{"id":1891,"date":"2019-07-13T15:48:52","date_gmt":"2019-07-13T06:48:52","guid":{"rendered":"http:\/\/141.164.34.82\/?p=1891"},"modified":"2019-07-13T17:14:57","modified_gmt":"2019-07-13T08:14:57","slug":"%eb%82%b4%ec%83%9d%ec%84%b1-%eb%b2%a0%ec%9d%b4%ec%a7%80%ec%95%88-%eb%b6%84%ec%84%9d-2-stan","status":"publish","type":"post","link":"http:\/\/ds.sumeun.org\/?p=1891","title":{"rendered":"\ub0b4\uc0dd\uc131: \ubca0\uc774\uc9c0\uc548 \ubd84\uc11d 2, Stan"},"content":{"rendered":"<p>\ubca0\uc774\uc9c0\uc548 \ucd94\ub860\uc758 \ub610 \ub2e4\ub978 \ud234\uc740 <a href=\"https:\/\/mc-stan.org\/users\/interfaces\/\">Stan<\/a>\uc774\ub2e4.<\/p>\n<p>JAGS\uac00 <strong>\uae41\uc2a4 \uc0d8\ud50c\ub9c1<\/strong>\uc73c\ub85c \uc0ac\ud6c4 \ubd84\ud3ec\ub97c \uad6c\ud55c\ub2e4\uba74,<br \/>\nStan\uc740 <strong>HMC<\/strong>\ub97c \ud65c\uc6a9\ud558\uc5ec \uc0ac\ud6c4 \ubd84\ud3ec\ub97c \uad6c\ud55c\ub2e4.<\/p>\n<p>Stan \ub610\ub294 Stan\uc774 \uad6c\ud604\ud558\ub294 HMC(<strong>H<\/strong>amiltonian <strong>M<\/strong>onte <strong>C<\/strong>arlo) \uc0d8\ud50c\ub9c1\uc774 \uae41\uc2a4 \uc0d8\ud50c\ub9c1\uc758 \ub2e8\uc810\uc744<br \/>\n\uac1c\uc120\ud558\uae30 \uc704\ud574 \ub9cc\ub4e4\uc5b4\uc84c\uc9c0\ub9cc Stan\uc774 \ud56d\uc0c1 JAGS\ubcf4\ub2e4 \uc88b\uc740 \uac83\uc740 \uc544\ub2c8\ub2e4. <\/p>\n<p>\uc2dc\uac04\uc774 \uaf64 \ud750\ub978 \ube14\ub85c\uadf8\uc774\uc9c0\ub9cc, <a href=\"https:\/\/www.r-bloggers.com\/jags-and-stan\/\">JAGS and Stan<\/a>.<\/p>\n<p>\uc544\ub798\uc758 \ucc38\uace0 \ubb38\ud5cc\uc5d0\uc11c\ub3c4 \ubcf4\ub354\ub77c\ub3c4 DINA\ub77c\ub294 \ubaa8\ud615\uc5d0 \uae41\uc2a4 \uc0d8\ud50c\ub9c1, \uba54\ud2b8\ub85c\ud3f4\ub9ac\uc2a4-\ud574\uc2a4\ud305\uc2a4(Metropolis-Hastings) \uc0d8\ud50c\ub9c1, HMC\ub97c \ube44\uad50\ud588\ub294\ub370,<br \/>\nHMC\uac00 MH(<strong>M<\/strong>etropolis-<strong>H<\/strong>astings)\ubcf4\ub2e4\ub294 \uc88b\uc558\uc9c0\ub9cc, \uc2dc\uac04 \ud6a8\uc728\uc5d0\uc11c \uae41\uc2a4 \uc0d8\ud50c\ub9c1\uc774 NUT(HMC\uc758 \ub2e8\uc810\uc744 \uac1c\uc120\ud55c \ubc29\ubc95)\ubcf4\ub2e4 <strong>\ud6e8\uc52c<\/strong> \uc88b\uc558\ub2e4.<\/p>\n<ul>\n<li>\ucc38\uace0\ubb38\ud5cc<br \/>\nda Silva, M. A., de Oliveira, E. S., von Davier, A. A., &amp; Bazan, J. L. (2018). Estimating the DINA model parameters using the No-U-Turn Sampler. Biometrical Journal, 60(2), 352-368.