{"id":4141,"date":"2025-07-06T11:59:17","date_gmt":"2025-07-06T02:59:17","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/?p=4141"},"modified":"2025-07-06T11:59:20","modified_gmt":"2025-07-06T02:59:20","slug":"mediator-factor-variable-analysis-explained-exploring-data-analysis-depth","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/mediator-factor-variable-analysis-explained-exploring-data-analysis-depth\/","title":{"rendered":"\u5a92\u4ecb\u56e0\u5b50\u3001\u5a92\u4ecb\u5909\u6570\u3001\u5a92\u4ecb\u5206\u6790\u3092\u5fb9\u5e95\u89e3\u8aac\uff01 \u30c7\u30fc\u30bf\u5206\u6790\u306e\u5965\u6df1\u3055\u3092\u77e5\u308b"},"content":{"rendered":"\n<p>\u30c7\u30fc\u30bf\u5206\u6790\u3092\u9032\u3081\u308b\u4e0a\u3067\u3001\u300c\u3042\u308b\u539f\u56e0\u304c\u7d50\u679c\u306b\u3069\u3046\u5f71\u97ff\u3059\u308b\u304b\u300d\u3092\u76f4\u63a5\u7684\u306b\u898b\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u305d\u306e\u9593\u306b\u5b58\u5728\u3059\u308b\u300c\u5225\u306e\u8981\u56e0\u300d\u306e\u5b58\u5728\u3092\u610f\u8b58\u3059\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u91cd\u8981\u3060\u3002\u3053\u306e\u300c\u5225\u306e\u8981\u56e0\u300d\u304c\u3001\u3068\u304d\u306b\u539f\u56e0\u3068\u7d50\u679c\u306e\u95a2\u4fc2\u6027\u3092\u3088\u308a\u6df1\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u9375\u3068\u306a\u308b\u3002\u4eca\u56de\u306f\u3001\u3053\u306e\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3042\u308b\u300c<strong>\u5a92\u4ecb\u56e0\u5b50\uff08\u30e1\u30c7\u30a3\u30a8\u30fc\u30bf\u30fc\uff09<\/strong>\u300d\u3001\u300c<strong>\u5a92\u4ecb\u5909\u6570\uff08\u5a92\u4ecb\u56e0\u5b50\u3092\u7d71\u8a08\u7684\u306b\u6271\u3046\u969b\u306e\u5909\u6570\uff09<\/strong>\u300d\u3001\u305d\u3057\u3066\u305d\u308c\u3089\u3092\u5206\u6790\u3059\u308b\u624b\u6cd5\u3067\u3042\u308b\u300c<strong>\u5a92\u4ecb\u5206\u6790<\/strong>\u300d\u306b\u3064\u3044\u3066\u3001\u5206\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3057\u3066\u3044\u304f\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">\u6982\u8981<\/h2>\n\n\n\n<p>\u5a92\u4ecb\u56e0\u5b50\u3001\u5a92\u4ecb\u5909\u6570\u3001\u5a92\u4ecb\u5206\u6790\u306f\u3001\u56e0\u679c\u95a2\u4fc2\u3092\u3088\u308a\u8a73\u7d30\u306b\u89e3\u660e\u3059\u308b\u305f\u3081\u306e\u7d71\u8a08\u7684\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u3042\u308b\u3002\u5358\u7d14\u306a\u539f\u56e0\u3068\u7d50\u679c\u306e\u95a2\u4fc2\u6027\u3060\u3051\u3067\u306a\u304f\u3001\u305d\u306e\u9593\u306b\u4ecb\u5728\u3059\u308b\u30e1\u30ab\u30cb\u30ba\u30e0\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u6df1\u3044\u6d1e\u5bdf\u3092\u5f97\u3089\u308c\u308b\u3002\u4f8b\u3048\u3070\u3001\u30de\u30fc\u30b1\u30c6\u30a3\u30f3\u30b0\u65bd\u7b56\u304c\u58f2\u4e0a\u3092\u5897\u52a0\u3055\u305b\u308b\u3068\u3057\u3001\u305d\u306e\u9593\u306b\u9867\u5ba2\u6e80\u8db3\u5ea6\u304c\u5a92\u4ecb\u3057\u3066