{"id":4127,"date":"2025-07-05T22:52:30","date_gmt":"2025-07-05T13:52:30","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/?p=4127"},"modified":"2025-07-05T22:59:54","modified_gmt":"2025-07-05T13:59:54","slug":"r-based-structural-equation-modeling-unraveling-complex-relationships-powerful-tool","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/r-based-structural-equation-modeling-unraveling-complex-relationships-powerful-tool\/","title":{"rendered":"R\u3067\u5b9f\u8df5\uff01\u69cb\u9020\u65b9\u7a0b\u5f0f\u30e2\u30c7\u30ea\u30f3\u30b0\uff1a\u8907\u96d1\u306a\u95a2\u4fc2\u6027\u3092\u89e3\u304d\u660e\u304b\u3059\u5f37\u529b\u306a\u30c4\u30fc\u30eb"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u69cb\u9020\u65b9\u7a0b\u5f0f\u30e2\u30c7\u30ea\u30f3\u30b0\uff08SEM\uff09\u306f\u3001\u793e\u4f1a\u79d1\u5b66\u3001\u5fc3\u7406\u5b66\u3001\u30de\u30fc\u30b1\u30c6\u30a3\u30f3\u30b0\u306a\u3069\u3001\u591a\u5c90\u306b\u308f\u305f\u308b\u5206\u91ce\u3067\u6d3b\u7528\u3055\u308c\u3066\u3044\u308b\u7d71\u8a08\u5206\u6790\u624b\u6cd5\u3067\u3042\u308b\u3002\u89b3\u6e2c\u3055\u308c\u305f\u30c7\u30fc\u30bf\u304b\u3089\u3001\u76f4\u63a5\u89b3\u6e2c\u3067\u304d\u306a\u3044\u6f5c\u5728\u7684\u306a\u5909\u6570\u9593\u306e\u56e0\u679c\u95a2\u4fc2\u3084\u8907\u96d1\u306a\u30d1\u30b9\u3092\u7d71\u8a08\u7684\u306b\u63a8\u5b9a\u30fb\u691c\u5b9a\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u672c\u30d6\u30ed\u30b0\u8a18\u4e8b\u3067\u306f\u3001SEM\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u304b\u3089\u3001\u7d71\u8a08\u89e3\u6790\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2R\u3092\u7528\u3044\u305f\u5177\u4f53\u7684\u306a\u5206\u6790\u4f8b\u3001\u305d\u3057\u3066\u7d50\u679c\u306e\u89e3\u91c8\u307e\u3067\u3092\u5206\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3059\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\">\u69cb\u9020\u65b9\u7a0b\u5f0f\u30e2\u30c7\u30ea\u30f3\u30b0\uff08SEM\uff09\u306e\u6982\u8981<\/h2>\n\n\n\n<p>SEM\u306f\u3001\u56e0\u5b50\u5206\u6790\u3001\u30d1\u30b9\u89e3\u6790\u3001\u56de\u5e30\u5206\u6790\u306a\u3069\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u3001\u3088\u308a\u5305\u62ec\u7684\u306a\u5206\u6790\u624b\u6cd5\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u305d\u306e\u6700\u5927\u306e\u7279\u5fb4\u306f\u3001<strong>\u6f5c\u5728\u5909\u6570<\/strong>\uff08\u76f4\u63a5\u6e2c\u5b9a\u3067\u304d\u306a\u3044\u6982\u5ff5\u3001\u4f8b\u3048\u3070\u300c\u77e5\u80fd\u300d\u300d\u3084\u300c\u9867\u5ba2\u6e80\u8db3\u5ea6\u300d\u306a\u3069\uff09\u3092\u30e2\u30c7\u30eb\u306b\u7d44\u307f\u8fbc\u3080\u3053\u3068\u304c\u3067\u304d\u308b\u70b9\u3067\u3042\u308b\u3002\u6f5c\u5728\u5909\u6570\u306f\u3001\u8907\u6570\u306e<strong>\u89b3\u6e2c\u5909\u6570<\/strong>\uff08\u5b9f\u969b\u306b\u6e2c\u5b9a\u3067\u304d\u308b\u30c7\u30fc\u30bf\u3001\u4f8b\u3048\u3070\u30c6\u30b9\u30c8\u306e\u70b9\u6570\u3084\u30a2\u30f3\u30b1\u30fc\u30c8\u306e\u56de\u7b54\uff09\u306b\u3088\u3063\u3066\u6e2c\u5b9a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>SEM\u306e\u30e2\u30c7\u30eb\u306f\u3001\u901a\u5e38\u3001\u4ee5\u4e0b\u306e\u8981\u7d20\u3067\u69cb\u6210\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u89b3\u6e2c\u5909\u6570\uff08Observed Variables \/ Manifest Variables\uff09<\/strong>: \u5b9f\u969b\u306b\u6e2c\u5b9a\u3055\u308c\u308b\u30c7\u30fc\u30bf\u3002<\/li>\n\n\n\n<li><strong>\u6f5c\u5728\u5909\u6570\uff08Latent Variables\uff09<\/strong>: \u76f4\u63a5\u6e2c\u5b9a\u3067\u304d\u306a\u3044\u304c\u3001\u89b3\u6e2c\u5909\u6570\u3092\u901a\u3057\u3066\u63a8\u5b9a\u3055\u308c\u308b\u6982\u5ff5\u3002<\/li>\n\n\n\n<li><strong>\u30d1\u30b9\uff08Paths\uff09<\/strong>: \u5909\u6570\u9593\u306e\u95a2\u4fc2\u6027\u3092\u793a\u3059\u77e2\u5370\u3002\u4e00\u65b9\u7684\u306a\u77e2\u5370\u306f\u56e0\u679c\u95a2\u4fc2\u3092\u3001\u4e21\u65b9\u5411\u306e\u77e2\u5370\u306f\u76f8\u95a2\u95a2\u4fc2\u3092\u793a\u3059\u3002<\/li>\n\n\n\n<li><strong>\u8aa4\u5dee\u9805\uff08Error Terms\uff09<\/strong>: \u89b3\u6e2c\u5909\u6570\u3084\u5185\u751f\u6f5c\u5728\u5909\u6570\u306e\u6e2c\u5b9a\u8aa4\u5dee\u3084\u3001\u30e2\u30c7\u30eb\u3067\u8aac\u660e\u3067\u304d\u306a\u3044\u90e8\u5206\u3092\u8868\u3059\u3002<\/li>\n<\/ul>\n\n\n\n<p>SEM\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u4ee5\u4e0b\u306e\u5206\u6790\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8907\u6570\u306e\u5909\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u76f8\u4e92\u4f5c\u7528\u3057\u3001\u3042\u308b\u7d50\u679c\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304b\u3092\u8996\u899a\u7684\u306b\u8868\u73fe\u3057\u3001\u7d71\u8a08\u7684\u306b\u8a55\u4fa1\u3059\u308b\u3002<\/li>\n\n\n\n<li>\u6e2c\u5b9a\u8aa4\u5dee\u3092\u8003\u616e\u306b\u5165\u308c\u305f\u5206\u6790\u3092\u884c\u3046\u3002<\/li>\n\n\n\n<li>\u30e2\u30c7\u30eb\u5168\u4f53\u306e\u9069\u5408\u5ea6\u3092\u8a55\u4fa1\u3057\u3001\u30c7\u30fc\u30