{"id":2004,"date":"2019-10-06T06:02:06","date_gmt":"2019-10-05T21:02:06","guid":{"rendered":"http:\/\/141.164.34.82\/?p=2004"},"modified":"2019-10-06T06:04:58","modified_gmt":"2019-10-05T21:04:58","slug":"%eb%ac%b8%ed%95%ad%ed%8a%b9%ec%84%b1%ec%9d%98-%eb%b6%88%eb%b3%80%ec%84%b1","status":"publish","type":"post","link":"http:\/\/ds.sumeun.org\/?p=2004","title":{"rendered":"\ubb38\ud56d\ud2b9\uc131\uc758 \ubd88\ubcc0\uc131"},"content":{"rendered":"<h2>\ubb38\ud56d\ubc18\uc751\uc774\ub860: \ubb38\ud56d\ud2b9\uc131\uc758 \ubd88\ubcc0\uc131<\/h2>\n<p>\ub2e4\uc74c\uc740 &ldquo;\uc608\ube44\uad50\uc0ac\ub97c \uc704\ud55c \uad50\uc721\ud3c9\uac00&quot;\uc758 \uc77c\ubd80(p.168)\ub97c \ubc1c\ucdcc\ud55c \ub0b4\uc6a9\uc774\ub2e4.[<sup>1]<\/sup> <\/p>\n<p><strong>&quot;\ubb38\ud56d\ubc18\uc751\uc774\ub860\uc740 \ub2a5\ub825\uc774 \ub0ae\uc740 \ud53c\ud5d8\uc790 \uc9d1\ub2e8\uc5d0 \uac80\uc0ac\ub97c \uc2e4\uc2dc\ud574\ub3c4 \ub2a5\ub825\uc774 \ub192\uc740 \ud53c\ud5d8\uc790 \uc9d1\ub2e8\uc5d0 \uac80\uc0ac\ub97c \uc2e4\uc2dc\ud574\ub3c4 \ubb38\ud56d\ub09c\uc774\ub3c4, \ubb38\ud56d\ubcc0\ubcc4\ub3c4, \ubb38\ud56d\ucd94\uce21\ub3c4\ub97c \ucd94\uc815\ud558\uc600\uc744 \ub54c \uac12\uc774 \uac19\ub2e4\ub294 \uac83\uc774\ub2e4.&rdquo;<\/strong><\/p>\n<p>[<sup>1]:<\/sup> \ube44\ub2e8 \uc774 \ucc45\ub9cc \uc544\ub2c8\uace0 \ub0b4\uac00 \ucc3e\uc544\ubcf8 \uac70\uc758 \ubaa8\ub4e0 <strong>\uad50\uc721 \ud3c9\uac00<\/strong> \ucc45\uc5d0\ub294 \ub3d9\uc77c\ud55c \ub0b4\uc6a9\uc774 \ub3d9\uc77c\ud558\uac8c (\ub4a4\uc5d0\uc11c \uc0b4\ud3b4\ubcf4\uaca0\uc9c0\ub9cc) \ubd80\uc2e4\ud55c \uc124\uba85\uc73c\ub85c \uc801\ud600 \uc788\uc5c8\ub2e4. Christine DeMars\uac00 \uc124\uba85\ud55c \ub0b4\uc6a9\uc744 \ubc1c\ucdcc\ud574\ubcf4\uc790. &ldquo;In IRT, the item difficulty, \\(b\\) , is the same(invariant) across samples, up to linear transofrmation.&rdquo;<\/p>\n<p>\uc774 \ub0b4\uc6a9\ub9cc \ubd10\uc11c\ub294 \uc624\ud574\uc758 \uc18c\uc9c0\uac00 \ub2e4\ubd84\ud55c \ub4ef \ud558\ub2e4. <\/p>\n<p>IRT\uc5d0\uc11c \ubaa8\uc9d1\ub2e8\uc758 \ub2a5\ub825 \ubd84\ud3ec\uc778 \ud45c\uc900 \uc815\uaddc \ubd84\ud3ec( \\(\\mathcal{N}(0,1)\\) )\uc740 \uc784\uc758\uc801\uc778 \uc124\uc815\uc774\ub2e4. \ub530\ub77c\uc11c \ud53c\ud5d8\uc790 \uc9d1\ub2e8\uc5d0 \ub530\ub77c \ubb38\ud56d\ub09c\uc774\ub3c4\uc640 \ubb38\ud56d\ubcc0\ubcc4\ub3c4\ub294 \ub2e4\ub974\uac8c \ucd94\uc815\ub41c\ub2e4.