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主成分分析与因子分析及SPSS实例演示

2016-02-01 MedSci MedSci原创

主成分分析因子SPSS
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一、主成分分析 （1）问题提出 在问题研究中，为了不遗漏和准确起见，往往会面面俱到，取得大量的指标来进行分析。比如为了研究某种疾病的影响因素，我们可能会收集患者的人口学资料、病史、体征、化验检查等等数十项指标。如果将这些指标直接纳入多元统计分析，不仅会使模型变得复杂不稳定，而且还有可能因为变量之间的多重共线性引起较大的误差。有没有一种办法能对信息进行浓缩，减少变量的个数，同时消除多重共线性？

一、主成分分析 （1）问题提出 在问题研究中，为了不遗漏和准确起见，往往会面面俱到，取得大量的指标来进行分析。比如为了研究某种疾病的影响因素，我们可能会收集患者的人口学资料、病史、体征、化验检查等等数十项指标。如果将这些指标直接纳入多元统计分析，不仅会使模型变得复杂不稳定，而且还有可能因为变量之间的多重共线性引起较大的误差。有没有一种办法能对信息进行浓缩，减少变量的个数，同时消除多重共线性？ 这时，主成分分析隆重登场。 （2）主成分分析的原理 主成分分析的本质是坐标的旋转变换，将原始的n个变量进行重新的线性组合，生成n个新的变量，他们之间互不相关，称为n个“成分”。同时按照方差最大化的原则，保证第一个成分的方差最大，然后依次递减。这n个成分是按照方差从大到小排列的，其中前m个成分可能就包含了原始变量的大部分方差（及变异信息）。那么这m个成分就成为原始变量的“主成分”，他们包含了原始变量的大部分信息。 注意得到的主成分不是原始变量筛选后的剩余变量，而是原始变量经过重新组合后的“综合变量”。 我们以最简单的二维数据来直观的解释主成分分析的原理。假设现在有两个变量X1、X2，在坐标上画

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    2017-05-14 kane35

    果断收藏了，以后慢慢学习参考！

    0

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    2016-09-29 ghy_happy

    深奥

    0

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    2016-05-30 lsblb

    学习呢！！！！！

    0

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    2016-05-30 lsblb

    学习呢！！！！！

    0

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    2016-05-30 lsblb

    学习呢！！！！！

    0

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    2016-03-26 Gsurgeon

    学习了谢谢

    0

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    2016-03-06 科研交流

    极好

    0

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    2016-03-06 科研交流

    嗯，学习了，极好

    0

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    2016-03-06 科研交流

    极好

    0

  10. [GetPortalCommentsPageByObjectIdResponse(id=197761, encodeId=da2719e761eb, content=果断收藏了，以后慢慢学习参考！, beContent=null, objectType=article, channel=null, level=null, likeNumber=92, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/ajNVdqHZLLCxzIqGgHGpnv0v7a7MZQHVVjxvBfHWenpTPmFhDxa6vn3qno88vft2DRqYcyUBQFCRouANp2WgxQ/0, createdBy=b35a44222, createdName=kane35, createdTime=Sun May 14 04:55:49 CST 2017, time=2017-05-14, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=137537, encodeId=b34e13e5378d, content=深奥, beContent=null, objectType=article, channel=null, level=null, likeNumber=84, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=1b2c1297487, createdName=ghy_happy, createdTime=Thu Sep 29 06:59:29 CST 2016, time=2016-09-29, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=87648, encodeId=96a08e64833, content=学习呢！！！！！, beContent=null, objectType=article, channel=null, level=null, likeNumber=163, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=f9f21613855, createdName=lsblb, createdTime=Mon May 30 18:53:00 CST 2016, time=2016-05-30, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=87647, encodeId=65dd8e647d5, content=学习呢！！！！！, beContent=null, objectType=article, channel=null, level=null, likeNumber=140, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=f9f21613855, createdName=lsblb, createdTime=Mon May 30 18:53:00 CST 2016, time=2016-05-30, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=87646, encodeId=5e3d8e6465f, content=学习呢！！！！！, beContent=null, objectType=article, channel=null, level=null, likeNumber=179, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=f9f21613855, createdName=lsblb, createdTime=Mon May 30 18:53:00 CST 2016, time=2016-05-30, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=73843, encodeId=91fde384368, content=学习了谢谢, beContent=null, objectType=article, channel=null, level=null, likeNumber=76, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=0a6a1604604, createdName=Gsurgeon, createdTime=Sat Mar 26 14:39:00 CST 2016, time=2016-03-26, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=67634, encodeId=ccc36e6340e, content=极好, beContent=null, objectType=article, channel=null, level=null, likeNumber=69, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=b5951686908, createdName=科研交流, createdTime=Sun Mar 06 22:36:00 CST 2016, time=2016-03-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=67636, encodeId=8a3e6e63697, content=嗯，学习了，极好, beContent=null, objectType=article, channel=null, level=null, likeNumber=160, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=b5951686908, createdName=科研交流, createdTime=Sun Mar 06 22:36:00 CST 2016, time=2016-03-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=67635, encodeId=54356e63529, content=极好, beContent=null, objectType=article, channel=null, level=null, likeNumber=100, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=b5951686908, createdName=科研交流, createdTime=Sun Mar 06 22:36:00 CST 2016, time=2016-03-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=67633, encodeId=bc0d6e63320, content=极好, beContent=null, objectType=article, channel=null, level=null, likeNumber=104, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=b5951686908, createdName=科研交流, createdTime=Sun Mar 06 22:36:00 CST 2016, time=2016-03-06, status=1, ipAttribution=)]
    2016-03-06 科研交流

    极好

    0

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