{"id":206,"date":"2023-07-15T00:00:04","date_gmt":"2023-07-15T00:00:04","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90\/"},"modified":"2023-07-15T00:00:04","modified_gmt":"2023-07-15T00:00:04","slug":"%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90\/","title":{"rendered":"\u4ec0\u4e48\u662f\u65b9\u5dee\u5206\u6790\uff1f"},"content":{"rendered":"<p>\u65b9\u5dee\u5206\u6790 (ANOVA) \u662f\u4e00\u79cd\u7edf\u8ba1\u6280\u672f\uff0c\u7528\u4e8e<strong>\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u7684\u5e73\u5747\u503c<\/strong>\u3002\u5b83\u7528\u4e8e\u786e\u5b9a\u7ec4\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\u4ee5\u53ca\u54ea\u4e00\u7ec4\u4e0d\u540c\u3002<\/p>\n<p>\u5728\u65b9\u5dee\u5206\u6790\u4e2d\uff0c\u6bd4\u8f83\u7ec4\u4e4b\u95f4\u7684<a href=\"https:\/\/mathority.org\/cn\/\u65b9\u5dee\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u65b9\u5dee<\/a>\u4ee5\u786e\u5b9a<strong>\u5e73\u5747\u503c\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02<\/strong>\u3002\u79f0\u4e3a F \u7684\u7edf\u8ba1\u68c0\u9a8c\u7528\u4e8e\u786e\u5b9a\u89c2\u5bdf\u5230\u7684\u5dee\u5f02\u662f\u5426\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/p>\n<p>\u8be5\u516c\u5f0f\u5e94\u7528\u4e8e\u79d1\u5b66\u7814\u7a76\u3001\u533b\u5b66\u3001\u5fc3\u7406\u5b66\u3001\u7ecf\u6d4e\u548c\u5de5\u4e1a\u7b49\u591a\u4e2a\u9886\u57df\u3002\u901a\u5e38\uff0c\u5b83\u7528\u4e8e\u5206\u6790\u6765\u81ea\u591a\u4e2a\u7ec4\u7684\u6570\u636e\u5e76\u5f97\u51fa\u5173\u4e8e<strong>\u5b83\u4eec\u4e4b\u95f4\u5dee\u5f02\u7684<\/strong>\u7ed3\u8bba\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4e3a\u4e86\u8bc4\u4f30\u7cd6\u5c3f\u75c5\u836f\u7269\u662f\u5426\u6709\u6548\uff0c\u79d1\u5b66\u5bb6\u4f7f\u7528\u65b9\u5dee\u5206\u6790\u6765\u7814\u7a76\u836f\u7269\u4e0e\u8840\u6db2\u4e2d\u7cd6\u542b\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e3a\u6837\u672c\u4fdd\u7559\u7684\u7fa4\u4f53\u5bf9\u5e94\u4e8e\u4e00\u7ec4\u60a3\u8005\u3002\u968f\u540e\uff0c\u5c06\u6837\u672c\u5206\u4e3a\u4e0d\u540c\u7684\u7ec4\uff0c\u5e76\u5728\u89c4\u5b9a\u7684\u65f6\u95f4\u5185\u7ed9\u4e88\u6bcf\u7ec4\u7279\u5b9a\u7684\u836f\u7269\u3002\u5728\u6b64\u8fc7\u7a0b\u7ed3\u675f\u65f6\uff0c\u5c06\u6d4b\u91cf\u6bcf\u4e2a\u4eba\u8840\u6db2\u4e2d\u7684\u7cd6\u542b\u91cf\u3002<\/p>\n<p>\u6839\u636e\u7ed3\u679c\u786e\u5b9a\u6bcf\u7ec4\u7684\u5e73\u5747\u8840\u7cd6\u6c34\u5e73\u3002\u6b64\u65f6\uff0c<strong>\u65b9\u5