{"id":24852,"date":"2024-01-17T10:35:20","date_gmt":"2024-01-17T02:35:20","guid":{"rendered":"http:\/\/www.biocloudservice.com\/wordpress\/?p=24852"},"modified":"2024-01-17T10:35:21","modified_gmt":"2024-01-17T02:35:21","slug":"%e4%b8%80%e5%88%86%e9%92%9f%e5%b8%a6%e4%bd%a0%e4%ba%86%e8%a7%a3cooks-distance%ef%bc%8c%e6%95%99%e4%bd%a0%e5%a6%82%e4%bd%95%e5%88%86%e6%9e%90%e8%af%84%e4%bc%b0%e8%a7%82%e6%b5%8b%e5%80%bc","status":"publish","type":"post","link":"http:\/\/www.biocloudservice.com\/wordpress\/?p=24852","title":{"rendered":"\u4e00\u5206\u949f\u5e26\u4f60\u4e86\u89e3Cook\u2019s\u00a0Distance\uff0c\u6559\u4f60\u5982\u4f55\u5206\u6790\u8bc4\u4f30\u89c2\u6d4b\u503c\u5bf9\u56de\u5f52\u5206\u6790\u7ed3\u679c\u7684\u5f71\u54cd"},"content":{"rendered":"

Cooks\u8ddd\u79bb\uff08Cooks distance\uff09\u662f\u4e00\u79cd\u7528\u4e8e\u8bc6\u522b\u5728\u7edf\u8ba1\u56de\u5f52\u5206\u6790\u4e2d\u5177\u6709\u9ad8\u5f71\u54cd\u529b\u7684\u89c2\u6d4b\u503c\u7684\u7edf\u8ba1\u91cf\u3002\u5b83\u662f\u7531\u7edf\u8ba1\u5b66\u5bb6R. Dennis Cook\u4e8e1977\u5e74\u63d0\u51fa\u7684\uff0c\u7528\u4e8e\u8bc4\u4f30\u7edf\u8ba1\u6a21\u578b\u4e2d\u7684\u5f02\u5e38\u503c\u548c\u9ad8\u6760\u6746\u70b9\u3002<\/p>\n

\u5728\u7edf\u8ba1\u56de\u5f52\u5206\u6790\u4e2d\uff0c\u6211\u4eec\u5efa\u7acb\u4e00\u4e2a\u6a21\u578b\u6765\u63cf\u8ff0\u81ea\u53d8\u91cf\u4e0e\u56e0\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002Cooks\u8ddd\u79bb\u8861\u91cf\u4e86\u5728\u6a21\u578b\u4e2d\u79fb\u9664\u67d0\u4e2a\u89c2\u6d4b\u503c\u540e\uff0c\u5bf9\u6a21\u578b\u53c2\u6570\u4f30\u8ba1\u4ea7\u751f\u7684\u53d8\u5316\u5927\u5c0f\u3002\u5177\u4f53\u800c\u8a00\uff0cCooks\u8ddd\u79bb\u8861\u91cf\u4e86\u89c2\u6d4b\u503c\u5bf9\u4e8e\u56de\u5f52\u5206\u6790\u4e2d\u7684\u53c2\u6570\u4f30\u8ba1\u503c\u7684\u5f71\u54cd\u7a0b\u5ea6\u3002\u5982\u679c\u67d0\u4e2a\u89c2\u6d4b\u503c\u5bf9\u4e8e\u53c2\u6570\u4f30\u8ba1\u6709\u7740\u5f88\u5927\u7684\u5f71\u54cd\uff0c\u90a3\u4e48\u5b83\u7684Cooks\u8ddd\u79bb\u5c06\u4f1a\u5f88\u5927\u3002<\/p>\n

Cooks\u8ddd\u79bb\u7684\u8ba1\u7b97\u65b9\u5f0f\u76f8\u5bf9\u590d\u6742\uff0c\u5b83\u57fa\u4e8e\u56de\u5f52\u5206\u6790\u7684\u6b8b\u5dee\u548c\u6760\u6746\u503c\u3002\u6b8b\u5dee\u662f\u89c2\u6d4b\u503c\u4e0e\u6a21\u578b\u9884\u6d4b\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\uff0c\u6760\u6746\u503c\u662f\u53cd\u6620\u89c2\u6d4b\u503c\u5bf9\u4e8e\u6a21\u578b\u53c2\u6570\u4f30\u8ba1\u5f71\u54cd\u7684\u6307\u6807\u3002Cooks\u8ddd\u79bb\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n

