{"id":59363,"date":"2024-06-17T07:58:59","date_gmt":"2024-06-16T23:58:59","guid":{"rendered":"http:\/\/www.biocloudservice.com\/wordpress\/?p=59363"},"modified":"2024-06-17T07:58:59","modified_gmt":"2024-06-16T23:58:59","slug":"%e4%ba%94%e5%88%86%e9%92%9f%e6%95%99%e4%bc%9a%e4%bd%a0%e4%bd%bf%e7%94%a8r%e8%af%ad%e8%a8%80%e5%8c%85nlme%e5%bf%ab%e9%80%9f%e5%bb%ba%e7%ab%8b%e7%ba%bf%e6%80%a7%e5%92%8c%e9%9d%9e%e7%ba%bf%e6%80%a7","status":"publish","type":"post","link":"http:\/\/www.biocloudservice.com\/wordpress\/?p=59363","title":{"rendered":"\u4e94\u5206\u949f\u6559\u4f1a\u4f60\u4f7f\u7528R\u8bed\u8a00\u5305nlme\u5feb\u901f\u5efa\u7acb\u7ebf\u6027\u548c\u975e\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b"},"content":{"rendered":"


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\n<\/title><br \/>\n<meta charset=\"utf-8\"><br \/>\n<meta name=\"viewport\" content=\"width=device-width,initial-scale=1.0,maximum-scale=1.0,user-scalable=0,viewport-fit=cover\"><\/p>\n<style>\n*{margin:0;padding:0}html{-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%;line-height:1.6}img{z-index:999;position:relative;max-width:100%;margin:10px 0;}body{letter-spacing:.034em}h1,h2,h3,h4,h5,h6{font-weight:400;font-size:16px}a{color:#576b95;text-decoration:none;-webkit-tap-highlight-color:rgba(0,0,0,0)}td,th{word-wrap:break-word;padding:5px 10px;border:1px solid #DDD;}table{margin-bottom:10px;border-collapse:collapse;display:table;width:100%!important;}.appmsg_skin_default .rich_media_area_primary{background-color:#fff}.appmsg_skin_default .rich_media_area_primary .weui-loadmore_line .weui-loadmore__tips{background-color:#fff}.rich_media_area_primary{padding:20px 16px 12px;background-color:#fafafa}@media (max-width:375px){.rich_media_area_primary{padding:20px 60px 15px 60px}.rich_media_area_extra{padding:0 60px 21px 60px}}@media (min-width:1024px){.rich_media_area_primary_inner,.rich_media_area_extra_inner,body{max-width:677px;margin-left:auto;margin-right:auto}.rich_media_area_primary{padding-top:32px}}.rich_media{padding:20px;overflow:hidden;}.appmsg_skin_default .rich_media_area_primary{background-color:#fff}.appmsg_skin_default .rich_media_area_primary .weui-loadmore_line .weui-loadmore__tips{background-color:#fff}@media screen and (min-width:1024px){.rich_media_area_primary_inner,.rich_media_area_extra_inner{max-width:677px;margin-left:auto;margin-right:auto}.rich_media_area_primary{padding-top:32px}}.rich_media_content{overflow:hidden;color:#333;font-size:17px;word-wrap:break-word;-webkit-hyphens:auto;-ms-hyphens:auto;hyphens:auto;text-align:justify;position:relative;z-index:0}.rich_media_content *{max-width:100%!important;box-sizing:border-box!important;-webkit-box-sizing:border-box!important;word-wrap:break-word!important}.rich_media_content p{clear:both;min-height:1em}.rich_media_content em{font-style:italic}.rich_media_content fieldset{min-width:0}.rich_media_content .list-paddingleft-1,.rich_media_content .list-paddingleft-2,.rich_media_content .list-paddingleft-3{padding-left:2.2em}.rich_media_content .list-paddingleft-1 .list-paddingleft-2,.rich_media_content .list-paddingleft-2 .list-paddingleft-2,.rich_media_content .list-paddingleft-3 .list-paddingleft-2{padding-left:30px}.rich_media_content .list-paddingleft-1{padding-left:1.2em}.rich_media_content .list-paddingleft-3{padding-left:3.2em}.rich_media_content .code-snippet,.rich_media_content .code-snippet__fix{max-width:1000%!important}.rich_media_content .code-snippet *,.rich_media_content .code-snippet__fix *{max-width:1000%!important}.rich_media_title{font-size:22px;line-height:1.4;margin-bottom:13px;padding-bottom:13px;border-bottom:1px solid #e7e7eb;}@supports(-webkit-overflow-scrolling:touch){.rich_media_title{font-weight:700}}.rich_media_meta{display:inline-block;vertical-align:middle;padding:0 0 10px 0;font-size:15px;-webkit-tap-highlight-color:rgba(0,0,0,0)}.rich_media_meta.icon_appmsg_tag{margin-right:0px}.rich_media_meta.meta_tag_text{margin-right:0}.rich_media_meta_list em{font-style:normal}.rich_media_meta_text{color:#a5a5a5;}p{margin:0;}.msgBox{margin-top:20px;padding-top:20px;padding-left:50px;overflow:hidden;border-top:2px dashed #09a2ff;}.msg{padding-top:7px;clear:both;}.msgBody{float:right;width:100%;margin-left:55px;padding-bottom:15px;border-bottom:1px dashed #e0e0e0;}.userHeadImg{float:left;margin-left:-50px;}.userHeadImg img{width:40px;height:40px;margin-right:10px;border-radius:3px;}.userName{color:#888888;line-height:24px;font-size:14px;margin:5px 0 5px 0;height:24px;}.replyBody,.autherBody{color:#565656;font-size:15px;}.replyIcon{border-left:4px solid #33ab01;margin-right:5px;}.ad{text-decoration:none;color:#d6d4d4;font-size:12px;}.msgBodyReply{padding-top:5px;}.userName span{float:right;color:#afafaf;font-size:14px;}code{text-align:left;font-size:14px;display:block;white-space:pre;display:-webkit-box;display:-webkit-flex;display:flex;position:relative;}.code-snippet__fix{font-size:14px;margin:10px 0;display:block;color:#333;position:relative;background-color:rgba(0,0,0,0.03);border:1px solid #f0f0f0;border-radius:2px;display:-webkit-box;display:-webkit-flex;display:flex;padding-left:25px;line-height:26px}.code-snippet__fix code{text-align:left;font-size:14px;display:block;white-space:pre;display:-webkit-box;display:-webkit-flex;display:flex;position:relative;font-family:Consolas,\"Liberation Mono\",Menlo,Courier,monospace}.code-snippet__comment,.code-snippet__quote{color:#afafaf;font-style:italic}.code-snippet__keyword,.code-snippet__selector-tag,.code-snippet__subst{color:#ca7d37}.code-snippet__number,.code-snippet__literal,.code-snippet__variable,.code-snippet__template-variable,.code-snippet__tag .code-snippet__attr{color:#0e9ce5}.code-snippet__string,.code-snippet__doctag{color:#d14}.code-snippet__title,.code-snippet__section,.code-snippet__selector-id{color:#d14}.code-snippet__subst{font-weight:normal}.code-snippet__type,.code-snippet__class .code-snippet__title{color:#0e9ce5}.code-snippet__tag,.code-snippet__name,.code-snippet__attribute{color:#0e9ce5;font-weight:normal}.code-snippet__regexp,.code-snippet__link{color:#ca7d37}.code-snippet__symbol,.code-snippet__bullet{color:#d14}.code-snippet__built_in,.code-snippet__builtin-name{color:#ca7d37}.code-snippet__meta{color:#afafaf}.code-snippet__deletion{background:#fdd}.code-snippet__addition{background:#dfd}.code-snippet__emphasis{font-style:italic}.code-snippet__strong{font-weight:bold}.account_avatar{width:40px;height:40px;padding:0;}.account_info{display:-webkit-box;display:-webkit-flex;display:flex;-webkit-box-align:center;-webkit-align-items:center;padding:20px 0;align-items:center}.flex_bd{padding-left:14px;}.account_nickname{display:inline-block;vertical-align:middle;line-height:1.2;color:#576b95;font-size:14px}.account_desc{overflow:hidden;text-overflow:ellipsis;display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:1;color:rgba(0,0,0,0.3);font-size:14px;line-height:1.2;padding-top:.4em}.msg_source_url{text-align:left;word-break:break-all;margin-top:20px;}.msg_source_url a{padding-right:10px;}.msg_source_url .url_text{color:#a8a8a8;}.video-desc{font-size:14px;margin-top:15px;color:#6c6c6c;}.msg_source_url{text-align:left;}.original_primary_card_tips{color:rgba(0,0,0,0.3);line-height:1.4;font-size:15px;}.weui-flex__item{margin-bottom:20px;padding:20px 16px;margin-top:16px;line-height:1.4;align-items:center;background-color:#f7f7f7;border-radius:8px;position:relative;}.original_primary_desc{color:rgba(0,0,0,0.5);font-size:14px;padding-top:4px;width:auto;overflow:hidden;text-overflow:ellipsis;}.msgBodyReplyList{border-top:1px solid #e1e1e1;margin-top:10px;}.msgBodyReplyListTop{border-top:0;}.reply_like_num{float:right;font-size:14px;color:#c7c7c7;}.msgData{margin-top:20px;color:#626262;}.msgData span{font-size:14px;padding-right:15px;}.msgData .likes{float:right;padding-right:0;}.js_text_content p{font-size:18px;}.rich_media_meta_link{font-size:15px;}blockquote {padding-left: 10px;border-left: 3px solid #dbdbdb;color: rgba(0,0,0,0.5);font-size: 15px;padding-top: 4px;margin: 1em 0;}.video_iframe{width:500px;height:400px;}.blockquote_info{color:#b5b5b5;margin-top:10px;}#copyright_logo{color:#bdbdbd;}.rich_media_meta_list{margin-bottom:10px;}.reprint{background:#efefef;border-radius:5px;padding:8px;color:#1f1f1f;}.reprint a{word-break:break-all;}.topic{color:#8e8e8e;background:#f7f7f7;border-radius:5px;padding:10px 8px;}.topic a{padding-right:5px;}.topic p{margin-bottom:5px;}\n<\/style>\n<link href=\"https:\/\/www.juyifx.cn\/config\/css\/wxArticle.css\" rel=\"stylesheet\"\/>\n<\/head><script>\nvar 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rich_media_meta_nickname\" id=\"profileBt\"><a href=\"javascript:void(0);\" class=\"wx_tap_link js_wx_tap_highlight weui-wa-hotarea\" id=\"js_name\">\u751f\u4fe1\u679c  <\/a><\/span><em id=\"publish_time\" class=\"rich_media_meta rich_media_meta_text\">2023-08-14 19:02:48<\/em><\/div>\n<p><content><\/p>\n<div class=\"reprint\">\n<p>\u8f6c\u81ea\u516c\u4f17\u53f7\uff1aR\u8bed\u8a00\u5b66\u5f92<br \/><a href=\"http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&mid=2247484943&idx=1&sn=f0544964416cb07f448b106888968600\" target=\"_blank\" title=\"\u9605\u8bfb\u539f\u6587\" rel=\"noopener\">http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&mid=2247484943&idx=1&sn=f0544964416cb07f448b106888968600<\/a><\/p>\n<\/div>\n<section