<\/li>\n<\/ul>\n<p>\uadf8\ub798\ub3c4 \uc55e\uc120 JAGS \ubaa8\ud615\uc744 Stan\uc73c\ub85c \uad6c\ud604\ud574 \ubcf4\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4. <\/p>\n<pre><code class=\"r\">## STAN MODEL\nmodel &lt;- &#39;\n\/\/ Simple linear regression with endogeneity\n\ndata {\n  int&lt;lower=0&gt; N; \/\/ number of subjects\n  real x[N];      \/\/ independent variables\n  real y[N];      \/\/ outcome variables\n  real meanx;     \/\/ meanx\n  real varx;      \/\/ varx\n}\n\nparameters{\n  real covXE;\n  real beta0;\n  real beta1;\n  real&lt;lower=0&gt; sigma2;\n}\n\ntransformed parameters{\n  real rho = covXE\/varx;\n  \/\/real tau = sigma2^(-2);\n  real varE = rho^2 * varx + sigma2^2;\n  \/\/real\n}\n\nmodel {\n  covXE ~ normal(5,1);\n  beta0 ~ normal(0, 10);\n  beta1 ~ normal(0, 10);\n  sigma2 ~ uniform(0, 100);\n  for (i in 1:N)\n    y[i] ~ normal(beta0 + beta1*x[i] + rho*(x[i]-meanx), sigma2);\n}\n&#39;\ncat(model, file=&quot;currentModel.stan&quot;)\n\n## DATA\nset.seed(1)\nN &lt;- 1000\ngene &lt;- rnorm(N)\npower &lt;- gene + (e1 = rnorm(N))\nheight &lt;- 180 + 5*gene + (e2 = rnorm(N))\nability &lt;- power + height\/10 + (e3 = rnorm(N))\nsummary(lm(ability ~ height)) # \uc608\uce21 \ubaa8\ud615\n<\/code><\/pre>\n<pre>## \n## Call:\n## lm(formula = ability ~ height)\n## \n## Residuals:\n##     Min      1Q  Median      3Q     Max \n## -5.1616 -1.0461 -0.0145  1.0365  5.0071 \n## \n## Coefficients:\n##              Estimate Std. Error t value Pr(&gt;|t|)    \n## (Intercept) -35.56398    1.59503  -22.30   &lt;2e-16 ***\n## height        0.29756    0.00886   33.59   &lt;2e-16 ***\n## ---\n## Signif. codes:  0 &#39;***&#39; 0.001 &#39;**&#39; 0.01 &#39;*&#39; 0.05 &#39;.&#39; 0.1 &#39; &#39; 1\n## \n## Residual standard error: 1.491 on 998 degrees of freedom\n## Multiple R-squared:  0.5306, Adjusted R-squared:  0.5301 \n## F-statistic:  1128 on 1 and 998 DF,  p-value: &lt; 2.2e-16\n<\/pre>\n<pre><code class=\"r\">summary(lm(ability ~ height + power)) # \uc6d0\uc778 \uacb0\uacfc \ubaa8\ud615\n<\/code><\/pre>\n<pre>## \n## Call:\n## lm(formula = ability ~ height + power)\n## \n## Residuals:\n##     Min      1Q  Median      3Q     Max \n## -3.2322 -0.7124 -0.0099  0.7173  3.0623 \n## \n## Coefficients:\n##              Estimate Std. Error t value Pr(&gt;|t|)    \n## (Intercept) -0.372789   1.551017   -0.24     0.81    \n## height       0.102167   0.008614   11.86   &lt;2e-16 ***\n## power        1.013926   0.031168   32.53   &lt;2e-16 ***\n## ---\n## Signif. codes:  0 &#39;***&#39; 0.001 &#39;**&#39; 0.01 &#39;*&#39; 0.05 &#39;.&#39; 0.1 &#39; &#39; 1\n## \n## Residual standard error: 1.039 on 997 degrees of freedom\n## Multiple R-squared:  0.7723, Adjusted R-squared:  0.7718 \n## F-statistic:  1691 on 2 and 997 DF,  p-value: &lt; 2.2e-16\n<\/pre>\n<pre><code class=\"r\">cov(height, power + e3)\n<\/code><\/pre>\n<pre>## [1] 5.604122\n<\/pre>\n<pre><code class=\"r\">x &lt;- height\ny &lt;- ability\nmeanx &lt;- mean(x)\nvarx &lt;- var(x)*(N-1)\/N\n\n\n## MCMC chains\nrequire(rstan)\nstanfit &lt;- stan(&#39;currentModel.stan&#39;, chains=3,\n                