{"id":837,"date":"2026-02-03T10:32:25","date_gmt":"2026-02-03T01:32:25","guid":{"rendered":"https:\/\/waurimal.kr\/?p=837"},"modified":"2026-02-04T12:39:25","modified_gmt":"2026-02-04T03:39:25","slug":"chap13-%eb%b9%84%ec%84%a0%ed%98%95-%ed%98%bc%ed%95%a9%eb%aa%a8%eb%8d%b8","status":"publish","type":"post","link":"http:\/\/waurimal.kr\/?p=837","title":{"rendered":"Chap14. \ube44\uc120\ud615 \ud63c\ud569\ubaa8\ub378"},"content":{"rendered":"\n<p>\uc548\ub155\ud558\uc138\uc694!<\/p>\n\n\n\n<p>\uc624\ub298\uc740 <strong>\ube44\uc120\ud615 \ud63c\ud569 \ud6a8\uacfc \ubaa8\ub378(Nonlinear Mixed Effects Models)<\/strong>\uc5d0 \ub300\ud574 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \u201c\ud559\uad50 \ud604\uc7a5\uc758 \ub370\uc774\ud130\u201d\ub97c \uc608\uc2dc\ub85c \ub4e4\uc5b4 \uc9c1\uad00\uc801\uc778 \uc124\uba85\uacfc \uc218\ub9ac\uc801 \uc5c4\ubc00\ud568\uc744 \ubaa8\ub450 \uac16\ucd98 \ud615\ud0dc\ub85c \uc7ac\uad6c\uc131\ud574 \ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<p>\ubd84\uc11d \ub3c4\uad6c\ub85c\ub294 <strong>jamovi<\/strong>\uc758 \uc0ac\uc6a9\ubc95\uc744 \uc124\uba85\ud558\ub418, jamovi\uc758 \uae30\ubc18\uc774 \ub418\ub294 <strong>R<\/strong> \ucf54\ub4dc\ub97c \ud568\uaed8 \uc81c\uc2dc\ud558\uc5ec \ubaa8\uc758 \ub370\uc774\ud130 \uc0dd\uc131\ubd80\ud130 \ubd84\uc11d, \uc2dc\uac01\ud654\uae4c\uc9c0 \uc644\ubcbd\ud558\uac8c \uad6c\ud604\ud574 \ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">1. \uc65c &#8216;\ube44\uc120\ud615(Nonlinear)&#8217; \ubaa8\ub378\uc774 \ud544\uc694\ud560\uae4c\uc694?<\/h3>\n\n\n\n<p>\uc6b0\ub9ac\uac00 \ud754\ud788 \uc4f0\ub294 &#8216;\uc120\ud615 \ubaa8\ub378(Linear Models)&#8217;\uc740 \uacc4\uc0b0\uc774 \uc27d\uace0 \ud574\uc11d\uc774 \uba85\ud655\ud558\ub2e4\ub294 \uc7a5\uc810\uc774 \uc788\uc2b5\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \ud559\uad50 \ud604\uc7a5\uc5d0\uc11c \uc77c\uc5b4\ub098\ub294 \uc2e4\uc81c \ud604\uc0c1\ub4e4\uc740 \uc9c1\uc120\uc73c\ub85c \uc124\uba85\ub418\uc9c0 \uc54a\ub294 \uacbd\uc6b0\uac00 \ud6e8\uc52c \ub9ce\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\uc120\ud615 \ubaa8\ub378(Empirical Models)<\/strong>: \uad00\ucc30\ub41c \ub370\uc774\ud130\ub97c \uc798 \uc124\uba85\ud558\uae30 \uc704\ud574 \uc9c1\uc120\uc744 \uae0b\ub294 &#8216;\uacbd\ud5d8\uc801 \ubaa8\ub378&#8217;\uc785\ub2c8\ub2e4. \ub370\uc774\ud130 \ubc94\uc704 \uc548\uc5d0\uc11c\ub294 \uc798 \ub9de\uc744\uc9c0 \ubab0\ub77c\ub3c4, \ubc94\uc704\ub97c \ubc97\uc5b4\ub098\uba74 \uc608\uce21\ub825\uc774 \ub5a8\uc5b4\uc9c8 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\ube44\uc120\ud615 \ubaa8\ub378(Mechanistic\/Scientific Models)<\/strong>: \ub370\uc774\ud130\uac00 \uc65c \uadf8\ub807\uac8c \ub9cc\ub4e4\uc5b4\uc84c\ub294\uc9c0, \uc989 &#8216;\uc0dd\uc131 \uba54\ucee4\ub2c8\uc998&#8217;\uc5d0 \uc9d1\uc911\ud558\ub294 &#8216;\uacfc\ud559\uc801 \ubaa8\ub378&#8217;\uc785\ub2c8\ub2e4. \uc131\uc7a5 \uace1\uc120\uc774\ub098 \ud559\uc2b5 \uc18d\ub3c4\ucc98\ub7fc \uc790\uc5f0\uc2a4\ub7ec\uc6b4 \ubcc0\ud654 \uacfc\uc815\uc744 \ubc18\uc601\ud558\ubbc0\ub85c, \ub370\uc774\ud130\uac00 \uc5c6\ub294 \uad6c\uac04\uc5d0 \ub300\ud574\uc11c\ub3c4 \ub354 \uc815\ud655\ud55c \uc608\uce21\uc774 \uac00\ub2a5\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n\n\n\n<p><strong>\ube44\uc120\ud615 \ubaa8\ub378\uc758 \uc7a5\uc810:<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\uc2e4\uc81c \uad00\uacc4\ub97c \ub354 \uc798 \uadfc\uc0ac\ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li>\uad00\ucc30 \ub370\uc774\ud130 \ubc94\uc704\ub97c \ubc97\uc5b4\ub09c \uac12\uc5d0 \ub300\ud574\uc11c\ub3c4 \ub354 \uc2e0\ub8b0\ud560 \uc218 \uc788\ub294 \uc608\uce21\uc744 \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li>\ud30c\ub77c\ubbf8\ud130(Parameter) \uc790\uccb4\uac00 \uc790\uc5f0\uc801\uc778 \ubb3c\ub9ac\uc801\/\uad50\uc721\uc801 \uc758\ubbf8\ub97c \uac16\uc2b5\ub2c8\ub2e4 (\uc608: \ud559\uc0dd\uc758 \ucd5c\ub300 \ud559\uc2b5 \uc7a0\uc7ac\ub825, \ud559\uc2b5 \uc18d\ub3c4 \ub4f1).<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. \ud559\uad50 \ud604\uc7a5 \uc2a4\ud1a0\ub9ac: &#8220;\uc6b0\ub9ac \uc544\uc774\ub4e4\uc758 \ub2e8\uc5b4 \uc554\uae30\ub7c9\uc740 \uc5b4\ub5bb\uac8c \ubcc0\ud560\uae4c?&#8221;<\/h3>\n\n\n\n<p>\ucd08\ub4f1\ud559\uad50 1\ud559\ub144 \ud559\uc0dd\ub4e4\uc774 \ub9e4\uc77c \uc544\uce68 10\ubd84\uc529 \uc601\uc5b4 \ub2e8\uc5b4\ub97c \uc678\uc6b4\ub2e4\uace0 \uac00\uc815\ud574 \ubd05\uc2dc\ub2e4. \uc2dc\uac04\uc774 \uc9c0\ub0a0\uc218\ub85d \uc678\uc6b4 \ub2e8\uc5b4 \uc218\ub294 \ub298\uc5b4\ub098\uaca0\uc9c0\ub9cc, \ucc98\uc74c\uc5d0\ub294 \ucc9c\ucc9c\ud788 \ub298\ub2e4\uac00 \uc5b4\ub290 \uc21c\uac04 \uae09\uaca9\ud788 \ub298\uace0, \uacb0\uad6d \uc778\uac04\uc758 \ud55c\uacc4 \ub54c\ubb38\uc5d0 \uc815\uccb4\uae30\uc5d0 \uc811\uc5b4\ub4e4 \uac83\uc785\ub2c8\ub2e4. \uc774\ub7ec\ud55c &#8216;S\uc790 \uace1\uc120(Logistic Curve)&#8217;\uc740 \uc9c1\uc120\uc778 \uc120\ud615 \ubaa8\ub378\ub85c\ub294 \uc124\uba85\ud560 \uc218 \uc5c6\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">[\ubaa8\uc758 \ub370\uc774\ud130 \uc0dd\uc131 \ubc0f \ubd84\uc11d\uc744 \uc704\ud55c R \ucf54\ub4dc]<\/h4>\n\n\n\n<p>\uba3c\uc800 \ud559\uad50 \ud604\uc7a5\uacfc \uc720\uc0ac\ud55c \ub370\uc774\ud130\ub97c \ub9cc\ub4e4\uc5b4 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<p>R<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \ud544\uc694\ud55c \ub77c\uc774\ube0c\ub7ec\ub9ac \ub85c\ub4dc\nlibrary(nlme)\nlibrary(ggplot2)\n\n# 1. \ubaa8\uc758 \ub370\uc774\ud130 \uc0dd\uc131 (\ud559\uc0dd 50\uba85, 10\ud68c \uce21\uc815)\nset.seed(123)\nn_students &lt;- 50\nn_days &lt;- 10\ndata &lt;- data.frame(\n  student = rep(1:n_students, each = n_days),\n  day = rep(1:n_days, n_students)\n)\n\n# \ube44\uc120\ud615 \ud30c\ub77c\ubbf8\ud130 \uc124\uc815 (Asym: \ucd5c\ub300 \uc554\uae30\ub7c9, xmid: \uac00\uc18d \uc9c0\uc810, scal: \uc99d\uac00 \uc18d\ub3c4)\n# \ud559\uc0dd\ub9c8\ub2e4 \uac1c\uc778\ucc28(Random Effects) \ubd80\uc5ec\nasym_pop &lt;- 100  # \ud3c9\uade0 \ucd5c\ub300 \uc554\uae30\ub7c9 100\uac1c\nxmid_pop &lt;- 5    # \ud3c9\uade0 5\uc77c\uc9f8\uc5d0 \uae09\uaca9\ud788 \uc0c1\uc2b9\nscal_pop &lt;- 1    # \uc99d\uac00 \uae30\uc6b8\uae30 \uacc4\uc218\n\n# \ud559\uc0dd\ubcc4 \ub79c\ub364 \ud6a8\uacfc \uc0dd\uc131\nrandom_effects &lt;- rnorm(n_students, 0, 5) \n\n# \ub85c\uc9c0\uc2a4\ud2f1 \uc131\uc7a5 \uace1\uc120 \uc801\uc6a9\ndata$word_count &lt;- with(data, {\n  asym_i &lt;- asym_pop + random_effects&#91;student]\n  asym_i \/ (1 + exp((xmid_pop - day) \/ scal_pop)) + rnorm(nrow(data), 0, 2)\n})\n\n# \ub370\uc774\ud130 \ud655\uc778\nhead(data)\n\n# CSV\ub85c \uc800\uc7a5 (jamovi\uc5d0\uc11c \ubd88\ub7ec\uc624\uae30 \uc704\ud568)\nwrite.csv(data, \"chap13.csv\", row.names = FALSE)\n<\/code><\/pre>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-ee0476e7-25f9-48f2-ad8c-3419f56b9447\" href=\"https:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/chap13.csv\">chap13<\/a><a href=\"https:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/chap13.csv\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-ee0476e7-25f9-48f2-ad8c-3419f56b9447\">\ub2e4\uc6b4\ub85c\ub4dc<\/a><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">3. jamovi\uc5d0\uc11c\uc758 \ubd84\uc11d \ubc29\ubc95<\/h3>\n\n\n\n<p>jamovi\uc5d0\uc11c \ube44\uc120\ud615 \ud63c\ud569 \ubaa8\ub378\uc744 \uc9c1\uc811 \uc218\ud589\ud558\ub824\uba74 <code>GAMLj<\/code> \ubaa8\ub4c8\uc774\ub098 <code>Rj<\/code> Editor\ub97c \ud65c\uc6a9\ud558\ub294 \uac83\uc774 \uc88b\uc2b5\ub2c8\ub2e4. \uae30\ubcf8 \uba54\ub274\uc5d0 \ube44\uc120\ud615 \ud63c\ud569 \ubaa8\ub378\uc774 \uc5c6\uc744 \uacbd\uc6b0, \ub2e4\uc74c\uacfc \uac19\uc774 Rj Editor\ub97c \ud1b5\ud574 \ubd84\uc11d\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n<p><strong>jamovi \ubd84\uc11d \ub2e8\uacc4:<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>Library \uc124\uce58<\/strong>: <code>Rj - Editor<\/code>\uc5d0\uc11c <code>nlme<\/code> \ud328\ud0a4\uc9c0\ub97c \ud638\ucd9c\ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\ubaa8\ub378 \uc124\uc815<\/strong>: \ud559\uc0dd\ubcc4\ub85c \ub2e4\ub978 \uc131\uc7a5 \uace1\uc120\uc744 \uac16\ub3c4\ub85d &#8216;\ud63c\ud569 \ud6a8\uacfc(Mixed Effects)&#8217;\ub97c \uc124\uc815\ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\uc218\uc2dd \uc785\ub825<\/strong>:<\/li>\n<\/ol>\n\n\n\n<pre class=\"wp-block-code\"><code># nlme \ud328\ud0a4\uc9c0\ub97c \uc774\uc6a9\ud55c \ube44\uc120\ud615 \ud63c\ud569 \ubaa8\ub378 \ubd84\uc11d\nlibrary(nlme)\nmodel &lt;- nlme(word_count ~ SSlogis(day, Asym, xmid, scal),\n              data = data,\n              fixed = Asym + xmid + scal ~ 1,\n              random = Asym ~ 1 | student,\n              start = c(Asym = 100, xmid = 5, scal = 1))\nsummary(model)\n\n# Asym: \ud559\uc0dd\uc774 \ub3c4\ub2ec\ud560 \uc218 \uc788\ub294 '\ucd5c\uc885 \uc554\uae30\ub7c9' (\uc0c1\ud55c\uc120)\n# xmid: \ud559\uc2b5 \ud6a8\uc728\uc774 \ucd5c\ub300\uac00 \ub418\ub294 '\uc2dc\uc810'\n# scal: \uc554\uae30\ub7c9\uc774 \uc99d\uac00\ud558\ub294 '\uac00\uc18d\ub3c4'<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">4. \uacb0\uacfc \ud574\uc11d \ubc0f \uc2dc\uac01\ud654<\/h3>\n\n\n\n<p>\ubd84\uc11d \uacb0\uacfc, \uc6b0\ub9ac\ub294 \ud559\uc0dd \uc804\uccb4\uc758 \ud3c9\uade0\uc801\uc778 \ud559\uc2b5 \uace1\uc120\ubfd0\ub9cc \uc544\ub2c8\ub77c, \ud2b9\uc815 \ud559\uc0dd\uc774 \ub2e4\ub978 \ud559\uc0dd\uc5d0 \ube44\ud574 \uc5bc\ub9c8\ub098 \ub354 \ube68\ub9ac \ubc30\uc6b0\ub294\uc9c0(xmid), \ud639\uc740 \uc7a0\uc7ac\ub825\uc774 \uc5bc\ub9c8\ub098 \ud070\uc9c0(Asym)\ub97c \uac1c\ubcc4\uc801\uc73c\ub85c \ud30c\uc545\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<p>R<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \uc2dc\uac01\ud654 \ucf54\ub4dc\nlibrary(tidyverse)\nggplot(data, aes(x = day, y = word_count, group = student)) +\n  geom_line(alpha = 0.3, color = \"blue\") + # \uac1c\ubcc4 \ud559\uc0dd \uace1\uc120\n  stat_summary(aes(group = 1), fun = mean, geom = \"line\", size = 1.5, color = \"red\") + # \uc804\uccb4 \ud3c9\uade0\n  labs(title = \"\ud559\uc0dd\ubcc4 \uc601\uc5b4 \ub2e8\uc5b4 \uc554\uae30\ub7c9 \uc131\uc7a5 \uace1\uc120\",\n       x = \"\ud559\uc2b5 \uc77c\uc218(Day)\",\n       y = \"\uc554\uae30\ud55c \ub2e8\uc5b4 \uc218\") +\n  theme_minimal()\n<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"758\" src=\"https:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/FIG13-1-1024x758.png\" alt=\"\" class=\"wp-image-839\" srcset=\"http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/FIG13-1-1024x758.png 1024w, http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/FIG13-1-300x222.png 300w, http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/FIG13-1-768x568.png 768w, http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/FIG13-1-1536x1137.png 1536w, http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/FIG13-1-624x462.png 624w, http:\/\/waurimal.kr\/wp-content\/uploads\/2026\/02\/FIG13-1.