<\/p>\n<p>\ub2e4\uc74c\uc740 \ubaa8\uc9d1\ub2e8\uc758 \ub2a5\ub825 \ud3c9\uade0\uc774 0\uc778 \uacbd\uc6b0\uc640 1\uc778 \uacbd\uc6b0\uc5d0 \ubb38\ud56d \ub09c\uc774\ub3c4 \ucd94\uc815\uce58\uac00 \uc5b4\ub5bb\uac8c \ub2ec\ub77c\uc9c0\ub294\uc9c0\ub97c \ubcf4\uc5ec\uc900\ub2e4. <\/p>\n<pre><code class=\"r\">library(mirt)\r\nlibrary(tibble)\r\nlibrary(dplyr)\r\nlibrary(ggplot2)\r\n\r\na = rep(1,10)\r\nd = rnorm(10)\r\nthA = matrix(rnorm(1000, mean=0), 1000, 1)\r\nthB = matrix(rnorm(1000, mean=1), 1000, 1)\r\nYA &lt;- simdata(a=a, d=d, itemtype=&#39;2PL&#39;, Theta=thA)\r\nYB &lt;- simdata(a=a, d=d, itemtype=&#39;2PL&#39;, Theta=thB)\r\n\r\nfitA &lt;- mirt(YA, itemtype=&#39;2PL&#39;, model=1, SE=TRUE)\r\nfitB &lt;- mirt(YB, itemtype=&#39;2PL&#39;, model=1, SE=TRUE)\r\n\r\ncfA &lt;- coef(fitA, as.data.frame=TRUE)\r\ncfB &lt;- coef(fitB, as.data.frame=TRUE)\r\n\r\ndat &lt;- rbind(\r\n  cfA[grepl(&#39;d&#39;, rownames(cfA)), ,drop=FALSE] %&gt;% \r\n    as_tibble %&gt;% \r\n    rownames_to_column(var=&#39;item&#39;) %&gt;% \r\n    mutate(group=&#39;A&#39;),\r\n  cfB[grepl(&#39;d&#39;, rownames(cfB)), ,drop=FALSE] %&gt;% \r\n    as_tibble %&gt;% \r\n    rownames_to_column(var=&#39;item&#39;) %&gt;% \r\n    mutate(group=&#39;B&#39;)\r\n) %&gt;% \r\n  mutate(item = factor(item, levels=1:10))\r\n<\/code><\/pre>\n<pre>## \r\nIteration: 1, Log-Lik: -5468.804, Max-Change: 0.19976\r\nIteration: 2, Log-Lik: -5449.417, Max-Change: 0.11241\r\nIteration: 3, Log-Lik: -5443.917, Max-Change: 0.06594\r\nIteration: 4, Log-Lik: -5442.263, Max-Change: 0.03871\r\nIteration: 5, Log-Lik: -5441.773, Max-Change: 0.02261\r\nIteration: 6, Log-Lik: -5441.625, Max-Change: 0.01267\r\nIteration: 7, Log-Lik: -5441.574, Max-Change: 0.00699\r\nIteration: 8, Log-Lik: -5441.563, Max-Change: 0.00401\r\nIteration: 9, Log-Lik: -5441.559, Max-Change: 0.00237\r\nIteration: 10, Log-Lik: -5441.558, Max-Change: 0.00129\r\nIteration: 11, Log-Lik: -5441.558, Max-Change: 0.00052\r\nIteration: 12, Log-Lik: -5441.558, Max-Change: 0.00034\r\nIteration: 13, Log-Lik: -5441.558, Max-Change: 0.00021\r\nIteration: 14, Log-Lik: -5441.558, Max-Change: 0.00014\r\nIteration: 15, Log-Lik: -5441.558, Max-Change: 0.00009\r\n## \r\n## \r\n## Calculating information matrix...