{"id":4118,"date":"2025-07-05T19:51:20","date_gmt":"2025-07-05T10:51:20","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/?p=4118"},"modified":"2025-07-05T19:51:22","modified_gmt":"2025-07-05T10:51:22","slug":"missing-rate-calculation-method-and-publication-description-to-enhance-research-reliability","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/missing-rate-calculation-method-and-publication-description-to-enhance-research-reliability\/","title":{"rendered":"\u6b20\u6e2c\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u8ad6\u6587\u3078\u306e\u8a18\u8f09\u65b9\u6cd5\uff1a\u7814\u7a76\u306e\u4fe1\u983c\u6027\u3092\u9ad8\u3081\u308b\u305f\u3081\u306b"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u7814\u7a76\u30c7\u30fc\u30bf\u306b\u306f\u3001\u3057\u3070\u3057\u3070\u300c\u6b20\u6e2c\u5024\uff08Missing Values\uff09\u300d\u3068\u3044\u3046\u554f\u984c\u304c\u3064\u304d\u307e\u3068\u3046\u3002\u3053\u306e\u6b20\u6e2c\u5024\u3092\u9069\u5207\u306b\u51e6\u7406\u3059\u308b\u3053\u3068\u306f\u3001\u7814\u7a76\u7d50\u679c\u306e\u4fe1\u983c\u6027\u3084\u59a5\u5f53\u6027\u3092\u78ba\u4fdd\u3059\u308b\u305f\u3081\u306b\u4e0d\u53ef\u6b20\u3067\u3042\u308b\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u6b20\u6e2c\u7387\u306e\u57fa\u672c\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u304b\u3089\u3001\u7d71\u8a08\u89e3\u6790\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2R\u3092\u7528\u3044\u305f\u5177\u4f53\u7684\u306a\u8a08\u7b97\u4f8b\u3001\u305d\u3057\u3066\u8ad6\u6587\u306b\u6b20\u6e2c\u72b6\u6cc1\u3092\u3069\u306e\u3088\u3046\u306b\u8a18\u8f09\u3059\u3079\u304d\u304b\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u3059\u308b\u3002\u7814\u7a76\u30c7\u30fc\u30bf\u306e\u8cea\u3092\u9ad8\u3081\u3001\u8aac\u5f97\u529b\u306e\u3042\u308b\u8ad6\u6587\u3092\u4f5c\u6210\u3059\u308b\u305f\u3081\u306e\u4e00\u52a9\u3068\u306a\u308c\u3070\u5e78\u3044\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">\u6982\u8981<\/h2>\n\n\n\n<p><strong>\u6b20\u6e2c\u7387<\/strong>\u3068\u306f\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u306e\u3046\u3061\u3001\u7279\u5b9a\u306e\u5909\u6570\u3084\u89b3\u6e2c\u5024\u306b\u304a\u3044\u3066\u30c7\u30fc\u30bf\u304c\u5b58\u5728\u3057\u306a\u3044\uff08\u6b20\u640d\u3057\u3066\u3044\u308b\uff09\u5272\u5408\u3092\u793a\u3059\u6307\u6a19\u3067\u3042\u308b\u3002\u6b20\u6e2c\u7387\u3092\u6b63\u78ba\u306b\u628a\u63e1\u3059\u308b\u3053\u3068\u306f\u3001\u6b20\u6e2c\u30e1\u30ab\u30cb\u30ba\u30e0\u306e\u63a8\u6e2c\u3084\u9069\u5207\u306a\u6b20\u6e2c\u5024\u51e6\u7406\u65b9\u6cd5\u306e\u9078\u629e\u3001\u3055\u3089\u306b\u306f\u7d50\u679c\u306e\u89e3\u91c8\u306b\u5927\u304d\u306a\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u3002<\/p>\n\n\n\n<p>\u6b20\u6e2c\u7387\u306f\u3001\u901a\u5e38\u4ee5\u4e0b\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u5f0f\u3067\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>$$ \\text{\u6b20\u6e2c\u7387 (%)} = \\frac{\\text{\u6b20\u6e2c\u5024\u306e\u6570\u200b}}{\\text{\u5168\u89b3\u6e2c\u5024\u306e\u6570}} \\times 100 $$<\/p>\n\n\n\n<p>\u3053\u306e\u8a08\u7b97\u306f\u3001\u5909\u6570\u3054\u3068\u306b\u884c\u3046\u3053\u3068\u3082\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u3067\u884c\u3046\u3053\u3068\u3082\u53ef\u80fd\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5177\u4f53\u4f8b<\/h2>\n\n\n\n<p>\u3042\u308b\u5065\u5eb7\u8abf\u67fb\u306b\u304a\u3044\u3066\u3001\u5e74\u9f62\u3001\u6027\u5225\u3001BMI\u3001\u55ab\u7159\u7fd2\u6163\u3001\u904b\u52d5\u7fd2\u6163\u306e5\u3064\u306e\u5909\u6570\u306b\u3064\u3044\u3066100\u4eba\u306e\u56de\u7b54\u8005\u304b\u3089\u30c7\u30fc\u30bf\u3092\u53ce\u96c6\u3057\u305f\u3068\u3059\u308b\u3002\u3053\u306e\u3046\u3061\u3001BMI\u306e\u30c7\u30fc\u30bf\u304c5\u4eba\u3001\u904b\u52d5\u7fd2\u6163\u306e\u30c7\u30fc\u30bf\u304c10\u4eba\u5206\u6b20\u640d\u3057\u3066\u3044\u305f\u5834\u5408\u3092\u8003\u3048\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5168\u89b3\u6e2c\u5024\u306e\u6570\uff08\u5404\u5909\u6570\uff09<\/strong>: 100\u4eba<\/li>\n\n\n\n<li><strong>BMI\u306e\u6b20\u6e2c\u5024\u306e\u6570<\/strong>: 5\u4eba<\/li>\n\n\n\n<li><strong>\u904b\u52d5\u7fd2\u6163\u306e\u6b20\u6e2c\u5024\u306e\u6570<\/strong>: 10\u4eba<\/li>\n<\/ul>\n\n\n\n<div id=\"biost-4098255907\" 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\">\u5177\u4f53\u4f8b\u306eR\u3067\u306e\u8a08\u7b97\u4f8b<\/h2>\n\n\n\n<p>R\u3092\u4f7f\u3063\u3066\u4e0a\u8a18\u306e\u6b20\u6e2c\u7387\u3092\u8a08\u7b97\u3057\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u3001\u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bf\u3092\u4f5c\u6210\u3059\u308b\u3002<\/p>\n\n\n\n<p><strong>R \u30b9\u30af\u30ea\u30d7\u30c8\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bf\u306e\u4f5c\u6210\nset.seed(123) # \u518d\u73fe\u6027\u306e\u305f\u3081\u306e\u30b7\u30fc\u30c9\u8a2d\u5b9a\ndata &lt;- data.frame(\n    Age = round(sample(20:70, 100, replace = TRUE)),\n    Gender = sample(c(\"Male\", \"Female\"), 100, replace = TRUE),\n    BMI = round(rnorm(100, mean = 23, sd = 3), 1),\n    Smoking = sample(c(\"Yes\", \"No\"), 100, replace = TRUE),\n    Exercise = sample(c(\"Yes\", \"No\"), 100, replace = TRUE)\n)\n\n# \u6b20\u6e2c\u5024\u3092\u610f\u56f3\u7684\u306b\u751f\u6210\ndata$BMI&#91;sample(1:100, 5)] &lt;- NA # BMI\u306b5\u3064\u306e\u6b20\u6e2c\u5024\ndata$Exercise&#91;sample(1:100, 10)] &lt;- NA # Exercise\u306b10\u306e\u6b20\u6e2c\u5024\n\n# \u5909\u6570\u3054\u3068\u306e\u6b20\u6e2c\u7387\u3092\u8a08\u7b97\nmissing_rate_bmi &lt;- sum(is.na(data$BMI)) \/ nrow(data) * 100\nmissing_rate_exercise &lt;- sum(is.na(data$Exercise)) \/ nrow(data) * 100\n\ncat(\"BMI\u306e\u6b20\u6e2c\u7387:\", round(missing_rate_bmi, 2), \"%\\n\")\ncat(\"\u904b\u52d5\u7fd2\u6163\u306e\u6b20\u6e2c\u7387:\", round(missing_rate_exercise, 2), \"%\\n\")\n\n# \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u306e\u6b20\u6e2c\u7387\uff08\u500b\u3005\u306e\u5024\u306e\u6b20\u6e2c\u7387\uff09\ntotal_missing_values &lt;- sum(is.na(data))\ntotal_observations &lt;- prod(dim(data)) # \u884c\u6570 * \u5217\u6570\noverall_missing_rate &lt;- total_missing_values \/ total_observations * 100\n\ncat(\"\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u306e\u6b20\u6e2c\u7387:\", round(overall_missing_rate, 2), \"%\\n\")\n\n# \u5404\u5909\u6570\u306e\u6b20\u6e2c\u6570\u3092\u4e00\u62ec\u3067\u78ba\u8a8d\u3059\u308b\nlibrary(naniar) # \u6b20\u6e2c\u5024\u51e6\u7406\u306b\u4fbf\u5229\u306a\u30d1\u30c3\u30b1\u30fc\u30b8\n# install.packages(\"naniar\") # \u5fc5\u8981\u3067\u3042\u308c\u3070\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u3066\u304f\u3060\u3055\u3044\n\nmiss_var_summary(data)\n<\/code><\/pre>\n\n\n\n<p><strong>\u5b9f\u884c\u7d50\u679c:<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> cat(\"BMI\u306e\u6b20\u6e2c\u7387:\", round(missing_rate_bmi, 2), \"%\\n\")\nBMI\u306e\u6b20\u6e2c\u7387: 5 %\n> cat(\"\u904b\u52d5\u7fd2\u6163\u306e\u6b20\u6e2c\u7387:\", round(missing_rate_exercise, 2), \"%\\n\")\n\u904b\u52d5\u7fd2\u6163\u306e\u6b20\u6e2c\u7387: 10 %\n> cat(\"\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u306e\u6b20\u6e2c\u7387:\", round(overall_missing_rate, 2), \"%\\n\")\n\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u306e\u6b20\u6e2c\u7387: 3 %\n\n> miss_var_summary(data)\n# A tibble: 5 \u00d7 3\n  variable n_miss pct_miss\n  &lt;chr>     &lt;int>    &lt;num>\n1 Exercise     10       10\n2 BMI           5        5\n3 Age           0        0\n4 Gender        0        0\n5 Smoking       0        0<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7d50\u679c\u89e3\u91c8<\/h2>\n\n\n\n<p>\u4e0a\u8a18\u306e\u4f8b\u3067\u306f\u3001BMI\u306e\u6b20\u6e2c\u7387\u304c5%\u3001\u904b\u52d5\u7fd2\u6163\u306e\u6b20\u6e2c\u7387\u304c10%\u3067\u3042\u3063\u305f\u3002\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u306e\u6b20\u6e2c\u7387\u306f\u3001\u5168\u30c7\u30fc\u30bf\u30dd\u30a4\u30f3\u30c8\uff08100\u4eba \u00d7 5\u5909\u6570 = 500\u70b9\uff09\u306b\u5bfe\u3059\u308b\u6b20\u6e2c\u5024\u306e\u5408\u8a08\u6570\uff085 + 10 = 15\u70b9\uff09\u306e\u5272\u5408\u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u30013%\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u6b20\u6e2c\u7387\u306e\u9ad8\u3055\u306f\u3001\u305d\u306e\u5f8c\u306e\u5206\u6790\u306e\u4fe1\u983c\u6027\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3002\u4e00\u822c\u7684\u306b\u3001\u6b20\u6e2c\u7387\u304c5%\u672a\u6e80\u3067\u3042\u308c\u3070\u554f\u984c\u304c\u5c11\u306a\u3044\u3068\u3055\u308c\u308b\u304c\u30015%\u3092\u8d85\u3048\u308b\u3068\u6b20\u6e2c\u5024\u51e6\u7406\u306e\u5fc5\u8981\u6027\u304c\u9ad8\u307e\u308a\u300110%\u3092\u8d85\u3048\u308b\u3068\u614e\u91cd\u306a\u691c\u8a0e\u304c\u5fc5\u8981\u3068\u306a\u308b\u3002\u305f\u3060\u3057\u3001\u3053\u308c\u306f\u3042\u304f\u307e\u3067\u4e00\u822c\u7684\u306a\u76ee\u5b89\u3067\u3042\u308a\u3001\u7814\u7a76\u5206\u91ce\u3084\u30c7\u30fc\u30