MinitabUG 发表于 2022-2-28 11:42:31

为什么化学工程师应该了解方差分析

一般来说,如果您是一名化学工程师,您可能正在开发和设计化工制造工艺。与其他工程师不同,化学工程师可能需要应用化学、生物学、物理学和数学原理来解决与化学品、燃料、药物、食品和许多其他产品的生产或使用相关的问题。因为将所有时间都用在了科学方面,如果您没有如所希望的在统计上花费足够时间,请不必担心,Minitab 随时为您服务!现在,让我们谈谈为什么方差分析 (ANOVA) 可以成为化学工程师的秘密武器。 为什么您应该了解方差分析 许多工业应用都需要进行实验,其目的是了解组之间是否存在差异。在统计方面,我们考虑一个因子(比如:催化剂类型)并且想了解该因子的各水平(比如:催化剂 1、2、 3 和 4)之间在统计意义上是否有显著差异。当各组的测量是连续的并且满足某些其他假设时,我们使用方差分析来比较各组的平均值。从某种意义上说,“方差分析”这个用词并不恰当,因为我们比较的是各组的均值。然而,通过分析组水平内和组间数据的变化,我们可以确定组均值是否在统计意义上不同。方差分析检验总体均值(以符号 μ 表示)均相等的原假设。我们将使用样本均值来估计总体均值。如果这个原假设被否定,那么得出的结论是总体均值并不完全相等。原假设:Ho: μCatalyst 1 = μCatalyst 2 = μCatalyst 3 = μCatalyst 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 简单地说,我们假设各组的均值相等,我们收集证据来证明这一点,即如果我们观察到这些均值之间存在较大差异,则更有可能否定此观点并假设组水平内存在差异。 单因子方差分析示例 想象一下,化学工程师想要比较使用四种不同催化剂的产品产量。 她将催化剂加热与产品一起反应。使用方差分析,工程师可以确定使用不同催化剂的产品产量是否有显著差异。 首先,工程师收集数据,如下所示。data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPQAAAHdCAYAAAAq+1S0AAAgAElEQVR4Ae2de+x2WVXf5w+bNE1IDWlNSVtMmlBqU0tQiRZj0GLAIEEkghhQHFRE2xJuQ7kGAbkGXkGU4gtYEAQhXIQiN5mClg5ymc5wERiQyzAwDAyDzDDDHU7zOfj9sX7rXeecfc5zzvOcs591kvfd5+y91tprf9f67r3P83vOec5r8kgEEoEqEPj2t7/dnFfFSHIQiUAi0CShMwkSgYoQSEJXFMwcSiKQhM4cSAQqQiAJXVEwcyiJQBI6cyARqAiBJHRFwcyhJAJJ6MyBRKAiBJLQFQUzh5IIJKEzBxKBihBIQlcUzBxKIpCEzhxIBCpCIAldUTBzKIlAEjpzIBGoCIEkdEXBzKEkAknozIFEoCIEktAVBTOHkggkoTMHEoGKEEhCVxTMHEoikITOHEgEKkIgCV1RMHMoiUASOnMgEagIgSR0RcHMoSQCSejMgUSgIgSS0BUFM4eSCCxG6Kuu+2rzHx7/v5t/dL/XnPPvnz74L5pbPOEtzX992Xubd13+9823vv3tjEQikAjMgMBBCO1JfssnvbW56GPXzDCc75j49Be/0vzBX32suf0fXNS879PXzmY3DSUCa0dgL4S+1VP+qnn5JZ9uXvu+q9p/L37Xp5rzX/j/mn/2319/snqzar/2/VfNgtd/eel7Wrs3edgbmvd8Kgk9C6hpZBMI7IXQd3r23zTXf+2b5wBy3Ve/0TzkVX/b/OP7/6+WgP/m0X/ZXPbZL50jN7YiCT0WsZSvBYGDEhoQv/7NbzX/7WXvPVmpH/rqv212vaVOQteSnjmOsQgcnNA4zLaY7TH31v/pqX/dXHPD10/G8ZWvf6t55aVXNrf7g4tOtuis6P/xCW9p/vjtl7cTgoRFZH+PzjUf0PFBHQcfwv3lhz7X3PV572r+5SPeeDKZ3Owxb24e9/rLmhuC3YT6yDIRWDMCqyD0l776jeYOz3p7S6x/9Yg3Nn/7metOMLv/y993QriIqA98xftPSF1K6Gf/n4/32rzz2Xc0137lGyc+5EkisBUEVkFottj3fcmlLcn8B1lsx+/ynHc2f/PxLzRf/ca32u34Bz5zXXObp7/tHHlIyCp87xdd0rb9i4e9oXnLh69u666+/msnfx575ls/1uq/4QOfPbm3/+QXvtzc4/kXt3rsAGjLIxHYGgKrIDSgaXX1hOZPUNE99V+8/6qWfKzar7jkylO4d9mSEKTn3t0fl37q2oZJAJuPf8OHfXNeJwKrR2AVhGblvfsfv7slkic0CLLyXnjZ1c1jX/ehhu3wzR97YfNPHvDaE0Kz4tpjiNDI0id/+37yX36kuecLLm7+/e9e2PCnM23rsZFHIrA1BFZBaD4E48MwyASxrrz2Ky2OrMz/8+2Xn3wYJrJBZu61dT2W0EwO//qR39XHDttsbOpPaEnoraVy+gsCqyA097k3etB3Vtz7vPjS5hvf+s5XQbmP1arJCs7XRPVh1Rs/+LlJhOabYzd91JtaXe7D6ZsJhcnDftqehE6CbBGBgxP6Czd8vbnt7//flmCQ968+8vkWR/tB2b99zJuby6/58il87T30mBX66W/5aNvXjS94XfOOT3zhlE17D52EPgVNXmwEgYMS+oq//3Lzn5/xHTKz7bV/guKbZXzDjHq7DQdX/2WUMYSGqNjkwy8IrIMJ5Pff+h2y056EFjJZbgmBvRDaf5eb+2LIaj/Y4k9N2k4DIATTN8i4r33imz7ctn/uS19rHvO6D53c60I+T+iHv+YDLWlp+903XNbek7/q0ivbrTWy1POPP5Vhj36fe9HlJ9t72pLQW0rj9FUI7IXQIlBU8oAGT0bxjTB/8Lfnf24e4JA+98B8o0vXntBs23XvLRl9U+wT19zQfkquepXIM1HoG2tJaB+NvN4CAgchNF+35KucPHXFAxp9xzs/8fftY5Cs5vy74//4m+bDn72+6ftQjNX9Ne/9TPPvHnthS3r07va8d53sAD569fXtn8kgMav/rZ/2183bPnpNfijWF4hs2wQCixF6E6NPJxOByhBIQlcW0BzOcSOQhD7u+OfoK0MgCV1ZQHM4x41AEvq445+jrwyBJHRlAc3hHDcCSejjjn+OvjIEktCVBTSHc9wIJKGPO/45+soQSEJXFtAcznEjkIQ+7vjn6CtDIAldWUBzOMeNQBL6uOOfo68MgSR0ZQHN4Rw3Akno445/jr4yBJLQlQU0h3PcCCShjzv+OfrKEEhCVxbQHM5xI5CEPu745+grQyAJXVlAczjHjUAS+rjjn6OvDIEkdGUBzeEcNwJJ6OOOf46+MgSS0JUFNIdz3AgkoY87/jn6yhBIQlcW0BxOOQJf/vKXm9/8zd9szjvvvOZtb3tbueKKJZPQKw5OTa5Z8kAg/fv+7//+5td+7deaiy66qPnWt879fbMlMbA+JaGXRDptV4eAJY/IbMsb3ehGzVOe8pTmG9/o/62zOYGxPi1J6G9+85vNhRde2PzyL/9y8/a3v33OIZxjK1focyDJiiUQsOR50YtedNLF9ddf3zz5yU9uV+wf+IEfaN7//veftC19Yn1aktD76ge8ktBLZ03abxGwSW0JTePVV1/d/MzP/ExLat+2JHzWpyT0kkin7eoQsOTxpI3akGFLzodWH/jAB5q73e1uDdtybVm/+tWvNi9/+cvbiYB6ZG9zm9s0z3rWsxpWfX988pOfbB7wgAc03LMjf/755zcf+tCHzvlQjLpb3OIWze1vf/vm85///Ckz8umxj33sqXrvC/bvfOc7NxdffHEjHXt7oXEx7rmPXKHnRjTthQhEpJXgFVdc0fzET/xES8o3velNbbWIADHudKc7tW0QgZUUwv72b/92Wwd50OWfiH2ve93rFBmZEH70R3+0lYfQP/3TP93c/OY3b37sx36snQRkl47HEvpzn/tce28swmJTvjCGP//zP2/7o19kaL/d7W7XPPKRj2y+8pWvCILZyiT0bFCmoT4EIkLzqfZHP/rR5t73vneb7BD3s5/9bGtGhIYEv/Vbv9V84QtfaOtJ2Kc//emt/M/+7M+2+uoXW9Sh89znPretZvW83/3u19Zh57rrrmvr+fANGU0C2nKPITQfdj3qUY/q9OXNb35z25cdu/qRz3OXSei5EU17IQI2qbWa2ZJtLn+60iFCs9qxguvQ/TZEFGHURvmKV7yiJRifKEPej3zkI80P//APN9EHbrQjhx8i2hhCf+ITn2hufetbt7bf8573WDdOnduxq59TAjNeJKFnBDNNdSNgk/qWt7xlu+1k68mW+o/+6I9ObZGxIkJzD42uDhEOIkEof3zwgx9sfvAHf/DkHhgCQdhf+IVfaL74xS+eErc+iWiyX3IP3WfbdhT1Y9vnPE9Cz4lm2upEwCY1ZB06hgj9kz/5k82nP/3pc8x0EVortlWwPu1C6Mj2UD+2fc7zJPScaKatTgQseXYhNB9C8aHWTW5yk+Yd73jHOf297nWvO7XlZit8s5vdrP1Q7GMf+9gp+SuvvLK1FW25uQVgtdYBUR796Ee3tvUpt2xH23npUdqxa+Kw7XOeJ6HnRDNtdSJgk3oXQvNB1BOe8ISWWD/3cz/XfOpTnzrp034opj74MO3nf/7nW/nf+Z3fOdm+82GZ7FhC6x6dumc/+9knX0d95zvf2f45i3oR2o6JVfozn/nMKV90j2/lzp49237540Rw5pMk9MyAprkYAZvUIlss+Z1aZCCPv4em9aqrrmruete7tu3Rn60e/vCHn/pb9Gte85rmxje+cSvPn6u4d6f8lV/5lebud797W6+VE0LoU3T615+h+GDt/ve/fysrQuMLq/iP//iPh75onNh83OMed0rmggsuOJlc+nAY25aEHotYyk9CYE5C4wB/i+ZLJHyZBOJBbD5ge/3rX9+w+tqDJH/rW9/a3PGOd2xlITOkZTWOnrbC12c84xkt6bHNCn/JJZecfFBnCU0/3AY88YlPbPiwD3nsP/CBD2z4MosOZO573/u2Ewu+8ueur33ta2qerUxCzwZlGkoEDo9AEvrwMUgPEoHZEEhCzwZlGkoEDo9AEvrwMUgPEoHZEEhCzwZlGkoEDo9AEvrwMUgPEoHZEEhCzwZlGkoEDo9AEvrwMUgPEoHZEEhCzwZlGkoEDo9AEvrwMUgPEoHZEEhCzwZlGkoEDo9AEvrwMRjtAS+v4wF8vjeshwpGG0mFFoGPf/zjzR/+4R+e+t51KTR6GYJ/1LJLn1gRs+iBky6dsfV7I7QGw4DsP32RHWDXevCeq2c+85nNbW9725N3UOH3r/7qrzaXXnrp3t1OQseQ87yzXgaoJ52spH30kieyeAWRHs7gpYNjX9qXhD7vvPZpk5/6qZ86eYRN5GaW63svkw3Mvs55id3LXvay9tWv8tOXUeIM+cd7rnjrI78UMeVYmtD7/KWHKePv0mF1etrTntYuGDwhpRcLSl6E54UE5BrjRJ6XJbzkJS8Z/ZxyEvq8807e9SSQ7UPpvDd5iUfK1NeYkuT40z/905MVmWdneUMGj9bRBqle+cpXNq9+9avHmG1l9ayvfwyv1NDShLaPOm5tSy/S+pcIWrKzOs/xkztJ6IDQJPELXvCCdlblFax+Vi1N8rnlmMGZyVmRebOFf8Z2l/6S0Lug169riWvvVXmzCTvDodcF9Vs/3ZqE7iA0r3qBOP4+hvtqHhTnfpV2/VIh960EjoMVhNmYn1LhgXUdesUqbfq1Bdr0ipmut0Yig229YYI3Y5RMMhCeh+v5hQe9VJ0H3nlQnhWPQwngt+36UIV+eSk8Y9bD8ti6z33uc+pDG79C83tQJCrvzvK3Lex42PnQJ6+45fC4gi+3AF/60pdOHuL3PlpytEZW/J9WafveMd7BzZh4sQBbbR3skqj3uyXeEMp2XHEAI16KYH+VQ/FU/GST1R+s+cwF27yFlC09L1ngekksyaHz5MiSpT4Us69HpXPe1cQHGRCPXxnQweBFDMDUa2MAhPpXvepVrShvfuQNkD6Z+QUGZPnHhKHj3e9+d3vP1AcqweS1r+iyeyg5ND4S4J73vGf7ihy99oYVniTi9gLC2yRhXNTRJqIyPl46z8+sajKzL6GXHP7RL0nGB3R+rPit5AZjzu2vSJBwj3jEI9rJkAkRu/v+pYcSbMfKkFe6l4bAvNebFwt64mE3IjSvOOJ9ZeAJRrwuSB+2seiI1BGhIfOTnvSkVhd9vcKI/P7FX/zFtr4v98aO1cvvndAkOVsfALaEffGLX3xyX8MKwnuaAIGZVdtdSv3aAfq8tRGiPOxhD2uB0gdUDIoVFjIwS9uVX9td7HQdWt1FmC45W88raphE7G8cv/GNb2zH4F85Kx/8qsBO4E/+5E9OEgb72irii34mxhMaOf+Cefmmeq1MZ86cabF6yEMecoI3eDGhaCex5XtojdtOZI9//OPbMWtilQylJzQ59qAHPaiV54V+uteGxL/xG7/R1munExGaz1nIOXKbn5AFWw5ySr/qURWhSUz7jxnsfe97n8X4ZNvHqqPZUAIkvd7iqATngyls6kM1rbAPfehD2/c4iVAiv1/NZVulAoVNVsCph3YPfmXoInTUj3zGF01YEaH1Slo7NpKTn4GxW0/d3vifkbF910BoiKRVGuy0Q7Hj5NwTWrH3t3DIKm4sIMRFsja+epOoJlDbn3aNVRFaW26ShhmQVRiw2QrqEMisJv4gUHo/shJcwCoI3EeS2ABIAtMH99G6f45+RcH2o3c/kwiln2LjFy+FY+Vni2Z3IDbg9KPE8Cs0bddee23z2te+tk00Xnqn7fkQoW0C6xZDuNg/4dg3ZmKTF+fxulmtRPhQA6EZh1Zpxgm5wcgfyjXFQrdO6HT9EyGFr+JrcYvyRral732Z45oxHuwemiTiTwgAZ+9NBLIS0w4Uhz2hdQ/JSsQ9MoTRh166Z8aWiM52PAqu+rGBYYXTll/tvmS25g2UTBzcUjBpcW+Kn3xYpYBLr4vQ9t3P7FzAhPuxO9zhDi1GmsCiFRrb+nBMOxv1428vGA8f4OktmB5/O/5ddiga76HKknEo1zyhWWSoA3//j9tDPmzsI7R2j3bs1ROawdr7ZX0opj9jRWRiO32Pe9yjTXALGoQlMZ/3vOe1W2/palWGHM95znNa0pUkKb5AUP7x9+i+CUD33BDX7jTGbLntp9EvfOELT/or3XKDpSY2JhF