{"id":48,"date":"2024-03-14T20:51:53","date_gmt":"2024-03-14T11:51:53","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/?p=48"},"modified":"2025-02-16T18:17:27","modified_gmt":"2025-02-16T09:17:27","slug":"r-for-restricted-cubic-spline-curve-with-binary-outcome","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/r-for-restricted-cubic-spline-curve-with-binary-outcome\/","title":{"rendered":"R \u3067 \u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u3092\u4e8c\u5024\u30a2\u30a6\u30c8\u30ab\u30e0\u306e\u5834\u5408\u306b\u66f8\u304f\u65b9\u6cd5"},"content":{"rendered":"\n

\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u306f\u3001\u30c7\u30fc\u30bf\u306e\u975e\u7dda\u5f62\u95a2\u4fc2\u3092\u3068\u3089\u3048\u308b\u305f\u3081\u306b\u66f8\u3044\u3066\u307f\u308b\u30b0\u30e9\u30d5\u306e\u3053\u3068<\/p>\n\n\n\n

\u4e8c\u5024\u306e\u30a2\u30a6\u30c8\u30ab\u30e0\u306e\u5834\u5408\u3001R \u3067\u3069\u306e\u3088\u3046\u306b\u66f8\u304f\u304b\u7d39\u4ecb<\/p>\n\n\n\n\n\n\n\n

\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u3068\u306f<\/h2>\n\n\n\n

\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u306f\u3001\u30c7\u30fc\u30bf\u306e\u975e\u7dda\u5f62\u95a2\u4fc2\u3092\u3068\u3089\u3048\u308b\u305f\u3081\u306b\u7528\u3044\u3089\u308c\u308b\u66f2\u7dda\u30b0\u30e9\u30d5\u306e\u3053\u3068<\/p>\n\n\n\n

\u30ce\u30c3\u30c8\uff08knots\uff09\u3092\u8a2d\u5b9a\u3057\u3001\u305d\u306e\u9593\u3067 3 \u6b21\u95a2\u6570\u3092\u9069\u7528\u3059\u308b<\/p>\n\n\n\n

\u305f\u3060\u3057\u3001\u672b\u7aef\u90e8\u5206\u3001\u3064\u307e\u308a\u3001\u6700\u5c0f\u5024\u3068\u6700\u5927\u5024\u4ed8\u8fd1\u3067\u306f\u3001\u7dda\u5f62\u3068\u3059\u308b\u3088\u3046\u306b\u5236\u9650\u3092\u4ed8\u3051\u308b\u3053\u3068\u3067\u3001\u904e\u5270\u9069\u5408\uff08\u30aa\u30fc\u30d0\u30fc\u30d5\u30a3\u30c3\u30c6\u30a3\u30f3\u30b0\uff09\u3092\u9632\u3044\u3067\u3044\u308b<\/p>\n\n\n\n

\u30ce\u30c3\u30c8\u306e\u9593\u306b 3 \u6b21\u95a2\u6570\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3068\u3001\u672b\u7aef\u90e8\u5206\u3067\u7dda\u5f62\u306b\u5236\u9650\u3059\u308b\u3053\u3068\u304b\u3089\u3001\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u3068\u547c\u3070\u308c\u308b<\/p>\n\n\n\n

\u4ed6\u306e\u30b9\u30d7\u30e9\u30a4\u30f3\u3068\u306e\u9055\u3044\u3068\u4f7f\u3044\u5206\u3051<\/h2>\n\n\n\n

\u30b9\u30d7\u30e9\u30a4\u30f3\u306b\u306f\u3001\u307b\u304b\u306b\u3001B \u30b9\u30d7\u30e9\u30a4\u30f3\u3001\u7f70\u5247\u4ed8\u304d\u30b9\u30d7\u30e9\u30a4\u30f3\uff08penalized spline\uff09\u304c\u3042\u308b\u304c\u3001\u305d\u308c\u3089\u3068\u306e\u9055\u3044\u3068\u4f7f\u3044\u5206\u3051\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u3066\u307f\u308b<\/p>\n\n\n\n