Cooks\u8ddd\u79bb = (\u6b8b\u5dee\u5dee\u5f02 \/ (p * \u5747\u65b9\u6b8b\u5dee)) * (\u6760\u6746\u503c \/ (1 – \u6760\u6746\u503c)^2)<\/p>\n

\u5176\u4e2d\uff0cp\u662f\u56de\u5f52\u6a21\u578b\u7684\u53c2\u6570\u4e2a\u6570\uff0c\u5747\u65b9\u6b8b\u5dee\u662f\u6b8b\u5dee\u7684\u5e73\u65b9\u548c\u9664\u4ee5\u81ea\u7531\u5ea6\u7684\u5747\u503c\u3002Cooks\u8ddd\u79bb\u7684\u503c\u901a\u5e38\u5927\u4e8e0\uff0c\u53ef\u4ee5\u88ab\u770b\u4f5c\u662f\u4e00\u4e2a\u5ea6\u91cf\u89c2\u6d4b\u503c\u5f71\u54cd\u529b\u7684\u6307\u6807\u3002\u901a\u5e38\u60c5\u51b5\u4e0b\uff0c\u5982\u679c\u67d0\u4e2a\u89c2\u6d4b\u503c\u7684Cooks\u8ddd\u79bb\u5927\u4e8e\u67d0\u4e2a\u9608\u503c\uff08\u59824\/n\uff0c\u5176\u4e2dn\u662f\u89c2\u6d4b\u503c\u7684\u4e2a\u6570\uff09\uff0c\u5219\u53ef\u4ee5\u8ba4\u4e3a\u8be5\u89c2\u6d4b\u503c\u5bf9\u4e8e\u56de\u5f52\u6a21\u578b\u7684\u53c2\u6570\u4f30\u8ba1\u5177\u6709\u663e\u8457\u5f71\u54cd\u3002<\/p>\n

\u5177\u4f53\u8ba1\u7b97Cooks\u8ddd\u79bb\u7684\u65b9\u6cd5\u5982\u4e0b\uff1a<\/p>\n

1. \u9996\u5148\uff0c\u6211\u4eec\u62df\u5408\u4e00\u4e2a\u5b8c\u6574\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u5e76\u5f97\u5230\u6a21\u578b\u7684\u53c2\u6570\u4f30\u8ba1\u503c\u3002<\/p>\n

2. \u7136\u540e\uff0c\u5206\u522b\u8ba1\u7b97\u5728\u5305\u542b\u548c\u4e0d\u5305\u542b\u67d0\u4e2a\u89c2\u6d4b\u503c\u7684\u60c5\u51b5\u4e0b\uff0c\u91cd\u65b0\u4f30\u8ba1\u6a21\u578b\u53c2\u6570\u5f97\u5230\u7684\u4e24\u7ec4\u53c2\u6570\u4f30\u8ba1\u503c\u3002<\/p>\n

3. \u63a5\u4e0b\u6765\uff0c\u8ba1\u7b97\u6bcf\u4e2a\u89c2\u6d4b\u503c\u7684\u6b8b\u5dee\uff0c\u5373\u89c2\u6d4b\u503c\u7684\u5b9e\u9645\u503c\u4e0e\u6839\u636e\u6a21\u578b\u53c2\u6570\u4f30\u8ba1\u503c\u9884\u6d4b\u5f97\u5230\u7684\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/p>\n

4. \u7136\u540e\uff0c\u8ba1\u7b97\u5728\u4e0d\u5305\u542b\u8be5\u89c2\u6d4b\u503c\u7684\u60c5\u51b5\u4e0b\u7684\u8bef\u5dee\u5e73\u65b9\u548c\uff08\u6b8b\u5dee\u5e73\u65b9\u548c\uff09\uff0c\u8bb0\u4f5cSSE\uff08Sum of Squared Errors\uff09\u3002<\/p>\n

5. \u8ba1\u7b97\u5728\u5305\u542b\u8be5\u89c2\u6d4b\u503c\u7684\u60c5\u51b5\u4e0b\u7684\u8bef\u5dee\u5e73\u65b9\u548c\uff0c\u8bb0\u4f5cSSE_i\u3002<\/p>\n

6. \u6700\u540e\uff0c\u8ba1\u7b97Cooks\u8ddd\u79bb\uff0c\u5b83\u662fSSE_i\u548cSSE\u4e4b\u95f4\u7684\u6bd4\u503c\uff0c\u4e58\u4ee5\u89c2\u6d4b\u503c\u4e2a\u6570\u7684\u6bd4\u503c\uff0c\u5373\uff1a<\/p>\n

