{"id":55918,"date":"2025-02-12T09:20:42","date_gmt":"2025-02-12T12:20:42","guid":{"rendered":"https:\/\/mindthegraph.com\/blog\/?p=55918"},"modified":"2025-02-25T09:25:41","modified_gmt":"2025-02-25T12:25:41","slug":"analysis-of-variance","status":"publish","type":"post","link":"https:\/\/mindthegraph.com\/blog\/zh\/analysis-of-variance\/","title":{"rendered":"\u638c\u63e1\u65b9\u5dee\u5206\u6790\uff1a\u6280\u672f\u4e0e\u5e94\u7528"},"content":{"rendered":"<p>\u65b9\u5dee\u5206\u6790\uff08ANOVA\uff09\u662f\u4e00\u79cd\u57fa\u672c\u7684\u7edf\u8ba1\u65b9\u6cd5\uff0c\u7528\u4e8e\u5206\u6790\u7ec4\u95f4\u5747\u503c\u7684\u5dee\u5f02\uff0c\u662f\u5fc3\u7406\u5b66\u3001\u751f\u7269\u5b66\u548c\u793e\u4f1a\u79d1\u5b66\u7b49\u9886\u57df\u7814\u7a76\u7684\u91cd\u8981\u5de5\u5177\u3002\u5b83\u4f7f\u7814\u7a76\u4eba\u5458\u80fd\u591f\u786e\u5b9a\u5e73\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u662f\u5426\u5177\u6709\u7edf\u8ba1\u5b66\u610f\u4e49\u3002\u672c\u6307\u5357\u5c06\u63a2\u8ba8\u65b9\u5dee\u5206\u6790\u7684\u5de5\u4f5c\u539f\u7406\u3001\u7c7b\u578b\u4ee5\u53ca\u4e3a\u4ec0\u4e48\u5b83\u5bf9\u4e8e\u51c6\u786e\u89e3\u91ca\u6570\u636e\u81f3\u5173\u91cd\u8981\u3002<\/p>\n\n\n\n<h2>\u4e86\u89e3\u65b9\u5dee\u5206\u6790\uff1a\u7edf\u8ba1\u5fc5\u8bfb<\/h2>\n\n\n\n<p>\u65b9\u5dee\u5206\u6790\u662f\u4e00\u79cd\u7edf\u8ba1\u6280\u672f\uff0c\u7528\u4e8e\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u7684\u5e73\u5747\u503c\uff0c\u627e\u51fa\u663e\u8457\u5dee\u5f02\uff0c\u5e76\u6df1\u5165\u4e86\u89e3\u7ec4\u5185\u548c\u7ec4\u95f4\u7684\u5dee\u5f02\u3002\u5b83\u6709\u52a9\u4e8e\u7814\u7a76\u4eba\u5458\u4e86\u89e3\u5404\u7ec4\u5747\u503c\u7684\u53d8\u5f02\u662f\u5426\u5927\u4e8e\u5404\u7ec4\u5185\u90e8\u7684\u53d8\u5f02\uff0c\u8fd9\u8868\u660e\u81f3\u5c11\u6709\u4e00\u4e2a\u7ec4\u7684\u5747\u503c\u4e0e\u5176\u4ed6\u7ec4\u4e0d\u540c\u3002\u65b9\u5dee\u5206\u6790\u7684\u539f\u7406\u662f\u5c06\u603b\u53d8\u5f02\u6027\u5212\u5206\u4e3a\u53ef\u5f52\u56e0\u4e8e\u4e0d\u540c\u6765\u6e90\u7684\u7ec4\u6210\u90e8\u5206\uff0c\u4ece\u800c\u4f7f\u7814\u7a76\u4eba\u5458\u80fd\u591f\u68c0\u9a8c\u6709\u5173\u7ec4\u95f4\u5dee\u5f02\u7684\u5047\u8bbe\u3002\u65b9\u5dee\u5206\u6790\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5fc3\u7406\u5b66\u3001\u751f\u7269\u5b66\u548c\u793e\u4f1a\u79d1\u5b66\u7b49\u5404\u4e2a\u9886\u57df\uff0c\u4f7f\u7814\u7a76\u4eba\u5458\u80fd\u591f\u6839\u636e\u6570\u636e\u5206\u6790\u7ed3\u679c\u505a\u51fa\u660e\u667a\u7684\u51b3\u7b56\u3002<\/p>\n\n\n\n<p>\u8981\u6df1\u5165\u4e86\u89e3\u65b9\u5dee\u5206\u6790\u5982\u4f55\u8bc6\u522b\u7279\u5b9a\u7684\u7fa4\u4f53\u5dee\u5f02\uff0c\u8bf7\u67e5\u9605<a href=\"https:\/\/mindthegraph.com\/blog\/post-hoc-testing-anova\/\"> \u65b9\u5dee\u5206\u6790\u4e2d\u7684\u4e8b\u540e\u68c0\u9a8c<\/a>.<\/p>\n\n\n\n<h2>\u4e3a\u4ec0\u4e48\u8981\u8fdb\u884c\u65b9\u5dee\u5206\u6790\u6d4b\u8bd5\uff1f<\/h2>\n\n\n\n<p>\u8fdb\u884c\u65b9\u5dee\u5206\u6790\u6709\u51e0\u4e2a\u539f\u56e0\u3002\u539f\u56e0\u4e4b\u4e00\u662f\u540c\u65f6\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u7684\u5747\u503c\uff0c\u800c\u4e0d\u662f\u8fdb\u884c\u5927\u91cf\u7684 t \u68c0\u9a8c\uff0c\u56e0\u4e3a t \u68c0\u9a8c\u4f1a\u5bfc\u81f4 I 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Levene \u68c0\u9a8c\u3002\u89c2\u5bdf\u7ed3\u679c\u4e5f\u9700\u8981\u76f8\u4e92\u72ec\u7acb\uff0c\u6362\u53e5\u8bdd\u8bf4\uff0c\u4ece\u4e00\u4e2a\u53c2\u4e0e\u8005\u6216\u5b9e\u9a8c\u5355\u4f4d\u6536\u96c6\u5230\u7684\u6570\u636e\u4e0d\u5e94\u5f71\u54cd\u53e6\u4e00\u4e2a\u53c2\u4e0e\u8005\u6216\u5b9e\u9a8c\u5355\u4f4d\u7684\u6570\u636e\u3002\u6700\u540e\u4f46\u5e76\u975e\u6700\u4e0d\u91cd\u8981\u7684\u4e00\u70b9\u662f\uff0c\u65b9\u5dee\u5206\u6790\u662f\u4e13\u95e8\u4e3a\u8fde\u7eed\u56e0\u53d8\u91cf\u8bbe\u8ba1\u7684\uff1b\u88ab\u5206\u6790\u7684\u7ec4\u5fc5\u987b\u7531\u4ee5\u533a\u95f4\u6216\u6bd4\u7387\u5c3a\u5ea6\u6d4b\u91cf\u7684\u8fde