u3001\u3059\u306a\u308f\u3061\u3001\u7570\u306a\u308b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u3082\u540c\u69d8\u306e\u6027\u80fd\u3092\u767a\u63ee\u3059\u308b\u306e\u304b\u3092\u77e5\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u91cd\u8981\u3060\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001ROC\u66f2\u7dda\u306e\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u4fe1\u983c\u6027\u3092\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306e\u5f37\u529b\u306a\u7d71\u8a08\u7684\u624b\u6cd5\u3067\u3042\u308b\u300c<strong>\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593<\/strong>\u300d\u306b\u7126\u70b9\u3092\u5f53\u3066\u308b\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u6982\u8981<\/h2>\n\n\n\n<p>ROC (Receiver Operating Characteristic) \u66f2\u7dda\u306f\u3001\u4e8c\u5024\u5206\u985e\u30e2\u30c7\u30eb\u306e\u8b58\u5225\u80fd\u529b\u3092\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306e\u30b0\u30e9\u30d5\u3067\u3042\u308b\u3002\u3053\u306e\u66f2\u7dda\u306f\u3001\u69d8\u3005\u306a\u95be\u5024\uff08\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\uff09\u306b\u304a\u3051\u308b<strong>\u771f\u967d\u6027\u7387<\/strong> (\u611f\u5ea6) \u3068<strong>\u507d\u967d\u6027\u7387<\/strong> (1-\u7279\u7570\u5ea6) \u306e\u95a2\u4fc2\u3092\u793a\u3059\u3002\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306f\u3001\u30bf\u30b9\u30af\u3084\u76ee\u7684\u306b\u5fdc\u3058\u3066\u3001Youden\u6307\u6570\uff08\u611f\u5ea6\uff0b\u7279\u7570\u5ea6\uff0d1\uff09\u3001\u539f\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u3001\u611f\u5ea6\u3068\u7279\u7570\u5ea6\u306e\u30d0\u30e9\u30f3\u30b9\u306a\u3069\u3001\u69d8\u3005\u306a\u57fa\u6e96\u306b\u57fa\u3065\u3044\u3066\u6c7a\u5b9a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001\u3053\u306e\u300c\u6700\u9069\u306a\u300d\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306f\u3001\u6211\u3005\u304c\u73fe\u5728\u6301\u3063\u3066\u3044\u308b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5f37\u304f\u4f9d\u5b58\u3057\u3066\u3044\u308b\u3002\u3082\u3057\u5225\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u3042\u308c\u3070\u3001\u7570\u306a\u308b\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u304c\u6700\u9069\u3068\u306a\u308b\u53ef\u80fd\u6027\u3082\u5341\u5206\u306b\u3042\u308a\u5f97\u308b\u3002\u3053\u3053\u3067\u91cd\u8981\u306b\u306a\u308b\u306e\u304c\u3001\u7d71\u8a08\u7684\u63a8\u6e2c\u3060\u3002<strong>\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u6cd5<\/strong>\u306f\u3001\u5143\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b\u7e70\u308a\u8fd4\u3057\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u884c\u3046\u3053\u3068\u3067\u3001\u6a19\u672c\u5206\u5e03\u3092\u63a8\u5b9a\u3057\u3001\u305d\u3053\u304b\u3089\u4fe1\u983c\u533a\u9593\u3092\u69cb\u7bc9\u3059\u308b\u975e\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u306a\u624b\u6cd5\u3067\u3042\u308b\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5358\u4e00\u306e\u70b9\u63a8\u5b9a\u5024\uff08\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\uff09\u3060\u3051\u3067\u306a\u304f\u3001\u305d\u306e\u5024\u304c\u3069\u306e\u7bc4\u56f2\u3067\u5909\u52d5\u3057\u3046