{"id":683,"date":"2026-01-05T15:06:08","date_gmt":"2026-01-05T06:06:08","guid":{"rendered":"http:\/\/waurimal.kr\/?p=683"},"modified":"2026-01-05T15:06:09","modified_gmt":"2026-01-05T06:06:09","slug":"chap-37-%eb%b9%84%ec%84%a0%ed%98%95-%ea%b5%ac%ec%a1%b0%eb%b0%a9%ec%a0%95%ec%8b%9d-%eb%aa%a8%ed%98%95-nonlinear-structural-equation-models","status":"publish","type":"post","link":"http:\/\/waurimal.kr\/?p=683","title":{"rendered":"Chap 37. \ube44\uc120\ud615 \uad6c\uc870\ubc29\uc815\uc2dd \ubaa8\ud615 (Nonlinear Structural Equation Models)"},"content":{"rendered":"\n<p>\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88\uc5d0\ub294 \uad6c\uc870\ubc29\uc815\uc2dd \ubaa8\ud615(SEM)\uc758 \uac00\uc7a5 \ud765\ubbf8\ub86d\uace0 \ub3c4\uc804\uc801\uc778 \uc601\uc5ed\uc778 <strong>&#8220;\ube44\uc120\ud615 \uad6c\uc870\ubc29\uc815\uc2dd \ubaa8\ud615(Nonlinear Structural Equation Models; NSEMs)<\/strong>\uc744 \ud0d0\uad6c\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<p>\ub9ce\uc740 \uc5f0\uad6c\uc790\ub098 \ud559\uc0dd\ub4e4\uc774 &#8220;\ubcc0\uc218 \uac04\uc758 \uad00\uacc4\ub294 \uc9c1\uc120(\uc120\ud615)\uc774\ub2e4&#8221;\ub77c\ub294 \uac00\uc815\ud558\uc5d0 \ubd84\uc11d\uc744 \uc218\ud589\ud569\ub2c8\ub2e4. \ud558\uc9c0\ub9cc, \uad50\uc721 \ud604\uc7a5\uc758 \uc2e4\uc81c \ub370\uc774\ud130\ub294 \uc5b4\ub5a4\uac00\uc694? \ud559\uc2b5 \uc2dc\uac04\uc774 \ub298\uc5b4\ub09c\ub2e4\uace0 \uc131\uc801\uc774 \ubb34\ud55c\uc815 \uc624\ub974\ub098\uc694? (\uc9c0\uce58\uba74 \ub5a8\uc5b4\uc9c0\uaca0\uc8e0?) \ud765\ubbf8\uac00 \uc131\ucde8\ub3c4\uc5d0 \ubbf8\uce58\ub294 \uc601\ud5a5\uc774 \ubaa8\ub4e0 \ud559\uc0dd\uc5d0\uac8c \ub611\uac19\uc744\uae4c\uc694? (\ud6a8\ub2a5\uac10\uc5d0 \ub530\ub77c \ub2e4\ub974\uaca0\uc8e0?)<\/p>\n\n\n\n<p>\uc624\ub298\uc740 \ud604\uc2e4\uc744 \ub354 \uc815\uad50\ud558\uac8c \ubc18\uc601\ud558\ub294 <strong>\ube44\uc120\ud615 \ubaa8\ud615<\/strong>\ub4e4\uc744 jamovi\uc640 R\uc744 \ud65c\uc6a9\ud574 \ubc30\uc6cc\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. \uc65c \ube44\uc120\ud615\uc778\uac00?<\/h2>\n\n\n\n<p>\uc804\ud1b5\uc801\uc778 SEM\uc740 \ubcc0\uc218 \uac04\uc758 \uad00\uacc4\ub97c \uc120\ud615(linear)\uc73c\ub85c \uac00\uc815\ud569\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \uc778\uac04\uc758 \ud589\ub3d9, \ub2a5\ub825, \ud0dc\ub3c4\ub294 \ub2e8\uc21c\ud788 \uc9c1\uc120\uc73c\ub85c \uc124\uba85\ud558\uae30 \uc5b4\ub824\uc6b4 \uacbd\uc6b0\uac00 \ub9ce\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\ud3ec\ud654 \ud6a8\uacfc(Saturation):<\/strong> \ucd08\uae30\uc5d0\ub294 \ud22c\uc785 \ud6a8\uacfc\uac00 \ud06c\uc9c0\ub9cc \uac08\uc218\ub85d \uc904\uc5b4\ub4dc\ub294 \uacbd\uc6b0.<\/li>\n\n\n\n<li><strong>\uc784\uacc4\uc810(Threshold):<\/strong> \ud2b9\uc815 \uc218\uc900\uc744 \ub118\uc5b4\uc11c\uc57c \ud6a8\uacfc\uac00 \ub098\ud0c0\ub098\ub294 \uacbd\uc6b0.<\/li>\n\n\n\n<li><strong>\uc0c1\ud638\uc791\uc6a9(Interaction):<\/strong> \ud55c \ubcc0\uc218\uc758 \ud6a8\uacfc\uac00 \ub2e4\ub978 \ubcc0\uc218\uc758 \uc218\uc900\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9c0\ub294 \uacbd\uc6b0.