shi-yong-Bootstrap-fa-ji-suan-zi-ju-zhi-xin-qu-jian.html 45 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529530531532533534535536537538539540541542543544545546547548549550551552553554555556557558559560561562563564565566567568569570571572573574575576577578579580581582583584585586587588589590591592593594595596597598599600601602603604605606607608609610611612613614615616617618619620621622623624625626627628629630631632633634635636637638639640641642643644645646647648649650651652653654655656657658659660661662663664665666667668669670671672673674675676677678679680681682683684685686687688689690691692693694695696697698699700701702703704705706707708709710711712713714715716717718719720721722723724725726727728729730731732733734735736737738739740741742743744745746747748749750751752
  1. <!DOCTYPE html>
  2. <html lang="en" data-default-color-scheme=auto>
  3. <head><!-- hexo injector head_begin start -->
  4. <script defer src="https://api.limour.top/vue/0d2f95c1-755d-436b-adf8-eee12a80ed32/script.js"></script>
  5. <!-- hexo injector head_begin end -->
  6. <meta charset="UTF-8">
  7. <link rel="apple-touch-icon" sizes="76x76" href="https://img.limour.top/2023/08/29/64ee07361815a.webp">
  8. <link rel="icon" href="https://img.limour.top/2023/08/29/64ee07361815a.webp">
  9. <meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=5.0, shrink-to-fit=no">
  10. <meta http-equiv="x-ua-compatible" content="ie=edge">
  11. <meta name="theme-color" content="#2f4154">
  12. <meta name="author" content="Limour">
  13. <meta name="keywords" content="">
  14. <meta name="description" content="计算药物LD50用Bliss法最严谨,而改良寇氏法计算的结果误差也不大,因此做了一次改良寇氏法计算LD50的实验。最后需要计算一下结果的可信区间,于是来试试万能的Bootstrap法 安装包(这个例子用不上) conda activate MICE conda install -c conda-forge r-boot=1.3_28 -y 构造样本 组别 剂量 mg/kg 动物数 死亡数">
  15. <title>【迁移】使用Bootstrap法计算自举置信区间 - Limour&#39;s Blog</title>
  16. <link rel="stylesheet" href="https://jscdn.limour.top/npm/bootstrap@4.6.1/dist/css/bootstrap.min.css" />
  17. <link rel="stylesheet" href="https://jscdn.limour.top/npm/github-markdown-css@4.0.0/github-markdown.min.css" />
  18. <link rel="stylesheet" href="https://jscdn.limour.top/npm/hint.css@2.7.0/hint.min.css" />
  19. <!-- 主题依赖的图标库,不要自行修改 -->
  20. <!-- Do not modify the link that theme dependent icons -->
  21. <link rel="stylesheet" href="//at.alicdn.com/t/font_1749284_hj8rtnfg7um.css">
  22. <link rel="stylesheet" href="//at.alicdn.com/t/font_1736178_lbnruvf0jn.css">
  23. <link rel="stylesheet" href="/css/main.css" />
  24. <link id="highlight-css" rel="stylesheet" href="/css/highlight.css" />
  25. <link id="highlight-css-dark" rel="stylesheet" href="/css/highlight-dark.css" />
  26. <link rel="stylesheet" href="/theme-inject/custom.css">
  27. <link rel="stylesheet" href="/theme-inject/iconfont.css">
  28. <script id="fluid-configs">
  29. var Fluid = window.Fluid || {};
  30. Fluid.ctx = Object.assign({}, Fluid.ctx)
  31. var CONFIG = {"hostname":"hexo.limour.top","root":"/","version":"1.9.7","typing":{"enable":false,"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":false,"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};
  32. if (CONFIG.web_analytics.follow_dnt) {
  33. var dntVal = navigator.doNotTrack || window.doNotTrack || navigator.msDoNotTrack;
  34. Fluid.ctx.dnt = dntVal && (dntVal.startsWith('1') || dntVal.startsWith('yes') || dntVal.startsWith('on'));
  35. }
  36. </script>
  37. <script src="/js/utils.js" ></script>
  38. <script src="/js/color-schema.js" ></script>
  39. <link rel="canonical" href="https://hexo.limour.top/shi-yong-Bootstrap-fa-ji-suan-zi-ju-zhi-xin-qu-jian"/>
  40. <meta name="generator" content="Hexo 7.1.1"><link rel="alternate" href="/atom.xml" title="Limour's Blog" type="application/atom+xml">
  41. <link rel="alternate" href="/rss2.xml" title="Limour's Blog" type="application/rss+xml">
  42. </head>
  43. <body>
  44. <header>
  45. <div class="header-inner" style="height: 70vh;">
  46. <nav id="navbar" class="navbar fixed-top navbar-expand-lg navbar-dark scrolling-navbar">
  47. <div class="container">
  48. <a class="navbar-brand" href="/">
  49. <strong>Limour&#39;s Blog</strong>
  50. </a>
  51. <button id="navbar-toggler-btn" class="navbar-toggler" type="button" data-toggle="collapse"
  52. data-target="#navbarSupportedContent"
  53. aria-controls="navbarSupportedContent" aria-expanded="false" aria-label="Toggle navigation">
  54. <div class="animated-icon"><span></span><span></span><span></span></div>
  55. </button>
  56. <!-- Collapsible content -->
  57. <div class="collapse navbar-collapse" id="navbarSupportedContent">
  58. <ul class="navbar-nav ml-auto text-center">
  59. <li class="nav-item">
  60. <a class="nav-link" href="https://hexo.limour.top/" target="_self">
