limour
/
occdn.limour.top


			
							123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529530531532533534535536537538539540541542543544545546547548549550551552553554555556557558559560561562563564565566567568569570571572573574575576577578579580581582583584585586587588589590591592593594595596597598599600601602603604605606607608609610611612613614615616617618619620621622623624625626627628629630631632633634635636637638639640641642643644645646647648649650651652653654655656657658659660661662663664665666667668669670671
							

<!DOCTYPE html>
<html lang="en" data-default-color-scheme=auto>


<head><!-- hexo injector head_begin start -->
  <script async src="https://analytics.umami.is/script.js" data-website-id="e59ec28a-c9a7-4104-9e62-a9f7eb3fac0b"></script>
<!-- hexo injector head_begin end -->
  <meta charset="UTF-8">
  <link rel="apple-touch-icon" sizes="76x76" href="https://img.limour.top/2023/08/29/64ee07361815a.webp">
  <link rel="icon" href="https://img.limour.top/2023/08/29/64ee07361815a.webp">
  <meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=5.0, shrink-to-fit=no">
  <meta http-equiv="x-ua-compatible" content="ie=edge">
  
  <meta name="theme-color" content="#2f4154">
  <meta name="author" content="Limour">
  <meta name="keywords" content="">
  
    <meta name="description" content="模型来源，参考1、参考2 安装补充包 conda activate ggsurvplot conda install -c conda-forge r-timeroc -y conda install -c conda-forge r-gert -y conda install -c conda-forge r-devtools -y conda install -c r r-proc -y #">
<meta property="og:type" content="article">
<meta property="og:title" content="评价临床预测模型">
<meta property="og:url" content="https://occdn.limour.top/2112.html">
<meta property="og:site_name" content="Limour&#39;s Blog">
<meta property="og:description" content="模型来源，参考1、参考2 安装补充包 conda activate ggsurvplot conda install -c conda-forge r-timeroc -y conda install -c conda-forge r-gert -y conda install -c conda-forge r-devtools -y conda install -c r r-proc -y #">
<meta property="og:locale" content="en_US">
<meta property="og:image" content="https://img-cdn.limour.top/2022/07/17/62d373489eed0.png">
<meta property="article:published_time" content="2022-07-17T03:27:54.000Z">
<meta property="article:modified_time" content="2023-09-01T13:28:03.273Z">
<meta property="article:author" content="Limour">
<meta name="twitter:card" content="summary_large_image">
<meta name="twitter:image" content="https://img-cdn.limour.top/2022/07/17/62d373489eed0.png">
  
  
  <title>评价临床预测模型 - Limour&#39;s Blog</title>

  <link  rel="stylesheet" href="https://jscdn.limour.top/npm/bootstrap@4.6.1/dist/css/bootstrap.min.css" />


  <link  rel="stylesheet" href="https://jscdn.limour.top/npm/github-markdown-css@4.0.0/github-markdown.min.css" />

  <link  rel="stylesheet" href="https://jscdn.limour.top/npm/hint.css@2.7.0/hint.min.css" />

  <link  rel="stylesheet" href="https://lib.baomitu.com/fancybox/3.5.7/jquery.fancybox.min.css" />


<!-- 主题依赖的图标库，不要自行修改 -->
<!-- Do not modify the link that theme dependent icons -->

<link rel="stylesheet" href="//at.alicdn.com/t/font_1749284_hj8rtnfg7um.css">


<link rel="stylesheet" href="//at.alicdn.com/t/font_1736178_lbnruvf0jn.css">


<link  rel="stylesheet" href="/css/main.css" />


  <link id="highlight-css" rel="stylesheet" href="/css/highlight.css" />
  
    <link id="highlight-css-dark" rel="stylesheet" href="/css/highlight-dark.css" />
  

<link rel="stylesheet" href="/theme-inject/custom.css">


  <script id="fluid-configs">
    var Fluid = window.Fluid || {};
    Fluid.ctx = Object.assign({}, Fluid.ctx)
    var CONFIG = {"hostname":"occdn.limour.top","root":"/","version":"1.9.5-a","typing":{"enable":true,"typeSpeed":70,"cursorChar":"_","loop":false,"scope":[]},"anchorjs":{"enable":true,"element":"h1,h2,h3,h4,h5,h6","placement":"left","visible":"hover","icon":"§"},"progressbar":{"enable":true,"height_px":3,"color":"#29d","options":{"showSpinner":false,"trickleSpeed":100}},"code_language":{"enable":true,"default":"TEXT"},"copy_btn":true,"image_caption":{"enable":true},"image_zoom":{"enable":true,"img_url_replace":["",""]},"toc":{"enable":true,"placement":"right","headingSelector":"h1,h2,h3,h4,h5,h6","collapseDepth":0},"lazyload":{"enable":true,"loading_img":"https://jscdn.limour.top/gh/Limour-dev/Sakurairo_Vision/load_svg/inload.svg","onlypost":false,"offset_factor":2},"web_analytics":{"enable":false,"follow_dnt":true,"baidu":null,"google":{"measurement_id":null},"tencent":{"sid":null,"cid":null},"woyaola":null,"cnzz":null,"leancloud":{"app_id":null,"app_key":null,"server_url":null,"path":"window.location.pathname","ignore_local":false}},"search_path":"/local-search.xml","include_content_in_search":true};

    if (CONFIG.web_analytics.follow_dnt) {
      var dntVal = navigator.doNotTrack || window.doNotTrack || navigator.msDoNotTrack;
      Fluid.ctx.dnt = dntVal && (dntVal.startsWith('1') || dntVal.startsWith('yes') || dntVal.startsWith('on'));
    }
  </script>
  <script  src="/js/utils.js" ></script>
  <script  src="/js/color-schema.js" ></script>
  