<\/td>\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3<\/td>B \u30b9\u30d7\u30e9\u30a4\u30f3<\/td>\u7f70\u5247\u4ed8\u304d\u30b9\u30d7\u30e9\u30a4\u30f3<\/td><\/tr>
\u6982\u8981<\/td>\u4e21\u7aef\u3092\u7dda\u5f62\u306b\u5236\u7d04\u3057\u3001\u9069\u5ea6\u306b\u67d4\u8edf\u6027\u3092\u6301\u305f\u305b\u308b<\/td>\u95a2\u6570\u306e\u4e2d\u306b\u5c40\u6240\u7684\u306a\u95a2\u6570\uff08\u57fa\u5e95\u95a2\u6570\uff09\u3092\u7528\u3044\u305f\u30b9\u30e0\u30fc\u30b8\u30f3\u30b0<\/td>B \u30b9\u30d7\u30e9\u30a4\u30f3\u3092\u4f7f\u3044\u3064\u3064\u3001\u904e\u5270\u9069\u5408\u3092\u6291\u5236\u3059\u308b\u7f70\u5247\uff08\u30da\u30ca\u30eb\u30c6\u30a3\uff09\u3092\u5c0e\u5165<\/td><\/tr>
\u7279\u5fb4<\/td>\u30ce\u30c3\u30c8\u6570\u304c\u5c11\u306a\u304f\u3001\u89e3\u91c8\u3057\u3084\u3059\u3044<\/td>\u904e\u5270\u9069\u5408\u3092\u6291\u3048\u308b\u305f\u3081\u3001\u30ce\u30c3\u30c8\u6570\u306e\u8abf\u6574\u304c\u5fc5\u8981<\/td>\u904e\u5270\u9069\u5408\u3092\u6291\u3048\u306a\u304c\u3089\u30b9\u30e0\u30fc\u30ba\u306a\u66f2\u7dda\u304c\u5f97\u3089\u308c\u308b<\/td><\/tr>
\u4f7f\u3044\u5206\u3051<\/td>\u75ab\u5b66\u30fb\u533b\u7642\u5206\u91ce\u3067\u3088\u304f\u4f7f\u308f\u308c\u308b<\/td>\u9ad8\u6b21\u5143\u30c7\u30fc\u30bf\u306e\u975e\u7dda\u5f62\u30e2\u30c7\u30ea\u30f3\u30b0<\/td>\u9ad8\u6b21\u5143\u30c7\u30fc\u30bf\u306e\u975e\u7dda\u5f62\u30e2\u30c7\u30ea\u30f3\u30b0\u3001\u6642\u7cfb\u5217\u30c7\u30fc\u30bf<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\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>\r\n

\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div>

LOESS \u3068\u306e\u9055\u3044\u3068\u4f7f\u3044\u5206\u3051<\/h2>\n\n\n\n

LOESS (Locally weighted polynomial regression curve)\uff08\u30ed\u30a5\u30a8\u30b9\u307f\u305f\u3044\u306b\u767a\u97f3\u3059\u308b\uff09\u3082\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u306b\u4f3c\u3066\u3044\u308b<\/p>\n\n\n\n

\u3069\u3061\u3089\u3082\u30c7\u30fc\u30bf\u306e\u30b9\u30e0\u30fc\u30b8\u30f3\u30b0\uff08\u5e73\u6ed1\u5316\uff09\u624b\u6cd5\u306e\u4e00\u7a2e\u3067\u3001\u533a\u9593\u3054\u3068\u306b\u591a\u9805\u5f0f\u3092\u30d5\u30a3\u30c3\u30c8\u3055\u305b\u308b\u3053\u3068\u3067\u3001\u66f2\u7dda\u3092\u4f5c\u308b\u306e\u306f\u5171\u901a<\/p>\n\n\n\n

\u9055\u3044\u3092\u307e\u3068\u3081\u308b\u3068\u4ee5\u4e0b\u306e\u3068\u304a\u308a<\/p>\n\n\n\n

