{"id":62913,"date":"2023-11-23T19:36:39","date_gmt":"2023-11-23T11:36:39","guid":{"rendered":"https:\/\/docs.pingcode.com\/?p=62913"},"modified":"2023-11-23T19:40:05","modified_gmt":"2023-11-23T11:40:05","slug":"%e7%ba%bf%e6%80%a7%e5%9b%9e%e5%bd%92%e4%b8%ad%e7%9a%84anova%e7%9a%84%e4%bd%9c%e7%94%a8%e6%98%af%e4%bb%80%e4%b9%88","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/62913.html","title":{"rendered":"\u7ebf\u6027\u56de\u5f52\u4e2d\u7684ANOVA\u7684\u4f5c\u7528\u662f\u4ec0\u4e48"},"content":{"rendered":"\n
\n

ANOVA\u662f\u4e00\u79cd\u7edf\u8ba1\u65b9\u6cd5\uff0c\u7528\u4e8e\u5206\u6790\u7ec4\u95f4\u5dee\u5f02\u662f\u5426\u663e\u8457\u3002\u5728\u7ebf\u6027\u56de\u5f52\u4e2d\uff0c\u5b83\u7528\u4e8e\u8bc4\u4f30\u4e0d\u540c\u81ea\u53d8\u91cf\uff08\u89e3\u91ca\u53d8\u91cf\uff09\u5bf9\u56e0\u53d8\u91cf\uff08\u76ee\u6807\u53d8\u91cf\uff09\u7684\u5f71\u54cd\u7a0b\u5ea6\u3002\u901a\u8fc7\u6bd4\u8f83\u53d8\u91cf\u95f4\u7684\u65b9\u5dee\uff0cANOVA\u53ef\u4ee5\u786e\u5b9a\u54ea\u4e9b\u81ea\u53d8\u91cf\u5bf9\u56e0\u53d8\u91cf\u5177\u6709\u663e\u8457\u5f71\u54cd\u3002\u672c\u6587\u5c06\u63a2\u8ba8ANOVA\u5728\u7ebf\u6027\u56de\u5f52\u4e2d\u7684\u4f5c\u7528\u53ca\u5176\u91cd\u8981\u6027\u3002<\/p>\n<\/blockquote>\n\n\n\n

\u4e00\u3001ANOVA\u5728\u7ebf\u6027\u56de\u5f52\u4e2d\u7684\u5e94\u7528<\/h2>\n\n\n\n

ANOVA\uff08\u65b9\u5dee\u5206\u6790\uff09\u5728\u7ebf\u6027\u56de\u5f52\u4e2d\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\u4ee5\u4e0b\u51e0\u4e2a\u65b9\u9762\uff1a<\/p>\n\n\n\n

1.\u65b9\u5dee\u5206\u89e3<\/strong><\/p>\n\n\n\n

\u5728\u7ebf\u6027\u56de\u5f52\u4e2d\uff0c\u5229\u7528ANOVA\u8fdb\u884c\u65b9\u5dee\u5206\u89e3\u53ef\u4ee5\u5c06\u603b\u4f53\u65b9\u5dee\u5206\u89e3\u4e3a\u4e24\u90e8\u5206\uff1a\u4e00\u4e2a\u662f\u7531\u6a21\u578b\u89e3\u91ca\u7684\u65b9\u5dee\uff0c\u53e6\u4e00\u4e2a\u662f\u6b8b\u5dee\uff08\u672a\u88ab\u6a21\u578b\u89e3\u91ca\u7684\u65b9\u5dee\uff09\u3002\u8fd9\u79cd\u5206\u89e3\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u6a21\u578b\u4e2d\u5404\u4e2a\u56e0\u7d20\u5bf9\u4e8e\u56e0\u53d8\u91cf\u53d8\u5316\u7684\u8d21\u732e\u7a0b\u5ea6\uff0c\u4ece\u800c\u786e\u8ba4\u54ea\u4e9b\u56e0\u7d20\u5bf9\u76ee\u6807\u53d8\u91cf\u5f71\u54cd\u6700\u5927\u3002<\/p>\n\n\n\n