2JBC7a6upRMNfPtMAO60qJUSQ/prLknF4QuundHSb1jc+T2gbq2hHwMQKztWu0IAFUdh6M1ASiw+BBBRkIrn1QRMrC6BQbz/1xY5W4l/6pV9qf59Xq5lA5lcMaSsJFPYgB5MAftHfgx/84Obv/u7v2q0pPrNKQnRIIH/tLyXi8/Of//xWv2uF5ssqbLE5bPLxcy463vve9578YoPG1LVCo6MPwfCdfvW5guyxC7CfS9xwww3Nr//6r7d+/tmf/VkrZn1Z+pce5NcSpR1H1yTuCa1Jkbizw7JYkX8vfelL21+0xF/F3cZX+DORkpM6+JyIuuoJzYD5rjQEZbB8qMBWnL/b6c8+/s9WAGh/ehQbWomxYT8Yog3SUc8/n+ACPCqvueaaE1JL35eQzPovX9kys0uA5Dbg9ENyMUlgi3tk7nFZGfSBiv4SwAR3l7vc5eRPUiWE1odj2KYP/RyLxkcC8wksfyrj7934iSwTHTsNDiYs/R0eG4xhqV96kF9LlFMIjR/cmhEzcAErPg/RZyI2lhGh+dBWO0hhB37k5GMe85jWZtUrtAKpLS4Avutd72qTii+Q8LdY6gAXspBol19+udROSpuE/kMvbaOwoT85nCgOnLDS8jfxe93rXid+ECj+PvnUpz61/dUETHz4wx9uf1qFNvzlSwj8/ZP7aZsEyDJhcYvAePCJe2Q+UONhgSc/+cmtPnbOP//8tl6rSAmhwUGf7toPwzRM3TtrsmRC4Vcf+CDQHvv6pQfb59znUwmNH/7LN8SUXGQh0Y4xIjS6LAT8qQwd4siXky6++OJ2IifeVRB67mClvRgBS+jorwSxVtbWggDx38un3LUAtvZx6NZjzu8sr33M6d93EUhCfxeLzZ+xldcHjHM9UbR5UI5sAIsQmj8P+X98Oq1/vm0N1/JtannIMfze7/1ec6tb3aq56U1vevJZA387PaRPvm/h6uv7rqVjyz75LbfNNe8sQmg+Oc1/+8PgR37kR5rv/d7vbb7ne76n+b7v+77mh37ohxL/jeXgqgk9l3NpJxFIBMYhsMgKPc6FlE4EEoG5EEhCz4Vk2kkEVoBAEnoFQUgXEoG5EEhCz4Vk2kkEVoBAEnoFQUgXEoG5EEhCz4Vk2kkEVoBAEnoFQUgXEoG5EEhCz4Xkgnb0/LOetlqwqzS9cQSOhtA8g8xjiFMOdHnszf/remh+Sh99OmsgtB4VFAZ6N1yf31trIz9KYsrECg5DsvbxTeT3gdlREFrPE48ltIgUBYKgDgXUJzT9j/UBG/Jj7hW61B/IzPvDKTmUqBEufsxbuBa+JSQtlZWcjTfxWxqzqgmtmVSrigV3KNGUtGN0hmyWEsjbUXIcitC8qIF/9tCKPXZSszYOfa4YKz9KCG1zqm/syPkXGai/ueNocaya0JZA9twC0HUO6HPPpmN9kG+HJrT8sOVSPtk+lj7XGCCmPe/qF5m73/3u7a+L8BaaLkKLuMTbHxHRvcwu11UT2gIzhkwKyJiZFFk709vXDhF428a5nSyidpssSjb5w1j87M9YvZyubd/Yjfqz/ljcus5lWz51yW2lXuOxuHvflUNDuxPlTxehx2Lt/ei7TkIH6AwFzKuQDASPQOrg2gdOCSEZSnSox4YOSGInBCWbyEPS2Xarpz69DjIis+Qjf9Q2VHb5MKS31nbh1UVo6oVtSX6AbTTpUi87S2CRhA5QLQlYoHaqChv2gyQaSwnkk0vXInS0Avi6qP9TDo7wx+sJH/nj27d4LYwjQvs2jT+S1dglQ8x1IM8P1iWhhcgOZSmZ6ELB6AtY5ArydnvLubXR54P6tPoijBJK1/TNuU0M9O0EIh0r433u88fL6pp+8dEmqtq2XAovGy/G4ydK6hQrL+vHLznFFMzQ6YuJtzH2OlfoADEF1xIoEDupUuBsoFRngx4RSH3ZLbTq1L+/pmNvH1m/xVMyKqGsL9iI/DkZVHCCPLa8nUB0c1XC2I8NXG1cGZjHfsxgoziN0R+STUJ3IETyeoJEoiIN8vaIgh4RKOpHydVHaPqSPfkgeeuHzmmDjFZG+pLpKmXfTjpdslutF+aW0KrThBiVnux94xeONgZ98lPaktAdqImQQ+ArSJDDHiKQTZCIQNT5iQMdSz4llvcFORKKHykoSSzfv7+2/ttz+qmZzIxVGNt4WQzsuXKjRNbq7QPHJLRF3J0TAIhF4vuDOgWUc0soBRxdyaAPIa2c6ixZlFglhJYsH7R4H/FBP/5HP5K1k0Lkjx8n19j29iO5LdcJHxuvrvEovlaWcxtvj790LP5d9nepT0IPoKcVmGDZf5aYXoYV95JLLmlXNRt0JQ12rD5kkW3qL7vssrZdwZeerq3L1KFr+6FdCSS7lF5fdmmz/lj7nFv/rL0hPW9nzdfCwuMY+SxsrSzn4KE6yQgvO2lHNueqOxpCzwXY2uxAUr9lX5uP6c/+EEhC7w/r2XvSquJX3tk7SoObQSAJvZlQnesoRO7bKp+rkTW1I5CE3mCEIXJN968bDMFqXU5CrzY06VgiMB6BJPR4zFIjEVgtAkno1YYmHUsExiOQhB6PWWokAqtFIAm92tCkY4nAeASS0OMxS41EYLUIJKFXG5p0LBEYj0ASejxmqZEIrBaBJPRqQ/Ndx/Irnt/FIs/6Eaia0P6Jl6lfk9STNHpyRqWerOmHePfWQxPaP03G+Gt8IISnyqKYRvGP5KJI2yfV9vHEVbWEhsz2HVtKyjGkFpEiHb5+WRpUBZrg8m/sIT/mfgij1B+wjJ6troXUwpeJKorp2bNnz3kra5esjS34WoyI39KkrpbQu/7agyaAKQS0QbXnpQSyOpwr4Q5FaO8P1yT+0skZ9TtnnWKsHVcJSelfen254ReUUr1dx1ctoSNgxhAD8kQrc2S3tK4mQkcJW4rDWuSUD0xO9rzEv6FYkj92dZbNJfJKtimT0BaNfzjXDDxmRUTWzvR29SJhbBvndrKI2qnToWSTPyRTlCxeTte2b+xG/Vl/1G9fiY2xOn32Dt0mrCzuXT4N5YfaoxUc+zY3uvqYWn9UhC4Fk9UH0EuCC/AkA8EjkDq49glPnQ8yOtRhQwfEtUFXsonQXeOgXX16HWyjZ8cU+SMf+sqx+PTZWkub8LL4dPkGbtGEKnkRWvFSPeXSO5ujIbSSMALZAi7QxxDa68uG/VCOulIC+eTStXxXwmBPh68rSZxSf+iDRNdKr0lDfddQCuOI0MJW41ccusYt+UhOeRj102VvTP1REBpgCYYlQB9IU0G3Sa/g28D1EUh9So9SCaFk0zW+c26J5QksHSvjx9znj5e11yW2rfwWzjUmG68uv5VPNh5WdojQfqK3urueV09okhZylARKYCq4XQGTnEqR0ZJHdbbfiEDqq2+LLRnrj7dPm98GKrE0SVhf8D3yR2MaKiOfhnTW3K7xeIy6fAZvG28rJ9zB1x/Yt7H27bteV0togToVPILhCRKBrX588Dzh0I0IFPWj5BKB/bX8kD35IHm125I2u+p3+WN1+s7Vpx93n86a24RxKaGHiBnFlfH3TQRz4FMtoYcAHwJPhOwjCTa6ElsEsgkiAtq+o8CjY8mnZPO+IMcqsfQvZ1h/dd7lk9q3Vmo8Nl59YxgiJnb8YtKVK339jG2rltARecaCI2Jhyx/UKfic2+2XJgO/1Y+SgDobeCVWCaElu/QvZ5w5c6b9dFYYKDFLdjDSWXspLBVT+UssGb89lBdW1tdFGEXxt3bnOK+a0JAi+mfJNwSiAuPtWBtehkSv6ZczlKwWg2iSG8Jyze1dhPaxBQM7AWtMwsiS3OvanJHe3GW1hJ4bqLXaY9avaaVcK85b8SsJvZVIBX5qVYHUeSQCIJCE3nAe7OOebMPwHKXrSegNhh0icy+3j3uyDcJz1C4noY86/Dn42hBIQtcW0RzPUSOQhD7q8Ofga0MgCV1bRHM8R41AEvqow5+Drw2BJHRtEc3xHDUCSeijDn8OvjYEktC1RTTHc9QIJKE3EP78iucGgrQSF6sltH/ShW9WTX2IQU/S2KeNOLdP1iwZz7URWv5MxXNJrHaxbR+JtXbs47A2B0rGj03pRE9p2X7mOK+W0ARh1197UOJGX7Hk65djCU1wpzx2KD/mfghjqj/66mlJQs+RpEvbEL5dkzS5NOU9YOBrMQK3pUldLaGjJICApYBqhZ9CwKhv6qYSSAm3BkLLF5LfJmvXmNdcrxhrBZ2T0NEkoP7mzCmP71EROgLZA6JryBOtzGqfUtZAaHDROLZOaE1OTPT23MeW9rG5AE4RPkvklfX3qAhdGhjNpIBfeiBrZ3q7E6Bf28a5TZConTodSjb5A6GiZPFyurZ9Yzfqz/qjfn1pJ8QuH7zOVq6FlcVdvlNXgo/klT9g5A9s2dzw7bteHw2hSUaAjALmQRwjiy7JQPAIpA6ufRJQ54OMDnXY0AFxbdCVbCJ0V1LQrj69DrbRs+OP/JEPvlSSygd0o0nF623lWnhZfOQ7Y7aTIufCQTK29FjZNjsp2vq5zqsmNMFRIJToJcCNJXRkMwpcKYF8culaSaSEwZ4OXxf1L1mVpf4gT9+WwMdEaOGlUnll8VcbpWKheNm2OXLL2vPnVRPaDlakKCH2VNAVaE0ilHbG7yOQ+rS6Sgj5rmvGxbkdiyewdKyMxYPzPn+sLGOwOwbpWoJb+S2eCy8br75xRJhIfojQUz4xl+2h8mgIDRAKmiVGBFCpnHRFRkse1dkEiQikvixhVCc//TX9evvIen8jJqcAACAASURBVIIpsTRJWF+wEfmjMamM+pau7086Wyw1To9R11g8/lZOuIOvP/omAi875fqoCN0HtAePYJQkbJfNKOARgaJ+lFx9hMZf2ZMPkvdj4Zo2iG1lpB/Jq056mhSi0tqU3tZKYT4HoRl7FFfqwcpO/HPjdFSEVtBKElCEHJIVmQigPdAj+W2CRASKAo+OJV+X38iRHIf45YzIbzv+rZ0LYxuvvjEMERM7dteFra5c6etnbFu1hJ7j1x5ELE9WQKZOwefczrqaDDyhoySgzgZeiVVCaMku/csZUVIdE6HPnj176q8Qygtip0N1ygmR1+7yovhLf66yWkILYIihfxExh4BUYGRDpSWwlyGINf1yRoTRMRGasSrulHYCFjbKNxGaep8XNmekN3dZLaHnBmqt9pj17SqwVj/Tr/0gkITeD86L9KItt936LdJRGt0MAknozYTqXEf3cU92bq9Zs2YEktBrjk6HbxCZe7l93JN1uJDVK0UgCb3SwKRbicAUBJLQU1BLnURgpQgkoVcamHQrEZiCQBJ6CmqpkwisFIEk9EoDk24lAlMQSEJPQS11EoGVIpCEXmlg0q1EYAoCSegpqKVOIrBSBJLQKw2MdSu/4mnRyPM+BI6G0CLFlAcZ9CSNfeKGc/tkTR/Iu7bJ97V8Z5txT3lybVccltZnTD6mXbFXLgzhYJ/Uip7SmntMR0NofV1yDKFFpOgrltjzwR8KDsEdSoDIhvyYm9BT/FGCThlHNLY11AnfMZM0z7wPvRsMjGy+Eb+lSX0UhLYBswD3JZOeZZ0zcbE1xZ78PySh6VurEuWUcfThfYg2xdiOq2SSll4fBhHhS/R2xeEoCE0yikylhEYnWpl3AVw+jLWxBkJb3+352LGsSV64QmJ7PuRjRFavQ/5EubZEXtm+qye0BZ9EjEC2gHCumRTwSw9k7Uxvt1bRfZidLKJ2u1Io2eRP1zi8nK6tX9iN+rP+DI25FkLbcQori7ttt+dd+EtG+YOcP7Bvc8O373pdNaEF7BARPIhMAoBeElx0SQaCR386uPYkoc4HGR3qsKEDf23QlWwaR1dS0K4+vQ620bNjivyRD33lVL0+m4duE14Wn8inktzweWft2AXG1s91XjWhSXC7IpOI9roLxJKgdemqPgpcKRF8culahFbCYE+Hr4v6l6zKUn8kr3KqnvTXWArjIUL7nIrGolgoXlZmjtyy9vx5tYQmMHaVY+Ak4pKEpk+7veXcJkgfERRoq6+EULLpmrFwrtWYa09g6VgZH/w+f7ysvZ6qZ22s7Vx42Xh5H/uIamX75HycrN4c51USWsGxBACsUkJ36XcBLjJa8qjOJkhEBPVlJx/VyX9/jR/ePrJ+slJiaZKwvggPfBp7ROMYa2Nt8sLYY2T9pM3GybbZc+EeYVtqw9obc14loUluJXFXKbJ0gUUwPEEi2a7gecKhGxEh6kfJJR/9tfyQPfkgebXbUphYGelbuZLzqXoltg8lI4z7CA12JTnBGKK4Uo8NO/HPPd4qCd0FUhfIkbwIaQkQyYlM2LYHekwmNkEiIkQ+oYOu+lay6Vr9IEdy7PuXM6JxyKetlsLYxsuORXH2MbAy9hw7fjWXDZ8rVm/X8yR0D4IiVhQA6hR8zu2sq8nAE5pksHJ0TZ0NvBKrhNCS3fcvZzDeCJMeKFffJCwVU++wYtrVrlxRu8hrV/Qo/r6fXa+T0AMIKjAQzP6zxPQyBLHmX844RkJDVDvx+rTxhKbd54XNGa8/1/VREXou0NZkh1nfrgJr8i192T8CSej9Yz5bj9omQuo8EgEQSEJvOA/2cU+2YXiO0vUk9AbDDpG5n9/HPdkG4Tlql5PQRx3+HHxtCCSha4tojueoEUhCH3X4c/C1IZCEri2iOZ6jRiAJfdThz8HXhkASuraI5niOGoEk9FGHPwdfGwJJ6NoimuM5agSS0BsIf37FcwNBWomLVROap4LsE1I61yNupTHQkzTSVznWTml/Xm5thGbctT0+CeaMKYppFP9Izsctn7byiOx4vetjfiJS9BVLvn5ZElQ7hKn+yI+5H8KY4g86TGiUtRzCl3FFMT179uw5b2XtkhUmsmlx2sd376tfoS2gAruk1Ow6VT/qA1tT7Ck5Dklo+tbOpBZCK8Z2XBGhfSyl1xdL8PKPtUpv7jha/6ol9K7gAXq0Mlvwxp5vmdDWd3s+FoM1yWuihMT2vMTHPgyUe8j4IyK6l9nlOgkdoKeAjJlJkbUzvX27BQlj2zi3k0XUblcKJZv8IVH87M8wvJyubd/Yjfqz/gSQnKrqS+ZTghu6EFYW9y73h/JD7V2EHoN1lw9d9dUSWgGyyVwK5ND7ozyY9EXwCKQOrn1/ERHQoR4bOiCunRA0FhGapLPtVk99eh1kRGbJR/6ora+cqtdn89BtwquE0Iw/mlDtGLpkqFeMrPxc59US2gOkWTMigpcdS2ivzzU2/M+NlhLBJ5euRWiNBXs6fF3Uv2RVlvojeZVT9aS/xlIYR4QWtlocFIe+cSiHbIywzQsdk9B9yI1oU2AsyJG6ghEFN5JXHfIKukpro48I6lN6lEocJZuu6Y9zmxiewNKxMvJTZZ8/konKqXqRrbXUCS8bry7fwN7Gp0vOxxTcsN8Xky5bpfVHs0ILEEAd2i4puJZA0o9KBc4GSnU2QSIiqC+7c1Cd+vfX+ODtI+vHpQlMk4T1BRuRP9H4fN1UPW9nTdfC2GPU5SN423h3yfn6KE5eZpfrJHQHeiXER1WkQd4ennC0RUSI+lFy9RHa2pMPkrd+6Jw2v6pE/ki+r5yq12fz0G3CvJTQyNlJuMT/kjiV2OmTOSpCK2h9iS+wRMghWQWJJLeHCGQTJCICdX5lRceSr8tv5Fgl8pczLPLTzoWxjVefJeI7doXG9thJoM+HqK1aQkNIEl2HiDcmCCKWJys2qVPwObd2NRlASsmgEyUBdTbISqwSQks2fzlDUZ5eCksbL6wRyzNnzpwyrLywsr7O559ygngveVRNaIgCMfQvIuYQuJoIZEOlJbCXYcXNX84YQnZd7V2E9rEl/nYC1igiQtv8i3SkO2dZLaHnBGnNtpjx/ZZ9zf6mb8sikIReFt9FrWtVWXobt+gg0visCCShZ4Vzv8Ygst3677f37G2NCCSh1xiVAZ8gMvdySeYBoI6wOQl9hEHPIdeLQBK63tjmyI4QgST0EQY9h1wvAknoemObIztCBJLQRxj0HHK9CCSh641tjuwIEUhCH2HQc8j1IpCErje2ObIjRCAJvYGg51c8NxCklbh4FITmKSs9JUU59rvPepLG2uDcPj63ZDwPTejoiaMaHwixj8RG8dQjkMqDMd/UUwyXxq1qQisRp4KoIESBY1IYS2gSZsojnPJj7EQUJaWtK/XHP9srf6bian1Yw7nG0zdJa1IfG3ONT1/XXRqzqglNwk4FUJPBFAIqiL4sJZDXU8IditDeH65J7H094xv1P0edYqwVt4vQWpmnklnxw/7UfCwdb7WEFohTgwB5opW5FNhIriZCk+T+NcXRmNdcZ3PEnnufyYVdiIi+Yr+LHe9XdF0toSHyVEJq5h6zIiJrZ3q7euGLbePc+ha124lIySZ/SI4oMbycrm3f2I36s/5EieLrsDFWx9tY07Wwsrjj35RcsOOyE19X3Kz8rufVEprkJ+n1KiAlNaAOHWO3WCQDdgm+Dq59wlPn+0eHOmzowHc7ISjZRGiSzrZbPfXpdZBBzyZs5I9s9ZVj8emztZY24WXxwTdbD17Kowh/PxY/GaAfTcReb5fragkt8C2ASkTa+g7J+eD26fg2bPgtKf0O9Y0dm0T2WoRWolhbvi7q3/tY6g96YKFk1qTh7W352mOusSgXGLvNB7AbIrUWFWLDgY7NR/UxZ1k1oSPA/eoXgakg2gBGcr7OJr2S39roI5D6lB6lCKxk0zX9cm6J5QksHSvj/e3zx8va6xLbVn4L5xqTjRd+Ky5gZQ/J+3rJYMfnH7JJaCE0suwCTwHygbPmFSxLINvuz2XTkkd1th988gmgvmzwVaf+/TX9e/vI+mTRqq1JwvqCjcgfP7au68inLtkt1Gs8HiOPsx1LV47JluInnS55tc9RVrtCA6YlmMAiQH4rrDZbloIv0iBvjygRkPFyUT8+Ify1+pE9+eATSHKUtNlVnzrpW7nSc/Xpx1OqvzY5YewJrfoI2y78hLUm0qiM7M2BSbWEjggFYAAZEd2DKf0h4LsSW0G1CRIlAHV+ZUXHkq8rqZBjLPv+5Qyw6vLJ47iVa43Hxku+RzGS/FB+yAZlZMe2z3FeLaEBx5O3lKQCVsQiEP6gTsHn3E4S6gdSSibyR3XRdruE0EqqpX85g1+OYEw6NIn5iUjtWyyFpY2XxqE2S14fc+VKpC876CyNWdWEBkitlNr29AEu4G2p5JW+SktgL0PQ9Ocy258SAxtWn0Bbu5dddlnbrgSSnq6tfxqf7Yd2O6nItteXXe+Ptc85tmVDJT7XdAgLj6PGqHaN3xNTGHXpYycJLTSz7EQAkvrk6hTOhuoRqH6FrjmCWjX8ylvzmHNs/QgkofvxWXUrRLZb91U7m87tBYEk9F5gnrcTiDx03ztvj2ltKwgkobcSqfQzEShAIAldAFKKJAJbQSAJvZVIpZ+JQAECSegCkFIkEdgKAknorUQq/UwEChBIQheAlCKJwFYQSEJvJVLpZyJQgEASugCkFEkEtoJAEnoDkcqveG4gSCtxsUpC+6ef9ISMSvu4Ykkc9CSN9FX2PVlTYrdUZm2EZty1PW1FLBhTV0z902tjx68YLv0gTZWE7iMKgSgNhoIQfV+ar192Bb+r/zF9WxvyY+6HMKb4gw4TWimGdhxrPRe+jCuKqcisNsmPwUBf101Cz5gFBKR0ddYqPyZoQ65ia4o9JdAhCa2E1O5kyjiG8Nl3u2KsMXUROorbmFxS/LCfhJ4xylFgusyTwNHK3CVfUj+mf2tPCXFIQlvf7bn1c2vnwhVy2nM7jqH6kpggI8yS0BbdHc79tqnPlGbukmDJDrJ2prc7ARLGtnFuJ4uonTodSir5Q3JEieHldG37xm7Un/VH/XaVSs6u9i3WCyuLO+Pg2sZSY1OOgEXfQd7ppZRdcevTH9t2NPfQY8AcQ34AJxmwT5B1cO1JQh3/7IEOddjQAXFtEinZROiuJKNdfXodbKNnEzbyRz70lVP1+mweuk14WXzwiWth6n0cwkGkV9yQjyZib3eX66MgdFewuoAbS+jIjp2Z1T6UAJLz/upaiaFEwZ4OXxf1L1mVpf5IXuVUPemvsRTGYwndR1DiZdvBzV4vgcNRELpvlo1AnUpo+rHbW85tgvQRQX1afRFYyaZrfObcrhyewNKxMn6sff54WXs9Vc/aWNu58LLxwse+3OnDAT27y8IW8knoHSPvV64ScwquJVCfnshoyaM6myBRAqgvG3zVqX9/jS/ePrI+WTR2TRLWF2xE/vSNU21T9aS/xlIYe4wiYuK/sAULf8iW4qd2ZH2M1DZXWf0KLXB9oIYALAW/K7CecPQXESHqRz4rIfy1fJc9+SB5tduSNohtZaRv5UrOp+qV2D6UjDD2eRLFER8lb/GU78JaE2lURnrS36WsntAEyK6cpWApkEPAi0wkuT0UVJsgERGo87M2OpZ8Xcmjse37lzOicdixb/FcGNt4MY6u+CJnd1UlY45iXaI3RqZ6Qu8CooiFDX9Qp+BzbicNTQaQUjLoQ3IrpzqbGEqsEkJLdulfzojGHmHi5bZ0LSxtvOS/8kBtkrWTvZeRri3BzE/etn2O86oJ3TW7jgFONvy2yRLTyxC0mn45w+NFYh4ToRm/CKs8sGS27SK9x4zrJHSEStadQoDEWnrWP9VhXqwagapX6FUjP4Nz0dZvBrNpYsMIJKE3HLzonnzDw0nXZ0AgCT0DiPs2AZG5l7P38fv2IftbJwJJ6HXGJb1KBCYhkISeBFsqJQLrRCAJvc64pFeJwCQEktCTYEulRGCdCCSh1xmX9CoRmIRAEnoSbKmUCKwTgST0OuOSXiUCkxBIQk+CLZUSgXUikIReZ1xOeZVf8TwFR170IFA9oXnCRU/ITP1mlX/SRvb6nqzpwXx00xoIbR8JPbZvqUXxL4n9ITCrmtCQ2ZKYr0zaZ4+HmCUiWRvSwVZJUCVPiT/8G3vID/qc8yj1h8TUq2jpX4+LRrjM6d9abJ09e/act7IyqfXF/1CYVUtozY4WdCViCanGyJYmXimBvL1DE/qKK65o+GePCF/bXvN5SW4cCrNqCQ2Ro9W4lFSshnOvQKV9ezIcmtDeH66X8inqa411U2K5D8yqJXS0gmhmHdq6lsrZRMOm7q0p7WTC5GLbOLeTRdRudxY+EUim6KUGXk7Xtm/sRv1Zf+y4us5lewjLLv0t10/JD8a7D8yqJTQAkvg2UUtX3Wgy6EtAAkVfBFqH71v+UG8PdKjDhg78tBOCTwQIadutnsbrdZARmSVPv94ftQ2VXT4M6dXQDmbRhDo0tn1gVjWhARjwtUIp2YeAH0voyB427AdJ8qWEQCIjCcCha62GWiGsLV8X9e/9RN/a8O1d18JH/nTJ1VIvbJVHU8a9L8yqJbQnAclVCqrkRKjSxEReQVdpbfQRSH1Kj1KJE42FNjtBoW8nEOlYGT+OPn+8rK7pF9+mTASysfVSGCg+Q+OR/D4wq5bQgBdtiwC3L8kJjshQGjCR0dpV3RCh1ZfdQqtO/ftrfPT2kfXj9SuL9QUbYwmNPGT2doYSusb2kjwSxvvErEpCK5GjGdGvZF3J1jUhePmuvjzhFFzvU9SPJ7C/lg/o8k8+aAJQuy1ps6t+lz9WR+eybycdtR1ryaTWh8ehMKuS0CRZRBTqS2dWEbKPJNhT4OjPHiKQXc1EQCsX+YmOJV8XoZFjV7D0L2cMJa8dz7GcD+XRoTCrltARIVXnydeVhCJWJE8d7RycR9ttv9WKkoA6O9OLvCWEluzSv5zB+CIMunCrqZ6cOXPmzKkhKS8Ufxp93aEwq5bQgKyEhxz6Z4NwKkodF1qBpa/SEtjLcC9b0y9nkJwaty8tDh0Qbrrax5bx2wlYg4sI7bHS9ZKYVU1ogV1zyQrvPwyrebw5tn4EktD9+Ky6VTsQSJ1HIgACSegN50F0T77h4aTrMyCQhJ4BxH2bgMjcjy15L7bvMWV/8yCQhJ4Hx7SSCKwCgST0KsKQTiQC8yCQhJ4Hx7SSCKwCgST0KsKQTiQC8yCQhJ4Hx7SSCKwCgST0KsKQTiQC8yCQhJ4Hx7SSCKwCgST0KsKQTiQC8yCQhJ4Hx0Wt5Fc8F4W3KuNVE9o/KTP1m1V6kkZPy6gc++TW1MxZA6H16KnGPhXLqRisRY+cuuCCC9o3xgz5NFf+DfVj26sltEhgn+Md+91n2YiSF1tjCT31GVn5QZ9zHqX+QGb7vjIlaoTLnP6tzZYmtejxSe+rYrZL/nmbJdfVEprk948VKhFLiCFZG5ASQPtkSgnkbSg5Svz2un3Xpf4c6lcg+nzfZ5vw1+6khNC75t/U8VVJ6D4yRkBH4CE39wpUSiDvjxLqUIT2/nC9lE9RX4euszsUe97l1xz512V7qP4oCT1EVAVkDIGQ1QxOaWfx6B7c+hC12+28Jw8Tg999EGgvp2vrF3aj/qw/Q0kT9VWiU4PMHIQei/UY3KokNAB0JT31Q4DqXsmSqg9UiINdJgIdUT/U8c8e6FCHDR1MDnZCEDE1weCXbbd6GpvXQUZklnzkj9qGyi4fhvS23l5CaMYIttGkS71itAQW1RJapARAHSQhL9QbAlS6yE89osCXEkhkVP+6FqG1g7Bj83VR/34spf54PeEjf3x7zdcluDJ+YWRjVJp/u+BXLaEtqNpyAi6gLkVobKsvlSIl/vQRSAkgPUoRxhMaW7TZcfhEk46V8YnS54+X1TX94ptNVLUdQ+lx7huzj2lp/vXZHGqrmtDR4EnIaCtkZUUGEcq2RecKnCWP6oYIrb7sFlp16t9f44O3H41Lq7YmCesLNsYSGnlseTsRJrXWgbv9E97YcUZxGmujT/6oCK0EF1H6gCF5h4iPvmwibw9PONoiAkX9eAL7a/Uje/Khb1y02VW/yx/ZtqXs20nHth/T+S6EFo59cdoVy6MiNCtLaVKKkEPgK0ie0CKQXc1EQBu0iNDoWPJ1ERo5dgX5yxkW0WXPdyH0mPybOopqCQ3wJLqOUoJKnlLE8mSljTradR5tt/32FJJbOXSps5OMyFtCaMnmL2e0YdjLf12EVq4oJ+bIvykDqprQEAVi8M+SZgxQWoFlR6Ulppdhq56/nDEG5e3IjiH0HPk3FplqCT0WiK3Ks8KX3OtvdXzp9zgEktDj8FqVtLbckDqPRAAEktAbzoPonnzDw0nXZ0AgCT0DiPs2AZG5l7f38fv2IftbJwJJ6HXGJb1KBCYhkISeBFsqJQLrRCAJvc64pFeJwCQEktCTYEulRGCdCCSh1xmX9CoRmIRAEnoSbKmUCKwTgST0OuOSXiUCkxBIQk+CLZUSgXUikIReZ1xOeZVf8TwFR170ILB5QvP0C79kwBNP0cFjjnpCauoTV3o0TnZU6lG5qN8569ZAaHC2Tw8dy7fUumKvHIgerSX2/gk85PfxEM2mCa2vQHYBBdi2DfkxpBaRouTF1lhC409XAvRNAPKDPuc8Sv3xjwwqWSNc5vRvzbY8Jt5X2u3z+IqhzUevM8f1JgntZ80IpAhwJWIJqcbIlgailEDenpLhUIQ+9l/O8PGYmhvk7ZgFxfdbcr1JQpPYIrE9twPuqy9ZWdAvkbN9Dp1vldDRuJaaZKK+1lYXLRYlPk7VK7EtmU0SWs5TRsTtm0FLZknpY7v0QFb3VZR2JvY7CtrtZBG1U6fDk4eJQROaZCi9nK6tX9iN+rP+WJtd57I9BqMuW1ur78J/aBzgPhbnIZu+vWpCR8lWMksiAyEtqTxw9prkJshMBDq49sGjjn/2QIc6bOjAbzshePLgl223eurT6yCDnh1T5I9sDZVdPgzpbb19bG5ovFP1pF9aHiWhh8g6B/jY8O9vLiWQyCjy6VoTlHYQdnLwdVH/PilK/fF6wkf++PaarxlztDuKxkz8tDvSRBvJzVl3lIT2RPOAKmFFKN/edW0DqEBaG30EUp/SoxRhPKHpnzabJJ7A0rEy3u8+f7ysrukX3+xkorbaS02aisuY8ZbEY4y9LtmqCR0lHQSLtqsWIIFfGjiR0ZJHdUOEVl/WJ9Wpf3+Nr94+sn7lUAJqkrC+YGMsoZHHlrdjsav5vCR3+sYfxbFPfkpblYQGCJLPJzj1JL4lXhdoXfpeXqRB3h6ecLQh4+Wifnzg/bX6kT35oAlA7bakza76Xf5YHZ3Lvp101HZMZTRpjhm/cPQ5MMbGkGy1hI5m0zGAipB9JAHcLpsikF3NREAblIjQ6FjydREaOSan/OUMi+gy54rzUD709d4Vxz6dsW3VEloBsKs0wShZnQWiiBXNqNSJrJxbu5oM/PY06p86u/Ip6CWElmz+coYitlypmCrmviflitrPnDnT3hZJLspHtc1ZVktoQBKIkIN/lnSlIHobkS0vwySSv5xRivA25CCqnXi9157Qula+UEYLg7ez6/XmCb0rAFvXZ4W3u5Ctjyf93w2BJPRu+B1UW1tuSJ1HIgACSegN50F0T77h4aTrMyCQhJ4BxH2bgMhTPxPYt6/Z334RSELvF+/sLRFYFIEk9KLwpvFEYL8IJKH3i3f2lggsikASelF403gisF8EktD7xTt7SwQWRSAJvSi8aTwR2C8CSej94p29JQKLIpCEXhTeNJ4I7BeBJPR+8Z7UW37FcxJsR6m0eULzWFvfL2coqjz9MvVpl+jJGb6pRf0+jrURWv7U9lCIfSRWce2KvZ6iGsop2iU75Wk/+VFabprQ+grkUGIJ1CHwPWhK3CgQ9D2W0PQ/1gd8kh/0Oecx1Z9S3Of0dUlbwnfMJM1CMvRuOvC1uQNufY9gzjHGTRLaz5pdhFbiaYYcQyY94zxGZyggUwmkhFsDoeULmHbhPoTDWtoVY+VHKaGl15cb0QsRSvR2xWaThCaxlUz23INhCWTPvVx0jV07u0YyY+vG+iD7ItEaCI0PGodiID+3VgpXFgh7PjSOktUZm9FqLOyG+pjavklC28H2EdrKjQFSM+kYAiFrZ3obTL+jQM5OFlE7dTqUbPKHsURk8nK6tn5hN+rP+qN+fWkTucsHr7OVa2Flce/yvWTsfSu04thlf5f6JHSAXhSMQOykimQgyEwEOrj2JKGOf/ZAhzps6CDgdkJQsikRSDrbbvXUp9dBRmSWfOSP2nzpJzl0o0nF623lWngNEXpMboCR4gEOxM9eL4FNEjpAdUzQAvW2Chv+Q5NSAvnk0rUILXJhT4evi/qXrMpSf5Cnb0tgdO21bG61FMZDhPY4DI0XnLRDWprM+JKEDiIyldAkg4Kn0iZIH4HUp/QoRWAlm65xmXObIJ7A0rEyfqh9/lhZxuB3BMdIaE2aNg4WJ3su/K2sYmzrrM4c50noAMUoGIHYSZUCZcmjuiFCqy9LGNUp8P6ajr19ZP2KqQTUJGF9wUYJoaO+pev7OwFkgycap8fIDiWa2Gy7Pe+a8IiTzROrM8d5EroDxa6AeHGRBnl7eMLRFhEo6kfJ1Udoa08+SN76oXPa7Kpv9SUTldLTpBCVff1GNtdYJ8z7CM04SyYxxcPnBOMmL/yt2Jx4JKE70BQhh5K1K3gigk2QUkKjY8mnZPO+IMdsv/QvZ0QQRRNRJLeVOmFs42V9V5x9DKyMPe/CB/1coS1S7hyASmbNiEzO1DmXIha6/qBOwefcBkmTAaSUDPpRMKmLttslhFYSLv3LGX7sXDPmEtwj3TXWCUsbL+unYtrVTr2Nt+SJrw7VRfkkmV3LXKEHENTMTLDsP0tgL0OihRSr1QAADJVJREFU1/TLGRFEx0ZoCGsnXo+JJzTtmiRs3nRNCN7e1OvNE3rqwGvRK92h1DLeHEc/AknofnxW3aoVwG7rVu1wOrc4AknoxSFergOIbLf+y/WUlreCQBJ6K5EyfkJk7suSzAaUPG0RSEJnIiQCFSGQhK4omDmURCAJnTmQCFSEQBK6omDmUBKBJHTmQCJQEQJJ6IqCmUNJBJLQmQOJQEUIJKErCmYOJRFIQm8gB/IrnhsI0kpc3DyheSSt65cz9LiannaZ+s0qPUkjOyqXfnJGObIGQs+Fpca0tdLnwJjvz/NkmnKGcozuWJw2TWh9BTJ6LpcEtG+G0COOY0gtIkU69D2W0AR2yrOw8mPuRCj1Zw4sxybmmuTB3T46WRoP5VyUn0uNb5OE9rNlBNgVV1zR8M8eWmVKiKhgTCGg7dOelxLI6nBemkBeb+i61J9dsRzyY83twt7nDNfRRG/HAr5RblqZuc83SWhmTAFlz4fAUXBKVjpkhgI21J9vLyWQ1xvjt9ftu57qDzaX8qnP30O0QVy7OssHjd8TvbRdcnOXmyS0BWEJQmt1LiG+fEHW3ifZJCDoto1zO1lE7TZRlDzyp2vm93K6tn1jN+rP+qMx9ZWyLZ/6ZLfcBlY2lhrL0PjRG4upbO9SHhWhu4LjARyzNUeX4EIyJgIdXPuARisiOtRjQwcksUnkk6drHOipT6+DbfT4pyPyR21DZZcPQ3pba+/KBdV3TWjUs4vUq6g0qYL5ksfREHooABZkydrkt+0l59iwH8qhU0ogkVH961rJox2ETQ5fF/Xv/S71x+sJH/nj22u7Bic7wYI1f1khvl0YoAOJdWsIJsLNxm1urI6C0IAOuKVACngRqhR05DUTq7Q26L/LB/UpPUoliyc0/tCm1VjJYicQ6VgZP44+f7ysrsdiKb2tl2Cl2EBuVl7Iqhj58SFvJwG1Ix/Vq33XsnpCKxCWWEOgiQxdwfL6IqMlj+psvxGB1JcNsurUv7+mf28fWbsaIKNVW4lofaE98sePzV5PwdLq13SumHhMNUaw8vGgzcdN8nOV1RJayWyJMga0roB4G+oHeXtEgUPGy0X9KFn6CE1fsicfJG/90DltdtW3+pLpKmV/KpZddrdcD5HtBO7HAt5RO3lhd1Jeb9fragkN4LskoAjZRxLAV7J7oopAdgYXAW3QIkKjY8nnCS59JdXSv5yxK5byt5ayK+Z2fMofG3/au4hudXc5r5bQEXnGAiViebJihzoFi3M7GyuYkFIy6ETBpM5OPCJvCaElu/QvZ8yB5Vjs1yR/9uzZU3+F8PHGV+VKX7yVF8R8qaNqQkOK6J8l3xCwmo29HWvDy3DvpD9X2ACLgNiy+iSI7FN/2WWXte0KvPR0bX2mDl3bD+1KHtml9PqyS5v1x9rn3Ppn7Q3peTtbvfbj59ofEaGRUXyEm4+Tt7Pr9eYJvSsAW9cnYaIPX7Y+rvR/GgJJ6Gm4rUJLK6xfeVfhXDpxEASS0AeBfZ5OIXLfVnmeXtLKlhBIQm8pWv/gq+7LkswbDN7CLiehFwY4zScC+0QgCb1PtLOvRGBhBJLQCwOc5hOBfSKQhN4n2tlXIrAwAknohQFO84nAPhFIQu8T7ewrEVgYgST0wgCn+URgnwgkofeJdvaVCCyMQBJ6YYDnMJ9f8ZwDxeOwsXlC81RR9MsZ/gkonnaZ+hCDnqTREzMql35yRim4NkLLn6l4alxrKPWtO8U0epIKP/0TVyXfn/c5uI9v9m2a0ApGlFgQnQf/dUxJQulEgaDvsYQmKboSRn5GpfwoSaJIv6tuqj99uHf1tcZ6xmFzR4+c+hh5nDTB98VDMbO2kI9yaU5sNkloAapZ1QalDxz07MsE+mQ1u9qA9MmXtPnEKNFBRsnRl0CltqzcFH/kC9iX4m77XNM5z6wTZ3tEpIsmbrDrGz92fLtyau44Wv83SWgLlj23A4vOmYFL3+eE3bln0ykEYhwi0dyJMMUffJCeT9gI863VlU76ffkh4oKTP9BbErdNEtqCNAYgglVCUgUE26UHstoxUNqdAP3aNs6tH1E7dTo8oUmUKCm8nK5t39iN+