<\/li>\n<\/ul>\n\n\n\n<p>Harring\uacfc Zou(\uc800\uc790)\ub294 \uc774\ub7ec\ud55c \ubcf5\uc7a1\ud55c \uad00\uacc4\ub97c \ub2e4\ub8e8\uae30 \uc704\ud574 <strong>\uc77c\ubc18 \ube44\uc120\ud615 \ub2e4\uce35 \uad6c\uc870\ubc29\uc815\uc2dd \ud63c\ud569 \ubaa8\ud615(GNM-SEMM)<\/strong>\uc774\ub77c\ub294 \ud1b5\ud569\ub41c \ud504\ub808\uc784\uc6cc\ud06c\ub97c \uc81c\uc2dc\ud569\ub2c8\ub2e4. \uc774\ub984\uc774 \uae38\uace0 \uc5b4\ub835\uc8e0? \uc27d\uac8c \ub9d0\ud574 <strong>&#8220;\ube44\uc120\ud615(\uace1\uc120) + \ub2e4\uce35(\ud559\uad50-\ud559\uc0dd) + \ud63c\ud569(\uc7a0\uc7ac\uc9d1\ub2e8)&#8221;<\/strong>\uc744 \ubaa8\ub450 \uace0\ub824\ud560 \uc218 \uc788\ub294 \ub9cc\ub2a5 \ud2c0\uc774\ub77c\uace0 \uc0dd\uac01\ud558\uba74 \ub429\ub2c8\ub2e4.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. \ubaa8\uc758 \ub370\uc774\ud130 \uc0dd\uc131: &#8220;\ud559\uc2b5 \uc2dc\uac04\uacfc \ud559\uc5c5 \uc131\ucde8\ub3c4&#8221;<\/h2>\n\n\n\n<p>\uc774\ub860\ub9cc \ubcf4\uba74 \uc9c0\ub8e8\ud558\ub2c8, \uac00\uc0c1\uc758 \uad50\uc721 \uc0c1\ud669\uc744 \ub9cc\ub4e4\uc5b4 \ubd05\uc2dc\ub2e4.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>[\uc2dc\ub098\ub9ac\uc624: \ubcbc\ub77d\uce58\uae30\uc758 \ud6a8\uc728\uc131]<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\uc0c1\ud669:<\/strong> \ud55c \uace0\ub4f1\ud559\uad50\uc5d0\uc11c \ud559\uc0dd\ub4e4\uc758 <strong>&#8216;\uc9d1\uc911 \ud559\uc2b5 \uc2dc\uac04(Study)&#8217;<\/strong>\uacfc <strong>&#8216;\ucd5c\uc885 \uc2dc\ud5d8 \uc810\uc218(Score)&#8217;<\/strong>\uc758 \uad00\uacc4\ub97c \uc5f0\uad6c\ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\uac00\uc124:<\/strong> \ud559\uc2b5 \uc2dc\uac04\uc774 \ub298\uc5b4\ub098\uba74 \uc810\uc218\ub294 \uc624\ub974\uc9c0\ub9cc, \uc77c\uc815 \uc2dc\uac04\uc774 \uc9c0\ub098\uba74 \ud53c\ub85c \ub204\uc801\uc73c\ub85c \uc778\ud574 \uc810\uc218 \uc0c1\uc2b9\ud3ed\uc774 \ub454\ud654\ub418\uac70\ub098 \uc624\ud788\ub824 \ub5a8\uc5b4\uc9c8 \uac83\uc774\ub2e4(\uc5ed U\uc790\ud615, \uc989 \uc774\ucc28\ud568\uc218 \uad00\uacc4).<\/li>\n<\/ul>\n<\/blockquote>\n\n\n\n<p>\uc774 \uc2dc\ub098\ub9ac\uc624\ub97c \ubc14\ud0d5\uc73c\ub85c \ubd84\uc11d\uc744 \uc9c4\ud589\ud558\uaca0\uc2b5\ub2c8\ub2e4. jamovi\ub294 \uae30\ubcf8\uc801\uc73c\ub85c \ud074\ub9ad \uae30\ubc18\uc774\uc9c0\ub9cc, \ube44\uc120\ud615 SEM\uacfc \uac19\uc740 \uace0\uae09 \ubd84\uc11d\uc740 R \ucf54\ub4dc\ub97c \ud65c\uc6a9\ud574\uc57c \uc815\ud655\ud569\ub2c8\ub2e4. jamovi\uc758 <code>Rj<\/code> \ubaa8\ub4c8\uc774\ub098 RStudio\ub97c \uc0ac\uc6a9\ud560 \uc218 \uc788\ub3c4\ub85d \ucf54\ub4dc\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n<p>R<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># R \ucf54\ub4dc: \ubaa8\uc758 \ub370\uc774\ud130 \uc0dd\uc131\nset.seed(1234)\nN &lt;- 500\n\n# \uc7a0\uc7ac\ubcc0\uc218 \uc0dd\uc131 (Study: \ud559\uc2b5\ubab0\uc785, Score: \uc131\ucde8\ub3c4)\n# Study\ub294 \ud3c9\uade0 0, \ubd84\uc0b0 1\uc778 \uc815\uaddc\ubd84\ud3ec\nStudy_Latent &lt;- rnorm(N, 0, 1)\n\n# \uad6c\uc870 \ubaa8\ud615: \ube44\uc120\ud615 \uad00\uacc4 (\uc774\ucc28\ud568\uc218)\n# Score = 50 + 10*Study - 3*Study^2 + Error\n# \ud559\uc2b5\ub7c9\uc774 \ub108\ubb34 \ub9ce\uc73c\uba74 \uc131\ucde8\ub3c4\uac00 \ub5a8\uc5b4\uc9c0\ub294 \uc5ed U\uc790\ud615\nScore_Latent &lt;- 0.5 * Study_Latent - 0.3 * (Study_Latent^2) + rnorm(N, 0, 0.5)\n\n# \uce21\uc815 \ubcc0\uc218 \uc0dd\uc131 (Factor Loading\uc744 \uace0\ub824\ud55c \uad00\uce21\ubcc0\uc218)\n# Study \uc9c0\ud45c (x1, x2, x3)\nx1 &lt;- 1.0 * Study_Latent + rnorm(N, 0, 0.4)\nx2 &lt;- 0.9 * Study_Latent + rnorm(N, 0, 0.4)\nx3 &lt;- 1.1 * Study_Latent + rnorm(N, 0, 0.4)\n\n# Score \uc9c0\ud45c (y1, y2, y3)\ny1 &lt;- 1.0 * Score_Latent + rnorm(N, 0, 0.4)\ny2 &lt;- 0.8 * Score_Latent + rnorm(N, 0, 0.4)\ny3 &lt;- 1.2 * Score_Latent + rnorm(N, 0, 0.4)\n\nData &lt;- data.frame(x1, x2, x3, y1, y2, y3)\nhead(Data)\n<\/code><\/pre>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-53c8ebf9-1745-4c25-b9a7-95abaf1ab66d\" href=\"http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/01\/chap37.csv\">chap37<\/a><a href=\"http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/01\/chap37.csv\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-53c8ebf9-1745-4c25-b9a7-95abaf1ab66d\">\ub2e4\uc6b4\ub85c\ub4dc<\/a><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">3. \ud30c\ub77c\uba54\ud2b8\ub9ad \ube44\uc120\ud615 SEM (Parametric NSEMs)<\/h2>\n\n\n\n<p>\ud30c\ub77c\uba54\ud2b8\ub9ad \uc811\uadfc\uc740 \uc5f0\uad6c\uc790\uac00 <strong>&#8220;\uc774 \ub370\uc774\ud130\ub294 \uc774\ub7f0 \ud568\uc218 \ubaa8\uc591\uc77c \uac70\uc57c&#8221;<\/strong>\ub77c\uace0 \ubbf8\ub9ac \ubaa8\uc591(\ud568\uc218)\uc744 \uc815\ud574\ub193\uace0 \ubd84\uc11d\ud558\ub294 \ubc29\ubc95\uc785\ub2c8\ub2e4. \uad50\uc7ac\uc5d0\uc11c\ub294 \uc138 \uac00\uc9c0 \uc8fc\uc694 \ud568\uc218\ub97c \uc18c\uac1c\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">A. \uc774\ucc28 \ud568\uc218 (Quadratic Function)<\/h3>\n\n\n\n<p>\uac00\uc7a5 \ub110\ub9ac \uc4f0\uc774\ub294 \ube44\uc120\ud615 \ubaa8\ud615\uc785\ub2c8\ub2e4. \uc6b0\ub9ac\uc758 \uc2dc\ub098\ub9ac\uc624\ucc98\ub7fc &#8220;\uc801\ub2f9\ud560 \ub54c\uac00 \uc81c\uc77c \uc88b\ub2e4(\uc5ed U\uc790)&#8221; \ud639\uc740 &#8220;\uac08\uc218\ub85d \uac00\uc18d\ub3c4\uac00 \ubd99\ub294\ub2e4(U\uc790)&#8221;\ub97c \uc124\uba85\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\uc218\uc2dd:<\/strong> <math data-latex=\"\\eta = \\gamma_0 + \\gamma_1\\xi + \\gamma_2\\xi^2 + \\zeta\"><semantics><mrow><mi>\u03b7<\/mi><mo>=<\/mo><msub><mi>\u03b3<\/mi><mn>0<\/mn><\/msub><mo>+<\/mo><msub><mi>\u03b3<\/mi><mn>1<\/mn><\/msub><mi>\u03be<\/mi><mo>+<\/mo><msub><mi>\u03b3<\/mi><mn>2<\/mn><\/msub><msup><mi>\u03be<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>\u03b6<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\eta = \\gamma_0 + \\gamma_1\\xi + \\gamma_2\\xi^2 + \\zeta<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li>\uc5ec\uae30\uc11c <math data-latex=\"\\xi^2\"><semantics><msup><mi>\u03be<\/mi><mn>2<\/mn><\/msup><annotation encoding=\"application\/x-tex\">\\xi^2<\/annotation><\/semantics><\/math> \ud56d\uc774 \uc720\uc758\ud558\uba74 \ube44\uc120\ud615 \uad00\uacc4\uac00 \uc785\uc99d\ub429\ub2c8\ub2e4.