\u3044\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u3042\u308b\u3044\u306f\u3001\u6559\u80b2\u30d7\u30ed\u30b0\u30e9\u30e0\u304c\u5b66\u696d\u6210\u7e3e\u3092\u5411\u4e0a\u3055\u305b\u308b\u3068\u3057\u3001\u305d\u306e\u9593\u306b\u5b66\u7fd2\u610f\u6b32\u304c\u5a92\u4ecb\u3057\u3066\u3044\u308b\u53ef\u80fd\u6027\u3082\u8003\u3048\u3089\u308c\u308b\u3002\u3053\u308c\u3089\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u5358\u306a\u308b\u76f8\u95a2\u95a2\u4fc2\u306b\u7559\u307e\u3089\u306a\u3044\u3001\u3088\u308a\u5b9f\u7528\u7684\u306a\u77e5\u898b\u3092\u7372\u5f97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u7528\u8a9e\u306e\u6574\u7406<\/h3>\n\n\n\n<p>\u307e\u305a\u306f\u3001\u6df7\u540c\u3057\u3084\u3059\u3044\u7528\u8a9e\u3092\u6574\u7406\u3057\u3088\u3046\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5a92\u4ecb\u56e0\u5b50\uff08Mediator\uff09\u3042\u308b\u539f\u56e0\u304c\u7d50\u679c\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u969b\u306b\u3001\u305d\u306e\u56e0\u679c\u95a2\u4fc2\u3092\u300c\u4ef2\u4ecb\u300d\u3059\u308b\u56e0\u5b50\u3092\u6307\u3059\u3002\u539f\u56e0\u306b\u3088\u3063\u3066\u5f15\u304d\u8d77\u3053\u3055\u308c\u3001\u305d\u306e\u5a92\u4ecb\u56e0\u5b50\u304c\u7d50\u679c\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u3001\u3068\u3044\u3046\u9023\u9396\u7684\u306a\u95a2\u4fc2\u6027\u306e\u4e2d\u306b\u4f4d\u7f6e\u3059\u308b\u3002\u4f8b\u3048\u3070\u3001\u300c\u904b\u52d5\u300d\u304c\u300c\u4f53\u91cd\u6e1b\u5c11\u300d\u306b\u7e4b\u304c\u308b\u3068\u3057\u3001\u305d\u306e\u9593\u306b\u300c\u6d88\u8cbb\u30ab\u30ed\u30ea\u30fc\u306e\u5897\u52a0\u300d\u3068\u3044\u3046\u5a92\u4ecb\u56e0\u5b50\u304c\u5b58\u5728\u3059\u308b\u3068\u8003\u3048\u3089\u308c\u308b\u3002\u904b\u52d5\u304c\u6d88\u8cbb\u30ab\u30ed\u30ea\u30fc\u3092\u5897\u3084\u3057\u3001\u305d\u306e\u6d88\u8cbb\u30ab\u30ed\u30ea\u30fc\u306e\u5897\u52a0\u304c\u4f53\u91cd\u6e1b\u5c11\u306b\u7e4b\u304c\u308b\u3001\u3068\u3044\u3046\u308f\u3051\u3060\u3002<\/li>\n\n\n\n<li>\u5a92\u4ecb\u5909\u6570\uff08Mediator Variable\uff09\u5a92\u4ecb\u56e0\u5b50\u3092\u7d71\u8a08\u30e2\u30c7\u30eb\u4e0a\u3067\u8868\u73fe\u3059\u308b\u969b\u306e\u5909\u6570\u3092\u6307\u3059\u3002\u6982\u5ff5\u3068\u3057\u3066\u306e\u5a92\u4ecb\u56e0\u5b50\u3092\u3001\u5b9f\u969b\u306b\u30c7\u30fc\u30bf\u5206\u6790\u3067\u6271\u3048\u308b\u5f62\u306b\u3057\u305f\u3082\u306e\u3060\u3002\u7d71\u8a08\u7684\u306a\u5206\u6790\u3092\u884c\u3046\u969b\u306b\u306f\u3001\u3053\u306e\u5a92\u4ecb\u5909\u6570\u3092\u30e2\u30c7\u30eb\u306b\u7d44\u307f\u8fbc\u3093\u3067\u89e3\u6790\u3092\u884c\u3046\u3002<\/li>\n\n\n\n<li>\u5a92\u4ecb\u5206\u6790\uff08Mediation