\u7eed\u6570\u636e\u7ec4\u6210\u3002\u8fdd\u53cd\u8fd9\u4e9b\u5047\u8bbe\u53ef\u80fd\u4f1a\u5bfc\u81f4\u9519\u8bef\u7684\u63a8\u8bba\uff0c\u56e0\u6b64\u7814\u7a76\u4eba\u5458\u5728\u5e94\u7528\u65b9\u5dee\u5206\u6790\u4e4b\u524d\uff0c\u5fc5\u987b\u8bc6\u522b\u5e76\u7ea0\u6b63\u8fd9\u4e9b\u5047\u8bbe\u3002<\/p>\n\n\n\n<h2>\u8fdb\u884c\u6709\u6548\u65b9\u5dee\u5206\u6790\u7684\u6b65\u9aa4<\/h2>\n\n\n\n<ol>\n<li>\u5355\u5411\u65b9\u5dee\u5206\u6790\uff1a\u5355\u5411\u65b9\u5dee\u5206\u6790\u975e\u5e38\u9002\u5408\u6839\u636e\u5355\u4e00\u53d8\u91cf\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5747\u503c\uff0c\u4f8b\u5982\u6bd4\u8f83\u4e0d\u540c\u6559\u5b66\u65b9\u6cd5\u7684\u6548\u679c\u3002\u4f8b\u5982\uff0c\u5982\u679c\u7814\u7a76\u4eba\u5458\u60f3\u6bd4\u8f83\u4e09\u79cd\u4e0d\u540c\u996e\u98df\u5bf9\u51cf\u80a5\u7684\u6548\u679c\uff0c\u5355\u5411\u65b9\u5dee\u5206\u6790\u53ef\u4ee5\u786e\u5b9a\u662f\u5426\u81f3\u5c11\u6709\u4e00\u79cd\u996e\u98df\u4f1a\u5bfc\u81f4\u51cf\u80a5\u6548\u679c\u7684\u663e\u8457\u4e0d\u540c\u3002\u6709\u5173\u5b9e\u65bd\u8fd9\u79cd\u65b9\u6cd5\u7684\u8be6\u7ec6\u6307\u5357\uff0c\u8bf7\u9605\u8bfb<a href=\"https:\/\/mindthegraph.com\/blog\/one-way-anova\/\"> \u5355\u5411\u65b9\u5dee\u5206\u6790\u89e3\u91ca<\/a>.<\/li>\n\n\n\n<li>\u53cc\u5411\u65b9\u5dee\u5206\u6790\uff1a\u5f53\u7814\u7a76\u4eba\u5458\u6709\u5174\u8da3\u4e86\u89e3\u4e24\u4e2a\u81ea\u53d8\u91cf\u5bf9\u56e0\u53d8\u91cf\u7684\u5f71\u54cd\u65f6\uff0c\u53cc\u5411\u65b9\u5dee\u5206\u6790\u975e\u5e38\u6709\u7528\u3002\u5b83\u4e0d\u4ec5\u80fd\u6d4b\u91cf\u4e24\u4e2a\u56e0\u7d20\u7684\u5355\u72ec\u5f71\u54cd\uff0c\u8fd8\u80fd\u8bc4\u4f30\u4ea4\u4e92\u5f71\u54cd\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u60f3\u4e86\u89e3\u996e\u98df\u7c7b\u578b\u548c\u65e5\u5e38\u953b\u70bc\u5bf9\u51cf\u80a5\u7684\u5f71\u54cd\uff0c\u90a3\u4e48\u53cc\u5411\u65b9\u5dee\u5206\u6790\u5c31\u80fd\u63d0\u4f9b\u6709\u5173\u5f71\u54cd\u53ca\u5176\u4ea4\u4e92\u4f5c\u7528\u7684\u4fe1\u606f\u3002<\/li>\n\n\n\n<li>&nbsp;\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790 \u5728\u4e0d\u540c\u6761\u4ef6\u4e0b\u5bf9\u540c\u4e00\u88ab\u8bd5\u8fdb\u884c\u91cd\u590d\u6d4b\u91cf\u65f6\u4f7f\u7528\u3002\u8fd9\u79cd\u65b9\u6cd5\u6700\u9002\u7528\u4e8e\u9700\u8981\u76d1\u6d4b\u968f\u65f6\u95f4\u53d1\u751f\u7684\u53d8\u5316\u7684\u7eb5\u5411\u7814\u7a76\u3002\u4f8b\u5982\uff1a\u5728\u7279\u5b9a\u6cbb\u7597\u524d\u3001\u6cbb\u7597\u4e2d\u548c\u6cbb\u7597\u540e\u6d4b\u91cf\u540c\u4e00\u53d7\u8bd5\u8005\u7684\u8840\u538b\u3002&nbsp;<\/li>\n\n\n\n<li>MANOVA\uff08\u591a\u53d8\u91cf\u65b9\u5dee\u5206\u6790 MANOVA \u662f\u65b9\u5dee\u5206\u6790\u7684\u6269\u5c55\uff0c\u53ef\u4ee5\u540c\u65f6\u5206\u6790\u591a\u4e2a\u56e0\u53d8\u91cf\u3002\u8fd9\u4e9b\u56e0\u53d8\u91cf\u53ef\u80fd\u662f\u76f8\u5173\u7684\uff0c\u4f8b\u5982\uff0c\u4e00\u9879\u7814\u7a76\u5c06\u591a\u4e2a\u5065\u5eb7\u7ed3\u679c\u4e0e\u751f\u6d3b\u65b9\u5f0f\u56e0\u7d20\u8054\u7cfb\u8d77\u6765\u8fdb\u884c\u5206\u6790\u3002&nbsp;<\/li>\n<\/ol>\n\n\n\n<h3>\u65b9\u5dee\u5206\u6790\u5b9e\u4f8b&nbsp;<\/h3>\n\n\n\n<p>- \u6559\u80b2\u7814\u7a76\uff1a\u7814\u7a76\u4eba\u5458\u60f3\u77e5\u9053\u5b66\u751f\u7684\u8003\u8bd5\u6210\u7ee9\u662f\u5426\u56e0\u6559\u5b66\u65b9\u6cd5\uff08\u4f20\u7edf\u6559\u5b66\u6cd5\u3001\u5728\u7ebf\u6559\u5b66\u6cd5\u548c\u6df7\u5408\u5f0f\u6559\u5b66\u6cd5\uff09\u800c\u6709\u6240\u4e0d\u540c\u3002\u5355\u56e0\u5b50\u65b9\u5dee\u5206\u6790\u53ef\u4ee5\u5e2e\u52a9\u786e\u5b9a\u6559\u5b66\u65b9\u6cd5\u662f\u5426\u4f1a\u5f71\u54cd\u5b66\u751f\u7684\u6210\u7ee9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image alignwide size-full\"><a href=\"https:\/\/mindthegraph.com\/poster-maker\/?utm_source=blog&amp;utm_medium=banners&amp;utm_campaign=conversion\"><img decoding=\"async\" loading=\"lazy\" width=\"651\" height=\"174\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/06\/mind-the-graph.png\" alt=\"&quot;Mind