<meta name="generator" content="Hexo 6.3.0"></head>


<body>
  

  <header>
    

<div class="header-inner" style="height: 70vh;">
  <nav id="navbar" class="navbar fixed-top  navbar-expand-lg navbar-dark scrolling-navbar">
  <div class="container">
    <a class="navbar-brand" href="/">
      <strong>Limour&#39;s Blog</strong>
    </a>

    <button id="navbar-toggler-btn" class="navbar-toggler" type="button" data-toggle="collapse"
            data-target="#navbarSupportedContent"
            aria-controls="navbarSupportedContent" aria-expanded="false" aria-label="Toggle navigation">
      <div class="animated-icon"><span></span><span></span><span></span></div>
    </button>

    <!-- Collapsible content -->
    <div class="collapse navbar-collapse" id="navbarSupportedContent">
      <ul class="navbar-nav ml-auto text-center">
        
          
            <li class="nav-item">
              <a class="nav-link" href="/">
                <i class="iconfont icon-home-fill"></i>
                <span>Home</span>
              </a>
            </li>
          
        
            <li class="nav-item">
              <a class="nav-link" href="/archives/">
                <i class="iconfont icon-archive-fill"></i>
                <span>Archives</span>
              </a>
            </li>
          
        
          <li class="nav-item" id="search-btn">
            <a class="nav-link" target="_self" href="javascript:;" data-toggle="modal" data-target="#modalSearch" aria-label="Search">
              <i class="iconfont icon-search"></i>
            </a>
          </li>
          
        
          <li class="nav-item" id="color-toggle-btn">
            <a class="nav-link" target="_self" href="javascript:;" aria-label="Color Toggle">
              <i class="iconfont icon-dark" id="color-toggle-icon"></i>
            </a>
          </li>
        
      </ul>
    </div>
  </div>
</nav>

  
<div id="banner" class="banner" parallax=true
     style="background: url('https://img.limour.top/2023/08/29/64ee08e108638.webp') no-repeat center center; background-size: cover;">
  <div class="full-bg-img">
    <div class="mask flex-center" style="background-color: rgba(0, 0, 0, 0.3)">
      <div class="banner-text text-center fade-in-up">
        <div class="h2">
          
            <span id="subtitle" data-typed-text="评价临床预测模型"></span>
          
        </div>

        
  <div class="mt-3">
    
    
      <span class="post-meta">
        <i class="iconfont icon-date-fill" aria-hidden="true"></i>
        <time datetime="2022-07-17 11:27" pubdate>
          July 17, 2022 am
        </time>
      </span>
    
  </div>

  <div class="mt-1">
    
      <span class="post-meta mr-2">
        <i class="iconfont icon-chart"></i>
        
          3.9k words
        
      </span>
    

      <span class="post-meta mr-2">
        <i class="iconfont icon-clock-fill"></i>
        
        
          33 mins
        
      </span>
    

  </div>


      </div>

      
    </div>
  </div>
</div>

</div>

  </header>

  <main>
    
      
<div class="container-fluid nopadding-x">
  <div class="row nomargin-x">
    <div class="side-col d-none d-lg-block col-lg-2">
      

    </div>

    <div class="col-lg-8 nopadding-x-md">
      <div class="container nopadding-x-md" id="board-ctn">
        <div id="board">
          <article class="post-content mx-auto">
            <h1 id="seo-header">评价临床预测模型</h1>
            
            
              <div class="markdown-body">
                
                <p><a href="https://occdn.limour.top/2110.html">模型来源</a>，<a target="_blank" rel="noopener" href="https://m.iikx.com/e/action/ShowInfo.php?classid=17&id=10597&page=3">参考1</a>、<a target="_blank" rel="noopener" href="https://zhuanlan.zhihu.com/p/417683150">参考2</a></p>
<h2 id="安装补充包"><a href="#安装补充包" class="headerlink" title="安装补充包"></a>安装补充包</h2><ul>
<li><a href="https://occdn.limour.top/1820.html">conda activate ggsurvplot</a></li>
<li>conda install -c conda-forge r-timeroc -y</li>
<li>conda install -c conda-forge r-gert -y</li>
<li>conda install -c conda-forge r-devtools -y</li>
<li>conda install -c r r-proc -y</li>
<li># conda install -c r r-nricens -y</li>
<li>~&#x2F;dev&#x2F;xray&#x2F;xray -c ~&#x2F;etc&#x2F;xui2.json &amp;</li>
<li>wget -e “https_proxy&#x3D;<a target="_blank" rel="noopener" href="http://127.0.0.1:20809/">http://127.0.0.1:20809</a>“ <a target="_blank" rel="noopener" href="https://github.com/yikeshu0611/ggDCA/archive/refs/heads/master.zip">https://github.com/yikeshu0611/ggDCA/archive/refs/heads/master.zip</a> -O ggDCA-master.zip</li>
<li>install.packages(‘nricens’)</li>
<li># install.packages(‘ggDCA’)</li>
<li>devtools::install_local(‘ggDCA-master.zip’)</li>
<li>install.packages(‘rmda’)</li>
</ul>
<figure class="highlight r"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br></pre></td><td class="code"><pre><code class="hljs R">library<span class="hljs-punctuation">(</span>pROC<span class="hljs-punctuation">)</span> <span class="hljs-comment">#绘制ROC曲线</span><br>library<span class="hljs-punctuation">(</span>timeROC<span class="hljs-punctuation">)</span><br>library<span class="hljs-punctuation">(</span>ggDCA<span class="hljs-punctuation">)</span> <span class="hljs-comment">#绘制DCA曲线</span><br>library<span class="hljs-punctuation">(</span>nricens<span class="hljs-punctuation">)</span> <span class="hljs-comment">#计算NRI值</span><br></code></pre></td></tr></table></figure>