bf\u306e\u5185\u5bb9\u306b\u3088\u3063\u3066\u89e3\u91c8\u306f\u7570\u306a\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u8ad6\u6587\u3078\u306e\u66f8\u304d\u65b9<\/h2>\n\n\n\n<p>\u8ad6\u6587\u306b\u304a\u3044\u3066\u6b20\u6e2c\u72b6\u6cc1\u3092\u660e\u78ba\u306b\u8a18\u8f09\u3059\u308b\u3053\u3068\u306f\u3001\u7814\u7a76\u306e\u900f\u660e\u6027\u3068\u518d\u73fe\u6027\u3092\u9ad8\u3081\u308b\u4e0a\u3067\u975e\u5e38\u306b\u91cd\u8981\u3067\u3042\u308b\u3002\u4ee5\u4e0b\u306e\u8981\u7d20\u3092\u542b\u3081\u308b\u3053\u3068\u304c\u63a8\u5968\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>\u6b20\u6e2c\u72b6\u6cc1\u306e\u5168\u4f53\u50cf<\/strong>:\n<ul class=\"wp-block-list\">\n<li>\u300c\u672c\u7814\u7a76\u3067\u306f\u3001\u30c7\u30fc\u30bf\u53ce\u96c6\u306b\u304a\u3044\u3066\u4e00\u90e8\u6b20\u6e2c\u5024\u304c\u8a8d\u3081\u3089\u308c\u305f\u3002\u300d\u306a\u3069\u3001\u7c21\u6f54\u306b\u6b20\u6e2c\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u8ff0\u3079\u308b\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5404\u5909\u6570\u306e\u6b20\u6e2c\u7387<\/strong>:\n<ul class=\"wp-block-list\">\n<li>\u4e3b\u8981\u306a\u5909\u6570\u3084\u89e3\u6790\u306b\u7528\u3044\u308b\u5909\u6570\u306b\u3064\u3044\u3066\u3001\u305d\u308c\u305e\u308c\u306e\u6b20\u6e2c\u6570\u3068\u6b20\u6e2c\u7387\u3092\u8a18\u8f09\u3059\u308b\u3002\u8868\u5f62\u5f0f\u3067\u793a\u3059\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3001\u8996\u899a\u7684\u306b\u3082\u5206\u304b\u308a\u3084\u3059\u304f\u306a\u308b\u3002<\/li>\n\n\n\n<li>\u4f8b\uff1a\u300c\u88681\u306b\u5404\u5909\u6570\u306e\u8a18\u8ff0\u7d71\u8a08\u91cf\u304a\u3088\u3073\u6b20\u6e2c\u72b6\u6cc1\u3092\u793a\u3059\u3002BMI\u306f5\u540d\uff085.0%\uff09\u3001\u904b\u52d5\u7fd2\u6163\u306f10\u540d\uff0810.0%\uff09\u306e\u6b20\u6e2c\u304c\u8a8d\u3081\u3089\u308c\u305f\u3002\u300d<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6b20\u6e2c\u30e1\u30ab\u30cb\u30ba\u30e0\u306b\u95a2\u3059\u308b\u8003\u5bdf\uff08\u3082\u3057\u53ef\u80fd\u3067\u3042\u308c\u3070\uff09<\/strong>:\n<ul class=\"wp-block-list\">\n<li>\u6b20\u6e2c\u304c\u30e9\u30f3\u30c0\u30e0\u306b\u767a\u751f\u3057\u3066\u3044\u308b\u306e\u304b\uff08MCAR: Missing Completely at Random, MAR: Missing at Random\uff09\u3001\u3042\u308b\u3044\u306f\u7279\u5b9a\u306e\u8981\u56e0\u306b\u57fa\u3065\u3044\u3066\u767a\u751f\u3057\u3066\u3044\u308b\u306e\u304b\uff08MNAR: Missing Not at Random\uff09\u306b\u3064\u3044\u3066\u3001\u8003\u5bdf\u3092\u8ff0\u3079\u308b\u3053\u3068\u304c\u671b\u307e\u3057\u3044\u3002\u305f\u3060\u3057\u3001MNAR\u306e\u5224\u65ad\u306f\u56f0\u96e3\u306a\u5834\u5408\u304c\u591a\u3044\u3002<\/li>\n\n\n\n<li>\u4f8b\uff1a\u300c\u6b20\u6e2c\u5024\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u691c\u8a3c\u3057\u305f\u7d50\u679c\u3001BMI\u306e\u6b20\u6e2c\u306f\u7279\u5b9a\u306e\u5c5e\u6027\u306b\u504f\u308a\u304c\u306a\u3044\u3053\u3068\u304b\u3089\u3001MCAR\u306b\u8fd1\u3044\u72b6\u614b\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u305f\u3002\u300d<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6b20\u6e2c\u5024\u51e6\u7406\u65b9\u6cd5<\/strong>:\n<ul