dee\u5206\u6790\u5141\u8bb8\u60a8\u6bd4\u8f83\u6240\u6709\u7ec4\u5747\u503c\uff0c\u770b\u770b\u5b83\u4eec\u662f\u5426\u76f8\u4f3c<\/strong>\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_significa_la_terminologia_ANOVA\">\u65b9\u5dee\u5206\u6790\u4e00\u8bcd\u662f\u4ec0\u4e48\u610f\u601d\uff1f<\/span><\/h2>\n<p>\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u65b9\u5dee\u5206\u6790\uff0c\u6709\u5fc5\u8981\u8ba8\u8bba\u4e00\u4e0b\u5b83\u7684\u672f\u8bed\u3002\u90a3\u4e48\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u8fd9\u4ee3\u8868\u4ec0\u4e48\u3002<\/p>\n<ul>\n<li><strong>\u56e0\u53d8\u91cf<\/strong>\uff1a\u8fd9\u662f\u81ea\u53d8\u91cf\u6d4b\u91cf\u548c\u5f71\u54cd\u7684\u5143\u7d20\u3002<\/li>\n<li><strong>\u81ea\u53d8\u91cf<\/strong>\uff1a\u53ef\u4ee5\u662f\u4e00\u4e2a\u6216\u591a\u4e2a\u56e0\u53d8\u91cf\u3002\u4e0e\u56e0\u53d8\u91cf\u4e00\u6837\uff0c\u540e\u8005\u4e5f\u88ab\u6d4b\u91cf\uff0c\u4f46\u5b83\u4e0d\u53d7\u5f71\u54cd\uff0c\u76f8\u53cd\uff0c\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u63d0\u5230\u7684\uff0c\u5b83\u5f71\u54cd\u56e0\u53d8\u91cf\u3002<\/li>\n<li><strong>\u96f6\u5047\u8bbe (HO)\uff1a<\/strong>\u53d1\u751f\u5728\u5747\u503c\u4e4b\u95f4\u6ca1\u6709\u533a\u522b\u7684\u60c5\u51b5\u4e0b\u3002\u6839\u636e\u65b9\u5dee\u5206\u6790\u7684\u7ed3\u679c\uff0c\u63a5\u53d7\u6216\u62d2\u7edd\u5047\u8bbe\u3002<\/li>\n<li><strong>\u5907\u62e9\u5047\u8bbe (H1)\uff1a<\/strong>\u53d1\u751f\u5728\u5047\u5b9a\u5747\u503c\u548c\u7ec4\u4e4b\u95f4\u7684\u5dee\u5f02\u4e4b\u524d\u3002<\/li>\n<li><strong>\u56e0\u7d20\u548c\u6c34\u5e73<\/strong>\uff1a\u81ea\u53d8\u91cf\u4ee3\u8868\u5f71\u54cd\u56e0\u53d8\u91cf\u7684\u56e0\u7d20\u3002\u6c34\u5e73\u51b3\u5b9a\u4e86\u8c03\u67e5\u4e2d\u4f7f\u7528\u7684\u81ea\u53d8\u91cf\u7684\u4e0d\u540c\u503c\u3002<\/li>\n<li><strong>\u56fa\u5b9a\u56e0\u7d20\u6a21\u578b<\/strong>\u2014\u2014\u4e00\u4e9b\u7814\u7a76\u4f7f\u7528\u4e00\u7ec4\u7b80\u5355\u7684\u56e0\u7d20\u6c34\u5e73\u3002\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\uff0c\u56fa\u5b9a\u56e0\u7d20\u6d4b\u8bd5\u53ef\u4ee5\u5206\u6790\u836f\u7269\u7684\u4e09\u79cd\u4e0d\u540c\u5242\u91cf\uff0c\u5e76\u4e14\u4e0d\u9700\u8981\u989d\u5916\u5242\u91cf\u7684\u53c2\u4e0e\u3002<\/li>\n<li><strong>\u968f\u673a\u56e0\u5b50\u6a21\u578b<\/strong>&#8211; \u8be5\u6a21\u578b\u6839\u636e\u81ea\u53d8\u91cf\u4e2d\u7684\u6240\u6709\u73b0\u6709\u503c\u751f\u6210\u968f\u673a\u6c34\u5e73\u503c\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span