Analysis\uff09\u5a92\u4ecb\u56e0\u5b50\uff08\u5a92\u4ecb\u5909\u6570\uff09\u304c\u3001\u72ec\u7acb\u5909\u6570\uff08\u539f\u56e0\uff09\u3068\u5f93\u5c5e\u5909\u6570\uff08\u7d50\u679c\uff09\u306e\u95a2\u4fc2\u306b\u3069\u306e\u7a0b\u5ea6\u5f71\u97ff\u3092\u4e0e\u3048\u3066\u3044\u308b\u304b\u3092\u7d71\u8a08\u7684\u306b\u8a55\u4fa1\u3059\u308b\u5206\u6790\u624b\u6cd5\u3067\u3042\u308b\u3002\u76f4\u63a5\u52b9\u679c\uff08\u5a92\u4ecb\u56e0\u5b50\u3092\u4ecb\u3055\u306a\u3044\u76f4\u63a5\u7684\u306a\u5f71\u97ff\uff09\u3068\u9593\u63a5\u52b9\u679c\uff08\u5a92\u4ecb\u56e0\u5b50\u3092\u4ecb\u3057\u305f\u5f71\u97ff\uff09\u3092\u533a\u5225\u3057\u3001\u305d\u308c\u305e\u308c\u306e\u52b9\u679c\u306e\u5927\u304d\u3055\u3092\u63a8\u5b9a\u3059\u308b\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u306a\u305c\u539f\u56e0\u304c\u7d50\u679c\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u306e\u304b\u3001\u305d\u306e\u30e1\u30ab\u30cb\u30ba\u30e0\u3092\u89e3\u304d\u660e\u304b\u3059\u3053\u3068\u304c\u53ef\u80fd\u3068\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<\/h2>\n\n\n\n<p>\u5177\u4f53\u7684\u306a\u4f8b\u3067\u8003\u3048\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p><strong>\u4f8b\uff1a\u5e83\u544a\u652f\u51fa\u304c\u58f2\u4e0a\u306b\u4e0e\u3048\u308b\u5f71\u97ff<\/strong><\/p>\n\n\n\n<p>\u4f01\u696d\u304c\u5e83\u544a\u306b\u591a\u984d\u306e\u652f\u51fa\u3092\u3057\u305f\u3068\u3059\u308b\u3002\u3053\u308c\u306b\u3088\u308a\u58f2\u4e0a\u304c\u5897\u52a0\u3057\u305f\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d\u3001\u5358\u7d14\u306b\u300c\u5e83\u544a\u652f\u51fa\u304c\u5897\u3048\u308c\u3070\u58f2\u4e0a\u3082\u5897\u3048\u308b\u300d\u3068\u8003\u3048\u308b\u3053\u3068\u3082\u3067\u304d\u308b\u304c\u3001\u305d\u306e\u80cc\u666f\u306b\u306f\u3069\u306e\u3088\u3046\u306a\u30e1\u30ab\u30cb\u30ba\u30e0\u304c\u3042\u308b\u306e\u3060\u308d\u3046\u304b\uff1f<\/p>\n\n\n\n<p>\u3053\u3053\u3067<strong>\u300c\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u300d<\/strong>\u3068\u3044\u3046\u5a92\u4ecb\u56e0\u5b50\u3092\u8003\u3048\u3066\u307f\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u539f\u56e0\uff08\u72ec\u7acb\u5909\u6570\uff09\uff1a\u5e83\u544a\u652f\u51fa<\/strong><\/li>\n\n\n\n<li><strong>\u5a92\u4ecb\u56e0\u5b50\uff08\u5a92\u4ecb\u5909\u6570\uff09\uff1a\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6<\/strong><\/li>\n\n\n\n<li><strong>\u7d50\u679c\uff08\u5f93\u5c5e\u5909\u6570\uff09\uff1a\u58f2\u4e0a<\/strong><\/li>\n<\/ul>\n\n\n\n<p>\u3053\u306e\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u56e0\u679c\u306e\u9023\u9396\u304c\u8003\u3048\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list is-style-num_circle\">\n<li>\u5e83\u544a\u652f\u51fa\u304c\u5897\u3048\u308b<\/li>\n\n\n\n<li>\u305d\u306e\u7d50\u679c\u3001\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u304c\u5411\u4e0a\u3059\u308b<\/li>\n\n\n\n<li>\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u304c\u5411\u4e0a\u3057\u305f\u3053\u3068\u3067\u3001\u6d88\u8cbb\u8005\u306e\u8cfc\u8cb7\u610f\u6b32\u304c\u9ad8\u307e\u308a\u3001\u58f2\u4e0a\u304c\u5897\u52a0\u3059\u308b<\