style=\"font-size: 16px;margin-bottom: 24px;\">\n<section style=\"text-align: left;justify-content: flex-start;display: flex;flex-flow: row nowrap;margin-top: 20px;margin-bottom: 25px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: auto;vertical-align: top;align-self: flex-start;flex: 0 0 auto;min-width: 5%;height: auto;background-color: rgb(249, 172, 172);box-shadow: rgb(249, 172, 172) 0px 0px 5px 3px;\">\n<section style=\"text-align: center;transform: translate3d(2px, 0px, 0px);margin-top: -14px;margin-bottom: -14px;\" powered-by=\"xiumi.us\">\n<p>{ \u70b9\u51fb\u84dd\u5b57\uff0c\u5173\u6ce8\u6211\u4eec }<\/p>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">R\u8bed\u8a00\u5305nlme\u662f\u4e00\u4e2a\u7528\u4e8e\u5b9e\u73b0\u7ebf\u6027\u548c\u975e\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b\u7684\u5f3a\u5927\u5de5\u5177\u3002\u6df7\u5408\u6548\u5e94\u6a21\u578b\u662f\u4e00\u79cd\u5e7f\u6cdb\u5e94\u7528\u4e8e\u7edf\u8ba1\u5efa\u6a21\u7684\u6280\u672f\uff0c\u7279\u522b\u9002\u7528\u4e8e\u5206\u6790\u5177\u6709\u91cd\u590d\u6d4b\u91cf\u6216\u5c42\u6b21\u7ed3\u6784\u7684\u6570\u636e\u3002\u8be5\u5305\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u529f\u80fd\uff0c\u53ef\u4ee5\u5e2e\u52a9\u7814\u7a76\u4eba\u5458\u66f4\u597d\u5730\u7406\u89e3\u548c\u89e3\u91ca\u6570\u636e\u4e2d\u7684\u968f\u673a\u53d8\u5f02\u548c\u56fa\u5b9a\u6548\u5e94\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u8981\u4f7f\u7528nlme\u5305\uff0c\u53ef\u4ee5\u5728R\u4e2d\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u8fdb\u884c\u5b89\u88c5\u548c\u52a0\u8f7d\uff1a<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">> install.packages(<span class=\"code-snippet__string\">\"nlme\"<\/span>) <span class=\"code-snippet__comment\">#\u5b89\u88c5nlme\u8bed\u8a00\u5305<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> library(nlme) <span class=\"code-snippet__comment\">#\u52a0\u8f7d\u8bed\u8a00\u5305<\/span><\/span><\/code><\/pre>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b\u662f\u6df7\u5408\u6548\u5e94\u6a21\u578b\u7684\u4e00\u79cd\u7279\u6b8a\u60c5\u51b5\uff0c\u5b83\u5047\u8bbe\u6570\u636e\u4e2d\u7684\u968f\u673a\u53d8\u5f02\u662f\u901a\u8fc7\u4e00\u4e2a\u7ebf\u6027\u6a21\u578b\u6765\u63cf\u8ff0\u7684\u3002lme()\u51fd\u6570\u53ef\u4ee5\u5904\u7406\u8fd9\u7c7b\u6a21\u578b\uff0c\u540c\u65f6\u53ef\u4ee5\u6307\u5b9a\u56fa\u5b9a\u6548\u5e94\u548c\u968f\u673a\u6548\u5e94\uff0c\u4ece\u800c\u66f4\u597d\u5730\u6355\u6349\u6570\u636e\u7684\u53d8\u5f02\u6027\u3002\u6b64\u5916\uff0cnlme\u5305\u8fd8\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u7528\u4e8e\u8bca\u65ad\u6a21\u578b\u62df\u5408\u6548\u679c\u7684\u51fd\u6570\uff0c\u4f8b\u5982\u901a\u8fc7\u7ed8\u5236\u6b8b\u5dee\u56fe\u3001Q-Q\u56fe\u548c\u76f8\u5173\u56fe\u6765\u68c0\u9a8c\u6a21\u578b\u662f\u5426\u6ee1\u8db3\u5047\u8bbe\u3002<br \/><\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\"><span style=\"color: rgb(239, 135, 135);\"><strong>\u793a\u4f8b\uff1a<\/strong><\/span><\/p>\n<p style=\"white-space: normal;\">\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u7ec4\u751f\u7269\u5b66\u5b9e\u9a8c\u6570\u636e\uff0c\u5176\u4e2d\u6d4b\u91cf\u4e86\u4e0d\u540c\u4e2a\u4f53\u7684\u67d0\u4e2a\u751f\u7269\u6307\u6807\uff08\u4f8b\u5982\u4f53\u91cd\uff09\u5728\u4e0d\u540c\u65f6\u95f4\u70b9\u4e0b\u7684\u6570\u503c\u3002\u8fd9\u79cd\u6570\u636e\u901a\u5e38\u5305\u542b\u591a\u4e2a\u4e2a\u4f53\u7684\u591a\u6b21\u6d4b\u91cf\uff0c\u5177\u6709\u5c42\u6b21\u7ed3\u6784\uff0c\u56e0\u4e3a\u540c\u4e00\u7ec4\u4e2a\u4f53\u5728\u4e0d\u540c\u65f6\u95f4\u70b9\u4e0b\u6709\u591a\u6b21\u89c2\u6d4b\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u5b89\u88c5\u548c\u52a0\u8f7dnlme\u5305\uff0c\u5e76\u51c6\u5907\u793a\u4f8b\u6570\u636e\u3002\u8fd9\u91cc\u4f7f\u7528\u4e00\u4e2a\u865a\u6784\u7684\u793a\u4f8b\uff0c\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u540d\u4e3a”biological_data”\u7684\u6570\u636e\u6846\uff0c\u5176\u4e2d\u5305\u542b\u4e09\u5217\uff1a”\u4e2a\u4f53ID”\u8868\u793a\u4e0d\u540c\u4e2a\u4f53\u7684\u6807\u8bc6\uff0c”\u65f6\u95f4”\u8868\u793a\u6d4b\u91cf\u7684\u65f6\u95f4\u70b9\uff0c”\u4f53\u91cd”\u8868\u793a\u5bf9\u5e94\u65f6\u95f4\u70b9\u4e0b\u7684\u4f53\u91cd\u6570\u503c\u3002<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\">#\u5b89\u88c5\u5e76\u52a0\u8f7dnlme\u8bed\u8a00\u5305<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> install.packages(\u201cnlme\u201d)<\/span><\/code><code><span