2.\u5224\u65ad\u53d8\u91cf\u663e\u8457\u6027<\/strong><\/p>\n\n\n\n

ANOVA\u8fd8\u7528\u4e8e\u8bc4\u4f30\u5404\u4e2a\u81ea\u53d8\u91cf\u7684\u663e\u8457\u6027\u3002\u901a\u8fc7\u68c0\u9a8c\u5404\u4e2a\u53d8\u91cf\u7684F\u7edf\u8ba1\u91cf\uff08F-statistic\uff09\uff0c\u53ef\u4ee5\u786e\u5b9a\u54ea\u4e9b\u81ea\u53d8\u91cf\u5bf9\u56e0\u53d8\u91cf\u6709\u7740\u663e\u8457\u7684\u89e3\u91ca\u80fd\u529b\u3002\u8fd9\u6709\u52a9\u4e8e\u7cbe\u7b80\u6a21\u578b\uff0c\u5254\u9664\u5bf9\u56e0\u53d8\u91cf\u5f71\u54cd\u8f83\u5c0f\u7684\u53d8\u91cf\uff0c\u63d0\u9ad8\u6a21\u578b\u9884\u6d4b\u7684\u51c6\u786e\u6027\u3002<\/p>\n\n\n\n

3.\u6a21\u578b\u62df\u5408\u4f18\u5ea6<\/strong><\/p>\n\n\n\n

ANOVA\u53ef\u7528\u4e8e\u8bc4\u4f30\u6574\u4f53\u6a21\u578b\u7684\u62df\u5408\u4f18\u5ea6\u3002\u901a\u8fc7\u6bd4\u8f83\u62df\u5408\u6a21\u578b\u4e0e\u539f\u59cb\u6570\u636e\u7684\u5dee\u5f02\uff0c\u53ef\u4ee5\u8ba1\u7b97\u51fa\u62df\u5408\u4f18\u5ea6\u6307\u6807\uff08\u6bd4\u5982R-squared\uff09\uff0c\u4ece\u800c\u786e\u5b9a\u6a21\u578b\u662f\u5426\u8db3\u591f\u89e3\u91ca\u56e0\u53d8\u91cf\u7684\u53d8\u5316\u3002\u8fd9\u5bf9\u4e8e\u8bc4\u4f30\u6a21\u578b\u7684\u53ef\u9760\u6027\u548c\u9002\u7528\u6027\u81f3\u5173\u91cd\u8981\u3002<\/p>\n\n\n\n

\u4e09\u3001ANOVA\u7684\u91cd\u8981\u6027<\/h2>\n\n\n\n

\u5728\u7ebf\u6027\u56de\u5f52\u5206\u6790\u4e2d\uff0cANOVA\uff08\u65b9\u5dee\u5206\u6790\uff09\u4e0d\u4ec5\u4ec5\u662f\u4e00\u79cd\u7528\u4e8e\u6bd4\u8f83\u7ec4\u95f4\u5dee\u5f02\u7684\u5de5\u5177\uff0c\u5b83\u8fd8\u5177\u6709\u4ee5\u4e0b\u91cd\u8981\u6027\uff1a<\/p>\n\n\n\n

1.\u5e2e\u52a9\u7406\u89e3\u56e0\u679c\u5173\u7cfb<\/strong><\/p>\n\n\n\n

ANOVA\u6709\u52a9\u4e8e\u7406\u89e3\u81ea\u53d8\u91cf\u4e0e\u56e0\u53d8\u91cf\u4e4b\u95f4\u7684\u56e0\u679c\u5173\u7cfb\u3002\u901a\u8fc7\u5206\u6790\u53d8\u91cf\u95f4\u7684\u65b9\u5dee\uff0c\u53ef\u4ee5\u786e\u5b9a\u54ea\u4e9b\u56e0\u7d20\u5bf9\u7ed3\u679c\u7684\u5f71\u54cd\u6700\u5927\uff0c\u4e3a\u8fdb\u4e00\u6b65\u7814\u7a76\u63d0\u4f9b\u91cd\u8981\u7ebf\u7d22\u3002<\/p>\n\n\n\n

2.\u4f18\u5316\u6a21\u578b<\/strong><\/p>\n\n\n\n

\u901a\u8fc7ANOVA\u5206\u6790\uff0c\u53ef\u4ee5\u4f18\u5316\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u5254\u9664\u4e0d\u663e\u8457\u7684\u53d8\u91cf\uff0c\u63d0\u9ad8\u6a21\u578b\u9884\u6d4b\u7684\u51c6\u786e\u6027\u548c\u53ef\u89e3\u91ca\u6027\u3002\u8fd9\u6709\u52a9\u4e8e\u5efa\u7acb\u66f4\u7cbe\u786e\u7684\u9884\u6d4b\u6a21\u578b\uff0c\u66f4\u597d\u5730\u89e3\u91ca\u6570\u636e\u80cc\u540e\u7684\u89c4\u5f8b\u3002<\/p>\n\n\n\n