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">B. Jenss-Bayley \ud568\uc218<\/h3>\n\n\n\n<p>\ubc1c\ub2ec \uc2ec\ub9ac\ud559\uc5d0\uc11c \uc8fc\ub85c \uc0ac\uc6a9\ub418\ub294\ub370, \uae09\uaca9\ud788 \uc131\uc7a5\ud558\ub2e4\uac00 \uc810\ucc28 \uc644\ub9cc\ud574\uc9c0\uba70 \ud2b9\uc815 \uc218\uc900\uc5d0 \uc218\ub834\ud558\ub294 \ud615\ud0dc\ub97c \uc124\uba85\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\ud2b9\uc9d5:<\/strong> \uc9c0\uc218 \ud568\uc218\uc640 \uc120\ud615 \ud568\uc218\uac00 \uacb0\ud569\ub41c \ud615\ud0dc\uc785\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\uc218\uc2dd:<\/strong> <math data-latex=\"VC_i = \\gamma_1 + \\gamma_2 NF_i - \\exp(\\gamma_3 + \\gamma_4 NF_i)\"><semantics><mrow><mi>V<\/mi><msub><mi>C<\/mi><mi>i<\/mi><\/msub><mo>=<\/mo><msub><mi>\u03b3<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>\u03b3<\/mi><mn>2<\/mn><\/msub><mi>N<\/mi><msub><mi>F<\/mi><mi>i<\/mi><\/msub><mo>\u2212<\/mo><mrow><mi>exp<\/mi><mo>\u2061<\/mo><\/mrow><mo form=\"prefix\" stretchy=\"false\">(<\/mo><msub><mi>\u03b3<\/mi><mn>3<\/mn><\/msub><mo>+<\/mo><msub><mi>\u03b3<\/mi><mn>4<\/mn><\/msub><mi>N<\/mi><msub><mi>F<\/mi><mi>i<\/mi><\/msub><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">VC_i = \\gamma_1 + \\gamma_2 NF_i &#8211; \\exp(\\gamma_3 + \\gamma_4 NF_i)<\/annotation><\/semantics><\/math><sup>7<\/sup>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">C. \uad6c\ubd84\uc801 \ud568\uc218 (Piecewise Function)<\/h3>\n\n\n\n<p>\ub370\uc774\ud130\uc758 \uad6c\uac04\uc744 \ub098\ub204\uc5b4 \uc11c\ub85c \ub2e4\ub978 \uad00\uacc4\ub97c \uac00\uc815\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\uc608:<\/strong> \ud559\uc2b5 \uc2dc\uac04\uc774 5\uc2dc\uac04 \ubbf8\ub9cc\uc77c \ub54c\ub294 \uac00\ud30c\ub978 \uc0c1\uc2b9, 5\uc2dc\uac04 \uc774\uc0c1\uc77c \ub54c\ub294 \uc644\ub9cc\ud55c \uc0c1\uc2b9.<\/li>\n\n\n\n<li><strong>\ud2b9\uc9d5:<\/strong> \ub450 \uad6c\uac04\uc774 \ub9cc\ub098\ub294 \uc9c0\uc810(knot)\uc744 \ucc3e\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">[\ubd84\uc11d \uc608\uc2dc] R\/jamovi(lavaan)\ub97c \uc774\uc6a9\ud55c \uc774\ucc28 \ud568\uc218 \ubd84\uc11d<\/h4>\n\n\n\n<p>\uc774\ucc28 \ud568\uc218\ub098 \uc0c1\ud638\uc791\uc6a9\uc740 <code>lavaan<\/code> \ud328\ud0a4\uc9c0\uc758 <code>indProd<\/code> \ub4f1\uc744 \ud1b5\ud574 \uad6c\ud604\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<p>R<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># R \ucf54\ub4dc: \uc774\ucc28\ud56d(Quadratic) \ud3ec\ud568 SEM \ubd84\uc11d\nlibrary(lavaan)\n\n# 1. \uce21\uc815 \ubaa8\ud615 \uc815\uc758\nmodel &lt;- '\n  # \uc7a0\uc7ac\ubcc0\uc218 \uc815\uc758\n  Study =~ x1 + x2 + x3\n  Score =~ y1 + y2 + y3\n  \n  # \uc0c1\ud638\uc791\uc6a9(\uc774\ucc28\ud56d)\uc744 \uc704\ud55c \uc815\uc758 (LMS \ubc29\uc2dd \ub4f1\uc740 Mplus\uac00 \uac15\uc810\uc774\uc9c0\ub9cc, \uc5ec\uae30\uc11c\ub294 \uad00\uce21\ubcc0\uc218 \uacf1 \ud65c\uc6a9 \uc811\uadfc \uc608\uc2dc)\n  # \uc2e4\uc81c\ub85c\ub294 indProd \ub4f1\uc744 \uc368\uc11c \uad50\ucc28\ud56d\uc744 \ub9cc\ub4ed\ub2c8\ub2e4.