the Graph\u7684\u5ba3\u4f20\u6a2a\u5e45\uff0c\u6807\u660e&#039;\u4f7f\u7528Mind the Graph\u8f7b\u677e\u521b\u5efa\u79d1\u5b66\u63d2\u56fe&#039;\uff0c\u7a81\u51fa\u5e73\u53f0\u7684\u6613\u7528\u6027&quot;\u3002\" class=\"wp-image-54656\" srcset=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/06\/mind-the-graph.png 651w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/06\/mind-the-graph-300x80.png 300w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/06\/mind-the-graph-18x5.png 18w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/06\/mind-the-graph-100x27.png 100w\" sizes=\"(max-width: 651px) 100vw, 651px\" \/><\/a><figcaption class=\"wp-element-caption\"><a href=\"https:\/\/mindthegraph.com\/poster-maker\/?utm_source=blog&amp;utm_medium=banners&amp;utm_campaign=conversion\">\u4f7f\u7528 Mind the Graph \u8f7b\u677e\u521b\u5efa\u79d1\u5b66\u63d2\u56fe\u3002<\/a><\/figcaption><\/figure>\n\n\n\n<p>- \u836f\u7269\u7814\u7a76\uff1a\u79d1\u5b66\u5bb6\u53ef\u4ee5\u5728\u836f\u7269\u8bd5\u9a8c\u4e2d\u6bd4\u8f83\u4e0d\u540c\u5242\u91cf\u7684\u836f\u7269\u5bf9\u60a3\u8005\u5eb7\u590d\u65f6\u95f4\u7684\u5f71\u54cd\u3002\u53cc\u5411\u65b9\u5dee\u5206\u6790\u53ef\u4ee5\u540c\u65f6\u8bc4\u4f30\u5242\u91cf\u548c\u60a3\u8005\u5e74\u9f84\u7684\u5f71\u54cd\u3002&nbsp;<\/p>\n\n\n\n<p>- \u5fc3\u7406\u5b66\u5b9e\u9a8c\uff1a\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u4f7f\u7528\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\uff0c\u901a\u8fc7\u8bc4\u4f30\u53c2\u4e0e\u8005\u5728\u6cbb\u7597\u524d\u3001\u6cbb\u7597\u4e2d\u548c\u6cbb\u7597\u540e\u7684\u7126\u8651\u6c34\u5e73\uff0c\u6765\u786e\u5b9a\u4e00\u79cd\u7597\u6cd5\u5728\u591a\u4e2a\u7597\u7a0b\u4e2d\u7684\u6548\u679c\u3002<\/p>\n\n\n\n<p>\u8981\u8fdb\u4e00\u6b65\u4e86\u89e3\u4e8b\u540e\u6d4b\u8bd5\u5728\u8fd9\u4e9b\u60c5\u51b5\u4e0b\u7684\u4f5c\u7528\uff0c\u8bf7\u63a2\u7d22<a href=\"https:\/\/mindthegraph.com\/blog\/post-hoc-testing-anova\/\"> \u65b9\u5dee\u5206\u6790\u4e2d\u7684\u4e8b\u540e\u68c0\u9a8c<\/a>.<\/p>\n\n\n\n<h2>\u89e3\u91ca\u65b9\u5dee\u5206\u6790\u7ed3\u679c<\/h2>\n\n\n\n<h3>\u4e8b\u540e\u68c0\u9a8c<\/h3>\n\n\n\n<p>\u5f53\u65b9\u5dee\u5206\u6790\u53d1\u73b0\u5404\u7ec4\u5747\u503c\u4e4b\u95f4\u5b58\u5728\u663e\u8457\u5dee\u5f02\u65f6\uff0c\u5c31\u4f1a\u8fdb\u884c\u4e8b\u540e\u68c0\u9a8c\u3002\u8fd9\u4e9b\u68c0\u9a8c\u6709\u52a9\u4e8e\u786e\u5b9a\u54ea\u4e9b\u7ec4\u4e4b\u95f4\u5b58\u5728\u5dee\u5f02\uff0c\u56e0\u4e3a\u65b9\u5dee\u5206\u6790\u53ea\u80fd\u63ed\u793a\u81f3\u5c11\u5b58\u5728\u4e00\u4e2a\u5dee\u5f02\uff0c\u800c\u4e0d\u80fd\u6307\u51fa\u5dee\u5f02\u6240\u5728\u3002\u4e00\u4e9b\u6700\u5e38\u7528\u7684\u4e8b\u540e\u68c0\u9a8c\u65b9\u6cd5\u5305\u62ec Tukey's \u8bda\u5b9e\u663e\u8457\u5dee\u5f02 (HSD)\u3001Scheff\u00e9 \u68c0\u9a8c\u548c Bonferroni \u6821\u6b63\u3002\u8fd9\u4e9b\u65b9\u6cd5\u90fd\u53ef\u4ee5\u63a7\u5236\u4e0e\u591a\u91cd\u6bd4\u8f83\u76f8\u5173\u7684 I \u7c7b\u9519\u8bef\u7387\u3002\u4e8b\u540e\u68c0\u9a8c\u7684\u9009\u62e9\u53d6\u51b3\u4e8e\u6837\u672c\u91cf\u3001\u65b9\u5dee\u9f50\u6027\u548c\u7ec4\u95f4\u6bd4\u8f83\u6b21\u6570\u7b49\u53d8\u91cf\u3002\u6b63\u786e\u4f7f\u7528\u4e8b\u540e\u68c0\u9a8c\u53ef\u786e\u4fdd\u7814\u7a76\u4eba\u5458\u5f97\u51fa\u51c6\u786e\u7684\u7ec4\u95f4\u5dee\u5f02\u7ed3\u8bba\uff0c\u800c\u4e0d\u4f1a\u589e\u52a0\u5047\u9633\u6027\u7684\u53ef\u80fd\u6027\u3002<\/p>\n\n\n\n<h2>\u8fdb\u884c\u65b9\u5dee\u5206\u6790\u65f6\u7684\u5e38\u89c1\u9519\u8bef<\/h2>\n\n\n\n<p>\u8fdb\u884c\u65b9\u5dee\u5206\u6790\u65f6\u6700\u5e38\u89c1\u7684\u9519\u8bef\u662f\u5ffd\u7565\u5047\u8bbe\u68c0\u9a8c\u3002\u65b9\u5dee\u5206\u6790\u5047\u5b9a\u65b9\u5dee\u5177\u6709\u6b63\u6001\u6027\u548c\u540c\u8d28\u6027\uff0c\u4e0d\u68c0\u9a8c\u8fd9\u4e9b\u5047\u5b9a\u53ef\u80fd\u5bfc\u81f4\u4e0d\u51c6\u786e\u7684\u7ed3\u679c\u3002\u53e6\u4e00\u4e2a\u9519\u8bef\u662f\u5728\u6bd4\u8f83\u4e24\u4e2a\u4ee5\u4e0a\u7684\u7ec4\u522b\u65f6\uff0c\u4f7f\u7528\u591a\u91cd