class=\"wp-block-list\">\n<li>\u6b20\u6e2c\u5024\u306b\u5bfe\u3057\u3066\u3069\u306e\u3088\u3046\u306a\u51e6\u7406\u3092\u884c\u3063\u305f\u304b\u3092\u5177\u4f53\u7684\u306b\u8a18\u8f09\u3059\u308b\u3002\n<ul class=\"wp-block-list\">\n<li><strong>\u524a\u9664\u6cd5 (Deletion)<\/strong>: \u30ea\u30b9\u30c8\u30ef\u30a4\u30ba\u524a\u9664 (Listwise Deletion)\u3001\u30da\u30a2\u30ef\u30a4\u30ba\u524a\u9664 (Pairwise Deletion)<\/li>\n\n\n\n<li><strong>\u88dc\u5b8c\u6cd5 (Imputation)<\/strong>: \u5e73\u5747\u5024\u88dc\u5b8c\u3001\u4e2d\u592e\u5024\u88dc\u5b8c\u3001\u6700\u983b\u5024\u88dc\u5b8c\u3001\u56de\u5e30\u88dc\u5b8c\u3001\u591a\u91cd\u4ee3\u5165\u6cd5 (Multiple Imputation) \u306a\u3069<\/li>\n\n\n\n<li><strong>\u76f4\u63a5\u30e2\u30c7\u30eb\u5316\u6cd5<\/strong>: \u6700\u5927\u5c24\u5ea6\u6cd5 (Full Information Maximum Likelihood; FIML) \u306a\u3069<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u9078\u629e\u3057\u305f\u65b9\u6cd5\u306e\u7406\u7531\u3082\u7c21\u6f54\u306b\u8ff0\u3079\u308b\u3068\u826f\u3044\u3060\u308d\u3046\u3002<\/li>\n\n\n\n<li>\u4f8b\uff1a\u300c\u6b20\u6e2c\u5024\u51e6\u7406\u306b\u306f\u3001\u591a\u91cd\u4ee3\u5165\u6cd5\uff08MICE\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u7528\u300150\u56de\u306e\u4ee3\u5165\uff09\u3092\u7528\u3044\u305f\u3002\u300d<\/li>\n\n\n\n<li>\u4f8b\uff1a\u300c\u672c\u7814\u7a76\u3067\u306f\u3001\u6b20\u6e2c\u7387\u304c\u4f4e\u304fMCAR\u306e\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u3068\u5224\u65ad\u3055\u308c\u305f\u305f\u3081\u3001\u30ea\u30b9\u30c8\u30ef\u30a4\u30ba\u524a\u9664\u3092\u884c\u3063\u305f\u3002\u300d<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u6700\u5927\u5c24\u5ea6\u6cd5 (Full Information Maximum Likelihood; FIML) \u3068\u306f<\/h3>\n\n\n\n<p><strong>\u6700\u5927\u5c24\u5ea6\u6cd5\uff08Full Information Maximum Likelihood; FIML\uff09<\/strong>\u306f\u3001\u6b20\u6e2c\u5024\u304c\u5b58\u5728\u3059\u308b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u304a\u3044\u3066\u3001\u7d71\u8a08\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u63a8\u5b9a\u3059\u308b\u305f\u3081\u306e\u9ad8\u5ea6\u306a\u624b\u6cd5\u306e\u4e00\u3064\u3067\u3042\u308b\u3002\u3053\u308c\u306f\u3001\u6b20\u6e2c\u5024\u306e\u3042\u308b\u884c\u3084\u30b1\u30fc\u30b9\u3092\u5358\u306b\u524a\u9664\u3059\u308b\uff08\u30ea\u30b9\u30c8\u30ef\u30a4\u30ba\u524a\u9664\uff09\u306e\u3067\u306f\u306a\u304f\u3001<strong>\u5229\u7528\u53ef\u80fd\u306a\u3059\u3079\u3066\u306e\u60c5\u5831\u3092\u7528\u3044\u3066\u3001\u6700\u3082\u3089\u3057\u3044\uff08\u5c24\u3082\u3089\u3057\u3044\uff09\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u63a8\u5b9a\u3057\u3088\u3046\u3068\u3059\u308b<\/strong>\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p><strong>\u6700\u5927\u5c24\u5ea6\u6cd5\u306e\u57fa\u672c\u7684\u306a