class=\"code-snippet_outer\">> library(nlme)<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u521b\u5efa\u865a\u62df\u7684\u751f\u7269\u5b66\u6570\u636e<\/span><\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u5047\u8bbe\u67095\u4e2a\u4e2a\u4f53\uff0c\u6bcf\u4e2a\u4e2a\u4f53\u67093\u4e2a\u65f6\u95f4\u70b9\u7684\u6d4b\u91cf<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> individuals <- factor(<span class=\"code-snippet__built_in\">rep<\/span>(<span class=\"code-snippet__number\">1<\/span>:<span class=\"code-snippet__number\">5<\/span>, each = <span class=\"code-snippet__number\">3<\/span>))<\/span><\/code><code><span class=\"code-snippet_outer\">> time_points <- factor(<span class=\"code-snippet__built_in\">rep<\/span>(<span class=\"code-snippet__number\">1<\/span>:<span class=\"code-snippet__number\">3<\/span>, times = <span class=\"code-snippet__number\">5<\/span>))<\/span><\/code><code><span class=\"code-snippet_outer\">> weights <- <span class=\"code-snippet__built_in\">c<\/span>(<span class=\"code-snippet__number\">50<\/span>, <span class=\"code-snippet__number\">52<\/span>, <span class=\"code-snippet__number\">55<\/span>, <span class=\"code-snippet__number\">60<\/span>, <span class=\"code-snippet__number\">58<\/span>, <span class=\"code-snippet__number\">62<\/span>, <span class=\"code-snippet__number\">65<\/span>, <span class=\"code-snippet__number\">63<\/span>, <span class=\"code-snippet__number\">68<\/span>, <span class=\"code-snippet__number\">70<\/span>, <span class=\"code-snippet__number\">72<\/span>, <span class=\"code-snippet__number\">75<\/span>, <span class=\"code-snippet__number\">80<\/span>, <span class=\"code-snippet__number\">78<\/span>, <span class=\"code-snippet__number\">82<\/span>)<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u521b\u5efa\u6570\u636e<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> biological_data <- data.frame(\u4e2a\u4f53ID = individuals, \u65f6\u95f4 = time_points, \u4f53\u91cd = weights)<\/span><\/code><\/pre>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u73b0\u5728\uff0c\u6211\u4eec\u4f7f\u7528nlme\u5305\u6765\u62df\u5408\u4e00\u4e2a\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b\uff0c\u5c06\u4f53\u91cd\u4f5c\u4e3a\u54cd\u5e94\u53d8\u91cf\uff0c\u65f6\u95f4\u4f5c\u4e3a\u56fa\u5b9a\u6548\u5e94\uff0c\u4e2a\u4f53ID\u4f5c\u4e3a\u968f\u673a\u6548\u5e94\u3002\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528lme()\u51fd\u6570\u6765\u5b9e\u73b0\u8fd9\u4e2a\u6a21\u578b\u3002\u5728\u8fd9\u4e2a\u6a21\u578b\u4e2d\uff0c”\u4f53\u91cd”\u662f\u54cd\u5e94\u53d8\u91cf\uff0c”\u65f6\u95f4”\u662f\u56fa\u5b9a\u6548\u5e94\uff0c”\u4e2a\u4f53ID”\u662f\u968f\u673a\u6548\u5e94\u3002\u901a\u8fc7\u5c06\u4e2a\u4f53ID\u4f5c\u4e3a\u968f\u673a\u6548\u5e94\uff0c\u6211\u4eec\u8003\u8651\u4e86\u4e2a\u4f53\u4e4b\u95f4\u7684\u968f\u673a\u53d8\u5f02\uff0c\u540c\u65f6\u5229\u7528\u65f6\u95f4\u4f5c\u4e3a\u56fa\u5b9a\u6548\u5e94\uff0c\u6765\u8003\u8651\u4e0d\u540c\u65f6\u95f4\u70b9\u5bf9\u4f53\u91cd\u7684\u5f71\u54cd\u3002<\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u62df\u5408\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> linear_mixed_model <- lme(\u4f53\u91cd ~ \u65f6\u95f4, random = ~<span class=\"code-snippet__number\">1<\/span> | \u4e2a\u4f53ID, data = biological_data)<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u67e5\u770b\u6a21\u578b\u7684\u6458\u8981<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> summary(linear_mixed_model)<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" data-ratio=\"0.9869848156182213\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/1_LygHbeHx99TrlBhg6Qt0cL9KUtwvNA.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUHD1uHnnibb36qDCOib9Zb82vAKBXJdWbpKKMiblfpWHCV9K8LygHbeHx99TrlBhg6Qt0cL9KUtwvNA\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"922\" style=\"vertical-align: middle;width: 100%;\" data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u6211\u4eec\u53ef\u4ee5\u7ed8\u5236\u6a21\u578b\u7684\u6b8b\u5dee\u56fe\uff0c\u68c0\u9a8c\u6a21\u578b\u662f\u5426\u6ee1\u8db3\u7ebf\u6027\u5047\u8bbe\u3002<br \/><\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u7ed8\u5236\u6b8b\u5dee\u56fe<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> plot(resid(linear_mixed_model) ~ fitted(linear_mixed_model),<\/span><\/code><code><span class=\"code-snippet_outer\">+ xlab = <span class=\"code-snippet__string\">\"Fitted Values\"<\/span>,<\/span><\/code><code><span class=\"code-snippet_outer\">+ ylab = <span class=\"code-snippet__string\">\"Residuals\"<\/span>,<\/span><\/code><code><span class=\"code-snippet_outer\">+ main = <span class=\"code-snippet__string\">\"Residual Plot\"<\/span>)<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" data-ratio=\"0.8464646464646465\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/2_cQgz8mlzvqVyg0hc5FkbK4xll0poag.