{"id":4690,"date":"2026-08-08T07:58:52","date_gmt":"2026-08-07T22:58:52","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/?p=4690"},"modified":"2026-08-08T07:58:52","modified_gmt":"2026-08-07T22:58:52","slug":"complete-guide-to-stratified-cox-regression-in-r-why-hazard-ratios-disappear-with-strata-and-paper-reporting-standards","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/complete-guide-to-stratified-cox-regression-in-r-why-hazard-ratios-disappear-with-strata-and-paper-reporting-standards\/","title":{"rendered":"\u3010R\u8a00\u8a9e\u3011\u5c64\u5225\u5316Cox\u56de\u5e30\u306e\u5b8c\u5168\u30ac\u30a4\u30c9\uff01strata()\u3067\u30cf\u30b6\u30fc\u30c9\u6bd4\u304c\u6d88\u3048\u308b\u7406\u7531\u304b\u3089\u8ad6\u6587\u306e\u8a18\u8ff0\u4f5c\u6cd5\u307e\u3067"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u7814\u7a76\u8005<\/strong>: \u67fb\u8aad\u8005\u304b\u3089\u300c\u65bd\u8a2d\u9593\u5dee\u3092\u5c64\u5225\u5316Cox\u30e2\u30c7\u30eb\u3067\u8abf\u6574\u3057\u306a\u3055\u3044\u300d\u3068\u8a00\u308f\u308c\u3001<code>strata()<\/code> \u3092\u4f7f\u3063\u3066\u89e3\u6790\u3057\u305f\u306e\u3067\u3059\u304c\u2026\u2026\u6307\u5b9a\u3057\u305f\u5909\u6570\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\uff08HR\uff09\u304c\u51fa\u529b\u304b\u3089\u6d88\u3048\u3066\u3057\u307e\u3044\u307e\u3057\u305f\uff01\u30a8\u30e9\u30fc\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n<\/blockquote>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u7d71\u8a08ER<\/strong>: \u3054\u5b89\u5fc3\u304f\u3060\u3055\u3044\u3001<strong>\u305d\u308c\u306f\u30a8\u30e9\u30fc\u3067\u306f\u306a\u304f\u5c64\u5225\u5316Cox\u56de\u5e30\u306e\u6b63\u3057\u304f\u6b63\u5e38\u306a\u52d5\u4f5c\u3067\u3059\uff01<\/strong> \u6307\u5b9a\u3057\u305f\u5909\u6570\u306e\u30ea\u30b9\u30af\u306f\u5c64\u3054\u3068\u306e\u57fa\u6e96\u30cf\u30b6\u30fc\u30c9\u95a2\u6570\u306b\u5438\u53ce\u3055\u308c\u308b\u305f\u3081\u3001\u6700\u521d\u304b\u3089\u30cf\u30b6\u30fc\u30c9\u6bd4\u304c\u8a08\u7b97\u3055\u308c\u306a\u3044\u69cb\u9020\u306b\u306a\u3063\u3066\u3044\u308b\u3093\u3067\u3059\u3088\u3002\u3055\u3063\u305d\u304f\u4ed5\u7d44\u307f\u3068\u6d3b\u7528\u6cd5\u3092\u89e3\u8aac\u3057\u307e\u3057\u3087\u3046\uff01<\/p>\n<\/blockquote>\n\n\n\n<!--more-->\n\n\n\n<p class=\"wp-block-paragraph\">\u591a\u5909\u91cf\u89e3\u6790\u3068\u3057\u3066Cox\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u30e2\u30c7\u30eb\u3092\u5b9f\u884c\u3057\u3066\u3044\u308b\u969b\u3001\u8ad6\u6587\u306e\u67fb\u8aad\u8005\uff08Reviewer\uff09\u3084\u6307\u5c0e\u533b\u304b\u3089\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6307\u6458\u3092\u53d7\u3051\u305f\u3053\u3068\u306f\u306a\u3044\u3060\u308d\u3046\u304b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u300c\u7279\u5b9a\u5909\u6570\u306e\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u6027\u304c\u7834\u7dbb\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u5c64\u5225\u5316Cox\u30e2\u30c7\u30eb\uff08Stratified Cox