Cooks\u8ddd\u79bb = SSE_i \/ (p * SSE)\uff0c\u5176\u4e2dp\u662f\u6a21\u578b\u4e2d\u7684\u53c2\u6570\u4e2a\u6570\u3002<\/p>\n

\u901a\u8fc7\u68c0\u67e5Cooks\u8ddd\u79bb\uff0c\u53ef\u4ee5\u8bc6\u522b\u51fa\u5bf9\u56de\u5f52\u6a21\u578b\u62df\u5408\u6709\u91cd\u5927\u5f71\u54cd\u7684\u89c2\u6d4b\u503c\uff0c\u5e76\u5bf9\u5176\u8fdb\u884c\u8fdb\u4e00\u6b65\u7684\u5206\u6790\u548c\u5904\u7406\uff0c\u5982\u68c0\u67e5\u6570\u636e\u6536\u96c6\u6216\u6d4b\u91cf\u8fc7\u7a0b\u4e2d\u7684\u9519\u8bef\uff0c\u6216\u8005\u8003\u8651\u4f7f\u7528\u9c81\u68d2\u56de\u5f52\u65b9\u6cd5\u6765\u51cf\u5f31\u5176\u5f71\u54cd\u3002<\/p>\n

Cooks\u8ddd\u79bb\u7684\u5e94\u7528\u5305\u62ec\uff1a<\/p>\n

    \n
  1. \u5f02\u5e38\u503c\u68c0\u6d4b\uff1aCooks\u8ddd\u79bb\u53ef\u4ee5\u7528\u4e8e\u8bc6\u522b\u5728\u56de\u5f52\u5206\u6790\u4e2d\u5177\u6709\u5f02\u5e38\u503c\u7684\u89c2\u6d4b\u503c\u3002<\/li>\n
  2. \u9ad8\u6760\u6746\u70b9\u68c0\u6d4b\uff1aCooks\u8ddd\u79bb\u53ef\u4ee5\u7528\u4e8e\u8bc6\u522b\u5bf9\u4e8e\u56de\u5f52\u6a21\u578b\u53c2\u6570\u4f30\u8ba1\u5177\u6709\u9ad8\u6760\u6746\u5f71\u54cd\u7684\u89c2\u6d4b\u503c\u3002<\/li>\n
  3. \u6a21\u578b\u62df\u5408\u8bc4\u4f30\uff1aCooks\u8ddd\u79bb\u53ef\u4ee5\u7528\u4e8e\u8bc4\u4f30\u5728\u6a21\u578b\u4e2d\u79fb\u9664\u67d0\u4e2a\u89c2\u6d4b\u503c\u540e\uff0c\u5bf9\u4e8e\u53c2\u6570\u4f30\u8ba1\u7684\u7a33\u5b9a\u6027\u548c\u51c6\u786e\u6027\u7684\u5f71\u54cd\u3002<\/li>\n<\/ol>\n

    \u793a\u4f8b\uff1a<\/p>\n

    \u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u751f\u7269\u5b66\u5b9e\u9a8c\u6570\u636e\u96c6\uff0c\u5176\u4e2d\u5305\u542b\u57fa\u56e0\u8868\u8fbe\u6c34\u5e73\u548c\u76f8\u5173\u7684\u751f\u7269\u5b66\u7279\u5f81\u3002\u6211\u4eec\u60f3\u8981\u901a\u8fc7\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u6765\u7814\u7a76\u57fa\u56e0\u8868\u8fbe\u4e0e\u751f\u7269\u5b66\u7279\u5f81\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u5e76\u4f7f\u7528Cooks\u8ddd\u79bb\u6765\u68c0\u6d4b\u5bf9\u6a21\u578b\u62df\u5408\u4ea7\u751f\u91cd\u5927\u5f71\u54cd\u7684\u89c2\u6d4b\u503c\u3002<\/p>\n

    \u4e0b\u9762\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\uff0c\u5c55\u793a\u5982\u4f55\u4f7f\u7528R\u8bed\u8a00\u4e2d\u7684lm()\u51fd\u6570\u548ccooks.distance()\u51fd\u6570\u6765\u8ba1\u7b97Cooks\u8ddd\u79bb\uff1a<\/p>\n

    # \u5047\u8bbe\u6211\u4eec\u7684\u6570\u636e\u96c6\u5305\u542b\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u548c\u751f\u7269\u5b66\u7279\u5f81<\/p>\n