\u8003\u3048\u65b9:<\/strong><\/p>\n\n\n\n<p>FIML\u306f\u3001\u300c\u5b8c\u5168\u60c5\u5831\u300d\u6700\u5927\u5c24\u5ea6\u6cd5\u3068\u3082\u547c\u3070\u308c\u308b\u3088\u3046\u306b\u3001\u5404\u89b3\u6e2c\u5024\u304c\u6301\u3064\u3059\u3079\u3066\u306e\u5229\u7528\u53ef\u80fd\u306a\u30c7\u30fc\u30bf\u30dd\u30a4\u30f3\u30c8\u3092\u6700\u5927\u9650\u306b\u6d3b\u7528\u3059\u308b\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u30c7\u30fc\u30bf\u5168\u4f53\u306e\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff08\u5c24\u5ea6\u95a2\u6570\uff09\u3092\u69cb\u7bc9\u3057\u3001\u305d\u306e\u5c24\u5ea6\u95a2\u6570\u304c\u6700\u5927\u306b\u306a\u308b\u3088\u3046\u306a\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\uff08\u4f8b\uff1a\u5e73\u5747\u3001\u5206\u6563\u3001\u56de\u5e30\u4fc2\u6570\u306a\u3069\uff09\u3092\u63a8\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u6b20\u6e2c\u5024\u304c\u3042\u308b\u5834\u5408\u3001\u305d\u306e\u89b3\u6e2c\u5024\u306e\u5c24\u5ea6\u95a2\u6570\u306f\u3001\u89b3\u6e2c\u3055\u308c\u3066\u3044\u308b\u30c7\u30fc\u30bf\u306e\u307f\u306b\u57fa\u3065\u3044\u3066\u8a08\u7b97\u3055\u308c\u308b\u3002\u3064\u307e\u308a\u3001\u6b20\u6e2c\u5024\u304c\u5b58\u5728\u3059\u308b\u884c\u3067\u3042\u3063\u3066\u3082\u3001\u89b3\u6e2c\u3055\u308c\u3066\u3044\u308b\u90e8\u5206\u306e\u30c7\u30fc\u30bf\u306f\u63a8\u5b9a\u306b\u5229\u7528\u3055\u308c\u308b\u305f\u3081\u3001\u60c5\u5831\u306e\u640d\u5931\u304c\u6700\u5c0f\u9650\u306b\u6291\u3048\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<p><strong>FIML\u306e\u5229\u70b9:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u60c5\u5831\u306e\u6709\u52b9\u6d3b\u7528<\/strong>: \u30ea\u30b9\u30c8\u30ef\u30a4\u30ba\u524a\u9664\u306e\u3088\u3046\u306b\u3001\u6b20\u6e2c\u5024\u3092\u542b\u3080\u89b3\u6e2c\u5024\u3092\u4e38\u3054\u3068\u6368\u3066\u308b\u3053\u3068\u304c\u306a\u3044\u305f\u3081\u3001\u60c5\u5831\u306e\u640d\u5931\u304c\u5c11\u306a\u304f\u3001\u7d71\u8a08\u7684\u691c\u51fa\u529b\uff08\u30d1\u30ef\u30fc\uff09\u304c\u5411\u4e0a\u3059\u308b\u3002<\/li>\n\n\n\n<li><strong>\u30d0\u30a4\u30a2\u30b9\u306e\u8efd\u6e1b<\/strong>: MCAR (Missing Completely at Random) \u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u306a\u304f\u3066\u3082\u3001MAR (Missing at Random) \u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308c\u3070\u3001\u30d0\u30a4\u30a2\u30b9\u306e\u306a\u3044\uff08\u4e0d\u504f\u306a\uff09\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u63a8\u5b9a\u5024\u304c\u5f97\u3089\u308c\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u3002MAR\u3068\u306f\u3001\u300c\u6b20\u6e2c\u306e\u767a\u751f\u304c\u3001\u89b3\u6e2c\u3055\u308c\u3066\u3044\u308b\u4ed6\u306e\u5909\u6570\u306b\u3088\u3063\u3066\u8aac\u660e\u3067\u304d\u308b\u300d\u3068\u3044\u3046\u4eee\u5b9a\u3067\u3042\u308b\u3002<\/li>\n\n\n\n<li><strong>\u6a19\u6e96\u8aa4\u5dee\u306e\u6b63\u78ba\u306a\u63a8\u5b9a<\/strong>: \u6b20\u6e2c\u306e\u4e0d\u78ba\u5b9f\u6027\u3092\u8003\u616e\u306b\u5165\u308c\u305f\u6a19\u6e96\u8aa4\u5dee\u306e\u63a8\u5b9a\u304c\u53ef\u80fd\u3067\u3042\u308a\u3001\u3088\u308a\u4fe1\u983c\u6027\u306e\u9ad8\u3044P\u5024\u3084\u4fe1\u983c\u533a\u9593\u304c\u5f97\u3089\u308c\u308b\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>FIML\u306e\u6ce8\u610f\u70b9:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8a08\u7b97\u306e\u8907\u96d1\u3055<\/strong>: \u7279\u306b\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3084\u8907\u96d1\u306a\u30e2\u30c7\u30eb\u3067\u306f\u3001\u8a08\u7b97\u306b\u6642\u9593\u304c\u304b\u304b\u308a\u3001\u5c02\u9580\u7684\u306a\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\uff08R\u306e<code>lavaan<\/code>\u30d1\u30c3\u30b1\u30fc\u30b8\u3001Mplus\u3001SAS\u306a\u3069\uff09\u304c\u5fc5\u8981\u3068\u306a\u308b\u5834\u5408\u304c\u3042\u308b\u3002<\/li>\n\n\n\n<li><strong>MAR\u4eee\u5b9a\u306e\u91cd\u8981\u6027<\/strong>: FIML\u306fMAR\u306e\u4eee\u5b9a\u306b\u57fa\u3065\u3044\u3066\u3044\u308b\u3002\u3053\u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u306a\u3044\uff08MNAR: Missing Not at Random\uff09\u5834\u5408\u3001\u30d0\u30a4\u30a2\u30b9\u304c\u751f\u3058\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3002MNAR\u306f\u3001\u6b20\u6e2c\u306e\u767a\u751f\u304c\u6b20\u6e2c\u3057\u3066\u3044\u308b\u5024\u305d\u306e\u3082\u306e\u306b\u4f9d\u5b58\u3057\u3066\u3044\u308b\u72b6\u614b\u3067\u3042\u308a\u3001FIML\u3092\u542b\u3080\u307b\u3068\u3093\u3069\u306e\u6a19\u6e96\u7684\u306a\u6b20\u6e2c\u5024\u51e6\u7406\u6cd5\u3067\u306f\u9069\u5207\u306b\u5bfe\u5fdc\u3067\u304d\u306a\u3044\u3002<\/li>\n\n\n\n<li><strong>\u30e2\u30c7\u30eb\u6307\u5b9a\u306e\u91cd\u8981\u6027<\/strong>: FIML\u306f\u30e2\u30c7\u30eb\u30d9\u30fc\u30b9\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u3042\u308b\u305f\u3081\u3001\u9069\u5207\u306a\u7d71\u8a08\u30e2\u30c7\u30eb\u304c\u6307\u5b9a\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3042\u308b\u3002\u30e2\u30c7\u30eb\u304c\u4e0d\u9069\u5207\u3060\u3068\u3001\u63a8\u5b9a\u5024\u306b\u30d0\u30a4\u30a2\u30b9\u304c\u751f\u3058\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3002<\/li>\n<\/ul>\n\n\n\n<p>FIML\u306f\u3001\u69cb\u9020\u65b9\u7a0b\u5f0f\u30e2\u30c7\u30ea\u30f3\u30b0\uff08SEM\uff09\u306a\u3069\u306e\u591a\u5909\u91cf\u89e3\u6790\u306e\u5206\u91ce\u3067\u5e83\u304f\u5229\u7528\u3055\u308c\u3066\u304a\u308a\u3001\u6b20\u6e2c\u5024\u306e\u53d6\u308a\u6271\u3044\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u5f37\u529b\u306a\u624b\u6cd5\u3068\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p><strong>\u8a18\u8f09\u4f8b\uff08\u8ad6\u6587\u306e\u300c\u65b9\u6cd5\u300d\u30bb\u30af\u30b7\u30e7\u30f3\u306a\u3069\uff09:<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u30c7\u30fc\u30bf\u306e\u6b20\u6e2c\u3068\u51e6\u7406<\/p>\n\n\n\n<p>\u672c\u7814\u7a76\u3067\u53ce\u96c6\u3057\u305f\u30c7\u30fc\u30bf\u306b\u306f\u4e00\u90e8\u6b20\u6e2c\u5024\u304c\u542b\u307e\u308c\u3066\u3044\u305f\u3