<h2 id="Logistic回归的诺莫图的校准图"><a href="#Logistic回归的诺莫图的校准图" class="headerlink" title="Logistic回归的诺莫图的校准图"></a>Logistic回归的诺莫图的校准图</h2><figure class="highlight r"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br></pre></td><td class="code"><pre><code class="hljs R">fit <span class="hljs-operator">&lt;-</span> lrm<span class="hljs-punctuation">(</span>formula<span class="hljs-punctuation">(</span>lrmf<span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span> data<span class="hljs-operator">=</span>df<span class="hljs-punctuation">,</span> x<span class="hljs-operator">=</span><span class="hljs-literal">TRUE</span><span class="hljs-punctuation">,</span> y<span class="hljs-operator">=</span><span class="hljs-literal">TRUE</span><span class="hljs-punctuation">,</span> maxit<span class="hljs-operator">=</span><span class="hljs-number">1000</span><span class="hljs-punctuation">)</span><br>cal <span class="hljs-operator">&lt;-</span> calibrate<span class="hljs-punctuation">(</span>fit<span class="hljs-punctuation">,</span> method<span class="hljs-operator">=</span><span class="hljs-string">&quot;boot&quot;</span><span class="hljs-punctuation">,</span> B<span class="hljs-operator">=</span><span class="hljs-number">1000</span><span class="hljs-punctuation">)</span><br>plot<span class="hljs-punctuation">(</span>cal<span class="hljs-punctuation">,</span><br>　　xlab<span class="hljs-operator">=</span><span class="hljs-string">&quot;Nomogram-predicted probability of nonadherence&quot;</span><span class="hljs-punctuation">,</span><br>　　ylab<span class="hljs-operator">=</span><span class="hljs-string">&quot;Actual diagnosed nonadherence (proportion)&quot;</span><span class="hljs-punctuation">,</span><br>　　sub<span class="hljs-operator">=</span><span class="hljs-built_in">F</span><span class="hljs-punctuation">)</span><br></code></pre></td></tr></table></figure>

<p>其中Bias-corrected为校正曲线，而对角线Ideal为理想的曲线。校正曲线与理想曲线之间越相近，说明模型的预测能力越好。</p>
<h2 id="COX回归的诺莫图的校准图"><a href="#COX回归的诺莫图的校准图" class="headerlink" title="COX回归的诺莫图的校准图"></a>COX回归的诺莫图的校准图</h2><figure class="highlight r"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br></pre></td><td class="code"><pre><code class="hljs R">f_cph_2 <span class="hljs-operator">&lt;-</span> cph<span class="hljs-punctuation">(</span>formula<span class="hljs-punctuation">(</span>coxmf<span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span><br>               x<span class="hljs-operator">=</span><span class="hljs-built_in">T</span><span class="hljs-punctuation">,</span> y<span class="hljs-operator">=</span><span class="hljs-built_in">T</span><span class="hljs-punctuation">,</span> surv<span class="hljs-operator">=</span><span class="hljs-built_in">T</span><span class="hljs-punctuation">,</span><br>               data<span class="hljs-operator">=</span>df<span class="hljs-punctuation">)</span><br>cal_2 <span class="hljs-operator">&lt;-</span> calibrate<span class="hljs-punctuation">(</span>f_cph_2<span class="hljs-punctuation">,</span> u<span class="hljs-operator">=</span><span class="hljs-number">5</span><span class="hljs-punctuation">,</span> cmethod<span class="hljs-operator">=</span><span class="hljs-string">&#x27;KM&#x27;</span><span class="hljs-punctuation">,</span> m<span class="hljs-operator">=</span><span class="hljs-number">15</span><span class="hljs-punctuation">,</span> B<span class="hljs-operator">=</span><span class="hljs-number">200</span><span class="hljs-punctuation">)</span><span class="hljs-comment"># usually B=200 or 300, u=5表示五年</span><br>options<span class="hljs-punctuation">(</span>repr.plot.width<span class="hljs-operator">=</span><span class="hljs-number">10</span><span class="hljs-punctuation">,</span> repr.plot.height<span class="hljs-operator">=</span><span class="hljs-number">10</span><span class="hljs-punctuation">)</span><br>plot<span class="hljs-punctuation">(</span>cal_2<span class="hljs-punctuation">,</span>lwd<span class="hljs-operator">=</span><span class="hljs-number">2</span><span class="hljs-punctuation">,</span>lty<span class="hljs-operator">=</span><span class="hljs-number">1</span><span class="hljs-punctuation">,</span>  <span class="hljs-comment">##设置线条宽度和线条类型</span><br>     errbar.col<span class="hljs-operator">=</span><span class="hljs-built_in">c</span><span class="hljs-punctuation">(</span>rgb<span class="hljs-punctuation">(</span><span class="hljs-number">0</span><span class="hljs-punctuation">,</span><span class="hljs-number">118</span><span class="hljs-punctuation">,</span><span class="hljs-number">192</span><span class="hljs-punctuation">,</span>maxColorValue <span class="hljs-operator">=</span> <span class="hljs-number">255</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">##设置一个颜色</span><br>     xlab<span class="hljs-operator">=</span><span class="hljs-string">&#x27;Nomogram-Predicted Probability of 5 years DFS&#x27;</span><span class="hljs-punctuation">,</span><span class="hljs-comment">#便签</span><br>     ylab<span class="hljs-operator">=</span><span class="hljs-string">&#x27;Actual 5 years DFS(proportion)&#x27;</span><span class="hljs-punctuation">,</span><span class="hljs-comment">#标签</span><br>     col<span class="hljs-operator">=</span><span class="hljs-built_in">c</span><span class="hljs-punctuation">(</span>rgb<span class="hljs-punctuation">(</span><span class="hljs-number">192</span><span class="hljs-punctuation">,</span><span class="hljs-number">98</span><span class="hljs-punctuation">,</span><span class="hljs-number">83</span><span class="hljs-punctuation">,</span>maxColorValue <span class="hljs-operator">=</span> <span class="hljs-number">255</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span><span class="hljs-comment">#设置一个颜色</span><br>     xlim <span class="hljs-operator">=</span> <span class="hljs-built_in">c</span><span class="hljs-punctuation">(</span><span class="hljs-number">0</span><span class="hljs-punctuation">,</span><span class="hljs-number">1</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span>ylim <span class="hljs-operator">=</span> <span class="hljs-built_in">c</span><span class="hljs-punctuation">(</span><span class="hljs-number">0</span><span class="hljs-punctuation">,</span><span class="hljs-number">1</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span><span class="hljs-comment">##x轴和y轴范围</span><br>     mgp <span class="hljs-operator">=</span> <span class="hljs-built_in">c</span><span class="hljs-punctuation">(</span><span class="hljs-number">2</span><span class="hljs-punctuation">,</span> <span class="hljs-number">1</span><span class="hljs-punctuation">,</span> <span class="hljs-number">0</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">)</span> <span class="hljs-comment">#控制坐标轴的位置</span><br></code></pre></td></tr></table></figure>