\r\n## \r\nIteration: 1, Log-Lik: -5562.617, Max-Change: 0.16846\r\nIteration: 2, Log-Lik: -5552.706, Max-Change: 0.10277\r\nIteration: 3, Log-Lik: -5549.896, Max-Change: 0.06307\r\nIteration: 4, Log-Lik: -5548.948, Max-Change: 0.03148\r\nIteration: 5, Log-Lik: -5548.764, Max-Change: 0.01779\r\nIteration: 6, Log-Lik: -5548.709, Max-Change: 0.01030\r\nIteration: 7, Log-Lik: -5548.688, Max-Change: 0.00534\r\nIteration: 8, Log-Lik: -5548.684, Max-Change: 0.00353\r\nIteration: 9, Log-Lik: -5548.683, Max-Change: 0.00192\r\nIteration: 10, Log-Lik: -5548.682, Max-Change: 0.00063\r\nIteration: 11, Log-Lik: -5548.682, Max-Change: 0.00039\r\nIteration: 12, Log-Lik: -5548.682, Max-Change: 0.00024\r\nIteration: 13, Log-Lik: -5548.682, Max-Change: 0.00015\r\nIteration: 14, Log-Lik: -5548.682, Max-Change: 0.00009\r\n## \r\n## \r\n## Calculating information matrix...\r\n<\/pre>\n<pre><code class=\"r\">pd = position_dodge(0.1)\r\ndat %&gt;% ggplot(aes(x=item, y=par, ymin=CI_2.5, ymax=CI_97.5, col=group)) +\r\n  geom_point(position=pd) + geom_errorbar(width=0.1, position=pd) +\r\n  labs(y=&#39;Estimated difficulty&#39;) + \r\n  labs(x=&#39;Items&#39;)\r\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-2\"\/><\/p>\n<p>\uc774\uac83\uc740 \ubaa8\uc9d1\ub2e8\uc758 \ub2a5\ub825 \ud3c9\uade0\uc744 \ubaa8\ub450 0\uc73c\ub85c \uc9c0\uc815\ud588\uae30 \ub54c\ubb38\uc5d0 \ubc1c\uc0dd\ud558\ub294 \ud604\uc0c1\uc774\ub2e4. (\ud558\uc9c0\ub9cc \uc6b0\ub9ac\ub294 \ubaa8\uc9d1\ub2e8\uc758 \ub2a5\ub825 \ud3c9\uade0\uc744 \ubbf8\ub9ac \uc54c \uc218 \uc5c6\uae30 \ub54c\ubb38\uc5d0 \ub2e4\ub978 \ubc29\ub3c4\uac00 \uc5c6\ub2e4!)<\/p>\n<p>\ub530\ub77c\uc11c <strong>\ub2a5\ub825\uc774 \ub0ae\uc740 \ud53c\ud5d8\uc790 \uc9d1\ub2e8\uc5d0 \uac80\uc0ac\ub97c \uc2e4\uc2dc\ud574\ub3c4 \ub2a5\ub825\uc774 \ub192\uc740 \ud53c\ud5d8\uc790 \uc9d1\ub2e8\uc5d0 \uac80\uc0ac\ub97c \uc2e4\uc2dc\ud574\ub3c4 \ubb38\ud56d\ub09c\uc774\ub3c4, \ubb38\ud56d\ubcc0\ubcc4\ub3c4, \ubb38\ud56d\ucd94\uce21\ub3c4\ub97c \ucd94\uc815\ud558\uc600\uc744 \ub54c \uac12\uc774 \uac19\ub2e4<\/strong>\ub294 \ubb38\uc7a5\uc740 \uc624\ud574\uc758 \uc18c\uc9c0\uac00 \ub2e4\ubd84\ud558\ub2e4. (\uc774\ub807\uac8c \uc9d1\ub2e8 \ud3c9\uade0\uc774 \ub2e4\ub978 \uacbd\uc6b0 \ubfd0 \uc544\ub2c8\ub77c, \ucc28\ubcc4\ubb38\ud56d\uae30\ub2a5(Differential Item Functioning; DIF)\uc774\ub77c\ub294 \ud604\uc0c1\uc744 \uc0dd\uac01\ud574\ubd10\ub3c4 \ub41c\ub2e4. \ucc28\ubcc4\ubb38\ud56d\uae30\ub2a5\uc774\ub780 \ubb38\ud56d\uc758 \ub09c\uc774\ub3c4\ub098 \ubcc0\ubcc4\ub3c4\uac00 \uc9d1\ub2e8\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9c0\ub294 \ud604\uc0c1\uc744 \uc758\ubbf8\ud55c\ub2e4.)<\/p>\n<h3>\ubb38\ud56d \ub09c\uc774\ub3c4 \ubd88\ubcc0\uc131<\/h3>\n<p>IRT\uc758 \uc9c4\uc9dc \uc7a5\uc810\uc740 \uc0ac\ub78c\uc758 \ub2a5\ub825\uacfc \ubb38\ud56d\uc758 \ub09c\uc774\ub3c4\ub97c \ud558\ub098\uc758 \uc9c1\uc120 \uc704\uc5d0 \uc704\uce58\uc2dc\ud0a8\ub2e4\ub294 \uac83\uc774\ub2e4. <\/p>\n<p>\uc774\ub807\uac8c \uc0dd\uac01\ud574\ubcf4\uc790. IRT\ub97c \ud3ec\ud568\ud55c \uac80\uc0ac\ub97c \ubd84\uc11d\ud560 \ub54c \uc6b0\ub9ac\uac00 \uad00\uc2ec\uc744 \uac00\uc9c0\ub294 \uac83\uc740 \ub2e4\uc74c\uc758 \uc138 \uac00\uc9c0\ub85c \ubd84\ub958\ud574 \ubcfc \uc218 \uc788\ub2e4.<\/p>\n<ol>\n<li>\uac80\uc0ac \uc790\uccb4\uc758 \ud2b9\uc131<\/li>\n<li>\ubb38\ud56d\uc758 \ud2b9\uc131<\/li>\n<li>\uc218\ud5d8\uc790\uc758 \ud2b9\uc131<\/li>\n<\/ol>\n<p>3\ubc88 \uc218\ud5d8\uc790\uc758 \ud2b9\uc131\uc774\ub780, \uc218\ud5d8\uc790\uc758 \ub2a5\ub825\uc744 \uc758\ubbf8\ud558\ub294 \uac83\uc774\uace0, 2\ubc88 \ubb38\ud56d\uc758 \ud2b9\uc131\uc774\ub780 \ubb38\ud56d\uc758 \ub09c\uc774\ub3c4, \ubcc0\ubcc4\ub3c4 \ub4f1\uc744 \uc758\ubbf8\ud55c\ub2e4. 1\ubc88 \uac80\uc0ac \uc790\uccb4\uc758 \ud2b9\uc131\uc774\ub780 \ubb38\ud56d\ub4e4\uc774 \ubaa8\uc5ec\uc11c \uc6b0\ub9ac\uac00 \uce21\uc815\ud558\ub824\ub294 \ub300\uc0c1(\ub2a5\ub825, \uc131\ud5a5, \uc801\uc131 \ub4f1)\uc744 \uc5bc\ub9c8\ub098 \uc815\ud655\ud558\uac8c \uadf8\ub9ac\uace0 \uc2e0\ube59\uc131 \uc788\uac8c \uce21\uc815\ud558\ub290\ub0d0\ub294 \uac83\uc774\ub2e4. <\/p>\n<p>\uc774\ub54c \uc218\ud5d8\uc790\uc758 \ud2b9\uc131\uc740 \ub208\uc5d0 \ubcf4\uc774\uc9c0 \uc54a\uace0, \uc9c1\uc811 \uce21\uc815\ud560 \uc218\ub3c4 \uc5c6\ub294 \uac83\uc774\ub2e4. \ub9cc\uc57d \uc9d1\ub2e8\ub9c8\ub2e4 \ubd84\ud3ec\uac00 \ub2e4\ub974\ub2e4\uace0 \ud574\ub3c4 \uc6b0\ub9ac\uac00 \uc774\ub97c \ud655\uc2e4\ud788 \ub208\uc73c\ub85c \ubcfc \uc218 \uc5c6\ub2e4. \ubc18\uba74 \ubb38\ud56d\uc774\ub780 <strong>\uac19\uc740<\/strong> \ubb38\ud56d\uc740 \uc5b4\ub5a4 \uc9d1\ub2e8\uc5d0\uac8c \uc81c\uc2dc\ub418\uc5c8\ub358 \uac04\uc5d0 <strong>\uac19\ub2e4<\/strong>\ub77c\uace0 \uc6b0\uc120 \uac00\uc815\ud55c\ub2e4. (\uc5ec\uae30\uc11c \uac00\uc815\ud55c\ub2e4\uace0 \ud558\ub294 \uac83\uc740 \ucc28\ubcc4\ubb38\ud56d\uae30\ub2a5\uc5d0\uc11c \ubcf4\ub4ef\uc774 \ub2e4\ub97c \uc218\ub3c4 \uc788\uae30 \ub54c\ubb38\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4 &ldquo;\ub450 \uac1c\uc758 \uc5d0\uba38\ub784\ub4dc\uc640 \ud55c \uac1c\uc758 \uc5d0\uba38\ub784\ub4dc\ub97c \ud569\uce58\uba74 \uba87 \uac1c\uc778\uac00?&quot;\ub77c\ub294 \uc9c8\ubb38\uc740 \uc5d0\uba38\ub784\ub4dc\ub97c \ub108\ubb34\ub098 \uc798 \uc54c\uace0 \uc788\uace0, \ud56d\uc0c1 \uba87 \uac1c\uc529 \uac00\uc9c0\uace0 \ub2e4\ub2c8\ub294 \uc544\uc774\ub4e4\uacfc \uc5d0\uba38\ub784\ub4dc\ub780 \ub2e8\uc5b4 \uc790\uccb4\ub97c \ubaa8\ub974\ub294 \uc544\uc774\ub4e4\uc5d0\uac8c \uac19\ub2e4\uace0 \uc0dd\uac01\ud560 \uc218 \uc5c6\uae30 \ub54c\ubb38\uc774\ub2e4.)<\/p>\n<p>\ub2e4\uc74c\uc740 \uc55e\uc758 \ud3c9\uade0\uc774 \ub2e4\ub978 \ub450 \uc9d1\ub2e8\uc5d0 \ub300\ud55c 2PL \ubd84\uc11d \uacb0\uacfc\ub85c \uc5bb\uc5b4\uc9c4 \ubb38\ud56d \ub09c\uc774\ub3c4\uacfc \uc218\ud5d8\uc790\uc758 \ub2a5\ub825\uce58 \ucd94\uc815\uac12\uc744 \ud558\ub098\uc758 \uadf8\ub9bc\uc5d0 \ub098\ud0c0\ub0b8 \uac83\uc774\ub2e4.<\/p>\n<pre><code class=\"r\">library(WrightMap)\r\n\r\ndiffA &lt;- cfA[grepl(&#39;d&#39;, rownames(cfA)), &quot;par&quot;]\r\nnames(diffA) &lt;- 1:10\r\n\r\ndiffB &lt;- cfB[grepl(&#39;d&#39;, rownames(cfB)), &quot;par&quot;]\r\nnames(diffB) &lt;- 1:10\r\n\r\nwrightMap(fscores(fitA), diffA)\r\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-3\"\/><\/p>\n<pre>##          [,1]\r\n## 1  -1.4254750\r\n## 2  -0.7849791\r\n## 3   0.6550960\r\n## 4   0.1246907\r\n## 5  -1.6476004\r\n## 6  -2.7422941\r\n## 7   0.7555924\r\n## 8   1.5507982\r\n## 9  -1.3510807\r\n## 10 -0.3372793\r\n<\/pre>\n<pre><code class=\"r\">wrightMap(fscores(fitB), diffB)\r\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-3\"\/><\/p>\n<pre>##          [,1]\r\n## 1  -0.1325570\r\n## 2   0.1415064\r\n## 3   1.4158933\r\n## 4   1.1563284\r\n## 5  -0.6001822\r\n## 6  -1.6807807\r\n## 7   1.6392685\r\n## 8   2.4272736\r\n## 9  -0.4676746\r\n## 10  0.6706505\r\n<\/pre>\n<p>\uc5ec\uae30\uc11c \uc6b0\ub9ac\ub294 \ubb38\ud56d \ub09c\uc774\ub3c4\ub294 \ub2ec\ub77c\uc84c\uc9c0\ub9cc, \ubb38\ud56d \uc0ac\uc774\uc758 \uac70\ub9ac\ub294 \uc77c\uc815\ud558\uac8c \uc720\uc9c0\ub428\uc744 \uc54c \uc218 \uc788\ub2e4. \uadf8\ub9ac\uace0 \ubb38\ud56d\uc744 \uae30\uc900\uc73c\ub85c \uc0ac\ub78c\uc758 \ub2a5\ub825 \ud3c9\uade0\uc744 \ubcf4\uba74 \uadf8 \ucc28\uc774\ub294 \uc2e4\uc81c \ucc28\uc774\uc640 \ube44\uc2b7\ud55c 1\uc774\ub2e4.<\/p>\n<h3>\ubb38\ud56d \ubcc0\ubcc4\ub3c4 \ubd88\ubcc0\uc131<\/h3>\n<p>\ubcc0\ubcc4\ub3c4\uc758 \uacbd\uc6b0\ub3c4 \ub9c8\ucc2c\uac00\uc9c0\uc774\ub2e4. \ub9cc\uc57d \ud45c\ubcf8 \uc9d1\ub2e8\uc758 \ub2a5\ub825 \ubd84\uc0b0\uc774 \ub2e4\ub974\ub2e4\uba74 \ubb38\ud56d\uc758 \ubcc0\ubcc4\ub3c4\ub294 \ub2e4\ub974\uac8c \ucd94\uc815\ub420 \uac83\uc774\ub2e4. \ud558\uc9c0\ub9cc \ubb38\ud56d \uac04\uc758 \ub09c\uc774\ub3c4 \ucc28\uc774\ub97c \uace0\ub824\ud574\ubcfc \ub54c, \ubb38\ud56d\uc758 \ubcc0\ubcc4\ub3c4\uc758 \uc758\ubbf8\ub294 \ub3d9\uc77c\ud558\uac8c \uc720\uc9c0\ub41c\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \ubb38\ud56d \uac04\uc758 \ub09c\uc774\ub3c4 \ucc28\uc774\uac00 \uc99d\uac00\ub418\uba74 \ubcc0\ubcc4\ub3c4\ub3c4 \uac10\uc18c\ud558\uace0, \ubb38\ud56d \uac04\uc758 \ub09c\uc774\ub3c4 \ucc28\uc774\uac00 \uc904\uc5b4\ub4e4\uba74 \ubcc0\ubcc4\ub3c4\ub294 \uc99d\uac00\ud558\uac8c \ub41c\ub2e4. <\/p>\n<pre><code class=\"r\">d = rnorm(10)\r\nthA = matrix(rnorm(1000, mean=0, sd=0.7), 1000, 1)\r\nthB = matrix(rnorm(1000, mean=0, sd=1.4), 1000, 1)\r\nYA &lt;- simdata(a=a, d=d, itemtype=&#39;2PL&#39;, Theta=thA)\r\nYB &lt;- simdata(a=a, d=d, itemtype=&#39;2PL&#39;, Theta=thB)\r\n\r\nfitA &lt;- mirt(YA, itemtype=&#39;2PL&#39;, model=1, SE=TRUE)\r\nfitB &lt;- mirt(YB, itemtype=&#39;2PL&#39;, model=1, SE=TRUE)\r\n\r\ncfA &lt;- coef(fitA, as.data.frame=TRUE)\r\ncfB &lt;- coef(fitB, as.data.frame=TRUE)\r\n\r\ndat &lt;- rbind(\r\n  cfA[grepl(&#39;[.]a&#39;, rownames(cfA)), ,drop=FALSE] %&gt;% \r\n    as_tibble %&gt;% \r\n    rownames_to_column(var=&#39;item&#39;) %&gt;% \r\n    mutate(group=&#39;A&#39;),\r\n  cfB[grepl(&#39;[.]a&#39;, rownames(cfB)), ,drop=FALSE] %&gt;% \r\n    as_tibble %&gt;% \r\n    rownames_to_column(var=&#39;item&#39;) %&gt;% \r\n    mutate(group=&#39;B&#39;)\r\n) %&gt;% \r\n  mutate(item = factor(item, levels=1:10))\r\n<\/code><\/pre>\n<pre>## \r\nIteration: 1, Log-Lik: -5909.715, Max-Change: 0.17443\r\nIteration: 2, Log-Lik: -5899.020, Max-Change: 0.08096\r\nIteration: 3, Log-Lik: -5897.047, Max-Change: 0.04394\r\nIteration: 4, Log-Lik: -5896.413, Max-Change: 0.02336\r\nIteration: 5, Log-Lik: -5896.251, Max-Change: 0.01254\r\nIteration: 6, Log-Lik: -5896.205, Max-Change: 0.00747\r\nIteration: 7, Log-Lik: -5896.187, Max-Change: 0.00319\r\nIteration: 8, Log-Lik: -5896.183, Max-Change: 0.00241\r\nIteration: 9, Log-Lik: -5896.182, Max-Change: 0.00132\r\nIteration: 10, Log-Lik: -5896.181, Max-Change: 0.00057\r\nIteration: 11, Log-Lik: -5896.181, Max-Change: 0.00028\r\nIteration: 12, Log-Lik: -5896.181, Max-Change: 0.00023\r\nIteration: 13, Log-Lik: -5896.181, Max-Change: 0.00012\r\nIteration: 14, Log-Lik: -5896.181, Max-Change: 0.00010\r\n## \r\n## \r\n## Calculating information matrix...\r\n## \r\nIteration: 1, Log-Lik: -5689.507, Max-Change: 0.30165\r\nIteration: 2, Log-Lik: -5617.278, Max-Change: 0.16612\r\nIteration: 3, Log-Lik: -5599.240, Max-Change: 0.08868\r\nIteration: 4, Log-Lik: -5594.195, Max-Change: 0.04930\r\nIteration: 5, Log-Lik: -5592.647, Max-Change: 0.02773\r\nIteration: 6, Log-Lik: -5592.161, Max-Change: 0.01620\r\nIteration: 7, Log-Lik: -5591.955, Max-Change: 0.00689\r\nIteration: 8, Log-Lik: -5591.924, Max-Change: 0.00416\r\nIteration: 9, Log-Lik: -5591.913, Max-Change: 0.00239\r\nIteration: 10, Log-Lik: -5591.908, Max-Change: 0.00121\r\nIteration: 11, Log-Lik: -5591.907, Max-Change: 0.00067\r\nIteration: 12, Log-Lik: -5591.907, Max-Change: 0.00039\r\nIteration: 13, Log-Lik: -5591.907, Max-Change: 0.00022\r\nIteration: 14, Log-Lik: -5591.907, Max-Change: 0.00014\r\nIteration: 15, Log-Lik: -5591.907, Max-Change: 0.00011\r\nIteration: 16, Log-Lik: -5591.907, Max-Change: 0.00006\r\n## \r\n## \r\n## Calculating information matrix...