\u9805\u76ee<\/td>\u30b9\u30d7\u30e9\u30a4\u30f3<\/td>LOESS<\/td><\/tr>
\u30a2\u30d7\u30ed\u30fc\u30c1<\/td>\u30b0\u30ed\u30fc\u30d0\u30eb\uff08\u5168\u4f53\u7684\uff09<\/td>\u30ed\u30fc\u30ab\u30eb\uff08\u5c40\u6240\u7684\uff09<\/td><\/tr>
\u30e2\u30c7\u30eb\u69cb\u7bc9\u65b9\u6cd5<\/td>\u7d50\u7bc0\u70b9\uff08\u30ce\u30c3\u30c8 knots\uff09\u3092\u8a2d\u5b9a\u3057\u3001\u533a\u9593\u3054\u3068\u306b\u591a\u9805\u5f0f\u3092\u3064\u306a\u3050<\/td>\u5c40\u6240\u7684\u306b\u79fb\u52d5\u7a93\u3092\u53d6\u308a\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u9069\u7528\u3059\u308b<\/td><\/tr>
\u95a2\u6570\u30fb\u6ed1\u3089\u304b\u3055\u306e\u5236\u7d04<\/td>\u5168\u4f53\u3068\u3057\u3066\u30b9\u30e0\u30fc\u30ba\u306a\u95a2\u6570\u3092\u4f5c\u308b\u3088\u3046\u5236\u7d04\uff08e.g., \u9023\u7d9a\u6027\u3001\u5fae\u5206\u53ef\u80fd\u6027\uff09<\/td>\u5c40\u6240\u7684\u306b\u56de\u5e30\u3092\u7e70\u308a\u8fd4\u3059\u306e\u3067\u3001\u7279\u5b9a\u306e\u6ed1\u3089\u304b\u3055\u5236\u7d04\u306f\u306a\u3057<\/td><\/tr>
\u8a08\u7b97\u30b3\u30b9\u30c8<\/td>\u6bd4\u8f03\u7684\u4f4e\u3044\uff08\u884c\u5217\u8a08\u7b97\u30d9\u30fc\u30b9\uff09<\/td>\u9ad8\u3044\uff08\u5c40\u6240\u56de\u5e30\u3092\u7e70\u308a\u8fd4\u3057\u8a08\u7b97\uff09<\/td><\/tr>
\u304a\u3059\u3059\u3081\u5834\u9762\uff08\u4f7f\u3044\u5206\u3051\uff09<\/td>\u5168\u4f53\u306e\u30c8\u30ec\u30f3\u30c9\u3092\u30b9\u30e0\u30fc\u30ba\u306b\u6349\u3048\u305f\u3044\u3068\u304d<\/td>\u5c40\u6240\u7684\u306a\u30c7\u30fc\u30bf\u306e\u5909\u52d5\u3092\u6349\u3048\u305f\u3044\u3068\u304d<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u4e8c\u5024\u30a2\u30a6\u30c8\u30ab\u30e0\u306e\u5834\u5408 R \u3067\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u3092\u66f8\u304f\u65b9\u6cd5<\/h2>\n\n\n\n

\u4e8c\u5024\u30a2\u30a6\u30c8\u30ab\u30e0\u306a\u306e\u3067\u3001\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u56de\u5e30\u3067\u3001\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u3092\u66f8\u304f<\/p>\n\n\n\n

rms \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u7528\u3044\u308b<\/p>\n\n\n\n

\u307e\u305a\u306f\u3001rms \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b<\/p>\n\n\n\n