<h2 id="计算C指数"><a href="#计算C指数" class="headerlink" title="计算C指数"></a><strong>计算C指数</strong></h2><ul>
<li>rcorrcens((dcf_status&#x3D;&#x3D;0)~predict(f2), data &#x3D; df)</li>
<li>&lt;0.5 模型没有任何预测能力</li>
<li>0.51-0.7 较差的准确性</li>
<li>0.71-0.9 中等的准确性</li>
<li>&gt; 0.9 高度的准确性</li>
</ul>
<h2 id="ROC曲线"><a href="#ROC曲线" class="headerlink" title="ROC曲线"></a><strong>ROC曲线</strong></h2><figure class="highlight r"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br></pre></td><td class="code"><pre><code class="hljs R">gfit <span class="hljs-operator">&lt;-</span> roc<span class="hljs-punctuation">(</span><span class="hljs-punctuation">(</span>dcf_status<span class="hljs-operator">==</span><span class="hljs-number">0</span><span class="hljs-punctuation">)</span><span class="hljs-operator">~</span>predict<span class="hljs-punctuation">(</span>f2<span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span> data <span class="hljs-operator">=</span> df<span class="hljs-punctuation">)</span><br>options<span class="hljs-punctuation">(</span>repr.plot.width<span class="hljs-operator">=</span><span class="hljs-number">6</span><span class="hljs-punctuation">,</span> repr.plot.height<span class="hljs-operator">=</span><span class="hljs-number">6</span><span class="hljs-punctuation">)</span><br>plot<span class="hljs-punctuation">(</span>gfit<span class="hljs-punctuation">,</span><br>　　print.auc<span class="hljs-operator">=</span><span class="hljs-literal">TRUE</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#输出AUC值</span><br>　　print.thres<span class="hljs-operator">=</span><span class="hljs-literal">TRUE</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#输出cut-off值</span><br>　　main <span class="hljs-operator">=</span> <span class="hljs-string">&quot;ROC CURVE&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#设置图形的标题</span><br>　　col<span class="hljs-operator">=</span> <span class="hljs-string">&quot;red&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#曲线颜色</span><br>　　print.thres.col<span class="hljs-operator">=</span><span class="hljs-string">&quot;black&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#cut-off值字体的颜色</span><br>　　identity.col<span class="hljs-operator">=</span><span class="hljs-string">&quot;blue&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#对角线颜色</span><br>　　identity.lty<span class="hljs-operator">=</span><span class="hljs-number">1</span><span class="hljs-punctuation">,</span>identity.lwd<span class="hljs-operator">=</span><span class="hljs-number">1</span><span class="hljs-punctuation">)</span><br></code></pre></td></tr></table></figure>

<ul>
<li>AUC值为 0.656</li>
<li>0.5~0.7 模型的效果较低</li>
<li>0.7~0.85 效果一般</li>
<li>0.85~0.95 效果很好</li>
<li>最佳截断值cut 2.898</li>
<li>当以2.898进行分组时，两组之间具有最佳的区分度</li>
</ul>
<p><img src="https://img-cdn.limour.top/2022/07/17/62d373489eed0.png" srcset="https://jscdn.limour.top/gh/Limour-dev/Sakurairo_Vision/load_svg/inload.svg" lazyload></p>
<h2 id="Logistic回归的DCA曲线"><a href="#Logistic回归的DCA曲线" class="headerlink" title="Logistic回归的DCA曲线"></a>Logistic回归的<strong>DCA曲线</strong></h2><figure class="highlight r"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br></pre></td><td class="code"><pre><code class="hljs R">library<span class="hljs-punctuation">(</span>rmda<span class="hljs-punctuation">)</span> <span class="hljs-comment">#绘制DCA曲线</span><br>modul<span class="hljs-operator">&lt;-</span> decision_curve<span class="hljs-punctuation">(</span>data<span class="hljs-operator">=</span> df<span class="hljs-punctuation">,</span><br>　　formula<span class="hljs-punctuation">(</span>lrmf<span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span><br>　　family <span class="hljs-operator">=</span> binomial<span class="hljs-punctuation">(</span>link <span class="hljs-operator">=</span><span class="hljs-string">&#x27;logit&#x27;</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span><br>　　thresholds<span class="hljs-operator">=</span> seq<span class="hljs-punctuation">(</span><span class="hljs-number">0</span><span class="hljs-punctuation">,</span><span class="hljs-number">1</span><span class="hljs-punctuation">,</span> by <span class="hljs-operator">=</span> <span class="hljs-number">0.01</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span><br>　　confidence.intervals <span class="hljs-operator">=</span> <span class="hljs-number">0.95</span><span class="hljs-punctuation">)</span><br>plot_decision_curve<span class="hljs-punctuation">(</span>modul<span class="hljs-punctuation">,</span><br>　　curve.names<span class="hljs-operator">=</span><span class="hljs-string">&quot;Nonadherence prediction nomogram&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#曲线名称</span><br>　　xlab<span class="hljs-operator">=</span><span class="hljs-string">&quot;Threshold probability&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#x轴名称</span><br>　　cost.benefit.axis <span class="hljs-operator">=</span><span class="hljs-literal">FALSE</span><span class="hljs-punctuation">,</span> col<span class="hljs-operator">=</span> <span class="hljs-string">&quot;blue&quot;</span><span class="hljs-punctuation">,</span><br>　　confidence.intervals<span class="hljs-operator">=</span><span class="hljs-literal">FALSE</span><span class="hljs-punctuation">,</span><br>　　standardize <span class="hljs-operator">=</span> <span class="hljs-literal">FALSE</span><span class="hljs-punctuation">)</span><br></code></pre></td></tr></table></figure>