002\u7279\u306b\u3001BMI\u5909\u6570\u306b\u304a\u3044\u30665\u540d\uff085.0%\uff09\u3001\u904b\u52d5\u7fd2\u6163\u5909\u6570\u306b\u304a\u3044\u306610\u540d\uff0810.0%\uff09\u306e\u6b20\u6e2c\u304c\u78ba\u8a8d\u3055\u308c\u305f\u3002\u305d\u306e\u4ed6\u306e\u5909\u6570\u306b\u306f\u6b20\u6e2c\u306f\u8a8d\u3081\u3089\u308c\u306a\u304b\u3063\u305f\uff08\u88681\u53c2\u7167\uff09\u3002\u6b20\u6e2c\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u691c\u8a0e\u3057\u305f\u7d50\u679c\u3001\u6b20\u6e2c\u306f\u89b3\u6e2c\u3055\u308c\u3066\u3044\u308b\u5909\u6570\u306b\u3088\u3063\u3066\u8aac\u660e\u3067\u304d\u308b\u30e9\u30f3\u30c0\u30e0\u306a\u6b20\u6e2c\uff08MAR\uff09\u3067\u3042\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u3068\u5224\u65ad\u3055\u308c\u305f\u3002\u305d\u306e\u305f\u3081\u3001\u7d71\u8a08\u89e3\u6790\u306b\u306f\u3001\u6b20\u6e2c\u5024\u3092\u542b\u3080\u3059\u3079\u3066\u306e\u60c5\u5831\u3092\u6d3b\u7528\u3067\u304d\u308b\u6700\u5927\u5c24\u5ea6\u6cd5\uff08Full Information Maximum Likelihood; FIML\uff09\u3092\u63a1\u7528\u3057\u305f\u3002FIML\u306f\u3001\u6b20\u6e2c\u5024\u304c\u5b58\u5728\u3059\u308b\u30c7\u30fc\u30bf\u306b\u304a\u3044\u3066\u3082\u3001\u5229\u7528\u53ef\u80fd\u306a\u30c7\u30fc\u30bf\u304b\u3089\u6700\u3082\u5c24\u3082\u3089\u3057\u3044\u30e2\u30c7\u30eb\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u63a8\u5b9a\u3059\u308b\u624b\u6cd5\u3067\u3042\u308a\u3001\u60c5\u5831\u306e\u640d\u5931\u3092\u6700\u5c0f\u9650\u306b\u6291\u3048\u3001\u30d0\u30a4\u30a2\u30b9\u306e\u306a\u3044\u63a8\u5b9a\u5024\u3092\u5f97\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3002<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u6b20\u6e2c\u7387\u306e\u8a08\u7b97\u3068\u8ad6\u6587\u3078\u306e\u9069\u5207\u306a\u8a18\u8f09\u306f\u3001\u7814\u7a76\u306e\u8cea\u3092\u5411\u4e0a\u3055\u305b\u308b\u4e0a\u3067\u4e0d\u53ef\u6b20\u306a\u30b9\u30c6\u30c3\u30d7\u3067\u3042\u308b\u3002\u6b63\u78ba\u306a\u6b20\u6e2c\u7387\u306e\u628a\u63e1\u306f\u3001\u30c7\u30fc\u30bf\u306e\u554f\u984c\u70b9\u3092\u660e\u3089\u304b\u306b\u3057\u3001\u9069\u5207\u306a\u6b20\u6e2c\u5024\u51e6\u7406\u65b9\u6cd5\u3092\u9078\u629e\u3059\u308b\u305f\u3081\u306e\u7b2c\u4e00\u6b69\u3068\u306a\u308b\u3002\u305d\u3057\u3066\u3001\u305d\u306e\u72b6\u6cc1\u3068\u51e6\u7406\u65b9\u6cd5\u3092\u8ad6\u6587\u3067\u660e\u78ba\u306b\u8a18\u8ff0\u3059\u308b\u3053\u3068\u306f\u3001\u7814\u7a76\u306e\u900f\u660e\u6027\u3068\u4fe1\u983c\u6027\u3092\u62c5\u4fdd\u3057\u3001\u8aad\u8005\u304c\u7814\u7a76\u7d50\u679c\u3092\u3088\u308a\u6df1\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u8ca2\u732e\u3059\u308b\u3002\u81ea\u8eab\u306e\u7814\u7a76\u306e\u4fe1\u983c\u6027\u3092\u9ad8\u3081\u308b\u305f\u3081\u306b\u3082\u3001\u672c\u8a18\u4e8b\u306e\u5185\u5bb9\u3092\u53c2\u8003\u306b\u3001\u6b20\u6e2c\u5024\u306b\u4e01\u5be7\u306b\u5411\u304d\u5408\u3063\u3066\u307b\u3057\u3044\u3002<\/p>\n\n\n\n<hr 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