\n  # \uc5ec\uae30\uc11c\ub294 \uac1c\ub150\uc801 \uc774\ud574\ub97c \uc704\ud574 \ub2e8\uc21c\ud654\ud55c \uad6c\uc870\ubc29\uc815\uc2dd \uad6c\ubb38\uc744 \uc501\ub2c8\ub2e4.\n  \n  Score ~ Study\n'\n# *\ucc38\uace0: R\uc758 lavaan\uc5d0\uc11c\ub294 \uae30\ubcf8\uc801\uc73c\ub85c \ube44\uc120\ud615 \uc7a0\uc7ac\ubcc0\uc218(Study^2)\ub97c \uc9c1\uc811 \uc9c0\uc6d0\ud558\uc9c0 \uc54a\uc544 \n# \uad00\uce21\ubcc0\uc218\ub97c \uc81c\uacf1\ud558\uc5ec Product Indicator\ub97c \ub9cc\ub4dc\ub294 \ubc29\uc2dd\uc744 \uc8fc\ub85c \uc501\ub2c8\ub2e4.\n<\/code><\/pre>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>WaurimaL\uc758 \ud301:<\/strong> \uad50\uc7ac\uc758 \uc608\uc81c\uc778 \uc2dc\uc560\ud2c0 \uc885\ub2e8 \uc5f0\uad6c(SLS)\uc5d0\uc11c\ub294 &#8216;\uc5b8\uc5b4 \uc774\ud574\ub825(VC)&#8217;\uc744 &#8216;\uc218\ub9ac \ub2a5\ub825(NF)&#8217;\uc73c\ub85c \uc608\uce21\ud560 \ub54c, \uc774\ucc28 \ud568\uc218 \ubaa8\ud615\uacfc Jenss-Bayley \ubaa8\ud615\uc744 \ube44\uad50\ud588\uc2b5\ub2c8\ub2e4. \uacb0\uacfc\uc801\uc73c\ub85c Jenss-Bayley \ubaa8\ud615\uc774 \ub354 \uc801\ud569\ud55c \uac83\uc73c\ub85c \ub098\ud0c0\ub0ac\ub294\ub370, \uc774\ub294 \uc218\ub9ac \ub2a5\ub825\uc774 \ub192\uc744\uc218\ub85d \uc5b8\uc5b4 \uc774\ud574\ub825\ub3c4 \ub192\uc544\uc9c0\uc9c0\ub9cc \uc5b4\ub290 \uc21c\uac04\ubd80\ud130\ub294 \uadf8 \uc99d\uac00\ud3ed\uc774 \uc904\uc5b4\ub4e0\ub2e4\ub294 \uac83\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">4. \uc900\ud30c\ub77c\uba54\ud2b8\ub9ad SEMM (Semiparametric SEMM)<\/h2>\n\n\n\n<p>\uc5f0\uad6c\uc790\uac00 &#8220;\ub3c4\ub300\uccb4 \ubb34\uc2a8 \ubaa8\uc591\uc778\uc9c0 \uac10\uc774 \uc548 \uc7a1\ud790 \ub54c&#8221; \uc0ac\uc6a9\ud558\ub294 \ubc29\ubc95\uc785\ub2c8\ub2e4.<\/p>\n\n\n\n<p>\ud2b9\uc815\ud55c \uace1\uc120 \uc2dd\uc744 \uac00\uc815\ud558\ub294 \ub300\uc2e0, \uc5ec\ub7ec \uac1c\uc758 \uc9c1\uc120(\uc120\ud615 \ubaa8\ud615)\uc744 \uc11e\uc5b4\uc11c(Mixture) \uace1\uc120\uc744 \uadfc\uc0ac\ud558\ub294 \ubc29\uc2dd\uc785\ub2c8\ub2e4.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\uc6d0\ub9ac:<\/strong> \ub9c8\uce58 \uace1\uc120\uc744 \uc544\uc8fc \uc9e7\uc740 \uc9c1\uc120\ub4e4\uc758 \uc9d1\ud569\uc73c\ub85c \uadf8\ub9ac\ub294 \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4. \uc7a0\uc7ac \uacc4\uce35(Latent Class)\uc744 \ub098\ub204\uace0, \uac01 \uacc4\uce35\ub9c8\ub2e4 \uc11c\ub85c \ub2e4\ub978 \uc120\ud615 \ud68c\uadc0\uc2dd\uc744 \uc801\uc6a9\ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\uc7a5\uc810:<\/strong> \ub370\uc774\ud130\uac00 \uc815\uaddc\ubd84\ud3ec\ub97c \ub530\ub974\uc9c0 \uc54a\uc544\ub3c4(\ube44\uc815\uaddc\uc131) \uc798 \uc791\ub3d9\ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\ud574\uc11d:<\/strong> \uac01 \uacc4\uce35(Class)\uc744 \ud569\uccd0\uc11c(\uac00\uc911 \ud3c9\uade0) \uc804\uccb4\uc801\uc778 \ube44\uc120\ud615 \uad00\uacc4\ub97c \ucd94\uc815\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"723\" height=\"760\" src=\"http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/01\/fig37-1.png\" alt=\"\" class=\"wp-image-685\" srcset=\"http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/01\/fig37-1.png 