bf\u3068\u306e\u6574\u5408\u6027\u3092\u78ba\u8a8d\u3059\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\uff1a\u5b66\u529b\u3068\u5bb6\u5ead\u74b0\u5883\u306e\u95a2\u4fc2<\/h2>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001\u67b6\u7a7a\u306e\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u3001SEM\u306e\u5177\u4f53\u4f8b\u3092\u898b\u3066\u3044\u304f\u3002\u6211\u3005\u306e\u76ee\u7684\u306f\u3001\u300c<strong>\u5bb6\u5ead\u74b0\u5883<\/strong>\u300d\u304c\u300c<strong>\u5b66\u7fd2\u610f\u6b32<\/strong>\u300d\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u3001\u305d\u306e\u300c\u5b66\u7fd2\u610f\u6b32\u300d\u304c\u300c<strong>\u5b66\u529b<\/strong>\u300d\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u3068\u3044\u3046\u4eee\u8aac\u3092\u691c\u8a3c\u3059\u308b\u3053\u3068\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u672c\u4f8b\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u6570\u3092\u8a2d\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6f5c\u5728\u5909\u6570<\/strong>:\n<ul class=\"wp-block-list\">\n<li><strong>\u5bb6\u5ead\u74b0\u5883<\/strong>: \u300c\u89aa\u306e\u6559\u80b2\u6c34\u6e96\u300d\u300c\u5bb6\u5ead\u5185\u5b66\u7fd2\u6642\u9593\u300d\u300c\u6559\u80b2\u6295\u8cc7\u300d\u3068\u3044\u3046\u89b3\u6e2c\u5909\u6570\u3067\u6e2c\u5b9a\u3055\u308c\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3002<\/li>\n\n\n\n<li><strong>\u5b66\u7fd2\u610f\u6b32<\/strong>: \u300c\u5bbf\u984c\u3078\u306e\u53d6\u308a\u7d44\u307f\u300d\u300c\u6388\u696d\u3078\u306e\u53c2\u52a0\u5ea6\u300d\u300c\u81ea\u4e3b\u5b66\u7fd2\u6642\u9593\u300d\u3068\u3044\u3046\u89b3\u6e2c\u5909\u6570\u3067\u6e2c\u5b9a\u3055\u308c\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3002<\/li>\n\n\n\n<li><strong>\u5b66\u529b<\/strong>: \u300c\u56fd\u8a9e\u306e\u70b9\u6570\u300d\u300c\u6570\u5b66\u306e\u70b9\u6570\u300d\u300c\u7406\u79d1\u306e\u70b9\u6570\u300d\u3068\u3044\u3046\u89b3\u6e2c\u5909\u6570\u3067\u6e2c\u5b9a\u3055\u308c\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u30d1\u30b9<\/strong>:\n<ul class=\"wp-block-list\">\n<li>$ \\text{\u5bb6\u5ead\u74b0\u5883} \\rightarrow \\text{\u5b66\u7fd2\u610f\u6b32} $<\/li>\n\n\n\n<li>$ \\text{\u5b66\u7fd2\u610f\u6b32} \\rightarrow \\text{\u5b66\u529b} $<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div id=\"biost-2497289608\" 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\u8a08\u7b97\u4f8b<\/h2>\n\n\n\n<p>R\u3067SEM\u3092\u884c\u3046\u306b\u306f\u3001<code>lavaan<\/code>\u30d1\u30c3\u30b1\u30fc\u30b8\u304c\u975e\u5e38\u306b\u4fbf\u5229\u3067\u3042\u308b\u3002\u307e\u305a\u306f\u3001<code>lavaan<\/code>\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u3001\u8aad\u307f\u8fbc\u3080\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># install.packages(\"lavaan\") # \u307e\u3060\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u5b9f\u884c\nlibrary(lavaan)\n\n# \u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bf\u306e\u4f5c\u6210\uff08\u67b6\u7a7a\u306e\u30c7\u30fc\u30bf\u3067\u3042\u308b\uff09\nset.seed(123)\nn &lt;- 200 # \u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\n\n# \u76f8\u95a2\u306e\u3042\u308b\u30c7\u30fc\u30bf\u3092\u751f\u6210\u3059\u308b\u305f\u3081\u306e\u95a2\u6570\ngenerate_correlated_data &lt;- function(n, means, sds, cor_matrix) {\n    # \u591a\u5909\u91cf\u6b63\u898f\u5206\u5e03\u304b\u3089\u76f8\u95a2\u306e\u3042\u308b\u30c7\u30fc\u30bf\u3092\u751f\u6210\n    library(MASS)\n    data &lt;- mvrnorm(n, mu = means, Sigma = cor_matrix * outer(sds, sds))\n    return(data)\n}\n\n# \u76f8\u95a2\u884c\u5217\u306e\u5b9a\u7fa9\uff08\u3088\u308a\u73fe\u5b9f\u7684\u306a\u76f8\u95a2\u69cb\u9020\uff09\ncor_matrix &lt;- matrix(c(\n    # parent_edu, home_study_time, edu_investment, homework_effort, class_participation, self_study_time, japanese_score, math_score, science_score\n    1.0, 0.3, 0.4, 0.2, 0.1, 0.2, 0.3, 0.2, 0.2, # parent_edu\n    0.3, 1.0, 0.5, 0.4, 0.3, 0.6, 0.4, 0.3, 0.3, # home_study_time\n    0.4, 0.5, 1.0, 0.3, 0.2, 0.4, 0.3, 0.2, 0.2, # edu_investment\n    0.2, 0.4, 0.3, 1.0, 0.6, 0.7, 0.5, 0.4, 0.4, # homework_effort\n    0.1, 0.3, 0.2, 0.6, 1.0, 0.5, 0.4, 0.3, 0.3, # class_participation\n    0.2, 0.6, 0.4, 0.7, 0.5, 1.0, 0.5, 0.4, 0.4, # self_study_time\n    0.3, 0.4, 0.3, 0.5, 0.4, 0.5, 1.0, 0.7, 0.6, # japanese_score\n    0.2, 0.3, 0.2, 0.4, 0.3, 0.4, 0.7, 1.0, 0.6, # math_score\n    0.2, 0.3, 0.2, 0.4, 0.3, 0.4, 0.6, 0.6, 1.0 # science_score\n), nrow = 9, byrow = TRUE)\n\n# \u5e73\u5747\u5024\u3068\u6a19\u6e96\u504f\u5dee\u306e\u8a2d\u5b9a\nmeans &lt;- c(60, 30, 50, 70, 65, 40, 75, 70, 68)\nsds &lt;- c(10, 5, 8, 8, 7, 6, 10, 9, 8)\n\n# \u76f8\u95a2\u306e\u3042\u308b\u30c7\u30fc\u30bf\u3092\u751f\u6210\ndata_raw &lt;- generate_correlated_data(n, means, sds, cor_matrix)\n\n# \u30c7\u30fc\u30bf\u30d5\u30ec\u30fc\u30e0\u306b\u5909\u63db\ndata_sem &lt;- data.frame(\n    parent_edu = round(data_raw&#91;, 1]),\n    home_study_time = round(data_raw&#91;, 2]),\n    edu_investment = round(data_raw&#91;, 3]),\n    homework_effort = round(data_raw&#91;, 4]),\n    class_participation = round(data_raw&#91;, 5]),\n    self_study_time = round(data_raw&#91;, 6]),\n    japanese_score = round(data_raw&#91;, 7]),\n    math_score = round(data_raw&#91;, 8]),\n    science_score = round(data_raw&#91;, 9])\n)\n\n# \u30c7\u30fc\u30bf\u306e\u78ba\u8a8d\nprint(\"\u30c7\u30fc\u30bf\u306e\u57fa\u672c\u7d71\u8a08:\")\nprint(summary(data_sem))\nprint(\"\\n\u76f8\u95a2\u884c\u5217:\")\nprint(round(cor(data_sem), 3))\n\n# \u69cb\u9020\u65b9\u7a0b\u5f0f\u30e2\u30c7\u30eb\u306e\u5b9a\u7fa9\n# =~ \u306f\u6f5c\u5728\u5909\u6570\u3092\u89b3\u6e2c\u5909\u6570\u3067\u6e2c\u5b9a\u3059\u308b\u3053\u3068\u3092\u793a\u3059\uff08\u6e2c\u5b9a\u30e2\u30c7\u30eb\uff09\n# ~ \u306f\u30d1\u30b9\uff08\u56de\u5e30\u95a2\u4fc2\uff09\u3092\u793a\u3059\uff08\u69cb\u9020\u30e2\u30c7\u30eb\uff09\nmodel_syntax &lt;- \"\n  # \u6e2c\u5b9a\u30e2\u30c7\u30eb\uff08\u6f5c\u5728\u5909\u6570\u306e\u30b9\u30b1\u30fc\u30eb\u3092\u8a2d\u5b9a\uff09\n  Household_Environment =~ 1*parent_edu + home_study_time + edu_investment\n  Learning_Motivation =~ 1*homework_effort + class_participation + self_study_time\n  Academic_Performance =~ 1*japanese_score + math_score + science_score\n\n  # \u69cb\u9020\u30e2\u30c7\u30eb\uff08\u30d1\u30b9\uff09\n  Learning_Motivation ~ Household_Environment\n  Academic_Performance ~ Learning_Motivation\n\"\n\n# \u30e2\u30c7\u30eb\u306e\u5b9f\u884c\nfit &lt;- sem(model_syntax, data = data_sem)\n\n# \u7d50\u679c\u306e\u8981\u7d04\nsummary(fit, standardized = TRUE)\n\n# \u9069\u5408\u5ea6\u6307\u6a19\u306e\u78ba\u8a8d\nprint(\"\\n\u9069\u5408\u5ea6\u6307\u6a19:\")\nprint(fitMeasures(fit, c(\"cfi\", \"tli\", \"rmsea\", \"srmr\")))\n\n# \u4fee\u6b63\u6307\u6a19\u306e\u78ba\u8a8d\uff08\u5fc5\u8981\u306b\u5fdc\u3058\u3066\uff09\nprint(\"\\n\u4fee\u6b63\u6307\u6a19\uff08\u4e0a\u4f4d5\u4ef6\uff09:\")\nmodificationIndices(fit, sort = TRUE)&#91;1:5, ]\n<\/code><\/pre>\n\n\n\n<p>\u3053\u306eR\u30b9\u30af\u30ea\u30d7\u30c8\u306f\u3001\u69cb\u9020\u65b9\u7a0b\u5f0f\u30e2\u30c7\u30ea\u30f3\u30b0\uff08SEM\uff09\u3092\u4f7f\u7528\u3057\u3066\u6559\u80b2\u30c7\u30fc\u30bf\u306e\u56e0\u679c\u95a2\u4fc2\u3092\u5206\u6790\u3059\u308b\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u30b9\u30af\u30ea\u30d7\u30c8\u306e\u69cb\u6210<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">1. \u30c7\u30fc\u30bf\u751f\u6210\u90e8\u5206\uff081-40\u884c\u76ee\uff09<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u67b6\u7a7a\u306e\u6559\u80b2\u30c7\u30fc\u30bf<\/strong>\u3092\u751f\u6210\u3059\u308b<\/li>\n\n\n\n<li>9\u3064\u306e\u5909\u6570\u3092\u542b\u3080\u76f8\u95a2\u306e\u3042\u308b\u30c7\u30fc\u30bf\u3092\u4f5c\u6210\u3059\u308b\uff1a<\/li>\n\n\n\n<li>\u5bb6\u5ead\u74b0\u5883\uff1a\u89aa\u306e\u6559\u80b2\u30ec\u30d9\u30eb\u3001\u5bb6\u5ead\u5b66\u7fd2\u6642\u9593\u3001\u6559\u80b2\u6295\u8cc7<\/li>\n\n\n\n<li>\u5b66\u7fd2\u610f\u6b32\uff1a\u5bbf\u984c\u52aa\u529b\u3001\u6388\u696d\u53c2\u52a0\u3001\u81ea\u4e3b\u5b66\u7fd2\u6642\u9593<\/li>\n\n\n\n<li>\u5b66\u696d\u6210\u7e3e\uff1a\u56fd\u8a9e\u3001\u6570\u5b66\u3001\u7406\u79d1\u306e\u5f97\u70b9<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2. \u69cb\u9020\u65b9\u7a0b\u5f0f\u30e2\u30c7\u30eb\u306e\u5b9a\u7fa9\uff0841-55\u884c\u76ee\uff09<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>3\u3064\u306e\u6f5c\u5728\u5909\u6570<\/strong>\u3092\u5b9a\u7fa9\u3059\u308b\uff1a<\/li>\n\n\n\n<li><code>Household_Environment<\/code>\uff08\u5bb6\u5ead\u74b0\u5883\uff09<\/li>\n\n\n\n<li><code>Learning_Motivation<\/code>\uff08\u5b66\u7fd2\u610f\u6b32\uff09<\/li>\n\n\n\n<li><code>Academic_Performance<\/code>\uff08\u5b66\u696d\u6210\u7e3e\uff09<\/li>\n\n\n\n<li><strong>\u56e0\u679c\u95a2\u4fc2\u306e\u4eee\u8aac<\/strong>\u3092\u8a2d\u5b9a\u3059\u308b\uff1a<\/li>\n\n\n\n<li>\u5bb6\u5ead\u74b0\u5883 \u2192 \u5b66\u7fd2\u610f\u6b32<\/li>\n\n\n\n<li>\u5b66\u7fd2\u610f\u6b32 \u2192 \u5b66\u696d\u6210\u7e3e<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">3. \u30e2\u30c7\u30eb\u5206\u6790\u3068\u7d50\u679c\u8868\u793a\uff0856-83\u884c\u76ee\uff09<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>lavaan<\/code>\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u7528\u3057\u3066SEM\u3092\u5b9f\u884c\u3059\u308b<\/li>\n\n\n\n<li><strong>\u9069\u5408\u5ea6\u6307\u6a19<\/strong>\u3092\u78ba\u8a8d\u3059\u308b\uff08CFI\u3001TLI\u3001RMSEA\u3001SRMR\uff09<\/li>\n\n\n\n<li><strong>\u4fee\u6b63\u6307\u6a19<\/strong>\u3092\u8868\u793a\u3059\u308b\uff08\u30e2\u30c7\u30eb\u6539\u5584\u306e\u305f\u3081\u306e\u63d0\u6848\uff09<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u5206\u6790\u306e\u76ee\u7684<\/h4>\n\n\n\n<p>\u3053\u306e\u30b9\u30af\u30ea\u30d7\u30c8\u306f\u3001\u5bb6\u5ead\u74b0\u5883\u304c\u5b66\u7fd2\u610f\u6b32\u3092\u4ecb\u3057\u3066\u5b66\u696d\u6210\u7e3e\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u3068\u3044\u3046<strong>\u5a92\u4ecb\u52b9\u679c\u30e2\u30c7\u30eb<\/strong>\u3092\u691c\u8a3c\u3059\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u308b\u3002\u6559\u80b2\u7814\u7a76\u306b\u304a\u3044\u3066\u3001\u8907\u96d1\u306a\u56e0\u679c\u95a2\u4fc2\u3092\u540c\u6642\u306b\u5206\u6790\u3067\u304d\u308bSEM\u306e\u5b9f\u7528\u7684\u306a\u4f8b\u3068\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u7d50\u679c\u89e3\u91c8<\/h2>\n\n\n\n<p><strong>\u5b9f\u884c\u7d50\u679c\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> # \u7d50\u679c\u306e\u8981\u7d04\n> summary(fit, standardized = TRUE)\nlavaan 0.6-19 ended normally after 85 iterations\n\n  Estimator                                         ML\n  Optimization method                           NLMINB\n  Number of model parameters                        20\n\n  Number of observations                           200\n\nModel Test User Model:\n                                                      \n  Test statistic                                84.844\n  Degrees of freedom                                25\n  P-value (Chi-square)                           0.000\n\nParameter Estimates:\n\n  Standard errors                             Standard\n  Information                                 Expected\n  Information saturated (h1) model          Structured\n\nLatent Variables:\n                           Estimate  Std.Err  z-value  P(>|z|)   Std.lv\n  Household_Environment =~                                             \n    parent_edu                1.000                               4.162\n    home_study_tim            0.810    0.174    4.658    0.000    3.371\n    edu_investment            1.143    0.253    4.511    0.000    4.758\n  Learning_Motivation =~                                               \n    homework_effrt            1.000                               6.024\n    class_partcptn            0.721    0.080    9.033    0.000    4.340\n    self_study_tim            0.738    0.067   10.964    0.000    4.446\n  Academic_Performance =~                                              \n    japanese_score            1.000                               8.094\n    math_score                0.821    0.081   10.082    0.000    6.642\n    science_score             0.662    0.071    9.334    0.000    5.362\n  Std.all\n         \n    0.413\n    0.732\n    0.608\n         \n    0.807\n    0.656\n    0.804\n         \n    0.827\n    0.760\n    0.693\n\nRegressions:\n                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all\n  Learning_Motivation ~                                                       \n    Hshld_Envrnmnt          1.033    0.230    4.484    0.000    0.714    0.714\n  Academic_Performance ~                                                      \n    Learning_Mtvtn          0.905    0.116    7.799    0.000    0.673    0.673\n\nVariances:\n                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all\n   .parent_edu       84.363    9.153    9.217    0.000   84.363    0.830\n   .home_study_tim    9.835    1.836    5.357    0.000    9.835    0.464\n   .edu_investment   38.581    5.055    7.632    0.000   38.581    0.630\n   .homework_effrt   19.391    3.032    6.396    0.000   19.391    0.348\n   .class_partcptn   24.903    2.898    8.594    0.000   24.903    0.569\n   .self_study_tim   10.793    1.669    6.468    0.000   10.793    0.353\n   .japanese_score   30.355    5.599    5.421    0.000   30.355    0.317\n   .math_score       32.307    4.612    7.005    0.000   32.307    0.423\n   .science_score    31.195    3.873    8.055    0.000   31.195    0.520\n    Hshld_Envrnmnt   17.325    6.697    2.587    0.010    1.000    1.000\n   .Learning_Mtvtn   17.785    4.070    4.370    0.000    0.490    0.490\n   .Acadmc_Prfrmnc   35.805    6.820    5.250    0.000    0.547    0.547\n\n> \n> # \u9069\u5408\u5ea6\u6307\u6a19\u306e\u78ba\u8a8d\n> print(\"\\n\u9069\u5408\u5ea6\u6307\u6a19:\")\n&#91;1] \"\\n\u9069\u5408\u5ea6\u6307\u6a19:\"\n> print(fitMeasures(fit, c(\"cfi\", \"tli\", \"rmsea\", \"srmr\")))\n  cfi   tli rmsea  srmr \n0.907 0.865 0.109 0.059 \n> \n> # \u4fee\u6b63\u6307\u6a19\u306e\u78ba\u8a8d\uff08\u5fc5\u8981\u306b\u5fdc\u3058\u3066\uff09\n> print(\"\\n\u4fee\u6b63\u6307\u6a19\uff08\u4e0a\u4f4d5\u4ef6\uff09:\")\n&#91;1] \"\\n\u4fee\u6b63\u6307\u6a19\uff08\u4e0a\u4f4d5\u4ef6\uff09:\"\n> modificationIndices(fit, sort = TRUE)&#91;1:5, ]\n                     lhs op                 rhs     mi    epc sepc.lv sepc.all\n63       homework_effort ~~ class_participation 20.451 11.355  11.355    0.517\n53       home_study_time ~~     self_study_time 15.369  4.438   4.438    0.431\n26 Household_Environment =~     self_study_time 12.997  0.594   2.471    0.447\n33   Learning_Motivation =~      japanese_score  9.411  0.569   