t \u68c0\u9a8c\u800c\u4e0d\u662f\u65b9\u5dee\u5206\u6790\uff0c\u8fd9\u4f1a\u589e\u52a0 I \u7c7b\u9519\u8bef\u7684\u98ce\u9669\u3002\u7814\u7a76\u4eba\u5458\u6709\u65f6\u4f1a\u8bef\u89e3\u65b9\u5dee\u5206\u6790\u7684\u7ed3\u679c\uff0c\u5728\u6ca1\u6709\u8fdb\u884c\u4e8b\u540e\u5206\u6790\u7684\u60c5\u51b5\u4e0b\u5c31\u65ad\u5b9a\u54ea\u4e9b\u7279\u5b9a\u7ec4\u522b\u5b58\u5728\u5dee\u5f02\u3002\u6837\u672c\u91cf\u4e0d\u8db3\u6216\u7ec4\u522b\u5927\u5c0f\u4e0d\u7b49\u4f1a\u964d\u4f4e\u68c0\u9a8c\u7684\u529f\u7387\uff0c\u5f71\u54cd\u68c0\u9a8c\u7684\u6709\u6548\u6027\u3002\u9002\u5f53\u7684\u6570\u636e\u51c6\u5907\u3001\u5047\u8bbe\u9a8c\u8bc1\u548c\u4ed4\u7ec6\u89e3\u91ca\u53ef\u4ee5\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u4f7f\u65b9\u5dee\u5206\u6790\u7ed3\u679c\u66f4\u52a0\u53ef\u9760\u3002<\/p>\n\n\n\n<h2>\u65b9\u5dee\u5206\u6790\u4e0e T \u68c0\u9a8c<\/h2>\n\n\n\n<p>\u867d\u7136\u65b9\u5dee\u5206\u6790\u548c t \u68c0\u9a8c\u90fd\u7528\u4e8e\u6bd4\u8f83\u7ec4\u95f4\u5747\u503c\uff0c\u4f46\u5b83\u4eec\u6709\u4e0d\u540c\u7684\u5e94\u7528\u548c\u5c40\u9650\u6027\uff1a<\/p>\n\n\n\n<ul>\n<li><strong>\u7ec4\u6570<\/strong>:\n<ul>\n<li>t \u68c0\u9a8c\u6700\u9002\u5408\u6bd4\u8f83\u4e24\u7ec4\u7684\u5747\u503c\u3002<\/li>\n\n\n\n<li>\u65b9\u5dee\u5206\u6790\u662f\u4e3a\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u800c\u8bbe\u8ba1\u7684\uff0c\u56e0\u6b64\u5bf9\u4e8e\u5177\u6709\u591a\u79cd\u6761\u4ef6\u7684\u7814\u7a76\u6765\u8bf4\uff0c\u65b9\u5dee\u5206\u6790\u662f\u66f4\u6709\u6548\u7684\u9009\u62e9\u3002<\/li>\n\n\n\n<li>\u65b9\u5dee\u5206\u6790\u5141\u8bb8\u5728\u4e00\u6b21\u5206\u6790\u4e2d\u540c\u65f6\u6bd4\u8f83\u591a\u4e2a\u7ec4\u522b\uff0c\u4ece\u800c\u964d\u4f4e\u4e86\u590d\u6742\u6027\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6bd4\u8f83\u7c7b\u578b<\/strong>:\n<ul>\n<li>t \u68c0\u9a8c\u8bc4\u4f30\u4e24\u7ec4\u7684\u5747\u503c\u662f\u5426\u6709\u663e\u8457\u5dee\u5f02\u3002<\/li>\n\n\n\n<li>\u65b9\u5dee\u5206\u6790\u8bc4\u4f30\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u8457\u5dee\u5f02\uff0c\u4f46\u5982\u679c\u4e0d\u8fdb\u884c\u8fdb\u4e00\u6b65\u7684\u4e8b\u540e\u5206\u6790\uff0c\u5219\u4e0d\u4f1a\u660e\u786e\u6307\u51fa\u54ea\u4e9b\u7ec4\u5b58\u5728\u5dee\u5f02\u3002<\/li>\n\n\n\n<li>\u4e8b\u540e\u68c0\u9a8c\uff08\u5982 Tukey's HSD\uff09\u6709\u52a9\u4e8e\u5728\u65b9\u5dee\u5206\u6790\u68c0\u6d4b\u51fa\u663e\u8457\u6027\u540e\u786e\u5b9a\u5177\u4f53\u7684\u7ec4\u95f4\u5dee\u5f02\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u9519\u8bef\u7387<\/strong>:\n<ul>\n<li>\u8fdb\u884c\u591a\u6b21 t \u68c0\u9a8c\u6765\u6bd4\u8f83\u591a\u4e2a\u7ec4\u522b\u4f1a\u589e\u52a0\u72af I \u7c7b\u9519\u8bef\uff08\u9519\u8bef\u5730\u62d2\u7edd\u96f6\u5047\u8bbe\uff09\u7684\u98ce\u9669\u3002<\/li>\n\n\n\n<li>\u65b9\u5dee\u5206\u6790\u901a\u8fc7\u4e00\u6b21\u6d4b\u8bd5\u540c\u65f6\u8bc4\u4f30\u6240\u6709\u7ec4\u522b\uff0c\u4ece\u800c\u964d\u4f4e\u4e86\u8fd9\u79cd\u98ce\u9669\u3002<\/li>\n\n\n\n<li>\u63a7\u5236\u8bef\u5dee\u7387\u6709\u52a9\u4e8e\u4fdd\u6301\u7edf\u8ba1\u7ed3\u8bba\u7684\u5b8c\u6574\u6027\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5047\u8bbe<\/strong>:\n<ul>\n<li>\u8fd9\u4e24\u79cd\u68c0\u9a8c\u90fd\u5047\u5b9a\u6b63\u6001\u6027\u548c\u65b9\u5dee\u540c\u8d28\u6027\u3002<\/li>\n\n\n\n<li>\u65b9\u5dee\u5206\u6790\u6bd4 t \u68c0\u9a8c\u66f4\u80fd\u907f\u514d\u8fdd\u53cd\u8fd9\u4e9b\u5047\u8bbe\uff0c\u5c24\u5176\u662f\u5728\u6837\u672c\u91cf\u8f83\u5927\u7684\u60c5\u51b5\u4e0b\u3002<\/li>\n\n\n\n<li>\u786e\u4fdd\u5047\u8bbe\u5f97\u5230\u6ee1\u8db3\uff0c\u53ef\u63d0\u9ad8\u4e24\u79cd\u6d4b\u8bd5\u7ed3\u679c\u7684\u6709\u6548\u6027\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3><strong>\u65b9\u5dee\u5206\u6790\u7684\u4f18\u52bf<\/strong><\/h3>\n\n\n\n<ol>\n<li><strong>\u591a\u529f\u80fd\u6027<\/strong>:\n<ul>\n<li>\u65b9\u5dee\u5206\u6790\u53ef\u4ee5\u540c\u65f6\u5904\u7406\u591a\u4e2a\u7ec4\u548c\u53d8\u91cf\uff0c\u662f\u5206\u6790\u590d\u6742\u5b9e\u9a8c\u8bbe\u8ba1\u7684\u7075\u6d3b\u800c\u5f3a\u5927\u7684\u5de5\u5177\u3002<\/li>\n\n\n\n<li>\u5b83\u53ef\u4ee5\u6269\u5c55\u5230\u91cd\u590d\u6d4b\u91cf\u548c\u6df7\u5408\u6a21\u578b\u8bbe\u8ba1\uff0c\u4ee5\u8fdb\u884c\u66f4\u590d\u6742\u7684\u5206\u6790\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6548\u7387<\/strong>:\n<ul>\n<li>\u8fdb\u884c\u591a\u6b21 