723w, http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/01\/fig37-1-285x300.png 285w, http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/01\/fig37-1-624x656.png 624w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" \/><\/figure>\n\n\n\n<p>[\uadf8\ub9bc \uc124\uba85]<\/p>\n\n\n\n<p>\uc704 \uadf8\ub9bc\uc744 \ubcf4\uba74, 3\uac1c\uc758 \uc7a0\uc7ac \uacc4\uce35(\uc810\uc120\ub4e4)\uc774 \uac01\uae30 \ub2e4\ub978 \uae30\uc6b8\uae30\ub97c \uac00\uc9c0\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub4e4\uc744 \ud569\uce58\ub2c8 \uc804\uccb4\uc801\uc73c\ub85c \ubd80\ub4dc\ub7ec\uc6b4 \uace1\uc120(\uc2e4\uc120)\uc774 \ub9cc\ub4e4\uc5b4\uc9d1\ub2c8\ub2e4.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">5. \ub2e4\uce35 \ubc0f \uc0c1\ud638\uc791\uc6a9 NSEM (Multilevel &amp; Interaction)<\/h2>\n\n\n\n<p>\uad50\uc721 \ub370\uc774\ud130\ub294 \ud559\uc0dd\uc774 \ud559\uad50\uc5d0 \uc18c\uc18d\ub41c <strong>\uc704\uacc4\uc801(Nested)<\/strong> \uad6c\uc870\ub97c \uac00\uc9d1\ub2c8\ub2e4. \uc774\ub97c \ubb34\uc2dc\ud558\uba74 \uc624\ub958\uac00 \ubc1c\uc0dd\ud569\ub2c8\ub2e4. \uad50\uc7ac\uc758 TIMSS 2011 \ub370\uc774\ud130 \ubd84\uc11d \uc608\uc2dc\ub97c \ud1b5\ud574 \uc54c\uc544\ubd05\uc2dc\ub2e4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\ubd84\uc11d \uc2dc\ub098\ub9ac\uc624: \uc218\ud559 \uc131\ucde8\ub3c4 \uc608\uce21<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\uc218\uc900 1 (\ud559\uc0dd):<\/strong> \uc218\ud559 \ud6a8\ub2a5\uac10(Self-Efficacy), \uc218\ud559 \ud765\ubbf8(Interest)<\/li>\n\n\n\n<li><strong>\uc218\uc900 2 (\ud559\uad50):<\/strong> \ud559\uad50 \ud3c9\uade0 \ud6a8\ub2a5\uac10, \ud559\uad50 \ud3c9\uade0 \ud765\ubbf8<\/li>\n\n\n\n<li><strong>\uc885\uc18d\ubcc0\uc218:<\/strong> \uc218\ud559 \uc131\ucde8\ub3c4(Math Achievement)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\uc8fc\uc694 \ubc1c\uacac (TIMSS \ub370\uc774\ud130 \ubd84\uc11d \uacb0\uacfc)<\/h3>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>\ud559\uc0dd \uc218\uc900 \uc0c1\ud638\uc791\uc6a9:<\/strong> \ud765\ubbf8\uac00 \ub192\uace0 \ud6a8\ub2a5\uac10\ub3c4 \ub192\uc744 \ub54c, \uc131\ucde8\ub3c4\uac00 \uae30\ud558\uae09\uc218\uc801\uc73c\ub85c \uc0c1\uc2b9\ud558\ub294 <strong>\uc0c1\uc2b9 \uc791\uc6a9(Synergy)<\/strong>\uc774 \uc788\uc5c8\uc2b5\ub2c8\ub2e4 (<math data-latex=\"\\gamma_5 = 0.05, p < .05\"><semantics><mrow><msub><mi>\u03b3<\/mi><mn>5<\/mn><\/msub><mo>=<\/mo><mn>0.05<\/mn><mo separator=\"true\">,<\/mo><mi>p<\/mi><mo>&lt;<\/mo><mn>.05<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\gamma_5 = 0.05, p &lt; .05<\/annotation><\/semantics><\/math>).