3.425    0.350\n77            math_score ~~       science_score  9.411 12.233  12.233    0.385\n   sepc.nox\n63    0.517\n53    0.431\n26    0.447\n33    0.350\n77    0.385\n> <\/code><\/pre>\n\n\n\n<p>\u3053\u306eSEM\u5206\u6790\u306e\u7d50\u679c\u306e\u89e3\u91c8\u3092\u4ee5\u4e0b\u306b\u793a\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u30e2\u30c7\u30eb\u9069\u5408\u5ea6\u306e\u8a55\u4fa1<\/h3>\n\n\n\n<p>SEM\u3067\u306f\u3001\u69cb\u7bc9\u3057\u305f\u30e2\u30c7\u30eb\u304c\u30c7\u30fc\u30bf\u306b\u3069\u308c\u3060\u3051\u5f53\u3066\u306f\u307e\u3063\u3066\u3044\u308b\u304b\uff08\u9069\u5408\u3057\u3066\u3044\u308b\u304b\uff09\u3092\u8a55\u4fa1\u3059\u308b\u69d8\u3005\u306a\u6307\u6a19\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u9069\u5408\u5ea6\u6307\u6a19<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>CFI = 0.907<\/strong>: 0.90\u4ee5\u4e0a\u3067\u826f\u597d\u306a\u9069\u5408\u3068\u3055\u308c\u308b\u305f\u3081\u3001\u30e2\u30c7\u30eb\u306f\u9069\u5207\u3067\u3042\u308b<\/li>\n\n\n\n<li><strong>TLI = 0.865<\/strong>: 0.90\u306b\u8fd1\u3044\u5024\u3067\u3042\u308a\u3001\u307b\u307c\u826f\u597d\u306a\u9069\u5408\u3067\u3042\u308b<\/li>\n\n\n\n<li><strong>RMSEA = 0.109<\/strong>: 0.10\u3092\u8d85\u3048\u3066\u3044\u308b\u305f\u3081\u3001\u6539\u5584\u306e\u4f59\u5730\u304c\u3042\u308b<\/li>\n\n\n\n<li><strong>SRMR = 0.059<\/strong>: 0.08\u672a\u6e80\u3067\u826f\u597d\u306a\u9069\u5408\u3067\u3042\u308b<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u9069\u5408\u5ea6\u6307\u6a19\u306e\u898b\u65b9<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>CFI (Comparative Fit Index)<\/strong>: \u6bd4\u8f03\u9069\u5408\u5ea6\u6307\u6a19\u30020\u304b\u30891\u306e\u9593\u306e\u5024\u3092\u53d6\u308a\u30010.90\u4ee5\u4e0a\u3001\u7279\u306b0.95\u4ee5\u4e0a\u3067\u3042\u308c\u3070\u826f\u597d\u306a\u9069\u5408\u5ea6\u3068\u5224\u65ad\u3055\u308c\u308b\u3002<\/li>\n\n\n\n<li><strong>TLI (Tucker-Lewis Index)<\/strong>: \u30bf\u30c3\u30ab\u30fc\u30fb\u30eb\u30a4\u30b9\u6307\u6a19\u3002CFI\u3068\u540c\u69d8\u306b\u30010.90\u4ee5\u4e0a\u3001\u7279\u306b0.95\u4ee5\u4e0a\u3067\u3042\u308c\u3070\u826f\u597d\u306a\u9069\u5408\u5ea6\u3068\u5224\u65ad\u3055\u308c\u308b\u3002<\/li>\n\n\n\n<li><strong>RMSEA (Root Mean Square Error of Approximation)<\/strong>: \u8fd1\u4f3c\u306e\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u8aa4\u5dee\u30020.06\u4ee5\u4e0b\u3067\u3042\u308c\u3070\u826f\u3044\u9069\u5408\u5ea6\u30010.08\u4ee5\u4e0b\u3067\u3042\u308c\u3070\u8a31\u5bb9\u3067\u304d\u308b\u9069\u5408\u5ea6\u3068\u5224\u65ad\u3055\u308c\u308b\u3002<\/li>\n\n\n\n<li><strong>SRMR (Starndardized Root Mean Square Residual): <\/strong>\u89b3\u6e2c\u3055\u308c\u305f\u76f8\u95a2\u884c\u5217\u3068\u30e2\u30c7\u30eb\u306b\u3088\u3063\u3066\u63a8\u5b9a\u3055\u308c\u305f\u76f8\u95a2\u884c\u5217\u3068\u306e\u6b8b\u5dee\u306e\u5e73\u5747\u5024\u3002\u30e2\u30c7\u30eb\u3068\u30c7\u30fc\u30bf\u306e\u30ba\u30ec\u3092\u6a19\u6e96\u5316\u3057\u305f\u5c3a\u5ea6\u30020 \u304b\u3089 1 \u306e\u9593\u306e\u5024\u3092\u53d6\u308a\u30010.08 \u4ee5\u4e0b\u3067\u3001\u9069\u5408\u5ea6\u826f\u597d\u3068\u5224\u65ad\u3055\u308c\u308b\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u6f5c\u5728\u5909\u6570\u306e\u6e2c\u5b9a\u30e2\u30c7\u30eb<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u5bb6\u5ead\u74b0\u5883\uff08Household_Environment\uff09<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u89aa\u306e\u6559\u80b2\u30ec\u30d9\u30eb<\/strong>: \u57fa\u6e96\u5909\u6570\uff08\u4fc2\u65701.000\uff09<\/li>\n\n\n\n<li><strong>\u5bb6\u5ead\u5b66\u7fd2\u6642\u9593<\/strong>: 0.810\uff08\u6a19\u6e96\u5316\u4fc2\u65700.732\uff09<\/li>\n\n\n\n<li><strong>\u6559\u80b2\u6295\u8cc7<\/strong>: 1.143\uff08\u6a19\u6e96\u5316\u4fc2\u65700.608\uff09<\/li>\n\n\n\n<li>\u3059\u3079\u3066\u306e\u4fc2\u6570\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\uff08p &lt; 0.001\uff09<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u5b66\u7fd2\u610f\u6b32\uff08Learning_Motivation\uff09<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5bbf\u984c\u52aa\u529b<\/strong>: \u57fa\u6e96\u5909\u6570\uff08\u4fc2\u65701.000\uff09<\/li>\n\n\n\n<li><strong>\u6388\u696d\u53c2\u52a0<\/strong>: 0.721\uff08\u6a19\u6e96\u5316\u4fc2\u65700.656\uff09<\/li>\n\n\n\n<li><strong>\u81ea\u4e3b\u5b66\u7fd2\u6642\u9593<\/strong>: 0.738\uff08\u6a19\u6e96\u5316\u4fc2\u65700.804\uff09<\/li>\n\n\n\n<li>\u3059\u3079\u3066\u306e\u4fc2\u6570\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\uff08p &lt; 0.001\uff09<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u5b66\u696d\u6210\u7e3e\uff08Academic_Performance\uff09<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u56fd\u8a9e\u5f97\u70b9<\/strong>: \u57fa\u6e96\u5909\u6570\uff08\u4fc2\u65701.000\uff09<\/li>\n\n\n\n<li><strong>\u6570\u5b66\u5f97\u70b9<\/strong>: 0.821\uff08\u6a19\u6e96\u5316\u4fc2\u65700.760\uff09<\/li>\n\n\n\n<li><strong>\u7406\u79d1\u5f97\u70b9<\/strong>: 