t \u68c0\u9a8c\u4f1a\u589e\u52a0 I \u7c7b\u9519\u8bef\u7684\u98ce\u9669\uff0c\u800c\u4e00\u6b21\u65b9\u5dee\u5206\u6790\u68c0\u9a8c\u5c31\u80fd\u786e\u5b9a\u6240\u6709\u7ec4\u95f4\u662f\u5426\u5b58\u5728\u663e 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<strong>\u9644\u52a0\u529f\u80fd<\/strong> \u4ece\u5de6\u4fa7\u8fb9\u680f\u3002<\/li>\n\n\n\n<li>\u5728\u7a97\u53e3\u5e95\u90e8\uff0c\u786e\u4fdd <strong>Excel \u9644\u52a0\u7ec4\u4ef6<\/strong> \u7136\u540e\u70b9\u51fb <strong>\u8f6c\u5230<\/strong>.<\/li>\n\n\n\n<li>\u5728 <strong>\u9644\u52a0\u529f\u80fd<\/strong> \u5bf9\u8bdd\u6846\uff0c\u9009\u4e2d <strong>\u5206\u6790\u5de5\u5177\u5305<\/strong> \u5e76\u70b9\u51fb <strong>\u597d\u7684<\/strong>.<\/li>\n<\/ol>\n\n\n\n<h4>\u6b65\u9aa4 2\uff1a\u51c6\u5907\u6570\u636e<\/h4>\n\n\n\n<ol>\n<li>\u5728\u5355\u4e2a Excel \u5de5\u4f5c\u8868\u4e2d\u6574\u7406\u6570\u636e\u3002<\/li>\n\n\n\n<li>\u5c06\u6bcf\u4e2a\u7ec4\u7684\u6570\u636e\u653e\u5728\u4e0d\u540c\u7684\u5217\u4e2d\u3002\u786e\u4fdd\u6bcf\u4e00\u5217\u90fd\u6709\u6807\u660e\u7ec4\u540d\u7684\u6807\u9898\u3002\n<ul>\n<li>\u4f8b\u5b50\u3002<br><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4>\u6b65\u9aa4 3\uff1a\u6253\u5f00\u65b9\u5dee\u5206\u6790\u5de5\u5177<\/h4>\n\n\n\n<ol>\n<li>\u70b9\u51fb <strong>\u6570\u636e<\/strong> \u9009\u9879\u5361\u3002<\/li>\n\n\n\n<li>\u5728 <strong>\u5206\u6790<\/strong> \u7ec4\uff0c\u9009\u62e9 <strong>\u6570\u636e\u5206\u6790<\/strong>.<\/li>\n\n\n\n<li>\u5728 <strong>\u6570\u636e\u5206\u6790<\/strong> \u5bf9\u8bdd\u6846\uff0c\u9009\u62e9 <strong>\u65b9\u5dee\u5206\u6790\uff1a\u5355\u56e0\u7d20<\/strong> \u8fdb\u884c\u5355\u56e0\u7d20\u65b9\u5dee\u5206\u6790\u6216 <strong>\u65b9\u5dee\u5206\u6790\uff1a\u53cc\u56e0\u7d20\u4e0e\u590d\u5236<\/strong> \u5982\u679c\u6709\u4e24\u4e2a\u81ea\u53d8\u91cf\u3002\u70b9\u51fb <strong>\u597d\u7684<\/strong>.<\/li>\n<\/ol>\n\n\n\n<h4>\u6b65\u9aa4 4\uff1a\u8bbe\u7f6e\u65b9\u5dee\u5206\u6790\u53c2\u6570<\/h4>\n\n\n\n<ol>\n<li><strong>\u8f93\u5165\u8303\u56f4<\/strong>:\u9009\u62e9\u6570\u636e\u8303\u56f4\uff0c\u5305\u62ec\u6807\u9898\uff08\u5982 A1:C4\uff09\u3002<\/li>\n\n\n\n<li><strong>\u5206\u7ec4\u65b9\u5f0f<\/strong>:\u9009\u62e9 <strong>\u4e13\u680f<\/strong> (\u9ed8\u8ba4\u503c\uff09\uff0c\u5982\u679c\u6570\u636e\u662f\u6309\u5217\u7ec4\u7ec7\u7684\u3002<\/li>\n\n\n\n<li><strong>\u7b2c\u4e00\u884c\u7684\u6807\u7b7e<\/strong>:\u5982\u679c\u60a8\u5728\u9009\u62e9\u4e2d\u5305\u542b\u6807\u9898\uff0c\u8bf7\u9009\u4e2d\u6b64\u6846\u3002<\/li>\n\n\n\n<li><strong>\u963f\u5c14\u6cd5<\/strong>:\u8bbe\u7f6e\u663e\u8457\u6027\u6c34\u5e73\uff08\u9ed8\u8ba4\u4e3a 0.05\uff09\u3002<\/li>\n\n\n\n<li><strong>\u8f93\u51fa\u8303\u56f4<\/strong>:\u9009\u62e9\u8981\u5728\u5de5\u4f5c\u8868\u4e0a\u663e\u793a\u7ed3\u679c\u7684\u4f4d\u7f6e\uff0c\u6216\u9009\u62e9 <strong>\u65b0\u5de5\u4f5c\u8868<\/strong> \u521b\u5efa\u5355\u72ec\u7684\u5de5\u4f5c\u8868\u3002<\/li>\n<\/ol>\n\n\n\n<h4>\u6b65\u9aa4 5\uff1a\u8fd0\u884c\u5206\u6790<\/h4>\n\n\n\n<ol>\n<li>\u70b9\u51fb <strong>\u597d\u7684<\/strong> \u6765\u6267\u884c\u65b9\u5dee\u5206\u6790\u3002<\/li>\n\n\n\n<li>Excel \u5c06\u751f\u6210\u4e00\u4e2a\u8f93\u51fa\u8868\uff0c\u5176\u4e2d\u5305\u542b\u4e3b\u8981\u7ed3\u679c\uff0c\u5305\u62ec <strong>F \u7edf\u8ba1\u91cf<\/strong>, <strong>p \u503c<\/strong>\uff0c\u4ee5\u53ca <strong>\u65b9\u5dee\u5206\u6790\u6458\u8981<\/strong>.