/li>\n<\/ol>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u5e83\u544a\u652f\u51fa\u304c\u76f4\u63a5\u7684\u306b\u58f2\u4e0a\u3092\u5897\u52a0\u3055\u305b\u308b\u52b9\u679c\uff08\u76f4\u63a5\u52b9\u679c\uff09\u3068\u3001\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u3092\u4ecb\u3057\u3066\u58f2\u4e0a\u3092\u5897\u52a0\u3055\u305b\u308b\u52b9\u679c\uff08\u9593\u63a5\u52b9\u679c\uff09\u306e\u4e21\u65b9\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u8a73\u7d30\u306a\u5206\u6790\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">R \u8a08\u7b97\u4f8b<\/h3>\n\n\n\n<p>\u5a92\u4ecb\u5206\u6790\u306f\u3001\u69cb\u9020\u65b9\u7a0b\u5f0f\u30e2\u30c7\u30ea\u30f3\u30b0\uff08SEM\uff09\u3084\u56de\u5e30\u5206\u6790\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u3067\u5b9f\u65bd\u3067\u304d\u308b\u3002\u3053\u3053\u3067\u306f\u3001R\u3092\u4f7f\u3063\u305f\u7c21\u7565\u5316\u3055\u308c\u305f\u56de\u5e30\u5206\u6790\u306b\u3088\u308b\u5a92\u4ecb\u5206\u6790\u306e\u4f8b\u3092\u793a\u3059\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3001\u67b6\u7a7a\u306e\u30c7\u30fc\u30bf\u3067\u8003\u3048\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td>\u5e83\u544a\u652f\u51fa (X)<\/td><td>\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6 (M)<\/td><td>\u58f2\u4e0a (Y)<\/td><\/tr><\/thead><tbody><tr><td>10<\/td><td>50<\/td><td>100<\/td><\/tr><tr><td>20<\/td><td>60<\/td><td>120<\/td><\/tr><tr><td>30<\/td><td>70<\/td><td>140<\/td><\/tr><tr><td>40<\/td><td>80<\/td><td>160<\/td><\/tr><tr><td>50<\/td><td>90<\/td><td>180<\/td><\/tr><tr><td>&#8230;<\/td><td>&#8230;<\/td><td>&#8230;<\/td><\/tr><\/tbody><\/table><\/figure>\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># \u4eee\u60f3\u30c7\u30fc\u30bf\u306e\u4f5c\u6210\nset.seed(123)\nad_spend &lt;- round(runif(100, 10, 100)) # \u5e83\u544a\u652f\u51fa\nbrand_awareness &lt;- round(20 + 0.8 * ad_spend + rnorm(100, 0, 5)) # \u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\nsales &lt;- round(50 + 0.5 * ad_spend + 1.2 * brand_awareness + rnorm(100, 0, 10)) # \u58f2\u4e0a\n\ndata_mediation &lt;- data.frame(ad_spend, brand_awareness, sales)\n\n# \u5a92\u4ecb\u5206\u6790\u306e\u5b9f\u884c (lavaan\u30d1\u30c3\u30b1\u30fc\u30b8\u306a\u3069\u3092\u4f7f\u7528\u3059\u308b\u3068\u3088\u308a\u53b3\u5bc6\u3060\u304c\u3001\u3053\u3053\u3067\u306f\u56de\u5e30\u5206\u6790\u3067\u7c21\u7565\u5316)\n\n# 1. \u5e83\u544a\u652f\u51fa (X) \u304c\u58f2\u4e0a (Y) \u306b\u4e0e\u3048\u308b\u76f4\u63a5\u52b9\u679c\u3092\u8abf\u3079\u308b\n# \u30e2\u30c7\u30eb Y ~ X\nmodel_Y_X &lt;- lm(sales ~ ad_spend, data = data_mediation)\nsummary(model_Y_X)\n\n# 2. \u5e83\u544a\u652f\u51fa (X) \u304c\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6 (M) \u306b\u4e0e\u3048\u308b\u52b9\u679c\u3092\u8abf\u3079\u308b\n# \u30e2\u30c7\u30eb M ~ X\nmodel_M_X &lt;- lm(brand_awareness ~ ad_spend, data = data_mediation)\nsummary(model_M_X)\n\n# 