  61. <i class="iconfont icon-home-fill"></i>
  62. <span>Home</span>
  63. </a>
  64. </li>
  65. <li class="nav-item">
  66. <a class="nav-link" href="/archives/" target="_self">
  67. <i class="iconfont icon-archive-fill"></i>
  68. <span>Archive1</span>
  69. </a>
  70. </li>
  71. <li class="nav-item">
  72. <a class="nav-link" href="https://occdn.limour.top/archives/" target="_self">
  73. <i class="iconfont icon-archive-fill"></i>
  74. <span>Archive2</span>
  75. </a>
  76. </li>
  77. <li class="nav-item">
  78. <a class="nav-link" href="https://b.limour.top/archives/" target="_self">
  79. <i class="iconfont icon-archive-fill"></i>
  80. <span>Archive3</span>
  81. </a>
  82. </li>
  83. <li class="nav-item">
  84. <a class="nav-link" href="https://od.limour.top/" target="_self">
  85. <i class="iconfont icon-onedrive"></i>
  86. <span>Alist</span>
  87. </a>
  88. </li>
  89. <li class="nav-item">
  90. <a class="nav-link" href="https://orcid.org/0000-0001-8897-1685" target="_self">
  91. <i class="iconfont icon-orcid"></i>
  92. <span>Orcid</span>
  93. </a>
  94. </li>
  95. <li class="nav-item">
  96. <a class="nav-link" href="/links/" target="_self">
  97. <i class="iconfont icon-link-fill"></i>
  98. <span>Links</span>
  99. </a>
  100. </li>
  101. <li class="nav-item">
  102. <a class="nav-link" href="/atom.xml" target="_self">
  103. <i class="iconfont icon-rss"></i>
  104. <span>RSS</span>
  105. </a>
  106. </li>
  107. <li class="nav-item" id="search-btn">
  108. <a class="nav-link" target="_self" href="javascript:;" data-toggle="modal" data-target="#modalSearch" aria-label="Search">
  109. <i class="iconfont icon-search"></i>
  110. </a>
  111. </li>
  112. <li class="nav-item" id="color-toggle-btn">
  113. <a class="nav-link" target="_self" href="javascript:;" aria-label="Color Toggle">
  114. <i class="iconfont icon-dark" id="color-toggle-icon"></i>
  115. </a>
  116. </li>
  117. </ul>
  118. </div>
  119. </div>
  120. </nav>
  121. <div id="banner" class="banner" parallax=true
  122. style="background: url('https://img.limour.top/2023/08/29/64ee08e108638.webp') no-repeat center center; background-size: cover;">
  123. <div class="full-bg-img">
  124. <div class="mask flex-center" style="background-color: rgba(0, 0, 0, 0.3)">
  125. <div class="banner-text text-center fade-in-up">
  126. <div class="h2">
  127. <span id="subtitle">【迁移】使用Bootstrap法计算自举置信区间</span>
  128. </div>
  129. <div class="mt-3">
  130. <span class="post-meta mr-2">
  131. <i class="iconfont icon-author" aria-hidden="true"></i>
  132. Limour
  133. </span>
  134. <span class="post-meta">
  135. <i class="iconfont icon-date-fill" aria-hidden="true"></i>
  136. <time datetime="2022-09-27 19:25" pubdate>
  137. September 27, 2022 pm
  138. </time>
  139. </span>
  140. </div>
  141. <div class="mt-1">
  142. <span class="post-meta mr-2">
  143. <i class="iconfont icon-chart"></i>
  144. 496 words
  145. </span>
  146. <span class="post-meta mr-2">
  147. <i class="iconfont icon-clock-fill"></i>
  148. 5 mins
  149. </span>
  150. </div>
  151. </div>
  152. </div>
  153. </div>
  154. </div>
  155. </div>
  156. </header>
  157. <main>
  158. <div class="container-fluid nopadding-x">
  159. <div class="row nomargin-x">
  160. <div class="side-col d-none d-lg-block col-lg-2">
  161. </div>
  162. <div class="col-lg-8 nopadding-x-md">
  163. <div class="container nopadding-x-md" id="board-ctn">
  164. <div id="board">
  165. <article class="post-content mx-auto">
  166. <h1 id="seo-header">【迁移】使用Bootstrap法计算自举置信区间</h1>
  167. <p id="updated-time" class="note note-info" style="">
  168. Last updated on March 19, 2024 pm
  169. </p>
  170. <div class="markdown-body">
  171. <p>计算药物LD50用Bliss法最严谨,而改良寇氏法计算的结果误差也不大,因此做了一次改良寇氏法计算LD50的实验。最后需要计算一下结果的可信区间,于是来试试万能的Bootstrap法</p>
  172. <h2 id="安装包(这个例子用不上)">安装包(这个例子用不上)</h2>
  173. <ul>
  174. <li><a href="/shi-yong-MICE-bao-dui-shu-ju-que-shi-zhi-jin-hang-cha-bu">conda activate MICE</a></li>
  175. <li>conda install -c conda-forge r-boot=1.3_28 -y</li>
  176. </ul>
  177. <h2 id="构造样本">构造样本</h2>
  178. <table>
  179. <thead>
  180. <tr>
  181. <th>组别</th>
  182. <th>剂量 mg/kg</th>
  183. <th>动物数</th>
  184. <th>死亡数</th>
  185. </tr>
  186. </thead>
  187. <tbody>
  188. <tr>
  189. <td>1</td>
  190. <td>110.8</td>
  191. <td>10</td>
  192. <td>0</td>
  193. </tr>
  194. <tr>
  195. <td>2</td>
  196. <td>147.7</td>
  197. <td>10</td>
  198. <td>0</td>
  199. </tr>
  200. <tr>
  201. <td>3</td>
  202. <td>196.9</td>
  203. <td>10</td>
  204. <td>5</td>
  205. </tr>
  206. <tr>
  207. <td>4</td>
  208. <td>262.5</td>
  209. <td>10</td>
  210. <td>8</td>
  211. </tr>
  212. <tr>