Model\uff09\u3092\u9069\u7528\u3057\u306a\u3055\u3044\u300d<\/li>\n\n\n\n<li>\u300c\u591a\u65bd\u8a2d\u5171\u540c\u7814\u7a76\u306b\u304a\u3051\u308b\u65bd\u8a2d\u9593\u5dee\uff08Center Effect\uff09\u306f\u3001\u5171\u5909\u91cf\u3068\u3057\u3066\u3067\u306f\u306a\u304f<strong>\u5c64\u5225\u5316\u3067\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb<\/strong>\u3057\u306a\u3055\u3044\u300d<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u6307\u793a\u901a\u308a\u306bR\u306e <code>coxph()<\/code> \u95a2\u6570\u5185\u3067 <strong><code>strata()<\/code><\/strong> \u3092\u4f7f\u3063\u3066\u89e3\u6790\u3092\u518d\u5b9f\u884c\u3057\u305f\u3068\u3053\u308d\u3001\u4eca\u5ea6\u306f\u65b0\u305f\u306a\u554f\u984c\u304c\u767a\u751f\u3057\u3066\u30d1\u30cb\u30c3\u30af\u306b\u306a\u308b\u7814\u7a76\u8005\u304c\u5f8c\u3092\u7d76\u305f\u306a\u3044\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u300c<code>strata()<\/code> \u306b\u6307\u5b9a\u3057\u305f\u5909\u6570\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\uff08HR\uff09\u3084P\u5024\u304c\u51fa\u529b\u7d50\u679c\u304b\u3089\u6d88\u3048\u3066\u3057\u307e\u3063\u305f\u2026\u2026\u3002\u30b3\u30fc\u30c9\u3092\u9593\u9055\u3048\u305f\u306e\u3060\u308d\u3046\u304b\uff1f\u300d<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u8a18\u4e8b\u3067\u306f\u3001\u7814\u7a76\u8005\u304c\u4e00\u5ea6\u306f\u7126\u308b\u300c\u30cf\u30b6\u30fc\u30c9\u6bd4\u304c\u6d88\u3048\u308b\u7406\u7531\u300d\u3092\u5206\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3059\u308b\u3068\u3068\u3082\u306b\u3001<strong>\u5c64\u5225\u5316Cox\u56de\u5e30\u304c\u5fc5\u8981\u306a\u80cc\u666f\u3001\u901a\u5e38\u306e\u5171\u5909\u91cf\u8abf\u6574\u3068\u306e\u6839\u672c\u7684\u306a\u9055\u3044\u3001R\u3067\u306e\u66f8\u304d\u65b9\u3001\u4ea4\u4e92\u4f5c\u7528\u306e\u8a55\u4fa1\u6cd5\u3001\u8ad6\u6587\u63b2\u8f09\u6642\u306e\u82f1\u6587\u8a18\u8ff0\u4f5c\u6cd5\u307e\u3067<\/strong>\u3092\u7db2\u7f85\u3057\u3066\u89e3\u8aac\u3059\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u306a\u305c\u300c\u5c64\u5225\u5316Cox\u56de\u5e30\u300d\u3092\u4f7f\u3046\u306e\u304b\uff1f\u901a\u5e38\u306e\u591a\u5909\u91cf\u8abf\u6574\u3068\u306e\u9055\u3044<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u307e\u305a\u3001\u901a\u5e38\u306e\u591a\u5909\u91cfCox\u56de\u5e30\uff08<code>+ covariate<\/code>\uff09\u3068\u3001\u5c64\u5225\u5316Cox\u56de\u5e30\uff08<code>+ strata(covariate)<\/code>\uff09\u306e\u7d71\u8a08\u5b66\u7684\u306a\u6c7a\u5b9a\u7684\u306a\u9055\u3044\u3092\u6574\u7406\u3057\u3088\u3046\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u901a\u5e38\u306e\u591a\u5909\u91cf\u8abf\u6574\uff08<code>+ covariate<\/code>\uff09\u306e\u4ed5\u7d44\u307f\u3068\u9650\u754c<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u901a\u5e38\u306e\u591a\u5909\u91cfCox\u56de\u5e30\u3067\u306f\u3001\u89b3\u5bdf\u5bfe\u8c61\u306e\u5168\u96c6\u56e3\u306b\u5bfe\u3057\u3066\u300c\u305f\u30601\u3064\u306e\u5171\u901a\u306a\u57fa\u6e96\u30cf\u30b6\u30fc\u30c9\u95a2\u6570 $h_0(t)$\u300d\u3092\u4eee\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u305d\u3057\u3066\u3001\u8abf\u6574\u5909\u6570\uff08\u4f8b: \u5e74\u9f62\u3084\u75c5\u671f Stage\uff09\u306f\u3001\u3053\u306e\u5171\u901a\u306e\u751f\u5b58\u66f2\u7dda\u3092\u300c\u4e0a\u4e0b\u306b\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u5f71\u97ff\uff08\u4e00\u5b9a\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4 $\\exp(\\beta)$\uff09\u300d\u3092\u6301\u3064\u3068\u898b\u306a\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u306e\u30e2\u30c7\u30eb\u304c\u6210\u7acb\u3059\u308b\u305f\u3081\u306e\u7d76\u5bfe\u6761\u4ef6\u304c\u3001\u300c\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u6027\u306e\u4eee\u5b9a\uff08Proportional Hazards Assumption\uff09\u300d\u3067\u3042\u308b\u3002\u6642\u9593\u7d4c\u904e\u306b\u4f34\u3063\u3066\u5404\u7fa4\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\u304c\u5909\u5316\u3057\u306a\u3044\uff08\u751f\u5b58\u66f2\u7dda\u540c\u58eb\u304c\u4ea4\u5dee\u3057\u306a\u3044\uff09\u3053\u3068\u304c\u524d\u63d0\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u5c64\u5225\u5316\uff08<code>+ strata()<\/code>\uff09\u304c\u89e3\u6c7a\u3059\u308b2\u3064\u306e\u8ab2\u984c\uff08PH\u4eee\u5b9a\u7834\u7dbb\u30fb\u65bd\u8a2d\u5dee\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u65b9\u3001\u5c64\u5225\u5316Cox\u56de\u5e30\u3067\u306f\u3001\u6307\u5b9a\u3057\u305f\u5c64\uff08Stratum \/ \u30b0\u30eb\u30fc\u30d7\uff09\u3054\u3068\u306b\u300c\u5168\u304f\u7570\u306a\u308b\u5f62\u72b6\u306e\u57fa\u6e96\u30cf\u30b6\u30fc\u30c9\u95a2\u6570 $h_{0g}(t)$\u300d\u3092\u6301\u3064\u3053\u3068\u3092\u8a31\u5bb9\u3059\u308b\u3002\u3064\u307e\u308a\u3001\u5c64\u3054\u3068\u306b\u751f\u5b58\u66f2\u7dda\u306e\u5f62\u304c\u7570\u306a\u3063\u3066\u3044\u3066\u3082\u3001\u9014\u4e2d\u3067\u66f2\u7dda\u540c\u58eb\u304c\u4ea4\u5dee\uff08Cross\uff09\u3057\u3066\u3044\u3066\u3082\u69cb\u308f\u306a\u3044\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u30dd\u30a4\u30f3\u30c8\uff1a\u5c64\u5225\u5316Cox\u56de\u5e30\u304c\u5a01\u529b\u3092\u767a\u63ee\u3059\u308b2\u5927\u81e8\u5e8a\u30b7\u30fc\u30f3<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u6027\u304c\u7834\u7dbb\u3057\u3066\u3044\u308b\u5909\u6570\u306e\u8abf\u6574<\/strong> > Schoenfeld\u6b8b\u5dee\u30d7\u30ed\u30c3\u30c8\u7b49\u3067\u6642\u9593\u7d4c\u904e\u306b\u4f34\u3046\u30ea\u30b9\u30af\u5909\u52d5\uff08$p &lt; 0.05$\uff09\u304c\u78ba\u8a8d\u3055\u308c\u305f\u5909\u6570\uff08\u4f8b: \u75c5\u671f Stage \u3084 \u5e74\u9f62\u968e\u5c64\uff09\u3092\u5c64\u5316\u3057\u3001\u30d0\u30a4\u30a2\u30b9\u3092\u56de\u907f\u3059\u308b\u3002<\/li>\n\n\n\n<li><strong>\u591a\u65bd\u8a2d\u5171\u540c\u7814\u7a76\u306b\u304a\u3051\u308b\u65bd\u8a2d\u9593\u5dee\uff08Center