0.662\uff08\u6a19\u6e96\u5316\u4fc2\u65700.693\uff09<\/li>\n\n\n\n<li>\u3059\u3079\u3066\u306e\u4fc2\u6570\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\uff08p &lt; 0.001\uff09<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u6e2c\u5b9a\u30e2\u30c7\u30eb\u306e\u7d50\u679c\u306e\u898b\u65b9<\/h4>\n\n\n\n<p>\u51fa\u529b\u306e<code>Latent Variables<\/code>\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u6f5c\u5728\u5909\u6570\u304c\u305d\u308c\u305e\u308c\u306e\u89b3\u6e2c\u5909\u6570\u306b\u3088\u3063\u3066\u3069\u308c\u3060\u3051\u3088\u304f\u6e2c\u5b9a\u3055\u308c\u3066\u3044\u308b\u304b\uff08\u56e0\u5b50\u8ca0\u8377\u91cf\uff09\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>Household_Environment =~ parent_edu + home_study_time + edu_investment<\/code> \u306e\u3088\u3046\u306b\u3001\u5404\u89b3\u6e2c\u5909\u6570\u306b\u5bfe\u3059\u308b\u56e0\u5b50\u8ca0\u8377\u91cf\u304c\u8868\u793a\u3055\u308c\u308b\u3002<\/li>\n\n\n\n<li><code>Std.all<\/code>\u5217\u306e\u6570\u5024\u304c\u6a19\u6e96\u5316\u3055\u308c\u305f\u56e0\u5b50\u8ca0\u8377\u91cf\u3067\u3042\u308b\u3002\u3053\u306e\u5024\u304c\u5927\u304d\u3044\u307b\u3069\u3001\u305d\u306e\u89b3\u6e2c\u5909\u6570\u304c\u6f5c\u5728\u5909\u6570\u3092\u3088\u304f\u6e2c\u5b9a\u3057\u3066\u3044\u308b\u3068\u8a00\u3048\u308b\u3002p\u5024\u304c0.05\u672a\u6e80\u3067\u3042\u308c\u3070\u3001\u305d\u306e\u89b3\u6e2c\u5909\u6570\u304c\u6f5c\u5728\u5909\u6570\u306b\u5bfe\u3057\u3066\u7d71\u8a08\u7684\u306b\u6709\u610f\u306b\u8ca2\u732e\u3057\u3066\u3044\u308b\u3068\u5224\u65ad\u3067\u304d\u308b\u3002<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u56e0\u5b50\u8ca0\u8377\u91cf\u306e\u5224\u65ad\u57fa\u6e96<\/h5>\n\n\n\n<p>\u56e0\u5b50\u8ca0\u8377\u91cf\u3082\u6a19\u6e96\u5316\u3055\u308c\u305f\u5024\uff08<code>Std.all<\/code>\uff09\u3067\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3042\u308b\u3002\u3053\u308c\u306f\u3001\u5404\u89b3\u6e2c\u5909\u6570\u304c\u3001\u305d\u308c\u304c\u6e2c\u5b9a\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u6f5c\u5728\u5909\u6570\u306b\u3069\u308c\u3060\u3051\u5f37\u304f\u95a2\u9023\u3057\u3066\u3044\u308b\u304b\u3001\u3064\u307e\u308a\u3001\u305d\u306e\u6f5c\u5728\u5909\u6570\u3092\u3069\u308c\u3060\u3051\u3088\u304f\u53cd\u6620\u3057\u3066\u3044\u308b\u304b\u3092\u793a\u3059\u3002<\/p>\n\n\n\n<p>\u56e0\u5b50\u8ca0\u8377\u91cf\u306e\u5224\u65ad\u57fa\u6e96\u306f\u3001\u7814\u7a76\u5206\u91ce\u3084\u6f5c\u5728\u5909\u6570\u306e\u6027\u8cea\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u304c\u3001\u4e00\u822c\u7684\u306b\u306f\u4ee5\u4e0b\u306e\u76ee\u5b89\u304c\u7528\u3044\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>0.70\u4ee5\u4e0a<\/strong>: \u305d\u306e\u89b3\u6e2c\u5909\u6570\u304c\u6f5c\u5728\u5909\u6570\u3092\u975e\u5e38\u306b\u5f37\u304f\u53cd\u6620\u3057\u3066\u3044\u308b\u3068\u898b\u306a\u3055\u308c\u308b\u3002\u7406\u60f3\u7684\u306a\u5024\u3068\u3055\u308c\u308b\u3002<\/li>\n\n\n\n<li><strong>0.50\uff5e0.69<\/strong>: \u6f5c\u5728\u5909\u6570\u3092\u9069\u5207\u306b\u53cd\u6620\u3057\u3066\u3044\u308b\u3068\u898b\u306a\u3055\u308c\u308b\u3002\u8a31\u5bb9\u7bc4\u56f2\u3068\u3055\u308c\u308b\u3053\u3068\u304c\u591a\u3044\u3002<\/li>\n\n\n\n<li><strong>0.30\uff5e0.49<\/strong>: \u6f5c\u5728\u5909\u6570\u3068\u306e\u95a2\u9023\u6027\u306f\u793a\u5506\u3055\u308c\u308b\u304c\u3001\u305d\u306e\u53cd\u6620\u5ea6\u306f\u3084\u3084\u5f31\u3044\u3068\u898b\u306a\u3055\u308c\u308b\u3002\u30e2\u30c7\u30eb\u306b\u3088\u3063\u3066\u306f\u8a31\u5bb9\u3055\u308c\u308b\u5834\u5408\u3082\u3042\u308b\u304c\u3001\u614e\u91cd\u306a\u691c\u8a0e\u304c\u5fc5\u8981\u3067\u3042\u308b\u3002<\/li>\n\n\n\n<li><strong>0.30\u672a\u6e80<\/strong>: \u305d\u306e\u89b3\u6e2c\u5909\u6570\u304c\u6f5c\u5728\u5909\u6570\u3092\u5341\u5206\u306b\u53cd\u6620\u3057\u3066\u3044\u306a\u3044\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u3068\u5224\u65ad\u3055\u308c\u308b\u3002\u901a\u5e38\u3001\u30e2\u30c7\u30eb\u304b\u3089\u306e\u524a\u9664\u3084\u3001\u305d\u306e\u89b3\u6e2c\u5909\u6570\u306e\u518d\u691c\u8a0e\u304c\u63a8\u5968\u3055\u308c\u308b\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u300c\u5b66\u7fd2\u610f\u6b32\u300d\u3068\u3044\u3046\u6f5c\u5728\u5909\u6570\u306b\u5bfe\u3057\u3066\u3001\u300c\u81ea\u4e3b\u5b66\u7fd2\u6642\u9593\u300d\u306e\u56e0\u5b50\u8ca0\u8377\u91cf\uff08\u6a19\u6e96\u5316\u4fc2\u6570\uff09\u304c0.804\u3067\u3042\u308b\u306e\u3067\u3001\u81ea\u4e3b\u5b66\u7fd2\u6642\u9593\u304c\u5b66\u7fd2\u610f\u6b32\u3092\u975e\u5e38\u306b\u826f\u304f\u53cd\u6620\u3057\u3066\u3044\u308b\u3068\u8a00\u3048\u308b\u3002\u4e00\u65b9\u3067\u3001\u4f8b\u3048\u3070\u3001\u56e0\u5b50\u8ca0\u8377\u91cf\u304c0.20\u306a\u3069\u3068\u3066\u3082\u4f4e\u3044\u9805\u76ee\u304c\u3042\u308c\u3070\u3001\u305d\u306e\u89b3\u6e2c\u5909\u6570\u306f\u5b66\u7fd2\u610f\