  213. <td>5</td>
  214. <td>350.0</td>
  215. <td>10</td>
  216. <td>10</td>
  217. </tr>
  218. </tbody>
  219. </table>
  220. <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></pre></td><td class="code"><pre><span class="line">data <span class="operator">&lt;-</span> <span class="built_in">list</span><span class="punctuation">(</span></span><br><span class="line"> g1 <span class="operator">=</span> <span class="built_in">rep</span><span class="punctuation">(</span><span class="number">0</span><span class="punctuation">,</span><span class="number">10</span><span class="punctuation">)</span><span class="punctuation">,</span></span><br><span class="line"> g2 <span class="operator">=</span> <span class="built_in">rep</span><span class="punctuation">(</span><span class="number">0</span><span class="punctuation">,</span><span class="number">10</span><span class="punctuation">)</span><span class="punctuation">,</span></span><br><span class="line"> g3 <span class="operator">=</span> <span class="built_in">c</span><span class="punctuation">(</span><span class="built_in">rep</span><span class="punctuation">(</span><span class="number">0</span><span class="punctuation">,</span><span class="number">5</span><span class="punctuation">)</span><span class="punctuation">,</span><span class="built_in">rep</span><span class="punctuation">(</span><span class="number">1</span><span class="punctuation">,</span><span class="number">5</span><span class="punctuation">)</span><span class="punctuation">)</span><span class="punctuation">,</span></span><br><span class="line"> g4 <span class="operator">=</span> <span class="built_in">c</span><span class="punctuation">(</span><span class="built_in">rep</span><span class="punctuation">(</span><span class="number">0</span><span class="punctuation">,</span><span class="number">2</span><span class="punctuation">)</span><span class="punctuation">,</span><span class="built_in">rep</span><span class="punctuation">(</span><span class="number">1</span><span class="punctuation">,</span><span class="number">8</span><span class="punctuation">)</span><span class="punctuation">)</span><span class="punctuation">,</span></span><br><span class="line"> g5 <span class="operator">=</span> <span class="built_in">rep</span><span class="punctuation">(</span><span class="number">1</span><span class="punctuation">,</span><span class="number">10</span><span class="punctuation">)</span></span><br><span class="line"><span class="punctuation">)</span></span><br></pre></td></tr></table></figure>
  221. <h2 id="计算自举置信区间">计算自举置信区间</h2>
  222. <h3 id="定义统计量">定义统计量</h3>
  223. <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><span class="line">ln <span class="operator">&lt;-</span> <span class="built_in">log</span></span><br><span class="line">ld50 <span class="operator">&lt;-</span> <span class="keyword">function</span><span class="punctuation">(</span>data<span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> g1 <span class="operator">&lt;-</span> mean<span class="punctuation">(</span>sample<span class="punctuation">(</span>x <span class="operator">=</span> data<span class="operator">$</span>g1<span class="punctuation">,</span> size <span class="operator">=</span> <span class="number">10</span><span class="punctuation">,</span> replace <span class="operator">=</span> <span class="built_in">T</span><span class="punctuation">)</span><span class="punctuation">)</span></span><br><span class="line"> g2 <span class="operator">&lt;-</span> mean<span class="punctuation">(</span>sample<span class="punctuation">(</span>x <span class="operator">=</span> data<span class="operator">$</span>g2<span class="punctuation">,</span> size <span class="operator">=</span> <span class="number">10</span><span class="punctuation">,</span> replace <span class="operator">=</span> <span class="built_in">T</span><span class="punctuation">)</span><span class="punctuation">)</span></span><br><span class="line"> g3 <span class="operator">&lt;-</span> mean<span class="punctuation">(</span>sample<span class="punctuation">(</span>x <span class="operator">=</span> data<span class="operator">$</span>g3<span class="punctuation">,</span> size <span class="operator">=</span> <span class="number">10</span><span class="punctuation">,</span> replace <span class="operator">=</span> <span class="built_in">T</span><span class="punctuation">)</span><span class="punctuation">)</span></span><br><span class="line"> g4 <span class="operator">&lt;-</span> mean<span class="punctuation">(</span>sample<span class="punctuation">(</span>x <span class="operator">=</span> data<span class="operator">$</span>g4<span class="punctuation">,</span> size <span class="operator">=</span> <span