Effect\uff09\u306e\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb<\/strong> > \u65bd\u8a2d\u3054\u3068\u306e\u30d9\u30fc\u30b9\u30e9\u30a4\u30f3\u30ea\u30b9\u30af\uff08\u521d\u671f\u6b7b\u4ea1\u7387\u3084\u8a3a\u65ad\u6280\u8853\u306e\u9055\u3044\uff09\u3092\u5c64\u3054\u3068\u306b\u81ea\u7531\u306b\u5438\u53ce\u3055\u305b\u3064\u3064\u3001\u4e3b\u8981\u306a\u6cbb\u7642\u52b9\u679c\uff08HR\uff09\u3092\u4e00\u62ec\u3067\u6b63\u78ba\u306b\u63a8\u8a08\u3059\u308b\u3002<\/li>\n<\/ol>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">\u3010\u5b9f\u8df5\u3011R\u3067\u306e\u5c64\u5225\u5316Cox\u56de\u5e30\u306e\u5b9f\u88c5\uff08<code>coxph<\/code> + <code>strata<\/code>\uff09\u3068\u30b5\u30de\u30ea\u30fc\u306e\u8aad\u307f\u89e3\u304d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">R\u3067\u5c64\u5225\u5316Cox\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u306e\u306f\u975e\u5e38\u306b\u7c21\u5358\u3067\u3042\u308b\u3002<code>survival<\/code> \u30d1\u30c3\u30b1\u30fc\u30b8\u306e <code>coxph()<\/code> \u95a2\u6570\u5185\u3067\u3001\u5c64\u5225\u5316\u3057\u305f\u3044\u5909\u6570\u3092 <strong><code>strata()<\/code><\/strong> \u3067\u56f2\u3080\u3060\u3051\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u521d\u5fc3\u8005\u304c\u9665\u308a\u3084\u3059\u3044\u6ce8\u610f\u70b9\uff1a\u9023\u7d9a\u5909\u6570\u306e\u5c64\u5225\u5316<\/strong> > <code>strata()<\/code> \u306b\u6e21\u3059\u5909\u6570\u306f\u3001\u5fc5\u305a<strong>\u30ab\u30c6\u30b4\u30ea\u5909\u6570\uff08\u56e0\u5b50\u578b\uff1afactor\uff09<\/strong>\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u9023\u7d9a\u5909\u6570\uff08\u4f8b: <code>age<\/code>\uff09\u3092\u305d\u306e\u307e\u307e\u6e21\u3059\u3068\u3001\u5024\u3054\u3068\u306b\u81a8\u5927\u306a\u5c64\u304c\u4f5c\u3089\u308c\u3066\u89e3\u6790\u304c\u7834\u7dbb\u3059\u308b\u305f\u3081\u3001\u3042\u3089\u304b\u3058\u3081 <code>cut()<\/code> \u7b49\u3067\u5e74\u4ee3\u5225\u306b\u30ab\u30c6\u30b4\u30ea\u5316\u3057\u3066\u304a\u3053\u3046\u3002<\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">\u3042\u3089\u304b\u3058\u3081\u5fc5\u8981\u306a\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u8aad\u307f\u8fbc\u307f\u3001\u52d5\u4f5c\u78ba\u8a8d\u7528\u306e\u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bf\u3092\u4f5c\u6210\u3057\u3088\u3046\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>library(tidyverse)\nlibrary(survival)\n\n# \u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bf\u306e\u4f5c\u6210\nset.seed(123)\nn &lt;- 200\ndf &lt;- tibble(\n  time   = rexp(n, rate = 0.05),\n  status = sample(c(0, 1), n, replace = TRUE, prob = c(0.3, 0.7)),\n  treat  = factor(sample(c(\"Control\", \"Drug\"), n, replace = TRUE)),\n  age    = rnorm(n, mean = 60, sd = 10),\n  center = factor(sample(c(\"Center_A\", \"Center_B\", \"Center_C\"), n, replace = TRUE)) # \u65bd\u8a2d\u9593\u5dee\n)\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u57fa\u672c\u30b3\u30fc\u30c9\u306e\u66f8\u304d\u65b9\uff08<code>survival::coxph<\/code>\uff09<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code># 1. \u901a\u5e38\u306e\u591a\u5909\u91cfCox\u56de\u5e30\uff08\u65bd\u8a2d\u9593\u5dee center \u3092\u305d\u306e\u307e\u307e\u6295\u5165\uff09\nfit_normal &lt;- coxph(Surv(time, status) ~ treat + age + center, data = df)\nsummary(fit_normal)\n\n# 2. \u5c64\u5225\u5316Cox\u56de\u5e30\uff08\u65bd\u8a2d\u9593\u5dee center \u3092\u5c64\u5225\u5316\uff09\nfit_strat &lt;- coxph(Surv(time, status) ~ treat + age + strata(center), data = df)\nsummary(fit_strat)<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u306a\u305c\u5c64\u5316\u5909\u6570\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\uff08HR\uff09\u304c\u51fa\u529b\u304b\u3089\u6d88\u3048\u308b\u306e\u304b\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b9f\u884c\u7d50\u679c\u3092 <code>summary()<\/code> \u3067\u78ba\u8a8d\u3057\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>summary(fit_strat)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u51fa\u529b\u7d50\u679c\u3092\u898b\u3066\u307f\u308b\u3068\u3001<code>treat<\/code>\uff08\u6cbb\u7642\u7fa4\uff09\u3084 <code>age<\/code>\uff08\u5e74\u9f62\uff09\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\uff08<code>exp(coef)<\/code>\uff09\u3084P\u5024\u306f\u8868\u793a\u3055\u308c\u308b\u304c\u3001<strong><code>strata(center)<\/code> \u3068\u3057\u3066\u6307\u5b9a\u3057\u305f <code>center<\/code> \u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\u306e\u884c\u304c\u5b8c\u5168\u306b\u6d88\u3048\u3066\u3044\u308b\u3002<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u6d88\u3048\u308b\u7406\u7531\u306e\u6570\u5b66\u7684\u30ed\u30b8\u30c3\u30af<\/strong> &gt; \u5c64\u5225\u5316Cox\u56de\u5e30\u306e\u30e2\u30c7\u30eb\u5f0f\u306f\u3001\u5c64$g$\uff08\u5404\u65bd\u8a2d\uff09\u306b\u304a\u3044\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u308b\u3002$$h_g(t) = h_{0g}(t) \\exp(\\beta_1 \\cdot \\text{treat} + \\beta_2 \\cdot \\text{age})$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u65bd\u8a2d\u3054\u3068\u306e\u30ea\u30b9\u30af\u306e\u9055\u3044\u306f\u3001\u3059\u3079\u3066\u5c64\u3054\u3068\u306e\u57fa\u6e96\u30cf\u30b6\u30fc\u30c9\u95a2\u6570$h_{0g}(t)$\u306e\u5185\u90e8\u306b\u5b8c\u5168\u306b\u5438\u53ce\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3064\u307e\u308a\u3001\u5c64\u5225\u5316\u5909\u6570\uff08<code>center<\/code>\uff09\u306b\u5bfe\u3057\u3066\u306f<strong>\u6700\u521d\u304b\u3089\u56de\u5e30\u4fc2\u6570<\/strong>$\\beta$<strong>\u3092\u5b9a\u7fa9\u30fb\u63a8\u5b9a\u3057\u306a\u3044\u69cb\u9020<\/strong>\u306b\u306a\u3063\u3066\u3044\u308b\u3002\u305d\u306e\u305f\u3081\u3001\u300c\u30cf\u30b6\u30fc\u30c9\u6bd4\u304c\u8868\u793a\u3055\u308c\u306a\u3044\u300d\u306e\u304c\u7d71\u8a08\u5b66\u7684\u306b\u6b63\u3057\u304f\u3001\u6b63\u5e38\u306a\u51fa\u529b\u7d50\u679c\u306a\u306e\u3067\u3042\u308b\u3002<\/p>\n<\/blockquote>\n\n\n\n<div id=\"biost-1720499307\" 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\">\u3010\u767a\u5c55\u3011\u5c64\u3054\u3068\u306b\u6cbb\u7642\u52b9\u679c\u304c\u7570\u306a\u308b\u304b\uff1f\uff08\u4ea4\u4e92\u4f5c\u7528\u30fb\u52b9\u679c\u4fee\u98fe\u306e\u8a55\u4fa1\uff09<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u30c7\u30d5\u30a9\u30eb\u30c8\u306e\u5c64\u5225\u5316Cox\u56de\u5e30\uff08<code>strata()<\/code>\uff09\u306f\u3001\u300c\u57fa\u6e96\u30cf\u30b6\u30fc\u30c9\u306f\u5c64\u3054\u3068\u306b\u7570\u306a\u308b\u304c\u3001\u6cbb\u7642\uff08<code>treat<\/code>\uff09\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4 $\\beta_1$ \u306f\u5168\u5c64\u3067\u5171\u901a\uff08\u7b49\u3057\u3044\uff09\u300d\u3068\u3044\u3046\u4eee\u5b9a\u3092\u7f6e\u3044\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3057\u304b\u3057\u3001\u81e8\u5e8a\u7814\u7a76\u3067\u306f\u300c\u65bd\u8a2d\u3054\u3068\u3001\u3042\u308b\u3044\u306f\u75c5\u671f\uff08Stage\uff09\u3054\u3068\u306b\u6cbb\u7642\u306e\u52b9\u679c\uff08\u30cf\u30b6\u30fc\u30c9\u6bd4\uff09\u305d\u306e\u3082\u306e\u304c\u7570\u306a\u308b\u306e\u3067\u306f\u306a\u3044\u304b\uff1f\uff08\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u89e3\u6790 \/ \u4ea4\u4e92\u4f5c\u7528\uff09\u300d\u3092\u691c\u8a3c\u3057\u305f\u3044\u5834\u9762\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c64\u3054\u3068\u306b\u500b\u5225\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\u3092\u63a8\u5b9a\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u30e2\u30c7\u30eb\u5185\u3067\u4ea4\u5dee\u9805\uff08<code>treat * strata(...)<\/code>\uff09\u3092\u6307\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u5c64\u3054\u3068\u306b\u500b\u5225\u6cbb\u7642\u52b9\u679c\uff08\u30cf\u30b6\u30fc\u30c9\u6bd4\uff09\u3092\u6c42\u3081\u308b\u4ea4\u5dee\u9805\u30e2\u30c7\u30eb\nfit_inter &lt;- coxph(Surv(time, status) ~ age + treat * strata(center), data = df)\nsummary(fit_inter)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u306e\u30b3\u30fc\u30c9\u3092\u5b9f\u884c\u3059\u308b\u3068\u3001<code>Center_A<\/code> \u3092\u57fa\u6e96\u3068\u3057\u305f\u5404\u65bd\u8a2d\u306b\u304a\u3051\u308b\u6cbb\u7642\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\u3084\u3001\u65bd\u8a2d\u3054\u3068\u306e\u52b9\u679c\u306e\u9055\u3044\uff08\u4ea4\u4e92\u4f5c\u7528\u306eP\u5024\uff09\u3092\u8a55\u4fa1\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u67fb\u8aad\u8005\uff08Reviewer\uff09\u3092\u7d0d\u5f97\u3055\u305b\u308b\u8ad6\u6587\u30fb\u5b66\u4f1a\u767a\u8868\u3067\u306e\u8a18\u8ff0\u4f5c\u6cd5<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c64\u5225\u5316Cox\u56de\u5e30\u3092\u7528\u3044\u3066\u5f97\u3089\u308c\u305f\u7d50\u679c\u3092\u8ad6\u6587\u306b\u63b2\u8f09\u3059\u308b\u969b\u306f\u3001\u67fb\u8aad\u8005\u306b\u300c\u6b63\u3057\u304f\u5c64\u5225\u5316\u89e3\u6790\u304c\u884c\u308f\u308c\u305f\u3053\u3068\u300d\u3092\u4f1d\u3048\u308b\u6a19\u6e96\u7684\u306a\u82f1\u6587\u8868\u73fe\u3092\u7528\u3044\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u89e3\u6790\u65b9\u6cd5\uff08Methods\uff09\u306e\u82f1\u6587\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u4eee\u5b9a\u306e\u7834\u7dbb\u306b\u5bfe\u5fdc\u3057\u305f\u5834\u5408<\/strong>:<em>&#8220;To account for the non-proportional hazards of disease stage, a stratified Cox proportional hazards model was fitted by stratifying on disease stage.