id=\"Para_que_sirve_el_analisis_de_la_varianza\">\u65b9\u5dee\u5206\u6790\u7684\u7528\u9014\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n<p>\u60a8\u6709\u6ca1\u6709\u60f3\u8fc7\u65b9\u5dee\u5206\u6790\u7684\u7528\u9014\u662f\u4ec0\u4e48\uff1f\u4e8b\u5b9e\u4e0a\uff0c\u5b83\u662f\u7edf\u8ba1\u7684\u57fa\u672c\u5de5\u5177\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u5c31\u7b80\u5355\u7684\u89e3\u91ca\u4e00\u4e0b\u5b83\u7684\u7528\u5904\u3002<\/p>\n<p>\u5047\u8bbe\u60a8\u6709\u591a\u4e2a\u7ec4\uff0c\u5e76\u4e14\u60a8\u60f3\u77e5\u9053\u5b83\u4eec\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002\u65b9\u5dee\u5206\u6790\u53ef\u4ee5\u8ba9\u60a8\u505a\u5230\u8fd9\u4e00\u70b9\u3002\u7b80\u5355\u6765\u8bf4\uff0c\u5c31\u662f<strong>\u6bd4\u8f83\u51e0\u79cd\u86cb\u7cd5\uff0c\u627e\u51fa\u54ea\u4e00\u79cd\u6700\u597d\u5403<\/strong>\u3002<\/p>\n<p>\u65b9\u5dee\u5206\u6790\u68c0\u67e5\u7ec4\u4e4b\u95f4\u7684\u5dee\u5f02\uff0c\u5e76\u786e\u5b9a\u8fd9\u4e9b\u5dee\u5f02\u662f\u5426\u5927\u5230\u8db3\u4ee5<strong>\u88ab\u8ba4\u4e3a\u662f\u663e\u7740\u7684\uff0c\u6216\u8005\u4ec5\u4ec5\u662f\u5076\u7136\u7684\u7ed3\u679c<\/strong>\u3002<\/p>\n<p>\u6362\u53e5\u8bdd\u8bf4\uff0c\u8fd9\u5c31\u50cf\u79f0\u86cb\u7cd5\u7684\u91cd\u91cf\uff0c\u770b\u54ea\u4e00\u4e2a\u66f4\u91cd\u3002\u5982\u679c\u5dee\u5f02\u5f88\u5927\uff0c\u60a8\u53ef\u4ee5\u81ea\u4fe1\u5730\u8bf4\u7ec4\u4e4b\u95f4\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002\u5982\u679c\u5dee\u5f02\u5f88\u5c0f\uff0c\u5219\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u6765\u65ad\u5b9a\u5b58\u5728\u771f\u6b63\u7684\u5dee\u5f02\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_significa_la_F_en_la_prueba_de_ANOVA\">\u65b9\u5dee\u5206\u6790\u4e2d\u7684 F \u662f\u4ec0\u4e48\u610f\u601d\uff1f<\/span><\/h2>\n<p> ANOVA\u68c0\u9a8c\u4e2d\u7684\u201cF\u201d\u4ee3\u8868F\u7edf\u8ba1\u91cf\uff0c\u5b83\u662f<strong>\u901a\u8fc7\u8ba1\u7b97\u7ec4\u95f4\u53d8\u5f02\u6027\u548c\u7ec4\u5185\u53d8\u5f02\u6027\u7684\u6bd4\u7387\u5f97\u5230\u7684\u7ed3\u679c<\/strong>\u3002<\/p>\n<p>\u5728\u65b9\u5dee\u5206\u6790\uff08ANOVA\uff09\u4e2d\uff0cF\u7edf\u8ba1\u91cf\u7528\u4e8e\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u7684\u5747\u503c\u5e76<strong>\u786e\u5b9a\u5b83\u4eec\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02<\/strong>\u3002\u9ad8 F \u503c\u8868\u660e\u4e0e\u7ec4\u5185\u53d8\u5f02\u6027\u76f8\u6bd4\uff0c\u7ec4\u95f4\u53d8\u5f02\u6027\u66f4\u5927\uff0c\u8868\u660e\u81f3\u5c11\u6709\u4e24\u4e2a\u5e73\u5747\u503c\u4e0d\u540c\u5e76\u4e14\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Como_se_hace_el_analisis_de_la_varianza\">\u65b9\u5dee\u5206\u6790\u662f\u5982\u4f55\u8fdb\u884c\u7684\uff1f<\/span><\/h2>\n<p>\u8981\u8fdb\u884c\u65b9\u5dee\u5206\u6790\uff0c\u8be5\u8fc7\u7a0b\u4e3b\u8981\u5305\u62ec<strong>\u5206\u6790 &#8211; \u6d4b\u91cf\u503c\u6bd4\u8f83 &#8211; \u56e0\u7d20\u7684\u65b9\u5dee\u5206\u6790<\/strong>\u3002\u8ba9\u6211\u4eec\u4e00\u6b65\u6b65\u4ed4\u7ec6\u89c2\u5bdf\uff0c\u4ee5\u4fbf\u66f4\u597d\u5730\u7406\u89e3\u3002<\/p>\n<p><strong>\u7b2c 1 \u6b65<\/strong>\uff1a\u63d0\u51fa\u5047\u8bbe<\/p>\n<p>\u5efa\u7acb\u539f\u5047\u8bbe (H0)\uff0c\u5373\u7ec4\u5747\u503c\u4e4b\u95f4\u4e0d\u5b58\u5728\u663e\u7740\u5dee\u5f02\uff0c\u5e76\u5efa\u7acb\u5907\u62e9\u5047\u8bbe (H1)\uff0c\u8868\u660e\u81f3\u5c11\u6709\u4e24\u4e2a\u5747\u503c\u4e0d\u540c\u3002<\/p>\n<p><strong>\u7b2c 2 \u6b65<\/strong>\uff1a\u6536\u96c6\u6570\u636e<\/p>\n<p>\u4ece\u60a8\u60f3\u8981\u6bd4\u8f83\u7684\u4e0d\u540c\u7ec4\u4e2d\u83b7\u53d6\u6570\u636e\u3002\u786e\u4fdd\u81f3\u5c11\u6709\u4e09\u4e2a\u7ec4\u80fd\u591f\u5e94\u7528\u65b9\u5dee\u5206\u6790\u3002<\/p>\n<p><strong>\u6b65\u9aa4 3<\/strong> \uff1a\u8ba1\u7b97\u5e73\u65b9\u548c<\/p>\n<p>\u8ba1\u7b97\u7ec4\u95f4\u5e73\u65b9\u548c (SSG)\uff08\u7ec4\u5747\u503c\u4e4b\u95f4\u7684\u53d8\u5f02\u6027\uff09\u548c\u7ec4\u5185\u5e73\u65b9\u548c (SSD)\uff08\u6bcf\u7ec4\u5185\u6570\u636e\u7684\u53d8\u5f02\u6027\uff09\u3002<\/p>\n<p><strong>\u6b65\u9aa4 4<\/strong> \uff1a\u8ba1\u7b97\u81ea\u7531\u5ea6<\/p>\n<p>\u786e\u5b9a SSG \u548c SSD \u7684\u81ea\u7531\u5ea6\u3002\u81ea\u7531\u5ea6\u7528\u4e8e\u786e\u5b9aF\u5206\u5e03\u8868\u4e2d\u7684\u4e34\u754c\u503c\u3002<\/p>\n<p><strong>\u6b65\u9aa4 5<\/strong> \uff1a\u8ba1\u7b97 F \u7edf\u8ba1\u91cf<\/p>\n<p>\u5e94\u7528\u65b9\u5dee\u5206\u6790\u516c\u5f0f\uff1aF = SSG \u00f7 SSD\u3002\u5c06\u7ec4\u95f4\u7684\u5e73\u65b9\u548c\u9664\u4ee5\u7ec4\u5185\u7684\u5e73\u65b9\u548c\u3002<\/p>\n<p><strong>\u6b65\u9aa46<\/strong> \uff1a\u4e0e\u4e34\u754c\u503c\u6bd4\u8f83<\/p>\n<p>\u5c06 F \u7684\u8ba1\u7b97\u503c\u4e0e\u663e\u7740\u6027\u6c34\u5e73\u7684 F \u5206\u5e03\u8868\u7684\u4e34\u754c\u503c\uff08\u901a\u5e38\u4e3a 0.05 \u6216 0.01\uff09\u8fdb\u884c\u6bd4\u8f83\u3002\u5982\u679c F \u7684\u8ba1\u7b97\u503c\u5927\u4e8e\u4e34\u754c\u503c\uff0c\u5219\u62d2\u7edd\u96f6\u5047\u8bbe\uff0c\u8868\u660e\u7ec4\u5747\u503c\u4e2d\u81f3\u5c11\u6709\u4e24\u4e2a\u4e4b\u95f4\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/p>\n<p><strong>\u7b2c 7 \u6b65<\/strong>\uff1a\u89e3\u91ca\u7ed3\u679c<\/p>\n<p>\u6839\u636e\u63d0\u51fa\u7684\u4e0d\u540c\u5047\u8bbe\u89e3\u91ca\u7ed3\u679c\u3002\u5982\u679c\u539f\u5047\u8bbe\u88ab\u62d2\u7edd\uff0c\u60a8\u53ef\u4ee5\u5f97\u51fa\u7ed3\u8bba\uff0c\u60a8\u6b63\u5728\u6bd4\u8f83\u7684\u7ec4\u4e2d\u81f3\u5c11\u6709\u4e24\u4e2a\u4e0d\u540c\u7684\u5747\u503c\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cual_es_la_formula_de_ANOVA\">\u65b9\u5dee\u5206\u6790\u516c\u5f0f\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n<p>\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u63d0\u5230\u7684\uff0c\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\u5e76\u786e\u5b9a\u5b83\u4eec\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/p>\n<p>\u65b9\u5dee\u5206\u6790\u516c\u5f0f\u4e3a\uff1a<\/p>\n<p class=\"has-text-align-center\"> <strong>F = (SSG \u00f7 k-1) \u00f7 (SSD \u00f7 Nk)<\/strong><\/p>\n<p>\u91d1\u5b50\uff1a<\/p>\n<p> <strong>F<\/strong> \uff1a\u8fd9\u662f F \u7edf\u8ba1\u91cf\uff0c\u901a\u8fc7\u5c06\u7ec4\u95f4\u53d8\u5f02\u6027 (SSG) \u9664\u4ee5\u7ec4\u5185\u53d8\u5f02\u6027 (SSD) \u83b7\u5f97\u3002<\/p>\n<p> <strong>SSG<\/strong> \uff1a\u8fd9\u662f\u7ec4\u4e4b\u95f4\u7684\u5e73\u65b9\u548c\uff0c\u5b83\u8861\u91cf\u7ec4\u5e73\u5747\u503c\u4e4b\u95f4\u7684\u53d8\u5f02\u6027\u3002<\/p>\n<p> <strong>k<\/strong> \uff1a\u8fd9\u662f\u6bd4\u8f83\u7684\u7ec4\u6570\u3002<\/p>\n<p> <strong>SSD<\/strong> \uff1a\u8fd9\u662f\u7ec4\u5185\u7684\u5e73\u65b9\u548c\uff0c\u5b83\u8861\u91cf\u6bcf\u4e2a\u7ec4\u5185\u7684\u53d8\u5f02\u6027\u3002<\/p>\n<p> <strong>N<\/strong> \uff1a\u8fd9\u662f\u6240\u6709\u7ec4\u4e2d\u7684\u89c2\u5bdf\u603b\u6570\u3002<\/p>\n<p> <strong>k-1<\/strong> \uff1a\u8fd9\u662f\u7ec4\u4e4b\u95f4\u7684\u81ea\u7531\u5ea6\u6570\uff0c\u5b83\u662f\u901a\u8fc7\u4ece\u7ec4\u6570\u4e2d\u51cf\u53bb 1 \u5f97\u5230\u7684\u3002<\/p>\n<p> <strong>Nk<\/strong> \uff1a\u8fd9\u662f\u7ec4\u5185\u7684\u81ea\u7531\u5ea6\u6570\uff0c\u5b83\u662f\u901a\u8fc7\u4ece\u89c2\u5bdf\u603b\u6570\u4e2d\u51cf\u53bb\u7ec4\u6570\u800c\u83b7\u5f97\u7684\u3002<\/p>\n<p>\u603b\u4e4b\uff0cANOVA\u516c\u5f0f\u6bd4\u8f83\u4e86\u7ec4\u95f4\u53d8\u5f02\u6027\u548c\u7ec4\u5185\u53d8\u5f02\u6027\uff0c\u5e76\u4e14F\u7edf\u8ba1\u91cf\u662f\u901a\u8fc7\u5c06\u8fd9\u4e24\u4e2a\u53d8\u5f02\u6027\u76f8\u9664\u5f97\u5230\u7684\u3002 