class="number">10</span><span class="punctuation">,</span> replace <span class="operator">=</span> <span class="built_in">T</span><span class="punctuation">)</span><span class="punctuation">)</span></span><br><span class="line"> g5 <span class="operator">&lt;-</span> mean<span class="punctuation">(</span>sample<span class="punctuation">(</span>x <span class="operator">=</span> data<span class="operator">$</span>g5<span class="punctuation">,</span> size <span class="operator">=</span> <span class="number">10</span><span class="punctuation">,</span> replace <span class="operator">=</span> <span class="built_in">T</span><span class="punctuation">)</span><span class="punctuation">)</span></span><br><span class="line"> sigma_p <span class="operator">&lt;-</span> <span class="built_in">sum</span><span class="punctuation">(</span>g1<span class="punctuation">,</span> g2<span class="punctuation">,</span> g3<span class="punctuation">,</span> g4<span class="punctuation">,</span> g5<span class="punctuation">)</span></span><br><span class="line"> <span class="built_in">exp</span><span class="punctuation">(</span>ln<span class="punctuation">(</span><span class="number">350</span><span class="punctuation">)</span> <span class="operator">-</span> ln<span class="punctuation">(</span><span class="number">4</span><span class="operator">/</span><span class="number">3</span><span class="punctuation">)</span><span class="operator">*</span><span class="punctuation">(</span>sigma_p <span class="operator">-</span> <span class="number">0.5</span><span class="punctuation">)</span><span class="punctuation">)</span></span><br><span class="line"><span class="punctuation">&#125;</span></span><br></pre></td></tr></table></figure>
  224. <h3 id="计算-the-bootstrap-percentile-interval">计算 the bootstrap percentile interval</h3>
  225. <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></pre></td><td class="code"><pre><span class="line">set.seed<span class="punctuation">(</span><span class="number">123</span><span class="punctuation">)</span></span><br><span class="line">res <span class="operator">&lt;-</span> vector<span class="punctuation">(</span>mode <span class="operator">=</span> <span class="string">&quot;list&quot;</span><span class="punctuation">,</span> <span class="built_in">length</span> <span class="operator">=</span> <span class="number">1000</span><span class="punctuation">)</span></span><br><span class="line"><span class="keyword">for</span> <span class="punctuation">(</span>i <span class="keyword">in</span> <span class="number">1</span><span class="operator">:</span><span class="number">1000</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> res<span class="punctuation">[[</span>i<span class="punctuation">]</span><span class="punctuation">]</span> <span class="operator">&lt;-</span> ld50<span class="punctuation">(</span>data<span class="punctuation">)</span></span><br><span class="line"><span class="punctuation">&#125;</span></span><br><span class="line">res <span class="operator">&lt;-</span> sort<span class="punctuation">(</span>unlist<span class="punctuation">(</span>res<span class="punctuation">)</span><span class="punctuation">)</span></span><br><span class="line">hist<span class="punctuation">(</span>res<span class="punctuation">)</span></span><br><span class="line">quantile<span class="punctuation">(</span>res<span class="punctuation">,</span><span class="number">0.975</span><span class="punctuation">)</span></span><br><span class="line">quantile<span class="punctuation">(</span>res<span class="punctuation">,</span><span class="number">0.025</span><span class="punctuation">)</span></span><br></pre></td></tr></table></figure>
  226. <h3 id="计算P值">计算P值</h3>
  227. <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><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br><span class="line">39</span><br><span class="line">40</span><br><span class="line">41</span><br><span class="line">42</span><br><span class="line">43</span><br><span class="line">44</span><br><span class="line">45</span><br><span class="line">46</span><br><span class="line">47</span><br><span class="line">48</span><br><span class="line">49</span><br></pre></td><td class="code"><pre><span class="line">f_Rbisect <span class="operator">&lt;-</span> <span class="keyword">function</span><span class="punctuation">(</span>lst<span class="punctuation">,</span> value<span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> low<span class="operator">=</span><span class="number">1</span></span><br><span class="line"> high<span class="operator">=</span><span class="built_in">length</span><span class="punctuation">(</span>lst<span class="punctuation">)</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>high <span class="operator">==</span> low<span class="punctuation">)</span><span class="punctuation">&#123;</span><span class="built_in">return</span><span class="punctuation">(</span><span class="number">1</span><span class="punctuation">)</span><span class="punctuation">&#125;</span></span><br><span class="line"> mid<span class="operator">=</span><span class="built_in">length</span><span class="punctuation">(</span>lst<span class="punctuation">)</span><span class="operator">%/%</span><span class="number">2</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>low<span class="punctuation">]</span> <span class="operator">==</span> value <span class="operator">&amp;</span> value <span class="operator">==</span> lst<span class="punctuation">[</span>low <span class="operator">+</span> <span class="number">1</span><span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> <span class="built_in">return</span><span class="punctuation">(</span>low <span class="operator">+</span> <span class="number">0.5</span><span class="punctuation">)</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>high<span class="punctuation">]</span> <span class="operator">==</span> value <span class="operator">&amp;</span> value <span class="operator">==</span> lst<span class="punctuation">[</span>high <span class="operator">-</span> <span class="number">1</span><span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> <span class="built_in">return</span><span class="punctuation">(</span>high <span class="operator">-</span> <span class="number">0.5</span><span class="punctuation">)</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">if</span> <span class="punctuation">(</span>lst<span class="punctuation">[</span>low<span class="punctuation">]</span> <span class="operator">&gt;=</span> value<span class="punctuation">)</span><span class="punctuation">&#123;</span><span class="built_in">return</span><span class="punctuation">(</span>low<span class="punctuation">)</span><span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">if</span> <span class="punctuation">(</span>lst<span class="punctuation">[</span>high<span class="punctuation">]</span> <span class="operator">&lt;=</span> value<span class="punctuation">)</span><span class="punctuation">&#123;</span><span class="built_in">return</span><span class="punctuation">(</span>high<span class="punctuation">)</span><span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">while</span> <span class="punctuation">(</span>lst<span class="punctuation">[</span>mid<span class="punctuation">]</span> <span class="operator">!=</span> value<span class="punctuation">)</span> <span class="punctuation">&#123;</span></span><br><span class="line"> <span class="keyword">if</span> <span class="punctuation">(</span>value <span class="operator">&gt;</span> lst<span class="punctuation">[</span>mid<span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> low <span class="operator">&lt;-</span> mid <span class="operator">+</span> <span class="number">1</span></span><br><span class="line"> <span class="punctuation">&#125;</span><span class="keyword">else</span><span class="punctuation">&#123;</span></span><br><span class="line"> high <span class="operator">&lt;-</span> mid <span class="operator">-</span> <span class="number">1</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">if</span> <span class="punctuation">(</span>high <span class="operator">&lt;=</span> low<span class="punctuation">)</span> <span class="punctuation">&#123;</span> <span class="keyword">break</span> <span class="punctuation">&#125;</span></span><br><span class="line"> mid <span class="operator">&lt;-</span> <span class="punctuation">(</span>low<span class="operator">+</span>high<span class="punctuation">)</span><span class="operator">%/%</span><span class="number">2</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">while</span><span class="punctuation">(</span><span class="built_in">T</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> mid0 <span class="operator">&lt;-</span> mid <span class="operator">-</span> <span class="number">1</span></span><br><span class="line"> mid2 <span class="operator">&lt;-</span> mid <span class="operator">+</span> <span class="number">1</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>mid0<span class="punctuation">]</span> <span class="operator">==</span> lst<span class="punctuation">[</span>mid2<span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> <span class="built_in">return</span><span class="punctuation">(</span>mid<span class="punctuation">)</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>mid0<span class="punctuation">]</span> <span class="operator">&lt;=</span> value <span class="operator">&amp;</span> value <span class="operator">&lt;=</span>lst<span class="punctuation">[</span>mid<span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>mid0<span class="punctuation">]</span> <span class="operator">==</span> lst<span class="punctuation">[</span>mid<span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> <span class="built_in">return</span><span class="punctuation">(</span>mid <span class="operator">-</span> <span class="number">0.5</span><span class="punctuation">)</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> t <span class="operator">=</span> <span class="punctuation">(</span>value <span class="operator">-</span> lst<span class="punctuation">[</span>mid0<span class="punctuation">]</span><span class="punctuation">)</span><span class="operator">/</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>mid<span class="punctuation">]</span> <span class="operator">-</span> lst<span class="punctuation">[</span>mid0<span class="punctuation">]</span><span class="punctuation">)</span></span><br><span class="line"> <span class="built_in">return</span><span class="punctuation">(</span>mid0 <span class="operator">+</span> t<span class="punctuation">)</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>mid<span class="punctuation">]</span> <span class="operator">&lt;=</span> value <span class="operator">&amp;</span> value <span class="operator">&lt;=</span> lst<span class="punctuation">[</span>mid2<span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>mid<span class="punctuation">]</span> <span class="operator">==</span> lst<span class="punctuation">[</span>mid2<span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> <span class="built_in">return</span><span class="punctuation">(</span>mid <span class="operator">+</span> <span class="number">0.5</span><span class="punctuation">)</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> t <span class="operator">=</span> <span class="punctuation">(</span>value <span class="operator">-</span> lst<span class="punctuation">[</span>mid<span class="punctuation">]</span><span class="punctuation">)</span><span class="operator">/</span><span class="punctuation">(</span>lst<span class="punctuation">[</span>mid2<span class="punctuation">]</span> <span class="operator">-</span> lst<span class="punctuation">[</span>mid<span class="punctuation">]</span><span class="punctuation">)</span></span><br><span class="line"> <span class="built_in">return</span><span class="punctuation">(</span>mid <span class="operator">+</span> t<span class="punctuation">)</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> <span class="keyword">if</span><span class="punctuation">(</span>value <span class="operator">&lt;</span> lst<span class="punctuation">[</span>mid0<span class="punctuation">]</span><span class="punctuation">)</span><span class="punctuation">&#123;</span></span><br><span class="line"> mid <span class="operator">&lt;-</span> mid0</span><br><span class="line"> <span class="punctuation">&#125;</span><span class="keyword">else</span><span class="punctuation">&#123;</span></span><br><span class="line"> mid <span class="operator">&lt;-</span> mid2</span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"> <span class="punctuation">&#125;</span></span><br><span class="line"><span class="punctuation">&#125;</span></span><br></pre></td></tr></table></figure>
  228. <figure class="highlight r"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">f_Rbisect<span class="punctuation">(</span>res<span class="punctuation">,</span> <span class="built_in">exp</span><span class="punctuation">(</span>ln<span class="punctuation">(</span><span class="number">350</span><span class="punctuation">)</span> <span class="operator">-</span> ln<span class="punctuation">(</span><span class="number">4</span><span class="operator">/</span><span class="number">3</span><span class="punctuation">)</span><span class="operator">*</span><span class="punctuation">(</span><span class="number">0</span><span class="operator">+</span><span class="number">0</span><span class="operator">+</span><span class="number">0.5</span><span class="operator">+</span><span class="number">0.8</span><span class="operator">+</span><span class="number">1</span> <span class="operator">-</span> <span class="number">0.5</span><span class="punctuation">)</span><span class="punctuation">)</span><span class="punctuation">)</span><span class="operator">/</span><span class="number">1000</span></span><br></pre></td></tr></table></figure>
  229. </div>
  230. <hr/>
  231. <div>
  232. <div class="post-metas my-3">
  233. <div class="post-meta">
  234. <i class="iconfont icon-tags"></i>
  235. <a href="/tags/Bootstrap/" class="print-no-link">#Bootstrap</a>