3. \u5e83\u544a\u652f\u51fa (X) \u3068\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6 (M) \u306e\u4e21\u65b9\u304c\u58f2\u4e0a (Y) \u306b\u4e0e\u3048\u308b\u52b9\u679c\u3092\u8abf\u3079\u308b\n# \u30e2\u30c7\u30eb Y ~ X + M\nmodel_Y_XM &lt;- lm(sales ~ ad_spend + brand_awareness, data = data_mediation)\nsummary(model_Y_XM)\n\n# \u7d50\u679c\u306e\u89e3\u91c8\n# model_Y_X \u306e ad_spend \u306e\u4fc2\u6570: c (\u7dcf\u52b9\u679c)\n# model_M_X \u306e ad_spend \u306e\u4fc2\u6570: a\n# model_Y_XM \u306e brand_awareness \u306e\u4fc2\u6570: b\n# model_Y_XM \u306e ad_spend \u306e\u4fc2\u6570: c' (\u76f4\u63a5\u52b9\u679c)\n\n# \u9593\u63a5\u52b9\u679c = a * b\n# \u7dcf\u52b9\u679c = \u76f4\u63a5\u52b9\u679c + \u9593\u63a5\u52b9\u679c (c = c' + a*b)\n\n# \u5404\u4fc2\u6570\u306e\u53d6\u5f97\ncoef_c &lt;- coef(model_Y_X)&#91;\"ad_spend\"]\ncoef_a &lt;- coef(model_M_X)&#91;\"ad_spend\"]\ncoef_b &lt;- coef(model_Y_XM)&#91;\"brand_awareness\"]\ncoef_c_prime &lt;- coef(model_Y_XM)&#91;\"ad_spend\"]\n\nindirect_effect &lt;- coef_a * coef_b\ntotal_effect_check &lt;- coef_c_prime + indirect_effect\n\ncat(\"\u7dcf\u52b9\u679c (model_Y_X \u306e ad_spend):\", coef_c, \"\\n\")\ncat(\"\u9593\u63a5\u52b9\u679c (a * b):\", indirect_effect, \"\\n\")\ncat(\"\u76f4\u63a5\u52b9\u679c (model_Y_XM \u306e ad_spend):\", coef_c_prime, \"\\n\")\ncat(\"\u7dcf\u52b9\u679c\u306e\u78ba\u8a8d (\u76f4\u63a5\u52b9\u679c + \u9593\u63a5\u52b9\u679c):\", total_effect_check, \"\\n\")\n\n# \u3055\u3089\u306b\u3001bootstrap\u306a\u3069\u3092\u7528\u3044\u3066\u6709\u610f\u6027\u3092\u8a55\u4fa1\u3059\u308b\u306e\u304c\u4e00\u822c\u7684\u3060\u3002\n# lavaan\u30d1\u30c3\u30b1\u30fc\u30b8\u306a\u3069\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u3088\u308a\u7c21\u5358\u306b\u5a92\u4ecb\u5206\u6790\u304c\u53ef\u80fd\u3060\u3002\n# install.packages(\"lavaan\")\n# library(lavaan)\n# model &lt;- ' # mediator\n#             brand_awareness ~ a*ad_spend\n#           # dependent variable\n#             sales ~ c_prime*ad_spend + b*brand_awareness\n#           # indirect effect (a*b)\n#             indirect := a*b\n#           # total effect (c_prime + a*b)\n#             total := c_prime + indirect\n#          '\n# fit &lt;- sem(model, data = data_mediation)\n# summary(fit, standardized = TRUE, fit.measures = TRUE)\n<\/code><\/pre>\n\n\n\n<p><strong>\u5b9f\u884c\u7d50\u679c\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> cat(\"\u7dcf\u52b9\u679c (model_Y_X \u306e ad_spend):\", coef_c, \"\\n\")\n\u7dcf\u52b9\u679c (model_Y_X \u306e ad_spend): 1.441562 \n> cat(\"\u9593\u63a5\u52b9\u679c (a * b):\", indirect_effect, \"\\n\")\n\u9593\u63a5\u52b9\u679c (a * b): 0.8495455 \n> cat(\"\u76f4\u63a5\u52b9\u679c (model_Y_XM \u306e ad_spend):\", coef_c_prime, \"\\n\")\n\u76f4\u63a5\u52b9\u679c (model_Y_XM \u306e ad_spend): 0.5920167 \n> cat(\"\u7dcf\u52b9\u679c\u306e\u78ba\u8a8d (\u76f4\u63a5\u52b9\u679c + \u9593\u63a5\u52b9\u679c):\", total_effect_check, \"\\n\")\n\u7dcf\u52b9\u679c\u306e\u78ba\u8a8d (\u76f4\u63a5\u52b9\u679c + \u9593\u63a5\u52b9\u679c): 1.441562 <\/code><\/pre>\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\u306e\u8a08\u7b97\u4f8b\uff08\u7c21\u7565\u5316\u3055\u308c\u305f\u56de\u5e30\u5206\u6790\uff09\u306b\u304a\u3044\u3066\u3001\u5f97\u3089\u308c\u305f\u4fc2\u6570\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u89e3\u91c8\u3059\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u7dcf\u52b9\u679c\uff08Total Effect\uff09:<\/strong> <code>model_Y_X<\/code> \u306b\u304a\u3051\u308b <code>ad_spend<\/code> \u306e\u4fc2\u6570\u3002\u3053\u308c\u306f\u3001\u5e83\u544a\u652f\u51fa\u304c\u58f2\u4e0a\u306b\u4e0e\u3048\u308b\u5168\u4f53\u306e\u52b9\u679c\u3092\u793a\u3059\u3002\u5a92\u4ecb\u56e0\u5b50\u3092\u8003\u616e\u3057\u306a\u3044\u3001\u5358\u7d14\u306a\u56e0\u679c\u95a2\u4fc2\u306e\u5f37\u3055\u3060\u3002<\/li>\n\n\n\n<li><strong>\u76f4\u63a5\u52b9\u679c\uff08Direct Effect\uff09:<\/strong> <code>model_Y_XM<\/code> \u306b\u304a\u3051\u308b <code>ad_spend<\/code> \u306e\u4fc2\u6570\u3002\u3053\u308c\u306f\u3001\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u306e\u5f71\u97ff\u3092\u5dee\u3057\u5f15\u3044\u305f\u4e0a\u3067\u3001\u5e83\u544a\u652f\u51fa\u304c\u58f2\u4e0a\u306b\u4e0e\u3048\u308b\u76f4\u63a5\u7684\u306a\u52b9\u679c\u3092\u793a\u3059\u3002\u3064\u307e\u308a\u3001\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u3092\u4ecb\u3055\u305a\u306b\u58f2\u4e0a\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u90e8\u5206\u3067\u3042\u308b\u3002<\/li>\n\n\n\n<li><strong>\u9593\u63a5\u52b9\u679c\uff08Indirect Effect\uff09:<\/strong> <code>model_M_X<\/code> \u306b\u304a\u3051\u308b <code>ad_spend<\/code> \u306e\u4fc2\u6570\uff08a\uff09\u3068\u3001<code>model_Y_XM<\/code> \u306e <code>brand_awareness<\/code> \u306e\u4fc2\u6570\uff08b\uff09\u3092\u639b\u3051\u5408\u308f\u305b\u305f\u5024\uff08ab\uff09\u3002\u3053\u308c\u306f\u3001\u5e83\u544a\u652f\u51fa\u304c\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u3092\u4ecb\u3057\u3066\u58f2\u4e0a\u306b\u4e0e\u3048\u308b\u52b9\u679c\u3092\u793a\u3059\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u3082\u3057\u9593\u63a5\u52b9\u679c\u304c\u5927\u304d\u3051\u308c\u3070\u3001\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u304c\u5e83\u544a\u652f\u51fa\u3068\u58f2\u4e0a\u306e\u95a2\u4fc2\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u793a\u5506\u3055\u308c\u308b\u3002\u307e\u305f\u3001\u76f4\u63a5\u52b9\u679c\u3068\u9593\u63a5\u52b9\u679c\u306e\u5408\u8a08\u304c\u7dcf\u52b9\u679c\u3068\u307b\u307c\u7b49\u3057\u304f\u306a\u308c\u3070\u3001\u30e2\u30c7\u30eb\u304c\u56e0\u679c\u95a2\u4fc2\u3092\u3046\u307e\u304f\u8aac\u660e\u3067\u304d\u3066\u3044\u308b\u3068\u8a00\u3048\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5206\u6790\u306b\u3088\u308