F \u503c\u8f83\u9ad8\u8868\u793a\u7ec4\u5e73\u5747\u503c\u4e4b\u95f4\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cuales_son_las_limitaciones_del_analisis_de_la_varianza\">\u65b9\u5dee\u5206\u6790\u7684\u5c40\u9650\u6027\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n<p>\u5c3d\u7ba1\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u8d44\u6e90\uff0c\u4f46\u5e94\u8be5\u6ce8\u610f\u7684\u662f\uff0c\u5b83\u6709\u4e00\u4e9b\u9700\u8981\u7262\u8bb0\u7684\u5c40\u9650\u6027\u3002\u73b0\u5728\u8ba9\u6211\u4eec\u6765\u770b\u770b\u5176\u4e2d\u7684\u4e00\u4e9b\u3002<\/p>\n<ul>\n<li>\u5b83\u4ec5\u68c0\u67e5<strong>\u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u5dee\u5f02<\/strong>\u3002\u5b83\u6ca1\u6709\u8003\u8651\u5176\u4ed6\u7edf\u8ba1\u6307\u6807\uff0c\u4f8b\u5982<a href=\"https:\/\/mathority.org\/cn\/\u7edf\u8ba1\u79bb\u6563\u5ea6\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u5206\u6563\u5ea6<\/a>\u6216\u6570\u636e\u5206\u5e03\u7684\u5f62\u72b6\u3002<\/li>\n<li><strong>\u5b83\u57fa\u4e8e\u7edf\u8ba1\u5047\u8bbe<\/strong>\uff0c\u4f8b\u5982\u6570\u636e\u7684\u6b63\u6001\u6027\u548c\u65b9\u5dee\u7684\u540c\u8d28\u6027\u3002\u5982\u679c\u4e0d\u6ee1\u8db3\u8fd9\u4e9b\u5047\u8bbe\uff0c\u7ed3\u679c\u53ef\u80fd\u4e0d\u53ef\u9760\u3002<\/li>\n<li>\u65b9\u5dee\u5206\u6790\u53ea\u80fd\u8bc6\u522b\u7ec4\u95f4\u7684\u7edf\u8ba1\u5dee\u5f02\uff0c\u4f46<strong>\u4e0d\u80fd\u5efa\u7acb\u56e0\u679c\u5173\u7cfb<\/strong>\u3002\u53ef\u80fd\u8fd8\u6709\u5176\u4ed6\u56e0\u7d20\u6216\u6df7\u6742\u53d8\u91cf\u5f71\u54cd\u7ed3\u679c\u3002<\/li>\n<li>\u65b9\u5dee\u5206\u6790\u9002\u7528\u4e8e\u6570\u503c\u6570\u636e<strong>\uff0c\u4e0d\u9002\u7528\u4e8e\u5206\u7c7b\u6216\u5b9a\u6027\u6570\u636e<\/strong>\u3002<\/li>\n<li>\u5b83\u4ec5\u786e\u5b9a\u81f3\u5c11\u4e24\u4e2a\u7ec4\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\uff0c\u4f46<strong>\u5e76\u4e0d\u5177\u4f53\u8bc6\u522b\u5f7c\u6b64\u4e0d\u540c\u7684\u7ec4<\/strong>\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span