  236. </div>
  237. </div>
  238. <div class="license-box my-3">
  239. <div class="license-title">
  240. <div>【迁移】使用Bootstrap法计算自举置信区间</div>
  241. <div>https://hexo.limour.top/shi-yong-Bootstrap-fa-ji-suan-zi-ju-zhi-xin-qu-jian</div>
  242. </div>
  243. <div class="license-meta">
  244. <div class="license-meta-item">
  245. <div>Author</div>
  246. <div>Limour</div>
  247. </div>
  248. <div class="license-meta-item license-meta-date">
  249. <div>Posted on</div>
  250. <div>September 27, 2022</div>
  251. </div>
  252. <div class="license-meta-item license-meta-date">
  253. <div>Updated on</div>
  254. <div>March 19, 2024</div>
  255. </div>
  256. <div class="license-meta-item">
  257. <div>Licensed under</div>
  258. <div>
  259. <a class="print-no-link" target="_blank" href="https://creativecommons.org/licenses/by-nc-sa/4.0/">
  260. <span class="hint--top hint--rounded" aria-label="BY - Attribution">
  261. <i class="iconfont icon-by"></i>
  262. </span>
  263. </a>
  264. <a class="print-no-link" target="_blank" href="https://creativecommons.org/licenses/by-nc-sa/4.0/">
  265. <span class="hint--top hint--rounded" aria-label="NC - Non-commercial">
  266. <i class="iconfont icon-nc"></i>
  267. </span>
  268. </a>
  269. <a class="print-no-link" target="_blank" href="https://creativecommons.org/licenses/by-nc-sa/4.0/">
  270. <span class="hint--top hint--rounded" aria-label="SA - Share-alike">
  271. <i class="iconfont icon-sa"></i>
  272. </span>
  273. </a>
  274. </div>
  275. </div>
  276. </div>
  277. <div class="license-icon iconfont"></div>
  278. </div>
  279. <div class="post-prevnext my-3">
  280. <article class="post-prev col-6">
  281. <a href="/shi-yong-SCTransform-biao-zhun-hua" title="【迁移】使用SCTransform标准化">
  282. <i class="iconfont icon-arrowleft"></i>
  283. <span class="hidden-mobile">【迁移】使用SCTransform标准化</span>
  284. <span class="visible-mobile">Previous</span>
  285. </a>
  286. </article>
  287. <article class="post-next col-6">
  288. <a href="/cellranger-ding-liang--One-Library--Multiple-Flowcells" title="【迁移】cellranger定量:One Library, Multiple Flowcells">
  289. <span class="hidden-mobile">【迁移】cellranger定量:One Library, Multiple Flowcells</span>
  290. <span class="visible-mobile">Next</span>
  291. <i class="iconfont icon-arrowright"></i>
  292. </a>
  293. </article>
  294. </div>
  295. </div>
  296. <article id="comments" lazyload>
  297. <div id="waline"></div>
  298. <script type="text/javascript">
  299. Fluid.utils.loadComments('#waline', function() {
  300. Fluid.utils.createCssLink('https://cdn.staticfile.org/waline/2.15.5/waline.min.css')
  301. Fluid.utils.createScript('https://cdn.staticfile.org/waline/2.15.5/waline.min.js', function() {
  302. var options = Object.assign(
  303. {"serverURL":"https://comments.limour.top","path":"window.location.pathname","meta":["nick","mail","link"],"requiredMeta":["nick"],"lang":"zh-CN","emoji":["https://jscdn.limour.top/gh/walinejs/emojis/weibo"],"dark":"html[data-user-color-scheme=\"dark\"]","wordLimit":0,"pageSize":10},
  304. {
  305. el: '#waline',
  306. path: window.location.pathname
  307. }
  308. )
  309. Waline.init(options);
  310. Fluid.utils.waitElementVisible('#waline .vcontent', () => {
  311. var imgSelector = '#waline .vcontent img:not(.vemoji)';
  312. Fluid.plugins.imageCaption(imgSelector);
  313. Fluid.plugins.fancyBox(imgSelector);
  314. })
  315. });
  316. });
  317. </script>
  318. <noscript>Please enable JavaScript to view the comments</noscript>
  319. </article>
  320. </article>
  321. </div>
  322. </div>
  323. </div>
  324. <div class="side-col d-none d-lg-block col-lg-2">
  325. <aside class="sidebar" style="margin-left: -1rem">
  326. <div id="toc">
  327. <p class="toc-header">
  328. <i class="iconfont icon-list"></i>
  329. <span>Table of Contents</span>
  330. </p>
  331. <div class="toc-body" id="toc-body"></div>
  332. </div>
  333. </aside>
  334. </div>
  335. </div>
  336. </div>
  337. <a id="scroll-top-button" aria-label="TOP" href="#" role="button">
  338. <i class="iconfont icon-arrowup" aria-hidden="true"></i>
  339. </a>
  340. <div class="modal fade" id="modalSearch" tabindex="-1" role="dialog" aria-labelledby="ModalLabel"
  341. aria-hidden="true">
  342. <div class="modal-dialog modal-dialog-scrollable modal-lg" role="document">
  343. <div class="modal-content">
  344. <div class="modal-header text-center">
  345. <h4 class="modal-title w-100 font-weight-bold">Search</h4>
  346. <button type="button" id="local-search-close" class="close" data-dismiss="modal" aria-label="Close">
  347. <span aria-hidden="true">&times;</span>
  348. </button>
  349. </div>