&#8221;<\/em><\/li>\n\n\n\n<li><strong>\u591a\u65bd\u8a2d\u5171\u540c\u7814\u7a76\u306e\u65bd\u8a2d\u9593\u5dee\u3092\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u3057\u305f\u5834\u5408<\/strong>:<em>&#8220;To control for potential clustering and center-specific baseline risks, a stratified Cox proportional hazards model was utilized with study center as a stratifying factor.&#8221;<\/em><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u7d50\u679c\u8868\uff08Table 2\u306a\u3069\uff09\u306e\u811a\u6ce8\uff08Footnote\uff09\u8a18\u8f09\u4f8b<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c64\u5225\u5316\u3092\u884c\u3063\u305f\u5909\u6570\u306f\u8868\u306e\u884c\u304b\u3089\u6d88\u3048\u308b\u305f\u3081\u3001<strong>\u5fc5\u305a\u811a\u6ce8\u306b\u300c\u3069\u306e\u5909\u6570\u3067\u5c64\u5225\u5316\u3057\u305f\u304b\u300d\u3092\u660e\u8a18\u3057\u3066\u304a\u304f<\/strong>\u306e\u304c\u30de\u30ca\u30fc\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><em>&#8220;Hazard ratios (HRs) and 95% confidence intervals (CIs) were estimated using a Cox proportional hazards model stratified by study center and adjusted for age and sex.&#8221;<\/em><\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">\u3010\u307e\u3068\u3081\u3011\u30b3\u30d4\u30da\u3067\u52d5\u304f\uff01\u5c64\u5225\u5316Cox\u56de\u5e30\u306e\u4e00\u62ecR\u30b3\u30fc\u30c9\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u8a18\u4e8b\u3067\u89e3\u8aac\u3057\u305f\u300c\u901a\u5e38\u30e2\u30c7\u30eb \u2794 \u5c64\u5225\u5316\u30e2\u30c7\u30eb \u2794 \u30b5\u30de\u30ea\u30fc\u78ba\u8a8d \u2794 \u4ea4\u4e92\u4f5c\u7528\u30e2\u30c7\u30eb\u300d\u306e\u4e00\u9023\u306e\u6d41\u308c\u3092\u307e\u3068\u3081\u305f\u4e00\u62ec\u30b3\u30fc\u30c9\u3092\u4ee5\u4e0b\u306b\u793a\u3059\u3002\u81ea\u8eab\u306e\u624b\u5143\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u540d\u30fb\u5909\u6570\u540d\u306b\u7f6e\u304d\u63db\u3048\u3066\u6d3b\u7528\u3057\u3066\u307b\u3057\u3044\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># === \u5c64\u5225\u5316Cox\u56de\u5e30 \u89e3\u6790\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8 ===\nlibrary(tidyverse)\nlibrary(survival)\n\n# 1. \u901a\u5e38\u306e\u591a\u5909\u91cfCox\u56de\u5e30\nfit_normal &lt;- coxph(Surv(time, status) ~ treat + age + sex + stage, data = df)\nsummary(fit_normal)\n\n# 2. \u5c64\u5225\u5316Cox\u56de\u5e30\uff08PH\u4eee\u5b9a\u304c\u7834\u7dbb\u3057\u305f stage \u3084\u65bd\u8a2d\u5dee\u3092 strata \u306b\u6295\u5165\uff09\n# \u203b stage \u306f\u4e8b\u524d\u306b\u56e0\u5b50\u578b\uff08factor\uff09\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\uff01\nfit_strat &lt;- coxph(Surv(time, status) ~ treat + age + sex + strata(stage), data = df)\n\n# \u30b5\u30de\u30ea\u30fc\u78ba\u8a8d\uff08\u203b stage \u306eHR\u304c\u51fa\u529b\u3055\u308c\u306a\u3044\u306e\u306f\u6b63\u5e38\u52d5\u4f5c\uff01\uff09\nsummary(fit_strat)\n\n# 