<\/li>\n<\/ol>\n\n\n\n<h4>\u6b65\u9aa4 6\uff1a\u89e3\u91ca\u7ed3\u679c<\/h4>\n\n\n\n<ol>\n<li><strong>F \u7edf\u8ba1<\/strong>:\u8be5\u503c\u6709\u52a9\u4e8e\u786e\u5b9a\u7ec4\u95f4\u662f\u5426\u5b58\u5728\u663e\u8457\u5dee\u5f02\u3002<\/li>\n\n\n\n<li><strong>p \u503c<\/strong>:\n<ul>\n<li>\u5982\u679c <strong>p &lt; 0.05<\/strong>\uff0c\u60a8\u62d2\u7edd\u4e86\u96f6\u5047\u8bbe\uff0c\u8868\u660e\u7ec4\u95f4\u5747\u503c\u5dee\u5f02\u5728\u7edf\u8ba1\u5b66\u4e0a\u6709\u663e\u8457\u610f\u4e49\u3002<\/li>\n\n\n\n<li>\u5982\u679c <strong>p \u2265 0.05<\/strong>\uff0c\u60a8\u672a\u80fd\u62d2\u7edd\u96f6\u5047\u8bbe\uff0c\u8fd9\u8868\u660e\u7ec4\u95f4\u5747\u503c\u65e0\u663e\u8457\u5dee\u5f02\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u56de\u987e <strong>\u7ec4\u95f4<\/strong> \u548c <strong>\u7ec4\u5185<\/strong> \u5dee\u5f02\uff0c\u4ee5\u4e86\u89e3\u5dee\u5f02\u7684\u6765\u6e90\u3002<\/li>\n<\/ol>\n\n\n\n<h4>\u6b65\u9aa4 7\uff1a\u8fdb\u884c\u4e8b\u540e\u68c0\u9a8c\uff08\u5982\u9002\u7528\uff09<\/h4>\n\n\n\n<p>Excel \u7684\u5185\u7f6e\u65b9\u5dee\u5206\u6790\u5de5\u5177\u4e0d\u4f1a\u81ea\u52a8\u6267\u884c\u4e8b\u540e\u68c0\u9a8c\uff08\u5982 Tukey's HSD\uff09\u3002\u5982\u679c\u65b9\u5dee\u5206\u6790\u7ed3\u679c\u663e\u793a\u663e\u8457\u6027\uff0c\u60a8\u53ef\u80fd\u9700\u8981\u624b\u52a8\u8fdb\u884c\u914d\u5bf9\u6bd4\u8f83\u6216\u4f7f\u7528\u5176\u4ed6\u7edf\u8ba1\u8f6f\u4ef6\u3002<\/p>\n\n\n\n<h2>\u603b\u7ed3&nbsp;<\/h2>\n\n\n\n<p>\u7ed3\u8bba \u65b9\u5dee\u5206\u6790\u662f\u7edf\u8ba1\u5206\u6790\u7684\u91cd\u8981\u5de5\u5177\uff0c\u63d0\u4f9b\u4e86\u8bc4\u4f30\u590d\u6742\u6570\u636e\u7684\u53ef\u9760\u6280\u672f\u3002\u901a\u8fc7\u4e86\u89e3\u548c\u5e94\u7528\u65b9\u5dee\u5206\u6790\uff0c\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u505a\u51fa\u660e\u667a\u7684\u51b3\u7b56\uff0c\u5e76\u4ece\u7814\u7a76\u4e2d\u5f97\u51fa\u6709\u610f\u4e49\u7684\u7ed3\u8bba\u3002\u65e0\u8bba\u662f\u7814\u7a76\u5404\u79cd\u6cbb\u7597\u65b9\u6cd5\u3001\u6559\u80b2\u65b9\u6cd5\u8fd8\u662f\u884c\u4e3a\u5e72\u9884\uff0c\u65b9\u5dee\u5206\u6790\u90fd\u662f\u8fdb\u884c\u5408\u7406\u7edf\u8ba1\u5206\u6790\u7684\u57fa\u7840\u3002\u5b83\u63d0\u4f9b\u7684\u4f18\u52bf\u5927\u5927\u63d0\u9ad8\u4e86\u7814\u7a76\u548c\u7406\u89e3\u6570\u636e\u53d8\u5316\u7684\u80fd\u529b\uff0c\u6700\u7ec8\u5728\u7814\u7a76\u53ca\u5176\u4ed6\u65b9\u9762\u505a\u51fa\u66f4\u660e\u667a\u7684\u51b3\u7b56\u3002  \u867d\u7136\u65b9\u5dee\u5206\u6790\u548c t \u68c0\u9a8c\u90fd\u662f\u6bd4\u8f83\u5747\u503c\u7684\u91cd\u8981\u65b9\u6cd5\uff0c\u4f46\u8ba4\u8bc6\u5230\u5b83\u4eec\u7684\u533a\u522b\u548c\u5e94\u7528\uff0c\u7814\u7a76\u4eba\u5458\u5c31\u80fd\u4e3a\u81ea\u5df1\u7684\u7814\u7a76\u9009\u62e9\u6700\u5408\u9002\u7684\u7edf\u8ba1\u6280\u672f\uff0c\u786e\u4fdd\u7814\u7a76\u7ed3\u679c\u7684\u51c6\u786e\u6027\u548c\u53ef\u9760\u6027\u3002&nbsp;<\/p>\n\n\n\n<p>\u66f4\u591a\u4fe1\u606f <a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC6813708\">\u8fd9\u91cc<\/a>!<\/p>\n\n\n\n<h2>\u7528 Mind the Graph \u5c06\u65b9\u5dee\u5206\u6790\u7ed3\u679c\u8f6c\u5316\u4e3a\u53ef\u89c6\u5316\u6770\u4f5c<\/h2>\n\n\n\n<p>\u65b9\u5dee\u5206\u6790\u662f\u4e00\u79cd\u529f\u80fd\u5f3a\u5927\u7684\u5de5\u5177\uff0c\u4f46\u5176\u7ed3\u679c\u7684\u5448\u73b0\u5f80\u5f80\u6bd4\u8f83\u590d\u6742\u3002 <a href=\"https:\/\/mindthegraph.com\/science-figures\/?utm_source=blog&amp;utm_medium=cta-final&amp;utm_campaign=conversion\">Mind the Graph<\/a> \u901a\u8fc7\u53ef\u5b9a\u5236\u7684\u56fe\u8868\u3001\u56fe\u5f62\u548c\u4fe1\u606f\u56fe\u8868\u6a21\u677f\uff0c\u7b80\u5316\u4e86\u8fd9\u4e00\u8fc7\u7a0b\u3002\u65e0\u8bba\u662f\u5c55\u793a\u53d8\u5f02\u6027\u3001\u7ec4\u95f4\u5dee\u5f02\u8fd8\u662f\u4e8b\u540e\u7ed3\u679c\uff0c\u6211\u4eec\u7684\u5e73\u53f0\u90fd\u80fd\u786e\u4fdd\u60a8\u7684\u6f14\u793a\u6e05\u6670\u3001\u5438\u5f15\u4eba\u3002\u7acb\u5373\u5f00\u59cb\u5c06\u60a8\u7684\u65b9\u5dee\u5206\u6790\u7ed3\u679c\u8f6c\u5316\u4e3a\u5f15\u4eba\u6ce8\u76ee\u7684\u89c6\u89c9\u6548\u679c\u3002<\/p>\n\n\n\n<h2>\u7edf\u8ba1\u5206\u6790\u53ef\u89c6\u5316\u7684\u4e3b\u8981\u529f\u80fd<\/h2>\n\n\n\n<ol>\n<li><strong>\u56fe\u5f62\u548c\u56fe\u8868\u5de5\u5177<\/strong>: <a href=\"https:\/\/mindthegraph.com\/science-figures\/?utm_source=blog&amp;utm_medium=cta-final&amp;utm_campaign=conversion\">Mind the Graph<\/a> \u5b83\u63d0\u4f9b\u4e86\u7528\u4e8e\u521b\u5efa\u6761\u5f62\u56fe\u3001\u76f4\u65b9\u56fe\u3001\u6563\u70b9\u56fe\u548c\u997c\u56fe\u7684\u5404\u79cd\u6a21\u677f\uff0c\u8fd9\u4e9b\u6a21\u677f\u5bf9\u4e8e\u663e\u793a\u65b9\u5dee\u5206\u6790\u3001t \u68c0\u9a8c\u548c\u56de\u5f52\u5206\u6790\u7b49\u7edf\u8ba1\u6d4b\u8bd5\u7684\u7ed3\u679c\u81f3\u5173\u91cd\u8981\u3002\u901a\u8fc7\u8fd9\u4e9b\u5de5\u5177\uff0c\u7528\u6237\u53ef\u4ee5\u8f7b\u677e\u8f93\u5165\u6570\u636e\u5e76\u81ea\u5b9a\u4e49\u56fe\u8868\u7684\u5916\u89c2\uff0c\u4ece\u800c\u66f4\u5bb9\u6613\u7a81\u51fa\u5173\u952e\u6a21\u5f0f\u548c\u7ec4\u95f4\u5dee\u5f02\u3002<\/li>\n\n\n\n<li><strong>\u7edf\u8ba1\u6982\u5ff5\u548c\u56fe\u6807<\/strong>:\u8be5\u5e73\u53f0\u5305\u542b\u5927\u91cf\u79d1\u5b66\u51c6\u786e\u7684\u56fe\u6807\u548c\u63d2\u56fe\uff0c\u6709\u52a9\u4e8e\u89e3\u91ca\u7edf\u8ba1\u6982\u5ff5\u3002\u7528\u6237\u53ef\u4ee5\u5728\u56fe\u8868\u4e2d\u6dfb\u52a0\u6ce8\u91ca\uff0c\u4ee5\u9610\u660e\u5747\u503c\u5dee\u5f02\u3001\u6807\u51c6\u5dee\u3001\u7f6e\u4fe1\u533a\u95f4\u548c p \u503c\u7b49\u8981\u70b9\u3002\u8fd9\u5728\u5411\u53ef\u80fd\u5bf9\u7edf\u8ba1\u5b66\u4e86\u89e3\u4e0d\u6df1\u7684\u53d7\u4f17\u5c55\u793a\u590d\u6742\u7684\u5206\u6790\u65f6\u5c24\u5176\u6709\u7528\u3002<\/li>\n\n\n\n<li><strong>\u53ef\u5b9a\u5236\u7684\u8bbe\u8ba1<\/strong>:Mind the Graph \u63d0\u4f9b\u53ef\u5b9a\u5236\u7684\u8bbe\u8ba1\u529f\u80fd\uff0c\u7528\u6237\u53ef\u6839\u636e\u81ea\u5df1\u7684\u9700\u8981\u5b9a\u5236\u56fe\u8868\u5916\u89c2\u3002\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u8c03\u6574\u989c\u8272\u3001\u5b57\u4f53\u548c\u5e03\u5c40\uff0c\u4f7f\u5176\u7b26\u5408\u7279\u5b9a\u7684\u6f14\u793a\u98ce\u683c\u6216\u51fa\u7248\u6807\u51c6\u3002\u8fd9\u79cd\u7075\u6d3b\u6027\u5bf9\u4e8e\u51c6\u5907\u7814\u7a76\u8bba\u6587\u3001\u6d77\u62a5\u6216\u4f1a\u8bae\u6f14\u793a\u7684\u89c6\u89c9\u5185\u5bb9\u7279\u522b\u6709\u7528\u3002<\/li>\n\n\n\n<li><strong>\u5bfc\u51fa\u548c\u5171\u4eab\u9009\u9879<\/strong>:\u521b\u5efa\u6240\u9700\u7684\u89c6\u89c9\u6548\u679c\u540e\uff0c\u7528\u6237\u53ef\u5c06\u56fe\u8868\u5bfc\u51fa\u4e3a\u5404\u79cd\u683c\u5f0f\uff08\u5982 PNG\u3001PDF\u3001SVG\uff09\uff0c\u4ee5\u4fbf\u7eb3\u5165\u6f14\u793a\u6587\u7a3f\u3001\u51fa\u7248\u7269\u6216\u62a5\u544a\u4e2d\u3002\u8be5\u5e73\u53f0\u8fd8\u5141\u8bb8\u901a\u8fc7\u793e\u4ea4\u5a92\u4f53\u6216\u5176\u4ed6\u5e73\u53f0\u76f4\u63a5\u5171\u4eab\uff0c\u4fbf\u4e8e\u5feb\u901f\u4f20\u64ad\u7814\u7a76\u6210\u679c\u3002<\/li>\n\n\n\n<li><strong>\u589e\u5f3a\u6570\u636e\u89e3\u8bfb<\/strong>:Mind the Graph \u901a\u8fc7\u63d0\u4f9b\u53ef\u89c6\u5316\u7edf\u8ba1\u5206\u6790\u5e73\u53f0\uff0c\u4f7f\u6570\u636e\u66f4\u6613\u4e8e\u83b7\u53d6\uff0c\u4ece\u800c\u52a0\u5f3a\u4e86\u7edf\u8ba1\u7ed3\u679c\u7684\u4ea4\u6d41\u3002\u53ef\u89c6\u5316\u8868\u793a\u6709\u52a9\u4e8e\u7a81\u51fa\u8d8b\u52bf\u3001\u76f8\u5173\u6027\u548c\u5dee\u5f02\uff0c\u4f7f\u65b9\u5dee\u5206\u6790\u6216\u56de\u5f52\u6a21\u578b\u7b49\u590d\u6742\u5206\u6790\u5f97\u51fa\u7684\u7ed3\u8bba\u66f4\u52a0\u6e05\u6670\u3002<\/li>\n<\/ol>\n\n\n\n<h2>\u4f7f\u7528 Mind the Graph \u8fdb\u884c\u7edf\u8ba1\u5206\u6790\u7684\u4f18\u52bf<\/h2>\n\n\n\n<ul>\n<li><strong>\u6e05\u6670\u7684\u6c9f\u901a<\/strong>:\u76f4\u89c2\u663e\u793a\u7edf\u8ba1\u7ed3\u679c\u7684\u80fd\u529b\u6709\u52a9\u4e8e\u7f29\u5c0f\u590d\u6742\u6570\u636e\u4e0e\u975e\u4e13\u5bb6\u53d7\u4f17\u4e4b\u95f4\u7684\u5dee\u8ddd\uff0c\u589e\u5f3a\u7406\u89e3\u529b\u548c\u53c2\u4e0e\u5ea6\u3002<\/li>\n\n\n\n<li><strong>\u4e13\u4e1a\u547c\u5401<\/strong>:\u8be5\u5e73\u53f0\u7684\u53ef\u5b9a\u5236\u548c\u7cbe\u826f\u7684\u89c6\u89c9\u6548\u679c\u6709\u52a9\u4e8e\u786e\u4fdd\u6f14\u793a\u6587\u7a3f\u7684\u4e13\u4e1a\u6027\u548c\u5f71\u54cd\u529b\uff0c\u8fd9\u5bf9\u51fa\u7248\u7269\u3001\u5b66\u672f\u4f1a\u8bae\u6216\u62a5\u544a\u81f3\u5173\u91cd\u8981\u3002<\/li>\n\n\n\n<li><strong>\u8282\u7701\u65f6\u95f4<\/strong>:Mind