<h2 id="COX回归的DCA曲线"><a href="#COX回归的DCA曲线" class="headerlink" title="COX回归的DCA曲线"></a>COX回归的<strong>DCA曲线</strong></h2><figure class="highlight r"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br></pre></td><td class="code"><pre><code class="hljs R">library<span class="hljs-punctuation">(</span>car<span class="hljs-punctuation">)</span><br>library<span class="hljs-punctuation">(</span>rms<span class="hljs-punctuation">)</span><br>library<span class="hljs-punctuation">(</span>pROC<span class="hljs-punctuation">)</span><br>library<span class="hljs-punctuation">(</span>timeROC<span class="hljs-punctuation">)</span><br>library<span class="hljs-punctuation">(</span>ggDCA<span class="hljs-punctuation">)</span><br>df <span class="hljs-operator">&lt;-</span> readRDS<span class="hljs-punctuation">(</span><span class="hljs-string">&#x27;Cox_df.rds&#x27;</span><span class="hljs-punctuation">)</span><br>df<span class="hljs-punctuation">[</span><span class="hljs-punctuation">,</span><span class="hljs-string">&#x27;dcf_status&#x27;</span><span class="hljs-punctuation">]</span> <span class="hljs-operator">=</span> ifelse<span class="hljs-punctuation">(</span>df<span class="hljs-punctuation">[</span><span class="hljs-punctuation">,</span><span class="hljs-string">&#x27;dcf_status&#x27;</span><span class="hljs-punctuation">]</span><span class="hljs-operator">==</span><span class="hljs-number">0</span><span class="hljs-punctuation">,</span><span class="hljs-number">1</span><span class="hljs-punctuation">,</span><span class="hljs-number">2</span><span class="hljs-punctuation">)</span><br>dd<span class="hljs-operator">=</span>datadist<span class="hljs-punctuation">(</span>df<span class="hljs-punctuation">)</span><br>options<span class="hljs-punctuation">(</span>datadist<span class="hljs-operator">=</span><span class="hljs-string">&quot;dd&quot;</span><span class="hljs-punctuation">)</span> <br>coxmf <span class="hljs-operator">&lt;-</span> paste0<span class="hljs-punctuation">(</span><span class="hljs-string">&quot;Surv(dcf_time, dcf_status)~&quot;</span><span class="hljs-punctuation">,</span> paste<span class="hljs-punctuation">(</span>colnames<span class="hljs-punctuation">(</span>df<span class="hljs-punctuation">)</span><span class="hljs-punctuation">[</span><span class="hljs-number">1</span><span class="hljs-operator">:</span><span class="hljs-number">10</span><span class="hljs-punctuation">]</span><span class="hljs-punctuation">,</span> collapse <span class="hljs-operator">=</span> <span class="hljs-string">&#x27;+&#x27;</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">)</span><br>coxmf<br>f_cph_2 <span class="hljs-operator">&lt;-</span> cph<span class="hljs-punctuation">(</span>formula<span class="hljs-punctuation">(</span>coxmf<span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span><br>               x<span class="hljs-operator">=</span><span class="hljs-built_in">T</span><span class="hljs-punctuation">,</span> y<span class="hljs-operator">=</span><span class="hljs-built_in">T</span><span class="hljs-punctuation">,</span> surv<span class="hljs-operator">=</span><span class="hljs-built_in">T</span><span class="hljs-punctuation">,</span><br>               data<span class="hljs-operator">=</span>df<span class="hljs-punctuation">)</span><br>dca_training <span class="hljs-operator">&lt;-</span> dca<span class="hljs-punctuation">(</span>f_cph_2<span class="hljs-punctuation">,</span> times<span class="hljs-operator">=</span><span class="hljs-built_in">c</span><span class="hljs-punctuation">(</span><span class="hljs-number">5</span><span class="hljs-operator">*</span><span class="hljs-number">365</span><span class="hljs-punctuation">,</span> <span class="hljs-number">10</span><span class="hljs-operator">*</span><span class="hljs-number">365</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">)</span> <span class="hljs-comment">#五年、十年</span><br>ggplot<span class="hljs-punctuation">(</span>dca_training<span class="hljs-punctuation">)</span><br></code></pre></td></tr></table></figure>