\u308b\u306e\u304b\u3092\u793a\u3059\u4fe1\u983c\u533a\u9593\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>ROC\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30e1\u30ea\u30c3\u30c8\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u9811\u5065\u6027\u306e\u8a55\u4fa1:<\/strong> \u63a8\u5b9a\u3055\u308c\u305f\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u304c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5909\u52d5\u306b\u5bfe\u3057\u3066\u3069\u306e\u7a0b\u5ea6\u5b89\u5b9a\u3057\u3066\u3044\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3002<\/li>\n\n\n\n<li><strong>\u610f\u601d\u6c7a\u5b9a\u306e\u652f\u63f4:<\/strong> \u8a3a\u65ad\u57fa\u6e96\u3084\u5206\u985e\u95be\u5024\u3092\u8a2d\u5b9a\u3059\u308b\u969b\u306b\u3001\u305d\u306e\u5024\u306e\u4e0d\u78ba\u5b9f\u6027\u3092\u8003\u616e\u306b\u5165\u308c\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/li>\n\n\n\n<li><strong>\u6bd4\u8f03\u53ef\u80fd\u6027\u306e\u5411\u4e0a:<\/strong> \u7570\u306a\u308b\u7814\u7a76\u3084\u30e2\u30c7\u30eb\u9593\u3067\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3092\u6bd4\u8f03\u3059\u308b\u969b\u306b\u3001\u4fe1\u983c\u533a\u9593\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u3067\u3088\u308a\u610f\u5473\u306e\u3042\u308b\u6bd4\u8f03\u304c\u53ef\u80fd\u306b\u306a\u308b\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u5177\u4f53\u4f8b\u3068 R \u306e\u8a08\u7b97\u4f8b<\/h2>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001\u67b6\u7a7a\u306e\u8a3a\u65ad\u30c6\u30b9\u30c8\u306e\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u3001R\u3067ROC\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u4f8b\u3092\u793a\u3059\u3002<\/p>\n\n\n\n<p><strong>\u30b7\u30ca\u30ea\u30aa:<\/strong> \u3042\u308b\u75be\u60a3\u306e\u8a3a\u65ad\u30c6\u30b9\u30c8\u304c\u3042\u308a\u3001\u305d\u306e\u7d50\u679c\uff08\u6570\u5024\uff09\u3068\u5b9f\u969b\u306e\u75be\u60a3\u306e\u6709\u7121\uff08\u967d\u6027\/\u9670\u6027\uff09\u306e\u30c7\u30fc\u30bf\u304c\u3042\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3002\u3053\u306e\u30c6\u30b9\u30c8\u306e\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3092\u7279\u5b9a\u3057\u3001\u305d\u306e\u4fe1\u983c\u533a\u9593\u3092\u63a8\u5b9a\u3057\u305f\u3044\u3002<\/p>\n\n\n\n<p><strong>\u30c7\u30fc\u30bf\u6e96\u5099\uff08\u4f8b\uff09:<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u30c7\u30fc\u30bf\u3092\u6e96\u5099\uff08\u67b6\u7a7a\u306e\u30c7\u30fc\u30bf\uff09\nset.seed(123)\ndata &lt;- data.frame(\n    test_score = round(c(rnorm(50, 60, 10), rnorm(50, 40, 10)), 1), # \u967d\u6027\u60a3\u8005\u306e\u30b9\u30b3\u30a2\u3068\u9670\u6027\u60a3\u8005\u306e\u30b9\u30b3\u30a2\n    disease = factor(c(rep(\"Positive\", 50), rep(\"Negative\", 50)), levels = c(\"Negative\", \"Positive\"))\n)\n\n# \u30c7\u30fc\u30bf\u306e\u78ba\u8a8d\nhead(data)\nsummary(data)<\/code><\/pre>\n\n\n\n<p><strong>R\u3067\u306e\u8a08\u7b97\u4f8b:<\/strong><\/p>\n\n\n\n<p>ROC\u66f2\u7dda\u306e\u5206\u6790\u3068\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u6c7a\u5b9a\u306b\u306f<code>pROC<\/code>\u30d1\u30c3\u30b1\u30fc\u30b8\u304c\u975e\u5e38\u306b\u4fbf\u5229\u3060\u3002\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593\u306e\u8a08\u7b97\u3082\u3053\u306e\u30d1\u30c3\u30b1\u30fc\u30b8\u3067\u30b5\u30dd\u30fc\u30c8\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u5fc5\u8981\u306a\u30d1\u30c3\u30b1\u30fc\u30b8\u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3068\u8aad\u307f\u8fbc\u307f\n# install.packages(\"pROC\")\nlibrary(pROC)\n\n# ROC\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u4f5c\u6210\nroc_obj &lt;- roc(data$disease, data$test_score)\n\n\n# \u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u6c7a\u5b9a\uff08\u3053\u3053\u3067\u306fYouden\u6307\u6570\u3092\u4f7f\u7528\uff09\n# Youden\u6307\u6570\uff08\u611f\u5ea6\uff0b\u7279\u7570\u5ea6-1\uff09\u3092\u6700\u5927\u5316\u3059\u308b\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3092\u63a2\u7d22\n# `coords`\u95a2\u6570\u3067\u6700\u9069\u306a\u95be\u5024\u3092\u6307\u5b9a\u3067\u304d\u308b\nbest_cutoff_youden &lt;- coords(roc_obj, \"best\",\n    ret = \"threshold\",\n    best.method = \"youden\"\n)\nprint(paste(\n    \"Youden\u6307\u6570\u306b\u57fa\u3065\u304f\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024:\",\n    round(best_cutoff_youden, 2)\n))\n\n# \u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593\u306e\u8a08\u7b97\n# `ci.thresholds`\u95a2\u6570\u3092\u4f7f\u7528\n# method = \"youden\" \u3067Youden\u6307\u6570\u306b\u57fa\u3065\u304f\u95be\u5024\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\n# boot.n = 2000 \u306f\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u306e\u7e70\u308a\u8fd4\u3057\u56de\u6570\u3060\uff08\u901a\u5e38\u306f1000\u56de\u4ee5\u4e0a\u304c\u63a8\u5968\u3055\u308c\u308b\uff09\n# `thresholds = \"best\"` \u3092\u6307\u5b9a\u3059\u308b\u3053\u3068\u3067\u3001\u6700\u9069\u306a\u95be\u5024\u306b\u5bfe\u3059\u308b\u4fe1\u983c\u533a\u9593\u304c\u5f97\u3089\u308c\u308b\nci_cutoff_youden_specific &lt;- ci.thresholds(roc_obj, method = \"youden\", boot.n = 2000, progress = \"none\", thresholds = \"best\")\n\n# \u7d50\u679c\u306e\u8868\u793a\nprint(\"Youden\u6307\u6570\u306b\u57fa\u3065\u304f\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593:\")\nprint(ci_cutoff_youden_specific)\n<\/code><\/pre>\n\n\n\n<p><strong>\u30b3\u30fc\u30c9\u306e\u89e3\u8aac:<\/strong><\/p>\n\n\n\n<ul start=\"1\" class=\"wp-block-list\">\n<li><strong><code>library(pROC)<\/code>:<\/strong> <code>pROC<\/code>\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u8aad\u307f\u8fbc\u3080\u3002<\/li>\n\n\n\n<li><strong><code>roc(data$disease, data$test_score)<\/code>:<\/strong> ROC\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u4f5c\u6210\u3059\u308b\u3002\u7b2c\u4e00\u5f15\u6570\u306b\u771f\u306e\u72b6\u614b\uff08\u967d\u6027\/\u9670\u6027\uff09\u3001\u7b2c\u4e8c\u5f15\u6570\u306b\u30c6\u30b9\u30c8\u30b9\u30b3\u30a2\u3092\u6307\u5b9a\u3059\u308b\u3002<\/li>\n\n\n\n<li><strong><code>coords(roc_obj, \"best\", ret = \"threshold\", best.method = \"youden\")<\/code>:<\/strong> ROC\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u304b\u3089\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3092\u62bd\u51fa\u3059\u308b\u3002\n<ul class=\"wp-block-list\">\n<li><code>\"best\"<\/code>: \u6700\u9069\u306a\u95be\u5024\u3092\u63a2\u7d22\u3059\u308b\u3053\u3068\u3092\u6307\u793a\u3059\u308b\u3002<\/li>\n\n\n\n<li><code>ret = \"threshold\"<\/code>: \u95be\u5024\u81ea\u4f53\u3092\u8fd4\u3059\u3002<\/li>\n\n\n\n<li><code>best.method = \"youden\"<\/code>: Youden\u6307\u6570\u3092\u6700\u5927\u5316\u3059\u308b\u65b9\u6cd5\u3067\u6700\u9069\u306a\u95be\u5024\u3092\u9078\u629e\u3059\u308b\u3002\u4ed6\u306b\u3082<code>\"closest.topleft\"<\/code>\uff08\u539f\u70b9\u304b\u3089\u306e\u8ddd\u96e2\uff09\u3084<code>\"sens+spec\"<\/code>\uff08\u611f\u5ea6\u3068\u7279\u7570\u5ea6\u306e\u548c\uff09\u306a\u3069\u304c\u3042\u308b\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong><code>ci.thresholds(roc_obj, method = \"youden\", boot.n = 2000)<\/code>:<\/strong> \u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u3002\n<ul class=\"wp-block-list\">\n<li><code>roc_obj<\/code>: ROC\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u6307\u5b9a\u3059\u308b\u3002<\/li>\n\n\n\n<li><code>method = \"youden\"<\/code>: \u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u6c7a\u5b9a\u65b9\u6cd5\u3068\u4e00\u81f4\u3055\u305b\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/li>\n\n\n\n<li><code>boot.n = 2000<\/code>: \u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u306e\u7e70\u308a\u8fd4\u3057\u56de\u6570\u3002\u3053\u306e\u6570\u304c\u591a\u3044\u307b\u3069\u3001\u4fe1\u983c\u533a\u9593\u306e\u63a8\u5b9a\u7cbe\u5ea6\u304c\u5411\u4e0a\u3059\u308b\u304c\u3001\u8a08\u7b97\u6642\u9593\u3082\u9577\u304f\u306a\u308b\u3002<\/li>\n\n\n\n<li><code>thresholds = \"best\"<\/code>\uff1a\u4e0a\u8a18 method \u3067\u6307\u5b9a\u3057\u305f\u6307\u6a19\uff08\u4eca\u56de\u306f youden\uff09\u3092\u6700\u5927\u5316\u3059\u308b\u300c\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u300d\u306e\u4fe1\u983c\u533a\u9593\u3092\u5f97\u305f\u3044\u5834\u5408\u3001\u6307\u5b9a\u3059\u308b<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u7d50\u679c\u89e3\u91c8<\/h3>\n\n\n\n<p>\u4e0a\u8a18\u306eR\u30b3\u30fc\u30c9\u3092\u5b9f\u884c\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u51fa\u529b\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> print(ci_cutoff_youden_specific)\n95% CI (2000 stratified bootstrap replicates):\n thresholds sp.low sp.median sp.high se.low se.median se.high\n      46.85   0.64      0.76    0.88   0.90      0.96    1.00\n      52.10   0.78      0.88    0.96   0.74      0.84    0.94<\/code><\/pre>\n\n\n\n<p>\u3053\u306e\u7d50\u679c\u306e\u89e3\u91c8\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u3001Youden\u6307\u6570\u3092\u6700\u5927\u5316\u3059\u308b<strong>\u6700\u9069\u306a\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306e\u5019\u88dc\u304c\u8907\u6570<\/strong>\uff082\u3064\uff09\u3042\u308a\u3001\u305d\u308c\u305e\u308c\u306e\u5019\u88dc\u306b\u304a\u3051\u308b<strong>\u611f\u5ea6 (sensitivity) \u3068\u7279\u7570\u5ea6 (specificity) \u306e\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593<\/strong>\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u3053\u308c\u306f\u3001ROC\u66f2\u7dda\u4e0a\u3067Youden\u6307\u6570\u304c\u6700\u5927\u3068\u306a\u308b\u70b9\u304c\u8907\u6570\u5b58\u5728\u3059\u308b\u30b1\u30fc\u30b9\u3067\u8d77\u3053\u308a\u5f97\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u7d50\u679c\u3092\u89e3\u91c8\u3057\u3001\u3069\u3061\u3089\u306e\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3092\u9078\u629e\u3059\u308b\u304b\u306f\u3001<strong>\u8a3a\u65ad\u30c6\u30b9\u30c8\u3084\u5206\u985e\u30e2\u30c7\u30eb\u306e\u76ee\u7684\u306b\u5fdc\u3058\u3066\u5224\u65ad\u3059\u308b<\/strong>\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5404\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u5019\u88dc\u306e\u5206\u6790<\/h4>\n\n\n\n<ul start=\"1\" class=\"wp-block-list\">\n<li><strong>\u30ab\u30c3\u30c8\u30aa\u30d5\u5024 <code>46.85<\/code> \u306e\u5834\u5408:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u611f\u5ea6 (sp)<\/strong>: \u4e2d\u592e\u5024\u306f <strong>0.76<\/strong> \u3067\u300195%\u4fe1\u983c\u533a\u9593\u306f <strong>[0.64, 0.88]<\/strong> \u3060\u3002\u3053\u308c\u306f\u3001\u75be\u60a3\u3092\u6301\u3064\u4eba\u306e\u3046\u3061\u3001\u3053\u306e\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3067\u300c\u967d\u6027\u300d\u3068\u6b63\u3057\u304f\u8a3a\u65ad\u3055\u308c\u308b\u5272\u5408\uff08\u898b\u9003\u3055\u306a\u3044\u5272\u5408\uff09\u304c\u3001\u771f\u306e\u5024\u3068\u3057\u30660.64\u304b\u30890.88\u306e\u9593\u306b\u3042\u308a\u3001\u6700\u3082\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u306e\u306f0.76\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u611f\u5ea6\u306e\u4fe1\u983c\u533a\u9593\u306e\u5e45\u306f\u6bd4\u8f03\u7684\u5e83\u3044\u3002<\/li>\n\n\n\n<li><strong>\u7279\u7570\u5ea6 (se)<\/strong>: \u4e2d\u592e\u5024\u306f <strong>0.96<\/strong> \u3067\u300195%\u4fe1\u983c\u533a\u9593\u306f <strong>[0.90, 1.00]<\/strong> \u3060\u3002\u3053\u308c\u306f\u3001\u75be\u60a3\u3092\u6301\u305f\u306a\u3044\u4eba\u306e\u3046\u3061\u3001\u3053\u306e\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3067\u300c\u9670\u6027\u300d\u3068\u6b63\u3057\u304f\u8a3a\u65ad\u3055\u308c\u308b\u5272\u5408\uff08\u8aa4\u3063\u3066\u967d\u6027\u3068\u8a3a\u65ad\u3055\u308c\u306a\u3044\u5272\u5408\uff09\u304c\u3001\u771f\u306e\u5024\u3068\u3057\u30660.90\u304b\u30891.00\u306e\u9593\u306b\u3042\u308a\u3001\u6700\u3082\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u306e\u306f0.96\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u7279\u7570\u5ea6\u304c\u975e\u5e38\u306b\u9ad8\u304f\u3001\u4fe1\u983c\u533a\u9593\u3082\u72ed\u304f\u3001\u507d\u967d\u6027\u304c\u975e\u5e38\u306b\u5c11\u306a\u3044\u3053\u3068\u304c\u671f\u5f85\u3067\u304d\u308b\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u30ab\u30c3\u30c8\u30aa\u30d5\u5024 <code>52.10<\/code> \u306e\u5834\u5408:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u611f\u5ea6 (sp)<\/strong>: \u4e2d\u592e\u5024\u306f <strong>0.88<\/strong> \u3067\u300195%\u4fe1\u983c\u533a\u9593\u306f <strong>[0.78, 0.96]<\/strong> \u3060\u3002\u3053\u306e\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u306f\u611f\u5ea6\u304c<strong>\u3088\u308a\u9ad8\u3044<\/strong>\uff08\u4e2d\u592e\u50240.88\uff09\u3002\u4fe1\u983c\u533a\u9593\u3082\u6bd4\u8f03\u7684\u72ed\u304f\u3001\u507d\u9670\u6027\u304c\u5c11\u306a\u3044\u3053\u3068\u304c\u671f\u5f85\u3067\u304d\u308b\u3002<\/li>\n\n\n\n<li><strong>\u7279\u7570\u5ea6 (se)<\/strong>: \u4e2d\u592e\u5024\u306f <strong>0.84<\/strong> \u3067\u300195%\u4fe1\u983c\u533a\u9593\u306f <strong>[0.74, 0.94]<\/strong> \u3060\u3002\u611f\u5ea6\u304c\u4e0a\u304c\u308b\u4e00\u65b9\u3067\u3001\u7279\u7570\u5ea6\u306f<code>46.85<\/code>\u306e\u5834\u5408\u3088\u308a<strong>\u4f4e\u3044<\/strong>\uff08\u4e2d\u592e\u50240.84\uff09\u3002\u507d\u967d\u6027\u304c\u5897\u3048\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\u610f\u601d\u6c7a\u5b9a\u306e\u6307\u91dd<\/h4>\n\n\n\n<p>\u3069\u3061\u3089\u306e\u30ab\u30c3\u30c8\u30aa\u30d5\u5024\u3082Youden\u6307\u6570\u306f\u6700\u5927\u3067\u3042\u308b\u305f\u3081\u3001\u30e2\u30c7\u30eb\u306e\u300c\u7dcf\u5408\u7684\u306a\u30d0\u30e9\u30f3\u30b9\u300d\u3068\u3057\u3066\u306f\u540c\u7b49\u3060\u3002\u3057\u304b\u3057\u3001\u305d\u308c\u305e\u308c\u306e\u611f\u5ea6\u3068\u7279\u7570\u5ea6\u306e\u5177\u4f53\u7684\u306a\u5024\u3068\u4fe1\u983c\u533a\u9593\u3001\u305d\u3057\u3066<strong>\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u76ee\u7684<\/strong>\u3092\u8003\u616e\u3057\u3066\u9078\u629e\u3059\u308b\u3053\u3068\u304c\u6975\u3081\u3066\u91cd\u8981\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u507d\u9670\u6027\u3092\u6975\u529b\u907f\u3051\u305f\u3044\u5834\u5408\uff08\u611f\u5ea6\u91cd\u8996\uff09:\u4f8b\u3048\u3070\u3001\u521d\u671f\u30b9\u30af\u30ea\u30fc\u30cb\u30f3\u30b0\u3084\u3001\u898b\u9003\u3057\u304c\u60a3\u8005\u306e\u751f\u547d\u306b\u76f4\u7d50\u3059\u308b\u3088\u3046\u306a\u91cd\u7be4\u306a\u75be\u60a3\u306e\u8a3a\u65ad\u3067\u306f\u3001\u611f\u5ea6\u304c\u9ad8\u3044 52.10 \u304c\u9069\u5207\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u3053\u306e\u5834\u5408\u3001\u591a\u5c11\u306e\u507d\u967d\u6027\uff08\u8aa4\u3063\u3066\u300c\u967d\u6027\u300d\u3068\u5224\u65ad\u3055\u308c\u308b\u30b1\u30fc\u30b9\uff09\u306f\u8a31\u5bb9\u3055\u308c\u308b\u3002<\/li>\n\n\n\n<li>\u507d\u967d\u6027\u3092\u6975\u529b\u907f\u3051\u305f\u3044\u5834\u5408\uff08\u7279\u7570\u5ea6\u91cd\u8996\uff09:\u4f8b\u3048\u3070\u3001\u8ffd\u52a0\u691c\u67fb\u304c\u9ad8\u984d\u3067\u3042\u3063\u305f\u308a\u3001\u4fb5\u8972\u7684\u3067\u3042\u3063\u305f\u308a\u3059\u308b\u5834\u5408\u3001\u3042\u308b\u3044\u306f\u4e0d\u5fc5\u8981\u306a\u6cbb\u7642\u3092\u907f\u3051\u305f\u3044\u5834\u5408\u306f\u3001\u7279\u7570\u5ea6\u304c\u9ad8\u3044 46.85 \u304c\u9069\u5207\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u3053\u306e\u5834\u5408\u3001\u591a\u5c11\u306e\u898b\u9003\u3057\uff08\u507d\u9670\u6027\uff09\u306f\u8a31\u5bb9\u3055\u308c\u308b\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u4fe1\u983c\u533a\u9593\u306f\u5358\u4e00\u306e\u300c\u6700\u9069\u306a\u300d\u5024\u3060\u3051\u3067\u306a\u304f\u3001\u305d\u306e<strong>\u4e0d\u78ba\u5b9f\u6027<\/strong>\u3068\u3001\u611f\u5ea6\u30fb\u7279\u7570\u5ea6\u306e<strong>\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5<\/strong>\u3092\u5177\u4f53\u7684\u306b\u793a\u3059\u3053\u3068\u3067\u3001\u3088\u308a\u60c5\u5831\u306b\u57fa\u3065\u3044\u305f\u610f\u601d\u6c7a\u5b9a\u3092\u53ef\u80fd\u306b\u3059\u308b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div id=\"biost-4026570741\" 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 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