the Graph \u63d0\u4f9b\u9884\u5236\u6a21\u677f\u548c\u6613\u4e8e\u4f7f\u7528\u7684\u529f\u80fd\uff0c\u53ef\u7b80\u5316\u6d41\u7a0b\uff0c\u800c\u65e0\u9700\u82b1\u8d39\u65f6\u95f4\u521b\u5efa\u81ea\u5b9a\u4e49\u56fe\u5f62\u6216\u7814\u7a76\u590d\u6742\u7684\u53ef\u89c6\u5316\u5de5\u5177\u3002<\/li>\n<\/ul>\n\n\n\n<p><a href=\"https:\/\/mindthegraph.com\/science-figures\/?utm_source=blog&amp;utm_medium=cta-final&amp;utm_campaign=conversion\">Mind the Graph<\/a> \u5bf9\u4e8e\u5e0c\u671b\u4ee5\u6e05\u6670\u3001\u76f4\u89c2\u548c\u6613\u4e8e\u89e3\u8bfb\u7684\u65b9\u5f0f\u5c55\u793a\u7edf\u8ba1\u7ed3\u679c\u7684\u7814\u7a76\u4eba\u5458\u6765\u8bf4\uff0c\u8fd9\u662f\u4e00\u4e2a\u5f3a\u5927\u7684\u5de5\u5177\uff0c\u6709\u52a9\u4e8e\u66f4\u597d\u5730\u4ea4\u6d41\u590d\u6742\u7684\u6570\u636e\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image alignwide size-full\"><a href=\"https:\/\/mindthegraph.com\/science-figures\/?utm_source=blog&amp;utm_medium=cta-final&amp;utm_campaign=conversion\"><img decoding=\"async\" loading=\"lazy\" width=\"651\" height=\"174\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/07\/mind-the-graph.png\" alt=\"Mind the Graph \u5fbd\u6807\uff0c\u4ee3\u8868\u4e00\u4e2a\u4e3a\u7814\u7a76\u4eba\u5458\u548c\u6559\u80b2\u5de5\u4f5c\u8005\u63d0\u4f9b\u79d1\u5b66\u63d2\u56fe\u548c\u8bbe\u8ba1\u5de5\u5177\u7684\u5e73\u53f0\u3002\" class=\"wp-image-54844\" srcset=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/07\/mind-the-graph.png 651w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/07\/mind-the-graph-300x80.png 300w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/07\/mind-the-graph-18x5.png 18w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/07\/mind-the-graph-100x27.png 100w\" sizes=\"(max-width: 651px) 100vw, 651px\" \/><\/a><figcaption class=\"wp-element-caption\">Mind the Graph - <a href=\"https:\/\/mindthegraph.com\/science-figures\/?utm_source=blog&amp;utm_medium=cta-final&amp;utm_campaign=conversion\">\u79d1\u5b66\u63d2\u56fe\u548c\u8bbe\u8ba1\u5e73\u53f0<\/a>.<\/figcaption><\/figure>","protected":false},"excerpt":{"rendered":"<p>\u4e86\u89e3\u65b9\u5dee\u5206\u6790 (ANOVA)\u3001\u5176\u7c7b\u578b\u3001\u5e94\u7528\u4ee5\u53ca\u5982\u4f55\u63d0\u9ad8\u7edf\u8ba1\u7814\u7a76\u7684\u51c6\u786e\u6027\u3002<\/p>","protected":false},"author":42,"featured_media":55919,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[978,961,977],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mastering the Analysis of Variance: Techniques and Applications - Mind the Graph Blog<\/title>\n<meta name=\"description\" content=\"Learn about the analysis of variance (ANOVA), its types, applications, and how it enhances statistical research accuracy.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mindthegraph.com\/blog\/zh\/analysis-of-variance\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mastering the Analysis of Variance: Techniques and Applications - Mind the Graph Blog\" \/>\n<meta property=\"og:description\" content=\"Learn about the analysis of variance (ANOVA), its types, applications, and how it enhances statistical research accuracy.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mindthegraph.com\/blog\/zh\/analysis-of-variance\/\" \/>\n<meta property=\"og:site_name\" content=\"Mind the Graph Blog\" \/>\n<meta property=\"article:published_time\" content=\"2025-02-12T12:20:42+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-02-25T12:25:41+00:00\" 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