<h2 id="Logistic回归的NRI指数"><a href="#Logistic回归的NRI指数" class="headerlink" title="Logistic回归的NRI指数"></a>Logistic回归的<strong>NRI指数</strong></h2><figure class="highlight r"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br></pre></td><td class="code"><pre><code class="hljs R">lrmf_a <span class="hljs-operator">&lt;-</span> paste0<span class="hljs-punctuation">(</span><span class="hljs-string">&quot;factor(dcf_status)~&quot;</span><span class="hljs-punctuation">,</span> paste<span class="hljs-punctuation">(</span>colnames<span class="hljs-punctuation">(</span>df<span class="hljs-punctuation">)</span><span class="hljs-punctuation">[</span><span class="hljs-number">1</span><span class="hljs-operator">:</span><span class="hljs-number">9</span><span class="hljs-punctuation">]</span><span class="hljs-punctuation">,</span> collapse <span class="hljs-operator">=</span> <span class="hljs-string">&#x27;+&#x27;</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">)</span><br>lrmf_b <span class="hljs-operator">&lt;-</span> paste0<span class="hljs-punctuation">(</span><span class="hljs-string">&quot;factor(dcf_status)~&quot;</span><span class="hljs-punctuation">,</span> paste<span class="hljs-punctuation">(</span>colnames<span class="hljs-punctuation">(</span>df<span class="hljs-punctuation">)</span><span class="hljs-punctuation">[</span><span class="hljs-number">1</span><span class="hljs-operator">:</span><span class="hljs-number">10</span><span class="hljs-punctuation">]</span><span class="hljs-punctuation">,</span> collapse <span class="hljs-operator">=</span> <span class="hljs-string">&#x27;+&#x27;</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">)</span><br>fit_A <span class="hljs-operator">&lt;-</span> glm<span class="hljs-punctuation">(</span>formula<span class="hljs-punctuation">(</span>lrmf_a<span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span> data <span class="hljs-operator">=</span> df<span class="hljs-punctuation">,</span> family <span class="hljs-operator">=</span> binomial<span class="hljs-punctuation">(</span>link<span class="hljs-operator">=</span><span class="hljs-string">&quot;logit&quot;</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span> x<span class="hljs-operator">=</span><span class="hljs-literal">TRUE</span><span class="hljs-punctuation">)</span><br>fit_B <span class="hljs-operator">&lt;-</span> glm<span class="hljs-punctuation">(</span>formula<span class="hljs-punctuation">(</span>lrmf_b<span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span> data <span class="hljs-operator">=</span> df<span class="hljs-punctuation">,</span> family <span class="hljs-operator">=</span> binomial<span class="hljs-punctuation">(</span>link<span class="hljs-operator">=</span><span class="hljs-string">&quot;logit&quot;</span><span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span> x<span class="hljs-operator">=</span><span class="hljs-literal">TRUE</span><span class="hljs-punctuation">)</span><br>gfit <span class="hljs-operator">&lt;-</span> roc<span class="hljs-punctuation">(</span>factor<span class="hljs-punctuation">(</span>dcf_status<span class="hljs-punctuation">)</span><span class="hljs-operator">~</span>predict<span class="hljs-punctuation">(</span>fit_A<span class="hljs-punctuation">)</span><span class="hljs-punctuation">,</span> data <span class="hljs-operator">=</span> df<span class="hljs-punctuation">)</span><br>options<span class="hljs-punctuation">(</span>repr.plot.width<span class="hljs-operator">=</span><span class="hljs-number">10</span><span class="hljs-punctuation">,</span> repr.plot.height<span class="hljs-operator">=</span><span class="hljs-number">10</span><span class="hljs-punctuation">)</span><br>plot<span class="hljs-punctuation">(</span>gfit<span class="hljs-punctuation">,</span><br>　　print.auc<span class="hljs-operator">=</span><span class="hljs-literal">TRUE</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#输出AUC值</span><br>　　print.thres<span class="hljs-operator">=</span><span class="hljs-literal">TRUE</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#输出cut-off值</span><br>　　main <span class="hljs-operator">=</span> <span class="hljs-string">&quot;ROC CURVE&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#设置图形的标题</span><br>　　col<span class="hljs-operator">=</span> <span class="hljs-string">&quot;red&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#曲线颜色</span><br>　　print.thres.col<span class="hljs-operator">=</span><span class="hljs-string">&quot;black&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#cut-off值字体的颜色</span><br>　　identity.col<span class="hljs-operator">=</span><span class="hljs-string">&quot;blue&quot;</span><span class="hljs-punctuation">,</span> <span class="hljs-comment">#对角线颜色</span><br>　　identity.lty<span class="hljs-operator">=</span><span class="hljs-number">1</span><span class="hljs-punctuation">,</span>identity.lwd<span class="hljs-operator">=</span><span class="hljs-number">1</span><span class="hljs-punctuation">)</span><br>NRI <span class="hljs-operator">&lt;-</span> nribin<span class="hljs-punctuation">(</span>mdl.std <span class="hljs-operator">=</span> fit_A<span class="hljs-punctuation">,</span> mdl.new <span class="hljs-operator">=</span> fit_B<span class="hljs-punctuation">,</span><br>　　updown <span class="hljs-operator">=</span> <span class="hljs-string">&#x27;diff&#x27;</span><span class="hljs-punctuation">,</span><br>　　cut <span class="hljs-operator">=</span> <span class="hljs-number">0.05</span><span class="hljs-punctuation">,</span> niter <span class="hljs-operator">=</span> <span class="hljs-number">500</span><span class="hljs-punctuation">,</span> alpha <span class="hljs-operator">=</span> <span class="hljs-number">0.05</span><span class="hljs-punctuation">)</span><br>NRI <span class="hljs-operator">&lt;-</span> nribin<span class="hljs-punctuation">(</span>mdl.std <span class="hljs-operator">=</span> fit_A<span class="hljs-punctuation">,</span> mdl.new <span class="hljs-operator">=</span> fit_B<span class="hljs-punctuation">,</span><br>　　updown <span class="hljs-operator">=</span> <span class="hljs-string">&#x27;category&#x27;</span><span class="hljs-punctuation">,</span><br>　　cut <span class="hljs-operator">=</span> <span class="hljs-number">1.791</span><span class="hljs-punctuation">,</span> niter <span class="hljs-operator">=</span> <span class="hljs-number">500</span><span class="hljs-punctuation">,</span> alpha <span class="hljs-operator">=</span> <span class="hljs-number">0.05</span><span class="hljs-punctuation">)</span><br></code></pre></td></tr></table></figure>