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUHD1uHnnibb36qDCOib9Zb825QcUAibw4I1m0AnEuSuq6K9nLicQgz8mlzvqVyg0hc5FkbK4xll0poag\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"990\" style=\"vertical-align: middle;width: 100%;\" data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u9664\u4e86\u6b8b\u5dee\u56fe\uff0c\u6211\u4eec\u8fd8\u53ef\u4ee5\u7ed8\u5236Q-Q\u56fe\u548c\u76f8\u5173\u56fe\u6765\u8fdb\u4e00\u6b65\u68c0\u9a8c\u6a21\u578b\u662f\u5426\u6ee1\u8db3\u5047\u8bbe\u3002<\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u7ed8\u5236Q-Q\u56fe<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> qqnorm(resid(linear_mixed_model))<\/span><\/code><code><span class=\"code-snippet_outer\">> qqline(resid(linear_mixed_model))<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" data-ratio=\"0.8464646464646465\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/3_GE5erCJPpfibX6ow3GOmsW1pESHb8g.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUHD1uHnnibb36qDCOib9Zb82uux9ibfxIiaMFPJUXibibk4kXTiaDbGE5erCJPpfibX6ow3GOmsW1pESHb8g\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"990\" style=\"vertical-align: middle;width: 100%;\" data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u7ed8\u5236\u76f8\u5173\u56fe<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> plot(time_points, resid(linear_mixed_model),<\/span><\/code><code><span class=\"code-snippet_outer\">+ xlab = <span class=\"code-snippet__string\">\"Time\"<\/span>,<\/span><\/code><code><span class=\"code-snippet_outer\">+ ylab = <span class=\"code-snippet__string\">\"Residuals\"<\/span>,<\/span><\/code><code><span class=\"code-snippet_outer\">+ main = <span class=\"code-snippet__string\">\"Residuals vs. Time\"<\/span>)<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" data-ratio=\"0.8464646464646465\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/4_lDcB40nONIN0icgHdvZxHXgayfH92w.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUHD1uHnnibb36qDCOib9Zb82V0SQksoZ1wsus7m5FP2ucwAb3lDcB40nONIN0icgHdvZxHXgayfH92w\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"990\" style=\"vertical-align: middle;width: 100%;\" data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u901a\u8fc7\u8fd9\u4e9b\u8bca\u65ad\u56fe\uff0c\u6211\u4eec\u53ef\u4ee5\u68c0\u67e5\u6a21\u578b\u662f\u5426\u6ee1\u8db3\u7ebf\u6027\u5047\u8bbe\uff0c\u4ee5\u53ca\u968f\u673a\u8bef\u5dee\u662f\u5426\u7b26\u5408\u6b63\u6001\u5206\u5e03\u548c\u72ec\u7acb\u6027\u7684\u5047\u8bbe\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u975e\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b\u66f4\u52a0\u7075\u6d3b\uff0c\u56e0\u4e3a\u5b83\u5141\u8bb8\u6570\u636e\u4e2d\u7684\u968f\u673a\u53d8\u5f02\u901a\u8fc7\u975e\u7ebf\u6027\u51fd\u6570\u6765\u63cf\u8ff0\u3002nlme()\u51fd\u6570\u63d0\u4f9b\u4e86\u62df\u5408\u975e\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b\u7684\u529f\u80fd\uff0c\u5b83\u53ef\u4ee5\u7528\u4e8e\u89e3\u51b3\u8bb8\u591a\u5b9e\u9645\u95ee\u9898\uff0c\u4f8b\u5982\u836f\u7269\u4ee3\u8c22\u52a8\u529b\u5b66\u7684\u5efa\u6a21\u3001\u751f\u957f\u66f2\u7ebf\u7684\u62df\u5408\u7b49\u3002\u975e\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b\u901a\u5e38\u9700\u8981\u66f4\u591a\u7684\u8ba1\u7b97\u8d44\u6e90\u548c\u66f4\u590d\u6742\u7684\u6a21\u578b\u8bbe\u5b9a\uff0c\u4f46\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u5b83\u53ef\u4ee5\u66f4\u597d\u5730\u62df\u5408\u6570\u636e\u548c\u9884\u6d4b\u672a\u77e5\u6570\u636e\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\"><span style=\"color: rgb(239, 135, 135);\"><strong>\u793a\u4f8b\uff1a<\/strong><\/span><\/p>\n<p style=\"white-space: normal;\">\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u751f\u7269\u5b66\u5b9e\u9a8c\u6570\u636e\u96c6\uff0c\u5176\u4e2d\u5305\u542b\u4e86\u4e00\u7ec4\u690d\u7269\u7684\u751f\u957f\u6570\u636e\u3002\u6211\u4eec\u5e0c\u671b\u4f7f\u7528\u975e\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b\u6765\u62df\u5408\u8fd9\u4e9b\u6570\u636e\uff0c\u4ee5\u63a2\u7d22\u690d\u7269\u7684\u751f\u957f\u66f2\u7ebf\u6a21\u5f0f\u3002\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u540d\u4e3a”plant_growth_data”\u7684\u6570\u636e\u6846\uff0c\u5176\u4e2d\u5305\u542b\u4e09\u5217\uff1a”\u65f6\u95f4”\u8868\u793a\u6d4b\u91cf\u7684\u65f6\u95f4\u70b9\uff0c”\u4e2a\u4f53ID”\u8868\u793a\u4e0d\u540c\u690d\u7269\u4e2a\u4f53\u7684\u6807\u8bc6\uff0c”\u751f\u957f\u91cf”\u8868\u793a\u5bf9\u5e94\u65f6\u95f4\u70b9\u4e0b\u690d\u7269\u7684\u751f\u957f\u91cf\u3002<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u540d\u4e3a\"plant_growth_data\"\u7684\u6570\u636e\u6846<\/span><\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u521b\u5efa\u865a\u62df\u7684\u751f\u7269\u5b66\u6570\u636e<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> time_points <- <span class=\"code-snippet__built_in\">c<\/span>(<span class=\"code-snippet__number\">1<\/span>, <span class=\"code-snippet__number\">2<\/span>, <span class=\"code-snippet__number\">3<\/span>, <span class=\"code-snippet__number\">4<\/span>, <span class=\"code-snippet__number\">5<\/span>, <span class=\"code-snippet__number\">1<\/span>, <span class=\"code-snippet__number\">2<\/span>, <span class=\"code-snippet__number\">3<\/span>, <span class=\"code-snippet__number\">4<\/span>, <span class=\"code-snippet__number\">5<\/span>) <span class=\"code-snippet__comment\"># 5\u4e2a\u65f6\u95f4\u70b9<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> individuals <- factor(<span class=\"code-snippet__built_in\">rep<\/span>(<span class=\"code-snippet__number\">1<\/span>:<span class=\"code-snippet__number\">2<\/span>, each = <span class=\"code-snippet__number\">5<\/span>)) <span class=\"code-snippet__comment\"># 2\u4e2a\u690d\u7269\u4e2a\u4f53<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> growth <- <span class=\"code-snippet__built_in\">c<\/span>(<span class=\"code-snippet__number\">2.5<\/span>, <span class=\"code-snippet__number\">3.8<\/span>, <span class=\"code-snippet__number\">4.2<\/span>, <span class=\"code-snippet__number\">5.1<\/span>, <span class=\"code-snippet__number\">6.0<\/span>, <span class=\"code-snippet__number\">1.8<\/span>, <span class=\"code-snippet__number\">2.9<\/span>, <span class=\"code-snippet__number\">3.5<\/span>, <span class=\"code-snippet__number\">4.0<\/span>, <span class=\"code-snippet__number\">4.8<\/span>) <span class=\"code-snippet__comment\"># \u751f\u957f\u91cf<\/span><\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u521b\u5efa\u6570\u636e\u6846<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> plant_growth_data <- data.frame(\u65f6\u95f4 = time_points, \u4e2a\u4f53ID = individuals, \u751f\u957f\u91cf = growth)<\/span><\/code><\/pre>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u5c06\u4f7f\u7528Logistic\u751f\u957f\u66f2\u7ebf\u6765\u63cf\u8ff0\u690d\u7269\u7684\u751f\u957f\u6a21\u5f0f\uff0c\u8be5\u66f2\u7ebf\u662f\u975e\u7ebf\u6027\u7684\u3002\u6211\u4eec\u5c06\u65f6\u95f4\u4f5c\u4e3a\u56fa\u5b9a\u6548\u5e94\uff0c\u4e2a\u4f53ID\u4f5c\u4e3a\u968f\u673a\u6548\u5e94\uff0c\u5e76\u4f7f\u7528Logistic\u51fd\u6570\u4f5c\u4e3a\u975e\u7ebf\u6027\u7684\u751f\u957f\u6a21\u578b\u3002<br \/><\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u5b9a\u4e49Logistic\u751f\u957f\u6a21\u578b<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> logistic_model <- <span class=\"code-snippet__keyword\">function<\/span>(t, b0, b1, b2) {<\/span><\/code><code><span class=\"code-snippet_outer\">+   y <- b0 \/ (<span class=\"code-snippet__number\">1<\/span> + <span class=\"code-snippet__built_in\">exp<\/span>(-b1 * (t - b2)))<\/span><\/code><code><span class=\"code-snippet_outer\">+   <span class=\"code-snippet__built_in\">return<\/span>(y)<\/span><\/code><code><span class=\"code-snippet_outer\">+ }<\/span><\/code><code><span class=\"code-snippet_outer\">> <span class=\"code-snippet__comment\"># \u62df\u5408\u975e\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> nonlinear_mixed_model <- nlme(\u751f\u957f\u91cf ~ logistic_model(\u65f6\u95f4, b0, b1, b2),<\/span><\/code><code><span class=\"code-snippet_outer\">+                               fixed = b0 + b1 + b2 ~ <span class=\"code-snippet__number\">1<\/span>,<\/span><\/code><code><span class=\"code-snippet_outer\">+                               random = b0 + b1 + b2 ~ <span class=\"code-snippet__number\">1<\/span> | \u4e2a\u4f53ID,<\/span><\/code><code><span class=\"code-snippet_outer\">+                               start = <span class=\"code-snippet__built_in\">c<\/span>(b0 = <span class=\"code-snippet__number\">1<\/span>, b1 = <span class=\"code-snippet__number\">1<\/span>, b2 = <span class=\"code-snippet__number\">1<\/span>),<\/span><\/code><code><span class=\"code-snippet_outer\">+                               data = plant_growth_data)<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># \u67e5\u770b\u6a21\u578b\u7684\u6458\u8981<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">> summary(nonlinear_mixed_model)<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" data-ratio=\"0.9002590673575129\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/5_bKAAJMjQYfttTfO62X4Y5ggCXG7iag.