<\/li>\n\n\n\n<li><strong>\ud559\uad50 \uc218\uc900 \ud6a8\uacfc:<\/strong> \ud559\uad50 \uc804\uccb4\uc758 \ud3c9\uade0 \ud6a8\ub2a5\uac10\uc774 \ub192\uc744\uc218\ub85d \ud559\uc0dd \uac1c\uc778\uc758 \uc131\ucde8\ub3c4\ub3c4 \ub192\uc544\uc9c0\ub294 <strong>\ub9e5\ub77d \ud6a8\uacfc(Contextual Effect)<\/strong>\uac00 \ubc1c\uacac\ub418\uc5c8\uc2b5\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\ud06c\ub85c\uc2a4 \ub808\ubca8 \uc0c1\ud638\uc791\uc6a9:<\/strong> \ud559\uad50 \uc218\uc900\uc758 \ubcc0\uc218\uac00 \ud559\uc0dd \uc218\uc900\uc758 \uad00\uacc4\ub97c \uc870\uc808\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">[R \ucf54\ub4dc] \uc7a0\uc7ac \uc0c1\ud638\uc791\uc6a9 \ubaa8\ud615 \uc608\uc2dc<\/h4>\n\n\n\n<p>R<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># R \ucf54\ub4dc: \uc7a0\uc7ac \uc0c1\ud638\uc791\uc6a9 (Latent Interaction)\n# lavaan\uc758 \ucd5c\uc2e0 \uae30\ub2a5\uc774\ub098 semTools\ub97c \ud65c\uc6a9\ud558\uba74 LMS(Latent Moderated Structural Equations)\uc640 \uc720\uc0ac\ud55c \ubd84\uc11d \uac00\ub2a5\n# \uc5ec\uae30\uc11c\ub294 \uac1c\ub150\uc801 \ucf54\ub4dc\ub9cc \uc81c\uc2dc\ud569\ub2c8\ub2e4.\n\nmodel_interaction &lt;- '\n  # \uce21\uc815 \ubaa8\ud615\n  Interest =~ int1 + int2\n  Efficacy =~ eff1 + eff2 + eff3\n  Math =~ ach1 + ach2\n\n  # \uad6c\uc870 \ubaa8\ud615 (\uc0c1\ud638\uc791\uc6a9 \ud3ec\ud568)\n  # colon(:)\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc7a0\uc7ac\ubcc0\uc218 \uac04 \uc0c1\ud638\uc791\uc6a9 \ud45c\ud604 (\uc77c\ubd80 \ud328\ud0a4\uc9c0 \uc9c0\uc6d0)\n  Math ~ Interest + Efficacy + Interest:Efficacy\n'\n# *\uc2e4\uc81c \ubd84\uc11d \uc2dc\uc5d0\ub294 product indicator \uc811\uadfc\ubc95\uc774\ub098 \ubca0\uc774\uc9c0\uc548 \uc811\uadfc(blavaan)\uc744 \ucd94\ucc9c\ud569\ub2c8\ub2e4.\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">6. \uacb0\ub860 \ubc0f \uc81c\uc5b8<\/h2>\n\n\n\n<p>\uc624\ub298 \uc6b0\ub9ac\ub294 \ud604\uc2e4 \uc138\uacc4\uc758 \ubcf5\uc7a1\uc131\uc744 \ub2f4\uc544\ub0b4\uae30 \uc704\ud55c \ube44\uc120\ud615 \uad6c\uc870\ubc29\uc815\uc2dd\uc758 \uc5ec\uc815\uc744 \ub5a0\ub098\ubcf4\uc558\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>\ud604\uc2e4\uc740 \uc9c1\uc120\uc774 \uc544\ub2d9\ub2c8\ub2e4:<\/strong> \uc778\uac04\uc758 \ubc1c\ub2ec, \ud559\uc2b5, \uc2ec\ub9ac\ub294 \uace1\uc120\uc774\uac70\ub098, \uacc4\ub2e8\uc2dd\uc774\uac70\ub098, \ubcf5\ud569\uc801\uc778 \uc0c1\ud638\uc791\uc6a9\uc744 \ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\ub3c4\uad6c\uc758 \ud655\uc7a5:<\/strong> \uc774\ucc28 \ud568\uc218, \uad6c\ubd84\uc801 \ud568\uc218, \ud639\uc740 \ud63c\ud569 \ubaa8\ud615(Mixture Model)\uc744 \ud1b5\ud574 \uc774\ub7ec\ud55c \uad00\uacc4\ub97c \ud1b5\uacc4\uc801\uc73c\ub85c \ubaa8\ud615\ud654\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\uad50\uc721\uc801 \uc2dc\uc0ac\uc810:<\/strong> \ub2e8\uc21c\ud788 &#8220;\uacf5\ubd80 \ub9ce\uc774 \ud558\uba74 \uc131\uc801 \uc624\ub978\ub2e4&#8221;\uac00 \uc544\ub2c8\ub77c, &#8220;\uc5b4\ub290 \uc218\uc900\uae4c\uc9c0\ub294 \uc624\ub974\uc9c0\ub9cc \uadf8 \uc774\ud6c4\ub294 \ud765\ubbf8\uac00 \ub4b7\ubc1b\uce68\ub418\uc5b4\uc57c \ud55c\ub2e4&#8221;\uc640 \uac19\uc740 \uc815\uad50\ud55c \uad50\uc721\uc801 \ucc98\ubc29\uc774 \uac00\ub2a5\ud574\uc9d1\ub2c8\ub2e4.