u6b32\u3092\u5341\u5206\u306b\u6e2c\u5b9a\u3067\u304d\u3066\u3044\u306a\u3044\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u30e2\u30c7\u30eb\u306e\u518d\u691c\u8a0e\u304c\u5fc5\u8981\u304b\u3082\u3057\u308c\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u56e0\u5b50\u8ca0\u8377\u91cf\u306f\u3001\u6e2c\u5b9a\u30e2\u30c7\u30eb\u306e\u59a5\u5f53\u6027\u3092\u8a55\u4fa1\u3059\u308b\u4e0a\u3067\u975e\u5e38\u306b\u91cd\u8981\u306a\u6307\u6a19\u3067\u3042\u308b\u3002\u9ad8\u3044\u56e0\u5b50\u8ca0\u8377\u91cf\u3092\u6301\u3064\u89b3\u6e2c\u5909\u6570\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u6f5c\u5728\u5909\u6570\u3092\u3088\u308a\u6b63\u78ba\u306b\u6349\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u7d50\u679c\u3068\u3057\u3066\u69cb\u9020\u30e2\u30c7\u30eb\u306e\u4fe1\u983c\u6027\u3082\u9ad8\u307e\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u69cb\u9020\u30e2\u30c7\u30eb\uff08\u56e0\u679c\u95a2\u4fc2\uff09<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e3b\u8981\u306a\u56e0\u679c\u95a2\u4fc2<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5bb6\u5ead\u74b0\u5883 \u2192 \u5b66\u7fd2\u610f\u6b32<\/strong>: 1.033\uff08\u6a19\u6e96\u5316\u4fc2\u65700.714\uff09\n<ul class=\"wp-block-list\">\n<li>\u7d71\u8a08\u7684\u306b\u6709\u610f\uff08p &lt; 0.001\uff09<\/li>\n\n\n\n<li>\u5bb6\u5ead\u74b0\u5883\u304c\u826f\u597d\u3067\u3042\u308b\u307b\u3069\u3001\u5b66\u7fd2\u610f\u6b32\u304c\u9ad8\u3044<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5b66\u7fd2\u610f\u6b32 \u2192 \u5b66\u696d\u6210\u7e3e<\/strong>: 0.905\uff08\u6a19\u6e96\u5316\u4fc2\u65700.673\uff09\n<ul class=\"wp-block-list\">\n<li>\u7d71\u8a08\u7684\u306b\u6709\u610f\uff08p &lt; 0.001\uff09<\/li>\n\n\n\n<li>\u5b66\u7fd2\u610f\u6b32\u304c\u9ad8\u3044\u307b\u3069\u3001\u5b66\u696d\u6210\u7e3e\u304c\u826f\u3044<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u69cb\u9020\u30e2\u30c7\u30eb\u306e\u7d50\u679c\u306e\u898b\u65b9<\/h4>\n\n\n\n<p>\u3053\u308c\u306f\u6700\u3082\u91cd\u8981\u306a\u90e8\u5206\u306e\u4e00\u3064\u3067\u3042\u308a\u3001\u5909\u6570\u9593\u306e\u95a2\u4fc2\u6027\u306e\u5f37\u3055\u3068\u65b9\u5411\u6027\u3092\u793a\u3059\u3002\u30d1\u30b9\u4fc2\u6570\u3068\u3082\u547c\u3070\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u51fa\u529b\u306e<code>Regressions<\/code>\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u69cb\u9020\u30e2\u30c7\u30eb\u3067\u8a2d\u5b9a\u3057\u305f\u30d1\u30b9\u306e\u4fc2\u6570\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>Learning_Motivation ~ Household_Environment<\/code>: \u3053\u306e\u884c\u306f\u3001\u300c\u5bb6\u5ead\u74b0\u5883\u300d\u304c\u300c\u5b66\u7fd2\u610f\u6b32\u300d\u306b\u4e0e\u3048\u308b\u5f71\u97ff\u3092\u793a\u3059\u3002<code>Estimate<\/code>\u5217\u306e\u6570\u5024\u304c\u30d1\u30b9\u4fc2\u6570\u3067\u3042\u308b\u3002<code>Std.all<\/code>\u306f\u6a19\u6e96\u5316\u3055\u308c\u305f\u30d1\u30b9\u4fc2\u6570\u3067\u3042\u308a\u3001\u3053\u308c\u306f\u6a19\u6e96\u504f\u5dee\u5358\u4f4d\u3067\u8aac\u660e\u3055\u308c\u308b\u305f\u3081\u3001\u7570\u306a\u308b\u30d1\u30b9\u9593\u3067\u5f71\u97ff\u306e\u5927\u304d\u3055\u3092\u6bd4\u8f03\u3059\u308b\u969b\u306b\u4fbf\u5229\u3067\u3042\u308b\u3002<code>P(&gt;|z|)<\/code>\uff08p\u5024\uff09\u304c0.05\u672a\u6e80\u3067\u3042\u308c\u3070\u3001\u305d\u306e\u30d1\u30b9\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u3068\u5224\u65ad\u3067\u304d\u308b\u3002<\/li>\n\n\n\n<li><code>Academic_Performance ~ Learning_Motivation<\/code>: \u540c\u69d8\u306b\u3001\u300c\u5b66\u7fd2\u610f\u6b32\u300d\u304c\u300c\u5b66\u529b\u300d\u306b\u4e0e\u3048\u308b\u5f71\u97ff\u3092\u793a\u3059\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001<code>Learning_Motivation ~ Household_Environment<\/code>\u306e\u6a19\u6e96\u5316\u30d1\u30b9\u4fc2\u6570\u304c0.50\u3067p\u5024\u304c0.001\u3067\u3042\u3063\u305f\u5834\u5408\u3001\u3053\u308c\u306f\u300c\u5bb6\u5ead\u74b0\u5883\u300d\u304c\u300c\u5b66\u7fd2\u610f\u6b32\u300d\u306b\u5bfe\u3057\u3066\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u6b63\u306e\u5f71\u97ff\u3092\u4e0e\u3048\u3001\u305d\u306e\u5f71\u97ff\u306e\u5927\u304d\u3055\u304c\u6bd4\u8f03\u7684\u306b\u5f37\u3044\u3053\u3068\u3092\u793a\u5506\u3059\u308b\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\u6a19\u6e96\u5316\u30d1\u30b9\u4fc2\u6570\u306e\u5224\u65ad\u57fa\u6e96\uff1a\u76f8\u95a2\u4fc2\u6570\u3068\u306e\u6bd4\u8f03<\/h5>\n\n\n\n<p>\u6a19\u6e96\u5316\u30d1\u30b9\u4fc2\u6570\u306f\u3001\u305d\u306e\u5024\u304c-1\u304b\u30891\u306e\u7bc4\u56f2\u306b\u3042\u308a\u3001<strong>\u6a19\u6e96\u504f\u5dee1\u5358\u4f4d\u306e\u5909\u5316\u304c\u88ab\u8aac\u660e\u5909\u6570\u306b\u4e0e\u3048\u308b\u6a19\u6e96\u504f\u5dee\u5358\u4f4d\u3067\u306e\u5909\u5316<\/strong>\u3092\u8868\u3059\u3002\u3053\u306e\u70b9\u306f\u3001-1\u304b\u30891\u306e\u7bc4\u56f2\u3067\u5909\u6570\u9593\u306e\u7dda\u5f62\u306a\u95a2\u9023\u6027\u306e\u5f37\u3055\u3068\u65b9\u5411\u3092\u793a\u3059<strong>\u76f8\u95a2\u4fc2\u6570<\/strong>\u3068\u975e\u5e38\u306b\u4f3c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u4e00\u822c\u7684\u306b\u3001\u6a19\u6e96\u5316\u30d1\u30b9\u4fc2\u6570\u306e\u5f37\u3055\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u89e3\u91c8\u3055\u308c\u308b\u3053\u3068\u304c\u591a\u3044\u3002\u305f\u3060\u3057\u3001\u3053\u308c\u306f\u3042\u304f\u307e\u3067\u76ee\u5b89\u3067\u3042\u308a\u3001\u7814\u7a76\u5206\u91ce\u3084\u6587\u8108\u306b\u3088\u3063\u3066\u9069\u5207\u306a\u5224\u65ad\u57fa\u6e96\u306f\u7570\u306a\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u00b10.10 \u672a\u6e80<\/strong>: \u5f71\u97ff\u304c\u5c0f\u3055\u3044\uff08\u5f31\u3044\uff09<\/li>\n\n\n\n<li><strong>\u00b10.10 \uff5e \u00b10.30<\/strong>: \u5f71\u97ff\u304c\u4e2d\u7a0b\u5ea6<\/li>\n\n\n\n<li><strong>\u00b10.30 \u4ee5\u4e0a<\/strong>: \u5f71\u97ff\u304c\u5927\u304d\u3044\uff08\u5f37\u3044\uff09<\/li>\n<\/ul>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u3068\u306e\u9055\u3044\u306f\u3001\u76f8\u95a2\u4fc2\u6570\u304c\u5358\u7d14\u306b2\u3064\u306e\u5909\u6570\u9593\u306e\u95a2\u9023\u6027\u3092\u793a\u3059\u306e\u306b\u5bfe\u3057\u3001\u6a19\u6e96\u5316\u30d1\u30b9\u4fc2\u6570\u306f<strong>\u4ed6\u306e\u5909\u6570\u306e\u5f71\u97ff\u3092\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u3057\u305f\u4e0a\u3067\u306e\u3001\u3042\u308b\u5909\u6570\u304b\u3089\u5225\u306e\u5909\u6570\u3078\u306e\u76f4\u63a5\u7684\u306a\u5f71\u97ff<\/strong>\u3092\u793a\u3059\u70b9\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u5358\u7d14\u306a\u76f8\u95a2\u4fc2\u6570\u3067\u306f\u3001\u5bb6\u5ead\u74b0\u5883\u3068\u5b66\u529b\u306b\u5f37\u3044\u6b63\u306e\u76f8\u95a2\u304c\u898b\u3089\u308c\u305f\u3068\u3057\u3066\u3082\u3001SEM\u306e\u30d1\u30b9\u4fc2\u6570\u3092\u898b\u308b\u3068\u3001\u5bb6\u5ead\u74b0\u5883\u304c\u76f4\u63a5\u5b66\u529b\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u5b66\u7fd2\u610f\u6b32\u3092\u4ecb\u3057\u3066\u9593\u63a5\u7684\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3001\u3068\u3044\u3063\u305f\u5834\u5408\u304c\u3042\u308b\u3002SEM\u306e\u30d1\u30b9\u4fc2\u6570\u306f\u3001\u5358\u306a\u308b\u76f8\u95a2\u3067\u306f\u306a\u304f\u3001\u30e2\u30c7\u30eb\u5185\u3067\u4eee\u5b9a\u3055\u308c\u305f\u56e0\u679c\u95a2\u4fc2\u306e\u7d4c\u8def\u306b\u304a\u3051\u308b\u5f71\u97ff\u529b\u3092\u793a\u5506\u3059\u308b\u305f\u3081\u3001\u3088\u308a\u8a73\u7d30\u306a\u95a2\u4fc2\u6027\u3092\u8aad\u307f\u89e3\u304f\u3053\u3068\u304c\u53ef\u80fd\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4fee\u6b63\u6307\u6a19\u306b\u3088\u308b\u6539\u5584\u63d0\u6848<\/h3>\n\n\n\n<p>\u4e0a\u4f4d\u306e\u4fee\u6b63\u6307\u6a19\u304b\u3089\u4ee5\u4e0b\u306e\u6539\u5584\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5bbf\u984c\u52aa\u529b\u3068\u6388\u696d\u53c2\u52a0\u306e\u9593\u306e\u76f8\u95a2<\/strong>\uff08MI = 20.451\uff09\n<ul class=\"wp-block-list\">\n<li>\u3053\u308c\u30892\u3064\u306e\u5909\u6570\u9593\u306b\u76f4\u63a5\u7684\u306a\u76f8\u95a2\u95a2\u4fc2\u3092\u8ffd\u52a0\u3059\u308b\u3053\u3068\u3067\u30e2\u30c7\u30eb\u9069\u5408\u5ea6\u304c\u5411\u4e0a\u3059\u308b<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5bb6\u5ead\u5b66\u7fd2\u6642\u9593\u3068\u81ea\u4e3b\u5b66\u7fd2\u6642\u9593\u306e\u9593\u306e\u76f8\u95a2<\/strong>\uff08MI = 15.369\uff09\n<ul class=\"wp-block-list\">\n<li>\u5bb6\u5ead\u3067\u306e\u5b66\u7fd2\u6642\u9593\u3068\u81ea\u4e3b\u7684\u306a\u5b66\u7fd2\u6642\u9593\u306b\u76f8\u95a2\u95a2\u4fc2\u3092\u8ffd\u52a0\u3059\u308b<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5bb6\u5ead\u74b0\u5883\u304b\u3089\u81ea\u4e3b\u5b66\u7fd2\u6642\u9593\u3078\u306e\u76f4\u63a5\u52b9\u679c<\/strong>\uff08MI = 12.997\uff09\n<ul class=\"wp-block-list\">\n<li>\u5bb6\u5ead\u74b0\u5883\u304c\u81ea\u4e3b\u5b66\u7fd2\u6642\u9593\u306b\u76f4\u63a5\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u7dcf\u5408\u7684\u306a\u89e3\u91c8<\/h3>\n\n\n\n<p>\u3053\u306e\u30e2\u30c7\u30eb\u306f\u3001<strong>\u5bb6\u5ead\u74b0\u5883\u304c\u5b66\u7fd2\u610f\u6b32\u3092\u4ecb\u3057\u3066\u5b66\u696d\u6210\u7e3e\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b<\/strong>\u3068\u3044\u3046\u4eee\u8aac\u3092\u652f\u6301\u3057\u3066\u3044\u308b\u3002\u9069\u5408\u5ea6\u6307\u6a19\u306f\u6982\u306d\u826f\u597d\u3067\u3042\u308a\u3001\u56e0\u679c\u95a2\u4fc2\u3082\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u3002\u305f\u3060\u3057\u3001RMSEA\u304c\u3084\u3084\u9ad8\u3044\u305f\u3081\u3001\u4fee\u6b63\u6307\u6a19\u306b\u57fa\u3065\u304f\u30e2\u30c7\u30eb\u306e\u6539\u5584\u3092\u691c\u8a0e\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u826f\u3044\u9069\u5408\u5ea6\u3092\u5f97\u3089\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 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