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUHD1uHnnibb36qDCOib9Zb82SKyYPypdjBcvhtKsC0xtUu1pkibKAAJMjQYfttTfO62X4Y5ggCXG7iag\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"772\" style=\"vertical-align: middle;width: 100%;\" data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u5728\u8fd9\u4e2a\u6a21\u578b\u4e2d\uff0c\u6211\u4eec\u901a\u8fc7\u81ea\u5b9a\u4e49\u7684Logistic\u751f\u957f\u6a21\u578blogistic_model()\u6765\u63cf\u8ff0\u690d\u7269\u7684\u751f\u957f\u6a21\u5f0f\u3002\u6a21\u578b\u4e2d\u6709\u4e09\u4e2a\u53c2\u6570b0\u3001b1\u3001b2\uff0c\u5206\u522b\u4ee3\u8868\u751f\u957f\u66f2\u7ebf\u7684\u6700\u5927\u503c\u3001\u751f\u957f\u901f\u7387\u548c\u4e2d\u70b9\u4f4d\u7f6e\u3002\u901a\u8fc7\u62df\u5408\u975e\u7ebf\u6027\u6df7\u5408\u6548\u5e94\u6a21\u578b\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u8fd9\u4e9b\u53c2\u6570\u7684\u4f30\u8ba1\u503c\uff0c\u4ece\u800c\u83b7\u5f97\u4e86\u5173\u4e8e\u690d\u7269\u751f\u957f\u66f2\u7ebf\u7684\u4fe1\u606f\u3002<br \/><\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u9664\u4e86\u6a21\u578b\u62df\u5408\u529f\u80fd\uff0cnlme\u5305\u8fd8\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u7528\u4e8e\u9884\u6d4b\u548c\u53ef\u89c6\u5316\u6a21\u578b\u7ed3\u679c\u7684\u51fd\u6570\u3002\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u4f7f\u7528\u8fd9\u4e9b\u51fd\u6570\u6765\u4ece\u5df2\u62df\u5408\u7684\u6a21\u578b\u4e2d\u63d0\u53d6\u53c2\u6570\u4f30\u8ba1\u503c\u3001\u9884\u6d4b\u65b0\u6570\u636e\u70b9\u4ee5\u53ca\u7ed8\u5236\u62df\u5408\u66f2\u7ebf\u548c\u6548\u5e94\u56fe\u3002\u8fd9\u4e9b\u5de5\u5177\u4e3a\u7814\u7a76\u4eba\u5458\u63d0\u4f9b\u4e86\u66f4\u597d\u5730\u7406\u89e3\u6570\u636e\u548c\u6a21\u578b\u7684\u80fd\u529b\uff0c\u4ece\u800c\u5e2e\u52a9\u4ed6\u4eec\u505a\u51fa\u66f4\u5408\u7406\u7684\u7edf\u8ba1\u63a8\u65ad\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u4ee5\u4e0a\u5c31\u662f\u5bf9R\u8bed\u8a00\u5305nlme\u7684\u7b80\u5355\u4ecb\u7ecd\u5566\uff0cnlme\u5305\u662f\u4e00\u4e2a\u529f\u80fd\u5f3a\u5927\u4e14\u7075\u6d3b\u7684R\u8bed\u8a00\u5de5\u5177\uff0c\u9002\u7528\u4e8e\u5904\u7406\u590d\u6742\u7684\u7edf\u8ba1\u5efa\u6a21\u95ee\u9898\u3002\u5b83\u5141\u8bb8\u7814\u7a76\u4eba\u5458\u5728\u6570\u636e\u4e2d\u5f15\u5165\u968f\u673a\u6548\u5e94\uff0c\u66f4\u597d\u5730\u6355\u6349\u6570\u636e\u7684\u53d8\u5f02\u6027\uff0c\u5e76\u4e14\u53ef\u4ee5\u9002\u7528\u4e8e\u7ebf\u6027\u548c\u975e\u7ebf\u6027\u6a21\u578b\u3002\u901a\u8fc7nlme\u5305\uff0c\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u66f4\u6df1\u5165\u5730\u6316\u6398\u6570\u636e\u4e2d\u7684\u4fe1\u606f\uff0c\u4ece\u800c\u4e3a\u5404\u79cd\u5b66\u79d1\u9886\u57df\u7684\u7814\u7a76\u63d0\u4f9b\u6709\u529b\u7684\u652f\u6301\u3002\u65e0\u8bba\u662f\u5728\u533b\u5b66\u3001\u751f\u6001\u5b66\u3001\u5fc3\u7406\u5b66\u8fd8\u662f\u793e\u4f1a\u79d1\u5b66\u7b49\u9886\u57df\uff0cnlme\u5305\u90fd\u80fd\u53d1\u6325\u91cd\u8981\u7684\u4f5c\u7528\uff0c\u5e2e\u52a9\u7814\u7a76\u4eba\u5458\u505a\u51fa\u51c6\u786e\u53ef\u9760\u7684\u7edf\u8ba1\u63a8\u65ad\uff0c\u63a8\u52a8\u79d1\u5b66\u7684\u53d1\u5c55\u4e0e\u8fdb\u6b65\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u5c0f\u4f19\u4f34\u4eec\uff0c\u4eca\u5929\u6709\u6ca1\u6709\u5b66\u5230\u65b0\u77e5\u8bc6\u5462\uff0c\u60f3\u8981\u7ee7\u7eed\u4e86\u89e3R\u8bed\u8a00\u5185\u5bb9\u53ef\u4ee5\u6301\u7eed\u5173\u6ce8\u5c0f\u5e08\u59b9\u54e6\uff5e\uff5e\u6216\u8005\u4e5f\u53ef\u4ee5\u5173\u6ce8\u6211\u4eec\u7684\u5b98\u7f51\u4e5f\u4f1a\u6301\u7eed\u66f4\u65b0\u7684\u54e6\uff5e http:\/\/www.biocloudservice.com\/home.html<\/p>\n<\/section>\n<section style=\"text-align: justify;justify-content: center;display: flex;flex-flow: row nowrap;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: 100%;vertical-align: top;align-self: flex-start;flex: 0 0 auto;height: auto;background-color: rgb(255, 255, 255);overflow: hidden;padding-top: 5px;\">\n<section style=\"display: flex;width: 100%;flex-flow: column nowrap;\" powered-by=\"xiumi.us\">\n<section style=\"z-index: 1;\" powered-by=\"xiumi.us\">\n<section style=\"justify-content: center;display: flex;flex-flow: row nowrap;margin-bottom: 5px;\">\n<section style=\"display: inline-block;vertical-align: bottom;width: auto;align-self: flex-end;flex: 0 0 0%;height: auto;\">\n<section style=\"transform: rotateZ(340deg) scale(0.65);margin-top: -4px;margin-bottom: -4px;transform-origin: center center;\" powered-by=\"xiumi.us\">\n<section style=\"\">\n<section style=\"display: inline-block;width: 20px;height: 20px;vertical-align: top;overflow: hidden;border-width: 1px;border-radius: 100%;border-style: solid;border-color: rgb(239, 