<p>根据之前模型的ROC分析确定的切点cut，之后的分析见<a target="_blank" rel="noopener" href="https://m.iikx.com/e/action/ShowInfo.php?classid=17&id=10597&page=3">爱科学</a></p>

                
              </div>
            
            <hr/>
            <div>
              <div class="post-metas my-3">
  
    <div class="post-meta mr-3 d-flex align-items-center">
      <i class="iconfont icon-category"></i>
      

<span class="category-chains">
  
  
      <span class="category-chain">
        
  <a href="/categories/%E7%BB%9F%E8%AE%A1%E5%AD%A6/" class="category-chain-item">统计学</a>
  
  
      </span>
    
  
</span>

    </div>
  
  
</div>


  <div class="license-box my-3">
    <div class="license-title">
      <div>评价临床预测模型</div>
      <div>https://occdn.limour.top/2112.html</div>
    </div>
    <div class="license-meta">
      
        <div class="license-meta-item">
          <div>Author</div>
          <div>Limour</div>
        </div>
      
      
        <div class="license-meta-item license-meta-date">
          <div>Posted on</div>
          <div>July 17, 2022</div>
        </div>
      
      
        <div class="license-meta-item">
          <div>Licensed under</div>
          <div>
            
              
                <a class="print-no-link" target="_blank" href="https://creativecommons.org/licenses/by-nc-sa/4.0/">
                  <span class="hint--top hint--rounded" aria-label="BY - Attribution">
                    <i class="iconfont icon-by"></i>
                  </span>
                </a>
              
                <a class="print-no-link" target="_blank" href="https://creativecommons.org/licenses/by-nc-sa/4.0/">
                  <span class="hint--top hint--rounded" aria-label="NC - Non-commercial">
                    <i class="iconfont icon-nc"></i>
                  </span>
                </a>
              
                <a class="print-no-link" target="_blank" href="https://creativecommons.org/licenses/by-nc-sa/4.0/">
                  <span class="hint--top hint--rounded" aria-label="SA - Share-alike">
                    <i class="iconfont icon-sa"></i>
                  </span>
                </a>
              
            
          </div>
        </div>
      
    </div>
    <div class="license-icon iconfont"></div>
  </div>


                <div class="post-prevnext my-3">
                  <article class="post-prev col-6">
                    
                    
                      <a href="/2114.html" title="Docker：部署青龙面板">
                        <i class="iconfont icon-arrowleft"></i>
                        <span class="hidden-mobile">Docker：部署青龙面板</span>
                        <span class="visible-mobile">Previous</span>
                      </a>
                    
                  </article>
                  <article class="post-next col-6">
                    
                    
                      <a href="/2110.html" title="诺莫图（Nomogram）展示回归分析的结果">
                        <span class="hidden-mobile">诺莫图（Nomogram）展示回归分析的结果</span>
                        <span class="visible-mobile">Next</span>
                        <i class="iconfont icon-arrowright"></i>
                      </a>
                    
                  </article>
                </div>
              
            </div>

            
          </article>
        </div>
      </div>
    </div>

    <div class="side-col d-none d-lg-block col-lg-2">
      
  <aside class="sidebar" style="margin-left: -1rem">
    <div id="toc">
  <p class="toc-header">
    <i class="iconfont icon-list"></i>
    <span>Table of Contents</span>
  </p>
  <div class="toc-body" id="toc-body"></div>
</div>


  </aside>


    </div>
  </div>
</div>


      <a id="scroll-top-button" aria-label="TOP" href="#" role="button">
        <i class="iconfont icon-arrowup" aria-hidden="true"></i>
      </a>
    

      <div class="modal fade" id="modalSearch" tabindex="-1" role="dialog" aria-labelledby="ModalLabel"
     aria-hidden="true">
  <div class="modal-dialog modal-dialog-scrollable modal-lg" role="document">
    <div class="modal-content">
      <div class="modal-header text-center">
        <h4 class="modal-title w-100 font-weight-bold">Search</h4>
        <button type="button" id="local-search-close" class="close" data-dismiss="modal" aria-label="Close">
          <span aria-hidden="true">&times;</span>
        </button>
      </div>
      <div class="modal-body mx-3">
        <div class="md-form mb-5">
          <input type="text" id="local-search-input" class="form-control validate">
          <label data-error="x" data-success="v" for="local-search-input">Keyword</label>
        </div>
        <div class="list-group" id="local-search-result"></div>
      </div>
    </div>
  </div>
</div>