iter=5000, warmup=1000, cores=3)\n<\/code><\/pre>\n<pre>## recompiling to avoid crashing R session\n<\/pre>\n<pre>## Warning: There were 193 transitions after warmup that exceeded the maximum treedepth. Increase max_treedepth above 10. See\n## http:\/\/mc-stan.org\/misc\/warnings.html#maximum-treedepth-exceeded\n<\/pre>\n<pre>## Warning: Examine the pairs() plot to diagnose sampling problems\n<\/pre>\n<pre><code class=\"r\"># alogorithm can be &quot;NUTS&quot;(No-U-Turn sampler), &quot;HMC&quot;(Hamiltonian Monte Carlo)\n\n## ANALYSIS\nsummary(stanfit)\n<\/code><\/pre>\n<pre>## $summary\n##                mean      se_mean         sd          2.5%           25%\n## covXE     5.1501611 0.0174778331 0.85786425    3.43605107    4.57195789\n## beta0    -2.8003156 0.1150685314 5.55869719  -13.99516612   -6.44751117\n## beta1     0.1155023 0.0006393507 0.03089100    0.05497617    0.09479741\n## sigma2    1.4936135 0.0005221238 0.03380906    1.42917567    1.47036680\n## rho       0.1817408 0.0006167644 0.03027264    0.12125268    0.16133699\n## varE      3.1939866 0.0065668009 0.33152352    2.60603701    2.96444921\n## lp__   -900.4169546 0.0258137199 1.44914920 -904.10287033 -901.14463963\n##                 50%          75%        97.5%    n_eff     Rhat\n## covXE     5.1601522    5.7112963    6.8408076 2409.140 1.000817\n## beta0    -2.7969643    0.9192211    8.0940037 2333.635 1.000713\n## beta1     0.1154543    0.1358261    0.1778146 2334.456 1.000714\n## sigma2    1.4930532    1.5163966    1.5605360 4192.947 1.000251\n## rho       0.1820934    0.2015424    0.2414010 2409.140 1.000817\n## varE      3.1737907    3.3940699    3.9076323 2548.713 1.000422\n## lp__   -900.0959384 -899.3501613 -898.5974498 3151.556 1.001013\n## \n## $c_summary\n## , , chains = chain:1\n## \n##          stats\n## parameter         mean         sd          2.5%           25%          50%\n##    covXE     5.1313721 0.83957044    3.43605107    4.57636912    5.1636069\n##    beta0    -2.8873359 5.44414805  -13.91700534   -6.40549743   -2.8121955\n##    beta1     0.1159898 0.03026158    0.05624835    0.09563365    0.1155479\n##    sigma2    1.4948183 0.03441096    1.43132862    1.47114592    1.4936091\n##    rho       0.1810778 0.02962708    0.12125268    0.16149265    0.1822153\n##    varE      3.1897111 0.32232100    2.60716723    2.97199407    3.1743552\n##    lp__   -900.4027924 1.46621153 -904.17018310 -901.11980287 -900.0697335\n##          stats\n## parameter          75%        97.5%\n##    covXE     5.6728616    6.7689017\n##    beta0     0.7610194    7.8425654\n##    beta1     0.1356727    0.1773804\n##    sigma2    1.5176589    1.5658123\n##    rho       0.2001861    0.2388636\n##    varE      3.3881855    3.8883487\n##    lp__   -899.3267717 -898.5869159\n## \n## , , chains = chain:2\n## \n##          stats\n## parameter         mean         sd          2.5%           25%          50%\n##    covXE     5.1387402 0.89118778    3.42898787    4.53155807    5.1133255\n##    beta0    -2.8978242 5.79000796  -14.15229461   -6.78341718   -3.0083340\n##    beta1     0.1160433 0.03217695    0.05341483    0.09414703    0.1166375\n##    sigma2    1.4928036 0.03417094    1.42832408    1.46931422    1.4920719\n##    rho       0.1813378 0.03144857    0.12100343    0.15991134    0.1804410\n##    varE      3.1894974 0.34591082    2.59669282    2.94753741    3.1594956\n##    lp__   -900.4541403 1.47146276 -904.16599684 -901.15405705 -900.1263251\n##          stats\n## parameter          75%        97.5%\n##    covXE     5.7268232    6.9402935\n##    beta0     1.0321895    8.3591987\n##    beta1     0.1374552    0.1786248\n##    sigma2    1.5160543    1.5597252\n##    rho       0.2020903    0.2449117\n##    varE      3.3879482    3.9451043\n##    lp__   -899.3832946 -898.6125729\n## \n## , , chains = chain:3\n## \n##          stats\n## parameter         mean         sd          2.5%           25%          50%\n##    covXE     5.1803710 0.84123163    3.46440549    4.61098802    5.1982324\n##    beta0    -2.6157865 5.43127173  -13.87442133   -6.19829787   -2.5462290\n##    beta1     0.1144738 0.03017502    0.05534193    0.09448747    0.1139699\n##    sigma2    1.4932187 0.03279785    1.42972154    1.47046485    1.4936441\n##    rho       0.1828069 0.02968570    0.12225326    0.16271430    0.1834372\n##    varE      3.2027513 0.32575772    2.60808247    2.97595951    3.1897279\n##    lp__   -900.3939311 1.40856582 -903.94113798 -901.15037669 -900.0874199\n##          stats\n## parameter          75%        97.5%\n##    covXE     5.7278314    6.8324713\n##    beta0     0.9824730    7.9993459\n##    beta1     0.1344158    0.1769755\n##    sigma2    1.5156740    1.5570008\n##    rho       0.2021259    0.2411068\n##    varE      3.4040959    3.8959928\n##    lp__   -899.3439732 -898.6011902\n<\/pre>\n<pre><code class=\"r\">plot(stanfit)\n<\/code><\/pre>\n<pre>## ci_level: 0.8 (80% intervals)\n<\/pre>\n<pre>## outer_level: 0.95 (95% intervals)\n<\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-1\"\/><\/p>\n<pre><code class=\"r\">pairs(stanfit, pars= c(&quot;beta1&quot;, &quot;covXE&quot;, &quot;sigma2&quot;))\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-1\"\/><\/p>\n<p>\uc5ec\uae30\uc11c \uc7a0\uae50. \uc704\uc758 stan \ubaa8\ud615\uc744 \ubcf4\uba74, \\(x\\) \uc5d0 \ub300\ud574 <strong>\ud3c9\uade0\uc911\uc2ec\ud654\ub97c \ud558\uc9c0 \uc54a\uc558\uc74c<\/strong>\uc5d0\ub3c4 \uc801\uc808\ud788 \uc218\ub834(convergence)\uac00 \uc774\ub8e8\uc5b4\uc84c\ub2e4. \ube44\ub85d \uac19\uc740\ud45c\ubcf8 \uc218\ub97c \uc5bb\uae30 \uc704\ud574 \uc2dc\uac04\uc774 \uc624\ub798 \uac78\ub9ac\uc9c0\ub9cc, \uc774\ub807\uac8c JAGS\uc640 Stan\uc758 \uc11c\ub85c \ub2e4\ub978 \uac15\uc810\uacfc \ub2e8\uc810\uc744 \uac00\uc9c0\uace0 \uc788\ub2e4. \ud2b9\ud788 (\uc218\ub834\uc774 \uc798 \uc774\ub8e8\uc5b4\uc9c0\uc9c0 \uc54a\ub294) \ubcf5\uc7a1\ud55c \ubaa8\ud615\uc5d0\uc11c Stan\uc774 \uac15\uc810\uc744 \ub098\ud0c0\ub0b8\ub2e4\uace0 \ud55c\ub2e4.  <\/p>\n<pre><code class=\"r\">traceplot(stanfit)\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-2\"\/><\/p>\n<ul>\n<li>\ucc38\uace0\uc790\ub8cc\n<ul>\n<li><a href=\"https:\/\/www.boelstad.net\/post\/stan_vs_jags_speed\/\">How Efficient is Stan Compared to JAGS?<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\ubca0\uc774\uc9c0\uc548 \ucd94\ub860\uc758 \ub610 \ub2e4\ub978 \ud234\uc740 Stan\uc774\ub2e4. JAGS\uac00 \uae41\uc2a4 \uc0d8\ud50c\ub9c1\uc73c\ub85c \uc0ac\ud6c4 \ubd84\ud3ec\ub97c \uad6c\ud55c\ub2e4\uba74, Stan\uc740 HMC\ub97c \ud65c\uc6a9\ud558\uc5ec \uc0ac\ud6c4 \ubd84\ud3ec\ub97c \uad6c\ud55c\ub2e4. Stan \ub610\ub294 Stan\uc774 \uad6c\ud604\ud558\ub294 HMC(Hamiltonian Monte Carlo) \uc0d8\ud50c\ub9c1\uc774 \uae41\uc2a4 \uc0d8\ud50c\ub9c1\uc758 \ub2e8\uc810\uc744 \uac1c\uc120\ud558\uae30 \uc704\ud574 \ub9cc\ub4e4\uc5b4\uc84c\uc9c0\ub9cc Stan\uc774 \ud56d\uc0c1 JAGS\ubcf4\ub2e4 \uc88b\uc740 \uac83\uc740 \uc544\ub2c8\ub2e4. \uc2dc\uac04\uc774 \uaf64 \ud750\ub978 \ube14\ub85c\uadf8\uc774\uc9c0\ub9cc, JAGS and Stan. \uc544\ub798\uc758 \ucc38\uace0 \ubb38\ud5cc\uc5d0\uc11c\ub3c4 \ubcf4\ub354\ub77c\ub3c4 DINA\ub77c\ub294 \ubaa8\ud615\uc5d0 \uae41\uc2a4 \uc0d8\ud50c\ub9c1, \uba54\ud2b8\ub85c\ud3f4\ub9ac\uc2a4-\ud574\uc2a4\ud305\uc2a4(Metropolis-Hastings) \uc0d8\ud50c\ub9c1, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1893,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[146,319],"tags":[345,334,333,321,338,335,336,337],"jetpack_featured_media_url":"http:\/\/ds.sumeun.org\/wp-content\/uploads\/2019\/07\/lm_08_bayesian_CausalModel_stan.png","_links":{"self":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/1891"}],"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=1891"}],"version-history":[{"count":4,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/1891\/revisions"}],"predecessor-version":[{"id":1896,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/1891\/revisions\/1896"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/media\/1893"}],"wp:attachment":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1891"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1891"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1891"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}