a\u3001\u300c\u5e83\u544a\u652f\u51fa\u306f\u3001\u5358\u306b\u76f4\u63a5\u7684\u306b\u58f2\u4e0a\u3092\u5897\u3084\u3059\u3060\u3051\u3067\u306a\u304f\u3001\u30d6\u30e9\u30f3\u30c9\u8a8d\u77e5\u5ea6\u3092\u9ad8\u3081\u308b\u3053\u3068\u3067\u9593\u63a5\u7684\u306b\u3082\u58f2\u4e0a\u3092\u62bc\u3057\u4e0a\u3052\u3066\u3044\u308b\u300d\u3068\u3044\u3063\u305f\u3001\u3088\u308a\u6df1\u3044\u77e5\u898b\u304c\u5f97\u3089\u308c\u308b\u308f\u3051\u3060\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div id=\"biost-867992092\" 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\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u5a92\u4ecb\u56e0\u5b50\u3001\u5a92\u4ecb\u5909\u6570\u3001\u305d\u3057\u3066\u5a92\u4ecb\u5206\u6790\u306f\u3001\u30c7\u30fc\u30bf\u304b\u3089\u56e0\u679c\u95a2\u4fc2\u306e\u30e1\u30ab\u30cb\u30ba\u30e0\u3092\u89e3\u660e\u3059\u308b\u305f\u3081\u306e\u5f37\u529b\u306a\u30c4\u30fc\u30eb\u3067\u3042\u308b\u3002\u5358\u306a\u308b\u76f8\u95a2\u95a2\u4fc2\u3084\u76f4\u63a5\u7684\u306a\u56e0\u679c\u95a2\u4fc2\u306b\u7559\u307e\u3089\u305a\u3001\u305d\u306e\u9593\u306b\u5b58\u5728\u3059\u308b\u300c\u306a\u305c\u300d\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u52b9\u679c\u7684\u306a\u65bd\u7b56\u7acb\u6848\u3084\u610f\u601d\u6c7a\u5b9a\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u306e\u8a18\u4e8b\u3092\u901a\u3058\u3066\u3001\u3053\u308c\u3089\u306e\u6982\u5ff5\u306e\u91cd\u8981\u6027\u3068\u5206\u6790\u306e\u57fa\u672c\u7684\u306a\u8003\u3048\u65b9\u3092\u7406\u89e3\u3057\u3066\u3082\u3089\u3048\u305f\u3060\u308d\u3046\u304b\u3002\u5b9f\u969b\u306e\u30c7\u30fc\u30bf\u5206\u6790\u306b\u304a\u3044\u3066\u306f\u3001\u3055\u3089\u306b\u8907\u96d1\u306a\u30e2\u30c7\u30eb\u3084\u7d71\u8a08\u7684\u624b\u6cd5\u304c\u7528\u3044\u3089\u308c\u308b\u304c\u3001\u672c\u8a18\u4e8b\u304c\u305d\u306e\u7b2c\u4e00\u6b69\u3068\u306a\u308c\u3070\u5e78\u3044\u3060\u3002\u30c7\u30fc\u30bf\u306e\u4e2d\u306b\u96a0\u3055\u308c\u305f\u30b9\u30c8\u30fc\u30ea\u30fc\u3092\u3001\u5a92\u4ecb\u5206\u6790\u306e\u529b\u3067\u7d10\u89e3\u3044\u3066\u3044\u3053\u3046\u3002<\/p>\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>\u30c7\u30fc\u30bf\u5206\u6790\u3092\u9032\u3081\u308b\u4e0a\u3067\u3001\u300c\u3042\u308b\u539f\u56e0\u304c\u7d50\u679c\u306b\u3069\u3046\u5f71\u97ff\u3059\u308b\u304b\u300d\u3092\u76f4\u63a5\u7684\u306b\u898b\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u305d\u306e\u9593\u306b\u5b58\u5728\u3059\u308b\u300c\u5225\u306e\u8981\u56e0\u300d\u306e\u5b58\u5728\u3092\u610f\u8b58\u3059\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u91cd\u8981\u3060\u3002\u3053\u306e\u300c\u5225\u306e\u8981\u56e0\u300d\u304c\u3001\u3068\u304d\u306b\u539f\u56e0\u3068\u7d50\u679c\u306e\u95a2\u4fc2\u6027\u3092\u3088\u308a\u6df1\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u9375\u3068 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