3.\u51b3\u7b56\u652f\u6301<\/strong><\/p>\n\n\n\n

\u5bf9\u4e8e\u51b3\u7b56\u8005\u6765\u8bf4\uff0c\u4e86\u89e3ANOVA\u7684\u7ed3\u679c\u53ef\u4ee5\u5e2e\u52a9\u4ed6\u4eec\u505a\u51fa\u57fa\u4e8e\u6570\u636e\u7684\u51b3\u7b56\u3002\u6839\u636e\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u5f3a\u5ea6\u548c\u663e\u8457\u6027\uff0c\u53ef\u4ee5\u5236\u5b9a\u66f4\u79d1\u5b66\u7684\u51b3\u7b56\u65b9\u6848\u3002<\/p>\n\n\n\n

\u603b\u800c\u8a00\u4e4b\uff0c\u5728\u7ebf\u6027\u56de\u5f52\u5206\u6790\u4e2d\uff0cANOVA\u626e\u6f14\u7740\u4e0d\u53ef\u6216\u7f3a\u7684\u89d2\u8272\u3002\u5b83\u4e0d\u4ec5\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u8fd8\u80fd\u4f18\u5316\u6a21\u578b\uff0c\u652f\u6301\u51b3\u7b56\u5236\u5b9a\u3002\u901a\u8fc7\u5bf9\u65b9\u5dee\u7684\u5206\u89e3\u548c\u53d8\u91cf\u663e\u8457\u6027\u7684\u68c0\u9a8c\uff0cANOVA\u4e3a\u6570\u636e\u5206\u6790\u548c\u5efa\u6a21\u63d0\u4f9b\u4e86\u91cd\u8981\u7684\u7edf\u8ba1\u5de5\u5177\uff0c\u5bf9\u4e8e\u89e3\u91ca\u548c\u9884\u6d4b\u56e0\u53d8\u91cf\u7684\u53d8\u5316\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5145\u5206\u7406\u89e3\u548c\u8fd0\u7528ANOVA\u53ef\u4ee5\u63d0\u9ad8\u5bf9\u6570\u636e\u7684\u6df1\u5165\u7406\u89e3\uff0c\u5e76\u6307\u5bfc\u5b9e\u8df5\u4e2d\u7684\u51b3\u7b56\u548c\u884c\u52a8\u3002<\/p>\n\n\n\n

\"\u7ebf\u6027\u56de\u5f52\u4e2d\u7684ANOVA\u7684\u4f5c\u7528\u662f\u4ec0\u4e48\"<\/p>\n\n\n\n