3. \uff08\u767a\u5c55\uff09\u5c64\u3054\u3068\u306e\u6cbb\u7642\u52b9\u679c\u306e\u9055\u3044\uff08\u4ea4\u4e92\u4f5c\u7528\uff09\u3092\u8a55\u4fa1\u3057\u305f\u3044\u5834\u5408\nfit_inter &lt;- coxph(Surv(time, status) ~ age + sex + treat * strata(stage), data = df)\nsummary(fit_inter)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u300c<code>strata()<\/code> \u3092\u6307\u5b9a\u3059\u308b\u3068\u305d\u306e\u5909\u6570\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\u304c\u51fa\u306a\u304f\u306a\u308b\u300d\u3068\u3044\u3046\u4ed5\u69d8\u3092\u6b63\u3057\u304f\u7406\u89e3\u3057\u3066\u304a\u3051\u3070\u3001\u3082\u3046\u51fa\u529b\u7d50\u679c\u3092\u898b\u3066\u7126\u308b\u5fc5\u8981\u306f\u306a\u3044\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u4f8b\u30cf\u30b6\u30fc\u30c9\u6027\u306e\u7834\u7dbb\u3084\u591a\u65bd\u8a2d\u30c7\u30fc\u30bf\u306e\u4ea4\u7d61\u3092\u30b9\u30de\u30fc\u30c8\u306b\u30af\u30ea\u30a2\u3057\u3001\u67fb\u8aad\u306b\u901a\u308b\u9811\u5065\u3067\u4fe1\u983c\u6027\u306e\u9ad8\u3044\u7814\u7a76\u8ad6\u6587\u3092\u5b8c\u6210\u3055\u305b\u3088\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u304a\u3059\u3059\u3081\u66f8\u7c4d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/amzn.to\/4z1ocXD\">\u8ab0\u3082\u6559\u3048\u3066\u304f\u308c\u306a\u304b\u3063\u305f\u3000\u533b\u7642\u7d71\u8a08\u306e\u4f7f\u3044\u5206\u3051\u301c\u8ff7\u3044\u3084\u3059\u3044\u89e3\u6790\u624b\u6cd5\u306e\u9078\u3073\u65b9\u304c\uff0cR\u3067\u5b9f\u611f\u3057\u306a\u304c\u3089\u308f\u304b\u308b\uff01<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7814\u7a76\u8005: \u67fb\u8aad\u8005\u304b\u3089\u300c\u65bd\u8a2d\u9593\u5dee\u3092\u5c64\u5225\u5316Cox\u30e2\u30c7\u30eb\u3067\u8abf\u6574\u3057\u306a\u3055\u3044\u300d\u3068\u8a00\u308f\u308c\u3001strata() \u3092\u4f7f\u3063\u3066\u89e3\u6790\u3057\u305f\u306e\u3067\u3059\u304c\u2026\u2026\u6307\u5b9a\u3057\u305f\u5909\u6570\u306e\u30cf\u30b6\u30fc\u30c9\u6bd4\uff08HR\uff09\u304c\u51fa\u529b\u304b\u3089\u6d88\u3048\u3066\u3057\u307e\u3044\u307e\u3057\u305f\uff01\u30a8\u30e9\u30fc\u3067\u3057\u3087\u3046\u304b\uff1f \u7d71\u8a08ER: \u3054\u5b89 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":4691,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[21],"tags":[],"class_list":["post-4690","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-21"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2026\/08\/\u5c64\u5225\u5316Cox\u56de\u5e30-scaled.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/4690","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=4690"}],"version-history":[{"count":1,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/4690\/revisions"}],"predecessor-version":[{"id":4692,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/4690\/revisions\/4692"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media\/4691"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=4690"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=4690"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=4690"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}