# R \u30b3\u30f3\u30bd\u30fc\u30eb\u306b\u4ee5\u4e0b\u3092\u66f8\u3044\u3066\u30a8\u30f3\u30bf\u30fc\ninstall.packages(\"rms\")<\/code><\/pre>\n\n\n\n
Japan Yonezawa \u30b5\u30fc\u30d0\u30fc\u304b\u3089\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3057\u3066\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b<\/p>\n\n\n\n
\u4eca\u56de\u30b5\u30f3\u30d7\u30eb\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b\u306e\u306f\u3001EZR \u306e\u516c\u5f0f\u30de\u30cb\u30e5\u30a2\u30eb\u306b\u4ed8\u5c5e\u3057\u3066\u3044\u308b Imatinib_Stop \u3068\u3044\u3046\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8<\/p>\n\n\n\n
\u30a4\u30de\u30c1\u30cb\u30d6\u306e\u4e2d\u6b62\u306b\u304b\u304b\u308f\u308b\u8981\u56e0\u306e\u81e8\u5e8a\u7814\u7a76\u30c7\u30fc\u30bf\u3067\u3042\u308b<\/p>\n\n\n\n
EZR \u306e\u516c\u5f0f\u30de\u30cb\u30e5\u30a2\u30eb\u306f\u3053\u3061\u3089 \u2192 EZR\u3067\u3084\u3055\u3057\u304f\u5b66\u3076\u7d71\u8a08\u5b66 \u6539\u8a023\u7248 \u301cEBM\u306e\u5b9f\u8df5\u304b\u3089\u81e8\u5e8a\u7814\u7a76\u307e\u3067\u301c<\/a><\/p>\n\n\n\n
\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b9\u30af\u30ea\u30d7\u30c8\u3067\u3001\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u304c\u66f8\u3051\u308b<\/p>\n\n\n\n
# rms \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u547c\u3073\u51fa\u3059\nlibrary(rms)\n\n# \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u540d\u3092 df \u3068\u3059\u308b\uff08\u3053\u308c\u306f\u4efb\u610f\uff09\ndf <- Imatinib_Stop\n\n# lrm \u95a2\u6570\u3067\u8a08\u7b97\u3059\u308b\uff1b X \u8ef8\u306b\u3057\u305f\u3044\u9023\u7d9a\u30c7\u30fc\u30bf\u306b\u5bfe\u3057\u3066\u3001rcs \u9805\u3092\u4f7f\u7528\u3059\u308b\nlrm2 <- lrm(Stop400 ~ rcs(Age) + Sex, data=df)\nprint(lrm2)\n\n# \u30b0\u30e9\u30d5\u63cf\u753b\u306e\u6e96\u5099\uff08rms \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3063\u3066\u30b0\u30e9\u30d5\u3092\u66f8\u304f\u5834\u5408\u306e\u304a\u6c7a\u308a\uff09\nddist <- datadist(df)\noptions(datadist=\"ddist\")\n\n# \u30b0\u30e9\u30d5\u3092\u63cf\u753b\u3059\u308b\uff08Y \u8ef8\u3092\u5bfe\u6570\u30aa\u30c3\u30ba\u6bd4\u306b\u3059\u308b\u304b\u3001\u30aa\u30c3\u30ba\u6bd4\u306b\u3059\u308b\u304b\u3001\u5272\u5408\u306b\u3059\u308b\u304b\u306f\u7528\u9014\u306b\u3088\u308b\nplot(Predict(lrm2, Age), ylab=\"log Odds Ratio\") # \u5bfe\u6570\u30aa\u30c3\u30ba\u6bd4\nplot(Predict(lrm2, Age, fun=exp), ylab=\"Odds Ratio\" ) # \u30aa\u30c3\u30ba\u6bd4\nplot(Predict(lrm2, Age, fun=plogis), ylab=\"Probability\") # \u5272\u5408<\/code><\/pre>\n\n\n\n
rms \u30d1\u30c3\u30b1\u30fc\u30b8\u306e\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u56de\u5e30\u95a2\u6570\u306f\u3001lrm \u95a2\u6570\u3067\u3042\u308b<\/p>\n\n\n\n
X \u8ef8\u306b\u3057\u305f\u3044\u9023\u7d9a\u30c7\u30fc\u30bf\u306e\u8aac\u660e\u5909\u6570\u306b rcs \u9805\u3092\u9069\u7528\u3059\u308b<\/p>\n\n\n\n
rcs \u306f Restricted Cubic Spline\uff08\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\uff09\u306e\u982d\u6587\u5b57\u3067\u3042\u308b<\/p>\n\n\n\n
Y \u8ef8\u3092\u5272\u5408\u306b\u3057\u305f\u5834\u5408\u306e\u30b0\u30e9\u30d5\u3092\u4ee5\u4e0b\u306b\u793a\u3059<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
Y \u8ef8\u304c\u4e8c\u5024\u30a2\u30a6\u30c8\u30ab\u30e0\u306e\u63a8\u5b9a\u767a\u751f\u5272\u5408\u3001X \u8ef8\u304c\u5e74\u9f62\u3068\u3057\u305f\u3001\u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u3067\u3042\u308b<\/p>\n\n\n\n
\u9752\u7dda\u304c\u63a8\u5b9a\u5024\u3067\u3001\u7070\u8272\u306e\u5f71\u304c 95 \uff05 \u4fe1\u983c\u533a\u9593\u3067\u3042\u308b<\/p>\n\n\n\n
\u5225\u306e\u8a08\u7b97\u4f8b\u3067\u3042\u308b\u304c\u3001Y \u8ef8\u3092\u30aa\u30c3\u30ba\u6bd4\u306b\u3057\u305f\u5834\u5408\u306e\u4f8b\u3092\u4ee5\u4e0b\u306b\u6319\u3052\u308b<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u30aa\u30c3\u30ba\u6bd4\u306e\u5834\u5408\u3001Y \u8ef8\u3092\u5bfe\u6570\u8868\u8a18\u306b\u3057\u306a\u3044\u3068\u3001\u4e0a\u4e0b\u306e\u5e45\u304c\u7570\u306a\u3063\u3066\u898b\u3048\u308b<\/p>\n\n\n\n
\u5bfe\u6570\u30aa\u30c3\u30ba\u6bd4\u306e\u5834\u5408\u306f\u3001\u4e0a\u4e0b\u306e\u5e45\u304c\u540c\u3058\u306b\u306a\u308b<\/p>\n\n\n\n
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\u9805\u76ee<\/td>\u5272\u5408<\/td>\u30aa\u30c3\u30ba\u6bd4<\/td><\/tr>
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\u307e\u3068\u3081<\/h2>\n\n\n\n
R \u3067 \u5236\u9650\u4ed8\u304d 3 \u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u66f2\u7dda\u306e\u66f8\u304d\u65b9\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u305f<\/p>\n\n\n\n
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\u53c2\u8003\u8a18\u4e8b<\/h2>\n\n\n\n
BMI, hypertension in Palau, restricted cubic spline method<\/a><\/p>\n\n\n\n
<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
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