\r\n<\/pre>\n<pre><code class=\"r\">pd = position_dodge(0.1)\r\ndat %&gt;% ggplot(aes(x=item, y=par, ymin=CI_2.5, ymax=CI_97.5, col=group)) +\r\n  geom_point(position=pd) + geom_errorbar(width=0.1, position=pd) +\r\n  labs(y=&#39;Estimated discrimination&#39;) + \r\n  labs(x=&#39;Items&#39;)\r\n<\/code><\/pre>\n<p><img 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\ub0b4\uc6a9\uc774\ub2e4.[1] &quot;\ubb38\ud56d\ubc18\uc751\uc774\ub860\uc740 \ub2a5\ub825\uc774 \ub0ae\uc740 \ud53c\ud5d8\uc790 \uc9d1\ub2e8\uc5d0 \uac80\uc0ac\ub97c \uc2e4\uc2dc\ud574\ub3c4 \ub2a5\ub825\uc774 \ub192\uc740 \ud53c\ud5d8\uc790 \uc9d1\ub2e8\uc5d0 \uac80\uc0ac\ub97c \uc2e4\uc2dc\ud574\ub3c4 \ubb38\ud56d\ub09c\uc774\ub3c4, \ubb38\ud56d\ubcc0\ubcc4\ub3c4, \ubb38\ud56d\ucd94\uce21\ub3c4\ub97c \ucd94\uc815\ud558\uc600\uc744 \ub54c \uac12\uc774 \uac19\ub2e4\ub294 \uac83\uc774\ub2e4.&rdquo; [1]: \ube44\ub2e8 \uc774 \ucc45\ub9cc \uc544\ub2c8\uace0 \ub0b4\uac00 \ucc3e\uc544\ubcf8 \uac70\uc758 \ubaa8\ub4e0 \uad50\uc721 \ud3c9\uac00 \ucc45\uc5d0\ub294 \ub3d9\uc77c\ud55c \ub0b4\uc6a9\uc774 \ub3d9\uc77c\ud558\uac8c (\ub4a4\uc5d0\uc11c \uc0b4\ud3b4\ubcf4\uaca0\uc9c0\ub9cc) \ubd80\uc2e4\ud55c \uc124\uba85\uc73c\ub85c \uc801\ud600 \uc788\uc5c8\ub2e4. Christine DeMars\uac00 \uc124\uba85\ud55c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2007,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[319],"tags":[395,393,396,394,397],"jetpack_featured_media_url":"http:\/\/ds.sumeun.org\/wp-content\/uploads\/2019\/10\/IRT_invariance.png","_links":{"self":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2004"}],"collection":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2004"}],"version-history":[{"count":2,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2004\/revisions"}],"predecessor-version":[{"id":2006,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2004\/revisions\/2006"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/media\/2007"}],"wp:attachment":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2004"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}