  350. <div class="modal-body mx-3">
  351. <div class="md-form mb-5">
  352. <input type="text" id="local-search-input" class="form-control validate">
  353. <label data-error="x" data-success="v" for="local-search-input">Keyword</label>
  354. </div>
  355. <div class="list-group" id="local-search-result"></div>
  356. </div>
  357. </div>
  358. </div>
  359. </div>
  360. </main>
  361. <footer>
  362. <div class="footer-inner">
  363. <div class="footer-content">
  364. <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/limour-blog.github.io" target="_blank" rel="nofollow noopener"><span>SRC</span></a> <i class="iconfont icon-love"></i> <a href="https://web.archive.org/web/20231130095837/https://effectiveacceleration.tech/" target="_blank" rel="nofollow noopener"><span>e/Acc</span></a>
  365. </div>
  366. </div>
  367. </footer>
  368. <!-- Scripts -->
  369. <script src="https://jscdn.limour.top/npm/nprogress@0.2.0/nprogress.min.js" ></script>
  370. <link rel="stylesheet" href="https://jscdn.limour.top/npm/nprogress@0.2.0/nprogress.min.css" />
  371. <script>
  372. NProgress.configure({"showSpinner":false,"trickleSpeed":100})
  373. NProgress.start()
  374. window.addEventListener('load', function() {
  375. NProgress.done();
  376. })
  377. </script>
  378. <script src="https://jscdn.limour.top/npm/jquery@3.6.4/dist/jquery.min.js" ></script>
  379. <script src="https://jscdn.limour.top/npm/bootstrap@4.6.1/dist/js/bootstrap.min.js" ></script>
  380. <script src="/js/events.js" ></script>
  381. <script src="/js/plugins.js" ></script>
  382. <script src="/js/img-lazyload.js" ></script>
  383. <script>
  384. Fluid.utils.createScript('https://jscdn.limour.top/npm/tocbot@4.20.1/dist/tocbot.min.js', function() {
  385. var toc = jQuery('#toc');
  386. if (toc.length === 0 || !window.tocbot) { return; }
  387. var boardCtn = jQuery('#board-ctn');
  388. var boardTop = boardCtn.offset().top;
  389. window.tocbot.init(Object.assign({
  390. tocSelector : '#toc-body',
  391. contentSelector : '.markdown-body',
  392. linkClass : 'tocbot-link',
  393. activeLinkClass : 'tocbot-active-link',
  394. listClass : 'tocbot-list',
  395. isCollapsedClass: 'tocbot-is-collapsed',
  396. collapsibleClass: 'tocbot-is-collapsible',
  397. scrollSmooth : true,
  398. includeTitleTags: true,
  399. headingsOffset : -boardTop,
  400. }, CONFIG.toc));
  401. if (toc.find('.toc-list-item').length > 0) {
  402. toc.css('visibility', 'visible');
  403. }
  404. Fluid.events.registerRefreshCallback(function() {
  405. if ('tocbot' in window) {
  406. tocbot.refresh();
  407. var toc = jQuery('#toc');
  408. if (toc.length === 0 || !tocbot) {
  409. return;
  410. }
  411. if (toc.find('.toc-list-item').length > 0) {
  412. toc.css('visibility', 'visible');
  413. }
  414. }
  415. });
  416. });
  417. </script>
  418. <script src=https://lib.baomitu.com/clipboard.js/2.0.11/clipboard.min.js></script>
  419. <script>Fluid.plugins.codeWidget();</script>
  420. <script>
  421. Fluid.utils.createScript('https://jscdn.limour.top/npm/anchor-js@4.3.1/anchor.min.js', function() {
  422. window.anchors.options = {
  423. placement: CONFIG.anchorjs.placement,
  424. visible : CONFIG.anchorjs.visible
  425. };
  426. if (CONFIG.anchorjs.icon) {
  427. window.anchors.options.icon = CONFIG.anchorjs.icon;
  428. }
  429. var el = (CONFIG.anchorjs.element || 'h1,h2,h3,h4,h5,h6').split(',');
  430. var res = [];
  431. for (var item of el) {
  432. res.push('.markdown-body > ' + item.trim());
  433. }
  434. if (CONFIG.anchorjs.placement === 'left') {
  435. window.anchors.options.class = 'anchorjs-link-left';
  436. }
  437. window.anchors.add(res.join(', '));
  438. Fluid.events.registerRefreshCallback(function() {
  439. if ('anchors' in window) {
  440. anchors.removeAll();
  441. var el = (CONFIG.anchorjs.element || 'h1,h2,h3,h4,h5,h6').split(',');
  442. var res = [];
  443. for (var item of el) {
  444. res.push('.markdown-body > ' + item.trim());
  445. }
  446. if (CONFIG.anchorjs.placement === 'left') {
  447. anchors.options.class = 'anchorjs-link-left';
  448. }
  449. anchors.add(res.join(', '));
  450. }
  451. });
  452. });
  453. </script>
  454. <script>Fluid.plugins.imageCaption();</script>
  455. <script src="/js/local-search.js" ></script>
  456. <!-- 主题的启动项,将它保持在最底部 -->
  457. <!-- the boot of the theme, keep it at the bottom -->
  458. <script src="/js/boot.js" ></script>
  459. <noscript>
  460. <div class="noscript-warning">Blog works best with JavaScript enabled</div>
  461. </noscript>
  462. <!-- hexo injector body_end start -->
  463. <script defer src="/theme-inject/timeliness.js"></script>
  464. <!-- hexo injector body_end end --></body>
  465. </html>