135, 135);background-color: rgb(242, 203, 206);\">\n<section style=\"margin-top: 2px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: 15px;height: 15px;vertical-align: top;overflow: hidden;border-width: 3px;border-radius: 100%;border-style: solid;border-color: rgb(255, 255, 255) rgba(255, 255, 255, 0) rgba(255, 255, 255, 0);background-color: rgb(241, 203, 206);\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: bottom;width: auto;align-self: flex-end;flex: 0 0 auto;min-width: 5%;height: auto;padding-right: 5px;padding-left: 2px;\">\n<section style=\"text-align: justify;letter-spacing: 2px;color: rgb(239, 135, 135);font-size: 18px;\" powered-by=\"xiumi.us\">\n<p style=\"text-align: center;white-space: normal;\"><em>References:<\/em><br \/><\/p>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 0 0 0%;height: auto;\">\n<section style=\"transform: rotateZ(20deg);\" powered-by=\"xiumi.us\">\n<section style=\"\">\n<section style=\"display: inline-block;width: 20px;height: 20px;vertical-align: top;overflow: hidden;border-width: 1px;border-radius: 100%;border-style: solid;border-color: rgb(239, 135, 135);background-color: rgb(242, 203, 206);\">\n<section style=\"margin-top: 2px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: 15px;height: 15px;vertical-align: top;overflow: hidden;border-width: 3px;border-radius: 100%;border-style: solid;border-color: rgb(255, 255, 255) rgba(255, 255, 255, 0) rgba(255, 255, 255, 0);background-color: rgb(241, 203, 206);\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"text-align: left;justify-content: flex-start;display: flex;flex-flow: row nowrap;margin-top: 15px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: 100%;vertical-align: top;align-self: flex-start;flex: 0 0 auto;background-color: rgb(241, 187, 186);padding-bottom: 5px;\">\n<section style=\"display: flex;flex-flow: row nowrap;text-align: center;justify-content: center;margin-top: -10px;margin-bottom: -8px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;border-width: 0px;margin-left: -4px;\">\n<section style=\"display: inline-block;width: 100%;height: 25px;vertical-align: top;overflow: hidden;border-style: solid;border-width: 2px;border-radius: 50%;border-color: rgb(239, 135, 135) rgba(255, 255, 255, 0) rgba(255, 255, 255, 0);background-color: rgb(240, 187, 186);\" powered-by=\"xiumi.us\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;border-width: 0px;margin-top: -13px;margin-left: -3.0005%;z-index: 1;\">\n<section style=\"display: inline-block;width: 100%;height: 25px;vertical-align: top;overflow: hidden;border-style: solid;border-width: 2px;border-radius: 50%;border-color: rgba(255, 255, 255, 0) rgba(255, 255, 255, 0) rgb(239, 135, 135);background-color: rgba(255, 255, 255, 0);\" powered-by=\"xiumi.us\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;border-width: 0px;margin-left: -3.0005%;\">\n<section style=\"display: inline-block;width: 100%;height: 25px;vertical-align: top;overflow: hidden;border-style: solid;border-width: 2px;border-radius: 50%;border-color: rgb(239, 135, 135) rgba(255, 255, 255, 0) rgba(255, 255, 255, 0);background-color: rgb(240, 187, 186);\" powered-by=\"xiumi.us\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;border-width: 0px;margin-top: -13px;margin-right: -3.0005%;margin-left: -3.0005%;z-index: 1;\">\n<section style=\"display: inline-block;width: 100%;height: 25px;vertical-align: top;overflow: hidden;border-style: solid;border-width: 2px;border-radius: 50%;border-color: rgba(255, 255, 255, 0) rgba(255, 255, 255, 0) rgb(239, 135, 135);background-color: rgba(255, 255, 255, 0);\" powered-by=\"xiumi.us\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;border-width: 0px;\">\n<section style=\"display: inline-block;width: 100%;height: 25px;vertical-align: top;overflow: hidden;border-style: solid;border-width: 2px;border-radius: 50%;border-color: rgb(239, 135, 135) rgba(255, 255, 255, 0) rgba(255, 255, 255, 0);background-color: rgb(240, 187, 186);\" powered-by=\"xiumi.us\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;border-width: 0px;margin-top: -13px;margin-left: -3.0005%;z-index: 1;\">\n<section style=\"display: inline-block;width: 100%;height: 25px;vertical-align: top;overflow: hidden;border-style: solid;border-width: 2px;border-radius: 50%;border-color: rgba(255, 255, 255, 0) rgba(255, 255, 255, 0) rgb(239, 135, 135);background-color: rgba(255, 255, 255, 0);\" powered-by=\"xiumi.us\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;border-width: 0px;margin-left: -3.0005%;\">\n<section style=\"display: inline-block;width: 100%;height: 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