id=\"Ejemplo_de_analisis_de_la_varianza\">\u65b9\u5dee\u5206\u6790\u793a\u4f8b<\/span><\/h2>\n<p>\u73b0\u5728\uff0c\u662f\u65f6\u5019\u89e3\u91ca\u4e00\u4e2a\u7b80\u5355\u4f46\u6e05\u6670\u7684\u793a\u4f8b\uff0c\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u65b9\u5dee\u5206\u6790\u3002\u5927\u80c6\u8bd5\u8bd5\u5427\uff01<\/p>\n<p>\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u6bd4\u8f83\u4e09\u4e2a\u79d1\u76ee\u7684\u5e73\u5747\u6210\u7ee9\uff1a\u6570\u5b66\u3001\u5386\u53f2\u548c\u79d1\u5b66\u3002\u6211\u4eec\u6bcf\u4e2a\u79d1\u76ee\u6709 10 \u540d\u5177\u6709\u4ee5\u4e0b\u8d44\u683c\u7684\u5b66\u751f\uff1a<\/p>\n<p class=\"has-text-align-center\">\u6570\u5b66\uff1a80\u300185\u300190\u300195\u3001100\u3001105\u3001110\u3001115\u3001120\u3001125<\/p>\n<p class=\"has-text-align-center\">\u5386\u53f2\uff1a75\u300180\u300185\u300190\u300195\u3001100\u3001105\u3001110\u3001115\u3001120<\/p>\n<p class=\"has-text-align-center\">\u79d1\u5b66\uff1a78\u300183\u300188\u300193\u300198\u3001103\u3001108\u3001113\u3001118\u3001123<\/p>\n<p><strong>\u6b65\u9aa4 1<\/strong> \uff1a\u5b9a\u4e49\u7814\u7a76\u76ee\u6807\u5e76\u5efa\u7acb\u5047\u8bbe<\/p>\n<p>\u6211\u4eec\u60f3\u77e5\u9053\u8fd9\u4e09\u4e2a\u79d1\u76ee\u7684\u5e73\u5747\u6210\u7ee9\u662f\u5426\u5b58\u5728\u5dee\u5f02\u3002\u6211\u4eec\u7684\u539f\u5047\u8bbe (H0) \u662f\u4e0d\u5b58\u5728\u663e\u7740\u5dee\u5f02\uff0c\u800c\u6211\u4eec\u7684\u5907\u62e9\u5047\u8bbe (H1) \u662f\u81f3\u5c11\u4e00\u95e8\u79d1\u76ee\u7684\u6210\u7ee9\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/p>\n<p><strong>\u7b2c 2 \u6b65<\/strong>\uff1a\u6536\u96c6\u548c\u6574\u7406\u6570\u636e<\/p>\n<p>\u6211\u4eec\u6c47\u603b\u4e86\u6bcf\u4e2a\u79d1\u76ee\u7684\u6210\u7ee9\u5e76\u5c06\u5176\u7ec4\u7ec7\u5728\u8868\u683c\u4e2d\uff0c\u5982\u4e0a\u6240\u793a\u3002<\/p>\n<p><strong>\u7b2c 3 \u6b65<\/strong>\uff1a\u8ba1\u7b97\u63cf\u8ff0\u6027\u7edf\u8ba1\u6570\u636e<\/p>\n<p>\u6211\u4eec\u8ba1\u7b97\u6bcf\u4e2a\u79d1\u76ee\u6210\u7ee9\u7684\u5747\u503c\u548c\u65b9\u5dee\uff1a<\/p>\n<p class=\"has-text-align-center\">\u6570\u5b66\u5e73\u5747\u7ee9\u70b9\uff1a100<\/p>\n<p class=\"has-text-align-center\">\u6570\u5b66\u504f\u5dee\uff1a625<\/p>\n<p class=\"has-text-align-center\">\u5e73\u5747\u5386\u53f2\u8bb0\u5f55\uff1a95<\/p>\n<p class=\"has-text-align-center\">\u5386\u53f2\u5dee\u8ddd\uff1a625<\/p>\n<p class=\"has-text-align-center\">\u5e73\u5747\u79d1\u5b66\uff1a100<\/p>\n<p class=\"has-text-align-center\">\u79d1\u5b66\u5dee\u8ddd\uff1a625<\/p>\n<p><strong>\u6b65\u9aa4 4<\/strong> \uff1a\u6267\u884c\u65b9\u5dee\u5206\u6790<\/p>\n<p>\u6211\u4eec\u4f7f\u7528\u7edf\u8ba1\u8f6f\u4ef6\u6216\u8ba1\u7b97\u5668\u6765\u8fdb\u884c\u65b9\u5dee\u5206\u6790\u3002\u5047\u8bbe\u6211\u4eec\u5f97\u5230\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/p>\n<p