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">5. \uc8fc\uc758\ud560 \uc810 (Limitations)<\/h3>\n\n\n\n<p>\ube44\uc120\ud615 \ubaa8\ub378\uc740 \uac15\ub825\ud558\uc9c0\ub9cc \uba87 \uac00\uc9c0 \uc8fc\uc758\uc0ac\ud56d\uc774 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\ubcf5\uc7a1\uc131<\/strong>: \ub370\uc774\ud130 \uc0dd\uc131 \uba54\ucee4\ub2c8\uc998\uc744 \uc815\ud655\ud788 \ubaa8\ub974\uba74 \ubaa8\ub378\uc744 \uc138\uc6b0\uae30 \uc5b4\ub835\uc2b5\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\uacc4\uc0b0\uc758 \uc5b4\ub824\uc6c0<\/strong>: \uc120\ud615 \ubaa8\ub378\uacfc \ub2ec\ub9ac \ubc18\ubcf5\uc801\uc778 \uacc4\uc0b0 \uacfc\uc815\uc774 \ud544\uc694\ud558\uba70, \ub54c\ub85c\ub294 \uc218\ub834(Convergence)\ub418\uc9c0 \uc54a\uc544 \uacb0\uacfc\uac00 \ub098\uc624\uc9c0 \uc54a\uc744 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\uc0d8\ud50c \uc0ac\uc774\uc988<\/strong>: \ud30c\ub77c\ubbf8\ud130\ub97c \uc548\uc815\uc801\uc73c\ub85c \ucd94\uc815\ud558\uae30 \uc704\ud574 \ucda9\ubd84\ud55c \uc591\uc758 \ub370\uc774\ud130\uac00 \ud544\uc694\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">6. \ucc38\uace0\ubb38\ud5cc (APA Style)<\/h3>\n\n\n\n<p>Wu, L., &amp; Liu, W. (2010). Nonlinear models. In J. J. Hox &amp; J. K. Roberts (Eds.), <em>The SAGE Handbook of Multilevel Modeling<\/em> (pp. 249-266). SAGE Publications. <sup><\/sup><sup><\/sup><sup><\/sup><sup><\/sup>+1<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc548\ub155\ud558\uc138\uc694! \uc624\ub298\uc740 \ube44\uc120\ud615 \ud63c\ud569 \ud6a8\uacfc \ubaa8\ub378(Nonlinear Mixed Effects Models)\uc5d0 \ub300\ud574 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \u201c\ud559\uad50 \ud604\uc7a5\uc758 \ub370\uc774\ud130\u201d\ub97c \uc608\uc2dc\ub85c \ub4e4\uc5b4 \uc9c1\uad00\uc801\uc778 \uc124\uba85\uacfc \uc218\ub9ac\uc801 \uc5c4\ubc00\ud568\uc744 \ubaa8\ub450 \uac16\ucd98 \ud615\ud0dc\ub85c \uc7ac\uad6c\uc131\ud574 \ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4. \ubd84\uc11d \ub3c4\uad6c\ub85c\ub294 jamovi\uc758 \uc0ac\uc6a9\ubc95\uc744 \uc124\uba85\ud558\ub418, jamovi\uc758 \uae30\ubc18\uc774 \ub418\ub294 R \ucf54\ub4dc\ub97c \ud568\uaed8 \uc81c\uc2dc\ud558\uc5ec \ubaa8\uc758 \ub370\uc774\ud130 \uc0dd\uc131\ubd80\ud130 \ubd84\uc11d, \uc2dc\uac01\ud654\uae4c\uc9c0 \uc644\ubcbd\ud558\uac8c \uad6c\ud604\ud574 \ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4. 1. \uc65c &#8216;\ube44\uc120\ud615(Nonlinear)&#8217; 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