\u5e38\u89c1\u95ee\u7b54\uff1a<\/strong><\/p>\n\n\n\n

    \n
  • \u95ee\uff1aANOVA\u5982\u4f55\u5e2e\u52a9\u7406\u89e3\u56e0\u679c\u5173\u7cfb\uff1f<\/li>\n\n\n\n
  • \u7b54\uff1a\u901a\u8fc7\u5206\u6790\u53d8\u91cf\u95f4\u7684\u65b9\u5dee\uff0cANOVA\u80fd\u591f\u786e\u5b9a\u81ea\u53d8\u91cf\u4e0e\u56e0\u53d8\u91cf\u4e4b\u95f4\u7684\u56e0\u679c\u5173\u7cfb\u3002\u5b83\u8bc4\u4f30\u5404\u4e2a\u81ea\u53d8\u91cf\u5bf9\u56e0\u53d8\u91cf\u7684\u5f71\u54cd\u7a0b\u5ea6\uff0c\u6709\u52a9\u4e8e\u8bc6\u522b\u54ea\u4e9b\u56e0\u7d20\u5bf9\u7ed3\u679c\u5177\u6709\u663e\u8457\u5f71\u54cd\uff0c\u4e3a\u56e0\u679c\u5173\u7cfb\u63d0\u4f9b\u91cd\u8981\u7ebf\u7d22\u3002<\/li>\n<\/ul>\n\n\n\n
      \n
    • \u95ee\uff1aANOVA\u5982\u4f55\u5728\u6a21\u578b\u4f18\u5316\u4e2d\u53d1\u6325\u4f5c\u7528\uff1f<\/li>\n\n\n\n
    • \u7b54\uff1a\u5728\u7ebf\u6027\u56de\u5f52\u5206\u6790\u4e2d\uff0cANOVA\u7528\u4e8e\u8bc4\u4f30\u81ea\u53d8\u91cf\u7684\u663e\u8457\u6027\uff0c\u5254\u9664\u5bf9\u56e0\u53d8\u91cf\u5f71\u54cd\u8f83\u5c0f\u7684\u53d8\u91cf\uff0c\u4ece\u800c\u4f18\u5316\u6a21\u578b\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u53ef\u4ee5\u5efa\u7acb\u66f4\u7cbe\u786e\u3001\u66f4\u53ef\u9760\u7684\u9884\u6d4b\u6a21\u578b\uff0c\u63d0\u9ad8\u6a21\u578b\u7684\u89e3\u91ca\u80fd\u529b\u548c\u9884\u6d4b\u51c6\u786e\u6027\u3002<\/li>\n<\/ul>\n\n\n\n
        \n
      • \u95ee\uff1aANOVA\u7ed3\u679c\u5982\u4f55\u652f\u6301\u51b3\u7b56\u5236\u5b9a\uff1f<\/li>\n\n\n\n
      • \u7b54\uff1a\u5206\u6790ANOVA\u7684\u7ed3\u679c\u53ef\u4ee5\u4e3a\u51b3\u7b56\u8005\u63d0\u4f9b\u57fa\u4e8e\u6570\u636e\u7684\u652f\u6301\u3002\u4e86\u89e3\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u5f3a\u5ea6\u548c\u663e\u8457\u6027\uff0c\u6709\u52a9\u4e8e\u5236\u5b9a\u66f4\u79d1\u5b66\u7684\u51b3\u7b56\u65b9\u6848\u3002ANOVA\u7ed3\u679c\u80fd\u591f\u6307\u5bfc\u51b3\u7b56\u8005\u5728\u9762\u5bf9\u4e0d\u540c\u56e0\u7d20\u65f6\u505a\u51fa\u66f4\u660e\u667a\u7684\u9009\u62e9\u3002<\/li>\n<\/ul>\n\n\n\n
          \n
        • \u95ee\uff1aANOVA\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u6709\u4f55\u91cd\u8981\u6027\uff1f<\/li>\n\n\n\n
        • \u7b54\uff1a\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5145\u5206\u7406\u89e3\u548c\u5e94\u7528ANOVA\u53ef\u4ee5\u5e2e\u52a9\u5206\u6790\u8005\u66f4\u6df1\u5165\u5730\u7406\u89e3\u6570\u636e\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4f18\u5316\u6a21\u578b\u5e76\u4e3a\u51b3\u7b56\u63d0\u4f9b\u4f9d\u636e\u3002\u5b83\u662f\u8bc4\u4f30\u56e0\u7d20\u5f71\u54cd\u3001\u4f18\u5316\u6a21\u578b\u548c\u652f\u6301\u6570\u636e\u9a71\u52a8\u51b3\u7b56\u7684\u91cd\u8981\u7edf\u8ba1\u5de5\u5177\uff0c\u5728\u6570\u636e\u5206\u6790\u548c\u5efa\u6a21\u4e2d\u5177\u6709\u4e0d\u53ef\u6216\u7f3a\u7684\u4f5c\u7528\u3002\u3000\u3000<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"ANOVA\u662f\u4e00\u79cd\u7edf\u8ba1\u65b9\u6cd5\uff0c\u7528\u4e8e\u5206\u6790\u7ec4\u95f4\u5dee\u5f02\u662f\u5426\u663e\u8457\u3002\u5728\u7ebf\u6027\u56de\u5f52\u4e2d\uff0c\u5b83\u7528\u4e8e\u8bc4\u4f30\u4e0d\u540c\u81ea\u53d8\u91cf\uff08\u89e3\u91ca\u53d8\u91cf\uff09\u5bf9\u56e0\u53d8\u91cf\uff08\u76ee […]","protected":false},"author":3,"featured_media":62919,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[3407,1165],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/62913"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=62913"}],"version-history":[{"count":0,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/62913\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/62919"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=62913"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=62913"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=62913"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}