class=\"has-text-align-center\"> F \u7edf\u8ba1\u91cf\uff1a1.5<\/p>\n<p class=\"has-text-align-center\"> p \u503c\uff1a0.25<\/p>\n<p><strong>\u7b2c 5 \u6b65<\/strong>\uff1a\u89e3\u91ca\u7ed3\u679c\uff1a<\/p>\n<p>\u7531\u4e8e p \u503c (0.25) \u5927\u4e8e\u5148\u524d\u5efa\u7acb\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u4f8b\u5982 0.05\uff09\uff0c\u56e0\u6b64\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u7edf\u8ba1\u8bc1\u636e\u6765\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u6211\u4eec\u7684\u7ed3\u8bba\u662f\uff0c\u8fd9\u4e09\u4e2a\u79d1\u76ee\u7684\u5e73\u5747\u6210\u7ee9\u6ca1\u6709\u663e\u7740\u5dee\u5f02\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u8fd9\u53ea\u662f\u4e00\u4e2a\u793a\u4f8b\uff0c\u7ed3\u679c\u53ef\u80fd\u4f1a\u6839\u636e\u6240\u4f7f\u7528\u7684\u6570\u636e\u548c\u663e\u7740\u6027\u6c34\u5e73\u800c\u6709\u6240\u4e0d\u540c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u65b9\u5dee\u5206\u6790 (ANOVA) \u662f\u4e00\u79cd\u7edf\u8ba1\u6280\u672f\uff0c\u7528\u4e8e\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u7684\u5e73\u5747\u503c\u3002\u5b83\u7528\u4e8e\u786e\u5b9a\u7ec4\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\u4ee5\u53ca\u54ea &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90\/\"> <span class=\"screen-reader-text\">\u4ec0\u4e48\u662f\u65b9\u5dee\u5206\u6790\uff1f<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[23],"tags":[],"class_list":["post-206","post","type-post","status-publish","format-standard","hentry","category-23"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4ec0\u4e48\u662f\u65b9\u5dee\u5206\u6790\uff1f -Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u65b9\u5dee\u5206\u6790\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4ec0\u4e48\u662f\u65b9\u5dee\u5206\u6790\uff1f -Mathority\" \/>\n<meta property=\"og:description\" content=\"\u65b9\u5dee\u5206\u6790 (ANOVA) \u662f\u4e00\u79cd\u7edf\u8ba1\u6280\u672f\uff0c\u7528\u4e8e\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u7684\u5e73\u5747\u503c\u3002\u5b83\u7528\u4e8e\u786e\u5b9a\u7ec4\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\u4ee5\u53ca\u54ea &hellip; \u4ec0\u4e48\u662f\u65b9\u5dee\u5206\u6790\uff1f \u67e5\u770b\u5168\u6587 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