rP+qF9f2gmxywevs7VrsLGx6/KfeHdhpvzpInSXXldfY+qPhtC6P7JE6QJqjCw2IA7BI5A6uPaBo84HGR3qsKGDZLFJJWJqgulKOptkXgfb6NnxR/7IB18qSeUDutGk4vW2dl0yLmGBbNfRZYd6nxddNqbUV01okler0xgQxxI6At6uZmonmH1JIDmRUeTTtcgUJZSvi/qXfZWl/iBP35bA6Npr2dxyyRjtRNo1FsY+lE/KIRtv4skLHYd0u/otqa+a0BYAkaIETAVDhLJ2+s7tBKKJxNroI5D6lB6lCCzfdY0PnNuxeAJLx8p43/v8sbKMwSc6urUQWpMhmNt4WQw4F6YeCy+nax9TMMN+X0ykO7U8GkIDkAJiiREBVyonXQXOBkp1NkEiAqkvmySqk5/+mn69fWQ9wWyiRska+aMxqYz6pq0WQmt8NnYauy2Ft8fYypScR3Eq0SuVOSpCK8FJxqGjNGG7bCoBhggd9aMk6yM0/qPLP/kg+WhstNlV3+pH8qqTHrpd//r6lZ01lorREEmJIWMH612OkjjtYh/doyK0J0ofeAr2ULIqSD7YIsIUQiuB1HeX38ixsiz9yxkRTox3iAiR3prqSsbQFd8p4yBedic2xcaQTrWEPnPmTLstFQAKzJgkFLE8WbFJHe06t1s2TQbM6pJBDoJaOdXZIIu86A4RWrJL/3JGO0j3XwkZnMqqLoWdjU/kILEs+e6CckX20LPfVFROKKZRX3PUVUtoAWy3iRExh0DURGDtcG6J6WWYNGr65YwIo1oI7eOqa+WKiKh6X4qgyjdLaCZqydtJO8JzrrrNE3ouILZqh4Qas+vY6jjT7zIEktBlOK1SSttGrRKrdDKd2isCSei9wj1vZxDZbv3ntZ7WtohAEnqDUYPI3JslmTcYvIVdTkIvDHCaTwT2iUASep9oZ1+JwMIIJKEXBjjNJwL7RCAJvU+0s69EYGEEktALA5zmE4F9IpCE3ifa2VcisDACSeiFAU7zicA+EUhC7xPt7CsRWBiBJPTCAM9hPr/iOQeKx2Fj84TmaZjolzN8+ESKKQ8y6EkaPTmjUk/W+L7mvpbva/nOtvyZguXc2MxpjyesfEy7Yq8c0FNZQ37sC7NNE1pfgSxJrDGyCo6CEH3FEns++NLrKgl+aQJYG/JjbkJP9WcKlnY8azsXvpC0NKYsJCXPSWus+8Jsk4T2s+YQoW3AhmQVAD3jPIWAsuHLqQSS/2sgtHwh+Uux9Dis5Vox1mpbSmjplebGPjHbJKFJbCWTPe9KFGREJul1yaoenWhlVvuUUj6M1VVC4NOcxxR/pmA5p89z2hKuLBD2fKiPKauzsC7NvyEfuto3SWg7GBKsDyQLPqD2ycquZuAxBELWzvT2DRV+R4GcnSyidup0KNnkT9c4vJyurV/Yjfqz/qhfX07B0ttY67Wwsrh3+dqFfyS/b8yqJrQnZmkgCAKELAkuQSQZsE1/Orj2JKGOf/ZAhzps6IC4dkJQsonQ+GXbrZ769DrIoGfHFPkjW76ciqW3s9Zr4WXxiXwdkxuHwKxqQkMAuyKTwPY6Chh1Y4LWZ8N/aFJKIJ9cuhahlSjY0+Hr7MogGV+W+oPeVCx9n2u9FsZDhPY49I3Hy5bmX5/NobZqCU1g/CpWCuhUQtOn3d5ybhOkj0Dq0+qLwEo2XRNUzrUac+0JLB0r45Ohzx8ruwuW1s6az4WXjZf3V5OmjYOX0fWhMKuS0AqOB76U0F36CpYvRUZLHtXZBIkIpL7s5KM6+e+v6d/bR9bvPpSAmiSsL9iI/PFji/qWru/P627pWuP0GNkxRCS17TqXLcVP9aX5J/kpZZWEBkglcVfpwfbglYIv0iBvD0842iICRf34hPDX6kf25EPfmISJlZG+7EWl9LpwpN7ajGxsoU4Y9xGacZZMYofErEpCdyVQRJ4uWRFyKFlFJmzbQ0G1CRIRKPIJHUsUJZv3BTl2BfnLGRb5aefC2MbLWlKcfQyszNB5FOshnbHtSegexEQsT1ZUqFPwOY+225BSMuiQDFZOddF2u4TQSsL85YyeIBY2CUsbL6uqCb6rnXofb6vPeRLaIxJcQ5KSbdBUQDUzEyz7zxLTy+BP/nJGEKwVVw0RGsLaidcPJQntEcnrSQiMmdAmdZBKm0Jg81vuTaE9s7NaVXa5r5vZpTR3YASS0AcOwC7dR/fku9hL3e0jAKH/P2O1y3vbYUEgAAAAAElFTkSuQmCC 接下来,运行单因子方差分析。产品产量方差分析的 p 值很小,表明如果原假设成立,即催化剂均值相等,我们观察到这些结果的可能性很小。由于 p 值小于 5% 显著性水平(使用 alpha = 0.05),我们否定原假设。得出的结论是不同催化剂组的平均产品产量不同。data:image/png;base64,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 工程师即得知某些组的均值不同。下一个逻辑问题是哪些组的均值不同? 使用 TUKEY 法进行多重比较 虽然通过方差分析,我们知道了某些组的均值不同,但工程师需要进行更深入的比较才能了解到底哪些组的均值不同。Minitab 为此提供了“比较”功能。在我们的示例中,化学工程师使用 Tukey 比较来正式检验组对之间的差异,以了解哪些组对在统计上有显著差异。 Tukey 多重比较检验是多项检验中最保守的检验,可用于确定一组均值中的哪个均值与其他均值不同。方差分析之后使用 Tukey 法(这就是为什么您可能会听到被称为事后检验的方法),可用于为因子水平均值之间的所有成对差异创建置信区间,同时将整体误差率控制在指定的水平。 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 在我们的示例中,包含 Tukey 整体置信区间的图形显示催化剂 2 和 4 的均值间差异的置信区间为 3.114 到 15.886。此范围不包含零,这表明这些均值之间的差异显著。工程师可使用此差值的估计值来确定差异是否实际显著。 相反,其余均值对的置信区间均包含零,这表示差异不显著。 为什么不做一组 T 检验来判别差异? 这是个好的问题,而且经常被问到!此问题的答案与犯错的风险有关,特别是错误地认为存在统计显著差异的风险,这就是我们所说的 Alpha 风险。当我们进行一项检验时,有 5% 的机会我们会说存在差异,而实际上并没有。如果是 4 种催化剂,将进行 6 次 t 检验! 仅凭偶然的机会观察到至少一个显著性结果的概率是多少? P(至少一个显著性结果)= 1 − P(无显著性结果) = 1 − (1 − 0.05)6≈ 0.264 因此,考虑到需要进行 6 次检验,我们有 26% 的机会观察到至少一个显著性结果,即使所有检验实际都不显著。事后检验控制实验误差率;更简单地说,我们希望确保错误地认为任何催化剂对存在显著性差异的机会保持在 5%。这正是 Tukey 检验为我们所做的! 答案是方差分析 使用方差分析使化学工程师能够检验混料以查看结果是否统计意义显著。同样重要的是,还可以使用比较检验确定整组是否存在差异,或者可能差异只存在于组的某部分内。在我们的示例中,只有催化剂 2 和催化剂 4 在产品产量方面在统计上有显著差异。根据这些信息,化学工程师可能会开始查看其他催化剂,以确定哪种催化剂最具成本效益、保质期最长,或最容易获得(因为知道它将产生类似数量的产品)。
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