    > gene_expression <- c(2.5, 3.2, 2.8, 4.0, 3.5)<\/p>\n

    > biological_feature <- c(1.8, 2.5, 2.0, 3.7, 2.9)<\/p>\n

    # \u521b\u5efa\u6570\u636e\u6846\u5bf9\u8c61<\/p>\n

    > data <- data.frame(gene_expression, biological_feature)<\/p>\n

    # \u62df\u5408\u7ebf\u6027\u56de\u5f52\u6a21\u578b<\/p>\n

    > model <- lm(gene_expression ~ biological_feature, data = data)<\/p>\n

    # \u8ba1\u7b97Cooks\u8ddd\u79bb<\/p>\n

    > cooks_distance <- cooks.distance(model)<\/p>\n

    # \u6253\u5370\u6bcf\u4e2a\u89c2\u6d4b\u503c\u7684Cooks\u8ddd\u79bb<\/p>\n

    > print(cooks_distance)<\/p>\n

    \"Screenshot<\/p>\n

    \u4e0a\u8ff0\u4ee3\u7801\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u521b\u5efa\u4e86\u5305\u542b\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u548c\u751f\u7269\u5b66\u7279\u5f81\u7684\u6570\u636e\u6846\u5bf9\u8c61\u3002\u7136\u540e\uff0c\u4f7f\u7528lm()\u51fd\u6570\u62df\u5408\u4e86\u4e00\u4e2a\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u5176\u4e2d\u57fa\u56e0\u8868\u8fbe\u6c34\u5e73\u4f5c\u4e3a\u54cd\u5e94\u53d8\u91cf\uff0c\u751f\u7269\u5b66\u7279\u5f81\u4f5c\u4e3a\u9884\u6d4b\u53d8\u91cf\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4f7f\u7528cooks.distance()\u51fd\u6570\u8ba1\u7b97\u4e86\u6bcf\u4e2a\u89c2\u6d4b\u503c\u7684Cooks\u8ddd\u79bb\uff0c\u5e76\u5c06\u7ed3\u679c\u5b58\u50a8\u5728cooks_distance\u53d8\u91cf\u4e2d\u3002\u6700\u540e\uff0c\u6211\u4eec\u6253\u5370\u51fa\u6bcf\u4e2a\u89c2\u6d4b\u503c\u7684Cooks\u8ddd\u79bb\u3002<\/p>\n

    \u6839\u636eCooks\u8ddd\u79bb\u7684\u503c\uff0c\u4f60\u53ef\u4ee5\u6839\u636e\u7ecf\u9a8c\u8bbe\u5b9a\u4e00\u4e2a\u9608\u503c\uff0c\u4ee5\u786e\u5b9a\u662f\u5426\u5b58\u5728\u5bf9\u6a21\u578b\u62df\u5408\u4ea7\u751f\u91cd\u5927\u5f71\u54cd\u7684\u89c2\u6d4b\u503c\u3002\u5982\u679c\u67d0\u4e2a\u89c2\u6d4b\u503c\u7684Cooks\u8ddd\u79bb\u8d85\u8fc7\u4e86\u8bbe\u5b9a\u7684\u9608\u503c\uff0c\u53ef\u4ee5\u8fdb\u4e00\u6b65\u68c0\u67e5\u8be5\u89c2\u6d4b\u503c\u7684\u6570\u636e\uff0c\u4ee5\u786e\u5b9a\u5176\u662f\u5426\u4e3a\u5f02\u5e38\u503c\u6216\u79bb\u7fa4\u70b9\uff0c\u5e76\u6839\u636e\u9700\u8981\u91c7\u53d6\u8fdb\u4e00\u6b65\u7684\u6570\u636e\u5206\u6790\u63aa\u65bd\u3002<\/p>\n

    \u4ee5\u4e0a\u5c31\u662f\u5bf9Cooks Distance\u7684\u7b80\u5355\u4ecb\u7ecd\u548c\u4e3e\u4f8b\u8bf4\u660e\u5566\uff0c\u8fd9\u53ea\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u6982\u62ec\uff0c\u5bf9\u4e8e\u5177\u4f53\u4f8b\u5b50\u8fd8\u662f\u8981\u5177\u4f53\u5206\u6790\u4f7f\u7528\u6b63\u786e\u7684\u65b9\u6cd5\uff0c\u5728\u751f\u7269\u5b66\u7684\u9886\u57df\u8fd8\u662f\u4f1a\u7ecf\u5e38\u7528\u5230Cooks\u8ddd\u79bb\u7684\uff0c\u6240\u4ee5\u5927\u5bb6\u4e5f\u53ef\u4ee5\u591a\u591a\u8fd0\u7528\u5230\u5b9e\u9645\u5de5\u4f5c\u4e2d\u4f1a\u662f\u4e00\u4e2a\u5f88\u597d\u7684\u5206\u6790\u5de5\u5177\u3002<\/p>\n

    \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\u679c\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<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

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