    
  </main>

  <footer>
    <div class="footer-inner">
  
    <div class="footer-content">
       <a target="_blank" rel="nofollow noopener" href="http://www.beian.gov.cn/portal/registerSystemInfo?recordcode=43130202000203"><img src="https://img.limour.top/2023/08/27/64eadeb81d6a0.webp" srcset="https://jscdn.limour.top/gh/Limour-dev/Sakurairo_Vision/load_svg/inload.svg" lazyload>湘公网安备 43130202000203号  </a> <a target="_blank" rel="nofollow noopener" href="https://beian.miit.gov.cn/">湘ICP备20008299号 </a> <a target="_blank" rel="nofollow noopener" href="https://icp.gov.moe/?keyword=20210128">萌ICP备20210128号</a> <br> <a href="https://www.foreverblog.cn/" target="_blank"> <img src="https://img.foreverblog.cn/logo_en_default.png" srcset="https://jscdn.limour.top/gh/Limour-dev/Sakurairo_Vision/load_svg/inload.svg" lazyload alt="" style="width:auto;height:24px"> </a> <br> <a href="https://hexo.io" target="_blank" rel="nofollow noopener"><span>Hexo</span></a> <i class="iconfont icon-love"></i> <a href="https://github.com/fluid-dev/hexo-theme-fluid" target="_blank" rel="nofollow noopener"><span>Fluid</span></a> <i class="iconfont icon-love"></i> <a href="https://github.com/limour-blog/archives-occdn" target="_blank" rel="nofollow noopener"><span>SRC</span></a> 
    </div>
  
  
</div>

  </footer>

  <!-- Scripts -->
  
  <script  src="https://jscdn.limour.top/npm/nprogress@0.2.0/nprogress.min.js" ></script>
  <link  rel="stylesheet" href="https://jscdn.limour.top/npm/nprogress@0.2.0/nprogress.min.css" />

  <script>
    NProgress.configure({"showSpinner":false,"trickleSpeed":100})
    NProgress.start()
    window.addEventListener('load', function() {
      NProgress.done();
    })
  </script>


<script  src="https://jscdn.limour.top/npm/jquery@3.6.4/dist/jquery.min.js" ></script>
<script  src="https://jscdn.limour.top/npm/bootstrap@4.6.1/dist/js/bootstrap.min.js" ></script>
<script  src="/js/events.js" ></script>
<script  src="/js/plugins.js" ></script>


  <script  src="https://lib.baomitu.com/typed.js/2.0.12/typed.min.js" ></script>
  <script>
    (function (window, document) {
      var typing = Fluid.plugins.typing;
      var subtitle = document.getElementById('subtitle');
      if (!subtitle || !typing) {
        return;
      }
      var text = subtitle.getAttribute('data-typed-text');
      
        typing(text);
      
    })(window, document);
  </script>


    <script  src="/js/img-lazyload.js" ></script>
  

<script>
  Fluid.utils.createScript('https://jscdn.limour.top/npm/tocbot@4.20.1/dist/tocbot.min.js', function() {
    var toc = jQuery('#toc');
    if (toc.length === 0 || !window.tocbot) { return; }
    var boardCtn = jQuery('#board-ctn');
    var boardTop = boardCtn.offset().top;

    window.tocbot.init(Object.assign({
      tocSelector     : '#toc-body',
      contentSelector : '.markdown-body',
      linkClass       : 'tocbot-link',
      activeLinkClass : 'tocbot-active-link',
      listClass       : 'tocbot-list',
      isCollapsedClass: 'tocbot-is-collapsed',
      collapsibleClass: 'tocbot-is-collapsible',
      scrollSmooth    : true,
      includeTitleTags: true,
      headingsOffset  : -boardTop,
    }, CONFIG.toc));
    if (toc.find('.toc-list-item').length > 0) {
      toc.css('visibility', 'visible');
    }

    Fluid.events.registerRefreshCallback(function() {
      if ('tocbot' in window) {
        tocbot.refresh();
        var toc = jQuery('#toc');
        if (toc.length === 0 || !tocbot) {
          return;
        }
        if (toc.find('.toc-list-item').length > 0) {
          toc.css('visibility', 'visible');
        }
      }
    });
  });
</script>


  <script src=https://lib.baomitu.com/clipboard.js/2.0.11/clipboard.min.js></script>

  <script>Fluid.plugins.codeWidget();</script>


<script>
  Fluid.utils.createScript('https://jscdn.limour.top/npm/anchor-js@4.3.1/anchor.min.js', function() {
    window.anchors.options = {
      placement: CONFIG.anchorjs.placement,
      visible  : CONFIG.anchorjs.visible
    };
    if (CONFIG.anchorjs.icon) {
      window.anchors.options.icon = CONFIG.anchorjs.icon;
    }
    var el = (CONFIG.anchorjs.element || 'h1,h2,h3,h4,h5,h6').split(',');
    var res = [];
    for (var item of el) {
      res.push('.markdown-body > ' + item.trim());
    }
    if (CONFIG.anchorjs.placement === 'left') {
      window.anchors.options.class = 'anchorjs-link-left';
    }
    window.anchors.add(res.join(', '));

    Fluid.events.registerRefreshCallback(function() {
      if ('anchors' in window) {
        anchors.removeAll();
        var el = (CONFIG.anchorjs.element || 'h1,h2,h3,h4,h5,h6').split(',');
        var res = [];
        for (var item of el) {
          res.push('.markdown-body > ' + item.trim());
        }
        if (CONFIG.anchorjs.placement === 'left') {
          anchors.options.class = 'anchorjs-link-left';
        }
        anchors.add(res.join(', '));
      }
    });
  });
</script>


<script>
  Fluid.utils.createScript('https://lib.baomitu.com/fancybox/3.5.7/jquery.fancybox.min.js', function() {
    Fluid.plugins.fancyBox();
  });
</script>


  <script>Fluid.plugins.imageCaption();</script>

  <script  src="/js/local-search.js" ></script>


<!-- 主题的启动项，将它保持在最底部 -->
<!-- the boot of the theme, keep it at the bottom -->
<script  src="/js/boot.js" ></script>


  <noscript>
    <div class="noscript-warning">Blog works best with JavaScript enabled</div>
  </noscript>
<!-- hexo injector body_end start -->
  <script defer src="/theme-inject/timeliness.js"></script>
<!-- hexo injector body_end end --></body>
</html>