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">WaurimaL\uc758 \ub9c8\uc9c0\ub9c9 \ud55c\ub9c8\ub514 (Next Step)<\/h3>\n\n\n\n<p>&#8220;\uc5ec\ub7ec\ubd84, \uc624\ub298 \ub0b4\uc6a9\uc774 \uc870\uae08 \uc5b4\ub824\uc6e0\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ud2b9\ud788 \uc218\uc2dd\uc774 \ub9ce\uc544\uc11c \uac81\uba39\uc5c8\uc744 \uc218\ub3c4 \uc788\uc5b4\uc694. \ud558\uc9c0\ub9cc \ud575\uc2ec\uc740 <strong>&#8216;\ub370\uc774\ud130\uc758 \uc2e4\uc81c \ubaa8\uc591\uc744 \uc874\uc911\ud558\uc790&#8217;<\/strong>\ub294 \uac83\uc785\ub2c8\ub2e4. \ub2e4\uc74c \ub2e8\uacc4\ub85c, <strong>\uc5ec\ub7ec\ubd84\uc774 \uac00\uc9c0\uace0 \uc788\ub294 \ub370\uc774\ud130\ub97c \uc0b0\uc810\ub3c4(Scatter plot)\ub85c \uba3c\uc800 \uadf8\ub824\ubcf4\uc138\uc694.<\/strong> \ud639\uc2dc \uc9c1\uc120\uc774 \uc544\ub2cc \uace1\uc120\uc774 \ubcf4\uc774\ub098\uc694? \uadf8\ub807\ub2e4\uba74 \uc624\ub298 \ubc30\uc6b4 \ube44\uc120\ud615 SEM\uc744 \uc801\uc6a9\ud574 \ubcfc \uc808\ud638\uc758 \uae30\ud68c\uc785\ub2c8\ub2e4.&#8221;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\ucc38\uace0\ubb38\ud5cc<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Bates, D. M., &amp; Watts, D. G. (1988). <em>Nonlinear regression analysis: Its applications<\/em>. New York: Wiley.<\/li>\n\n\n\n<li>Bauer, D. J. (2005). A semiparametric approach to modeling nonlinear relations among latent variables. <em>Structural Equation Modeling, 12<\/em>, 513\u2013535.<\/li>\n\n\n\n<li>Harring, J. R., &amp; Zou, J. (n.d.). Chapter 37. Nonlinear Structural Equation Models. In <em>Advanced Methods and Applications<\/em>.<\/li>\n\n\n\n<li>Jenss, R., &amp; Bayley, N. (1937). A mathematical method for studying the growth of a child. <em>Human Biology, 9<\/em>, 556\u2013563.<\/li>\n\n\n\n<li>Kelava, A., &amp; Brandt, H. (2014). A general nonlinear multilevel structural equation mixture model. <em>Frontiers in Psychology, 5<\/em>, 1\u201316.<\/li>\n\n\n\n<li>Mullis, I. V., et al. (2012). <em>TIMSS 2011 encyclopedia: Education policy and curriculum in mathematics and science<\/em>. Boston: TIMSS &amp; PIRLS International Study Center.<\/li>\n\n\n\n<li>Wall, M. M. (2009). Maximum likelihood and Bayesian estimation of nonlinear structural equation models. In R. Millsap (Ed.), <em>The SAGE handbook of quantitative methods in psychology<\/em> (pp. 540\u2013567). Sage.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88\uc5d0\ub294 \uad6c\uc870\ubc29\uc815\uc2dd \ubaa8\ud615(SEM)\uc758 \uac00\uc7a5 \ud765\ubbf8\ub86d\uace0 \ub3c4\uc804\uc801\uc778 \uc601\uc5ed\uc778 &#8220;\ube44\uc120\ud615 \uad6c\uc870\ubc29\uc815\uc2dd \ubaa8\ud615(Nonlinear Structural Equation Models; NSEMs)\uc744 \ud0d0\uad6c\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ub9ce\uc740 \uc5f0\uad6c\uc790\ub098 \ud559\uc0dd\ub4e4\uc774 &#8220;\ubcc0\uc218 \uac04\uc758 \uad00\uacc4\ub294 \uc9c1\uc120(\uc120\ud615)\uc774\ub2e4&#8221;\ub77c\ub294 \uac00\uc815\ud558\uc5d0 \ubd84\uc11d\uc744 \uc218\ud589\ud569\ub2c8\ub2e4. \ud558\uc9c0\ub9cc, \uad50\uc721 \ud604\uc7a5\uc758 \uc2e4\uc81c \ub370\uc774\ud130\ub294 \uc5b4\ub5a4\uac00\uc694? \ud559\uc2b5 \uc2dc\uac04\uc774 \ub298\uc5b4\ub09c\ub2e4\uace0 \uc131\uc801\uc774 \ubb34\ud55c\uc815 \uc624\ub974\ub098\uc694? 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