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偏最小二乘回归在医学统计学中的应用

2015-07-03 MedSci MedSci原创

回归统计
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偏最小二乘回归是一种新型的多元统计数据分析方法，它与1983年由伍德和阿巴诺等人首次提出。近十年来，它在理论、方法和应用方面都得到了迅速的发展。密西根大学的弗耐尔教授称偏最小二乘回归为第二代回归分析方法。 偏最小二乘回归方法在统计应用中的重要性主要的有以下几个方面： （1）偏最小二乘回归是一种多因变量对多自变量的回归建模方法。 （2）偏最小二乘回归可以较好地解决许多以往用普通多元回归无法解决

偏最小二乘回归是一种新型的多元统计数据分析方法，它与1983年由伍德和阿巴诺等人首次提出。近十年来，它在理论、方法和应用方面都得到了迅速的发展。密西根大学的弗耐尔教授称偏最小二乘回归为第二代回归分析方法。 偏最小二乘回归方法在统计应用中的重要性主要的有以下几个方面： （1）偏最小二乘回归是一种多因变量对多自变量的回归建模方法。 （2）偏最小二乘回归可以较好地解决许多以往用普通多元回归无法解决的问题。在普通多元线形回归的应用中，我们常受到许多限制。最典型的问题就是自变量之间的多重相关性。如果采用普通的最小二乘方法，这种变量多重相关性就会严重危害参数估计，扩大模型误差，并破坏模型的稳定性。变量多重相关问题十分复杂，长期以来在理论和方法上都未给出满意的答案，这一直困扰着从事实际系统分析的工作人员。在偏最小二乘回归中开辟了一种有效的技术途径，它利用对系统中的数据信息进行分解和筛选的方式，提取对因变量的解释性最强的综合变量，辨识系统中的信息与噪声，从而更好地克服变量多重相关性在系统建模中的不良作用。 （3）偏最小二乘回归之所以被称为第二代回归方法，还由于它可以实现多种数据分析方法的综合应

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    2015-07-11 30397611

    #医学统计#

    0

  2. [GetPortalCommentsPageByObjectIdResponse(id=1632047, encodeId=d1d5163204eb9, content=<a href='/topic/show?id=be9f3422e0e' target=_blank style='color:#2F92EE;'>#医学统计#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=28, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=34227, encryptionId=be9f3422e0e, topicName=医学统计)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=b87121842187, createdName=30397611, createdTime=Sat Jul 11 17:04:00 CST 2015, time=2015-07-11, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=35150, encodeId=e77d351500c, content=期待有更多研究, beContent=null, objectType=article, channel=null, level=null, likeNumber=85, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 23:22:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34765, encodeId=37b334e65c6, content=这些应用很重要, beContent=null, objectType=article, channel=null, level=null, likeNumber=146, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34766, encodeId=54e634e6628, content=很有价值的文章, beContent=null, objectType=article, channel=null, level=null, likeNumber=87, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34767, encodeId=652d34e6776, content=希望能帮助更多人, beContent=null, objectType=article, channel=null, level=null, likeNumber=106, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=32823, encodeId=3bfe328237f, content=高级统计学。, beContent=null, objectType=article, channel=null, level=null, likeNumber=103, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/jW482SpianMayicTRbRZ5RzTetibytbqFDmFITWHyBWbxU7S9MYibgPSqvu0sYteH0N6zXqbU0Kf3Mbdb7yWM1Kud3zPgYBibE2SZ/0, createdBy=da7696924, createdName=qingfengqishi5, createdTime=Wed Jul 15 11:57:00 CST 2015, time=2015-07-15, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1442283, encodeId=bfaf144228388, content=<a href='/topic/show?id=4989e8938c9' target=_blank style='color:#2F92EE;'>#统计学#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=21, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=78938, encryptionId=4989e8938c9, topicName=统计学)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=df8a4916199, createdName=siiner, createdTime=Sun Jul 05 12:04:00 CST 2015, time=2015-07-05, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30710, encodeId=226d30e1046, content=非常难，但是，从这里我们知道了，这种方法是高级的回归, beContent=null, objectType=article, channel=null, level=null, likeNumber=61, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=c4a5105539, createdName=lovetcm, createdTime=Sat Jul 04 23:12:00 CST 2015, time=2015-07-04, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30462, encodeId=c5e53046286, content=收藏, beContent=null, objectType=article, channel=null, level=null, likeNumber=49, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=ee0d1618732, createdName=huaxipanxing, createdTime=Sat Jul 04 14:38:00 CST 2015, time=2015-07-04, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30454, encodeId=1382304542f, content=看不懂, beContent=null, objectType=article, channel=null, level=null, likeNumber=83, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=25b61624599, createdName=xykzfl, createdTime=Sat Jul 04 13:14:00 CST 2015, time=2015-07-04, status=1, ipAttribution=)]
    2015-08-06 hlycom3356

    期待有更多研究

    0

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    2015-08-06 hlycom3356

    这些应用很重要

    0

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    2015-08-06 hlycom3356

    很有价值的文章

    0

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    2015-08-06 hlycom3356

    希望能帮助更多人

    0

  6. [GetPortalCommentsPageByObjectIdResponse(id=1632047, encodeId=d1d5163204eb9, content=<a href='/topic/show?id=be9f3422e0e' target=_blank style='color:#2F92EE;'>#医学统计#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=28, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=34227, encryptionId=be9f3422e0e, topicName=医学统计)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=b87121842187, createdName=30397611, createdTime=Sat Jul 11 17:04:00 CST 2015, time=2015-07-11, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=35150, encodeId=e77d351500c, content=期待有更多研究, beContent=null, objectType=article, channel=null, level=null, likeNumber=85, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 23:22:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34765, encodeId=37b334e65c6, content=这些应用很重要, beContent=null, objectType=article, channel=null, level=null, likeNumber=146, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34766, encodeId=54e634e6628, content=很有价值的文章, beContent=null, objectType=article, channel=null, level=null, likeNumber=87, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34767, encodeId=652d34e6776, content=希望能帮助更多人, beContent=null, objectType=article, channel=null, level=null, likeNumber=106, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=32823, encodeId=3bfe328237f, content=高级统计学。, beContent=null, objectType=article, channel=null, level=null, likeNumber=103, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/jW482SpianMayicTRbRZ5RzTetibytbqFDmFITWHyBWbxU7S9MYibgPSqvu0sYteH0N6zXqbU0Kf3Mbdb7yWM1Kud3zPgYBibE2SZ/0, createdBy=da7696924, createdName=qingfengqishi5, createdTime=Wed Jul 15 11:57:00 CST 2015, time=2015-07-15, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1442283, encodeId=bfaf144228388, content=<a href='/topic/show?id=4989e8938c9' target=_blank style='color:#2F92EE;'>#统计学#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=21, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=78938, encryptionId=4989e8938c9, topicName=统计学)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=df8a4916199, createdName=siiner, createdTime=Sun Jul 05 12:04:00 CST 2015, time=2015-07-05, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30710, encodeId=226d30e1046, content=非常难，但是，从这里我们知道了，这种方法是高级的回归, beContent=null, objectType=article, channel=null, level=null, likeNumber=61, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=c4a5105539, createdName=lovetcm, createdTime=Sat Jul 04 23:12:00 CST 2015, time=2015-07-04, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30462, encodeId=c5e53046286, content=收藏, beContent=null, objectType=article, channel=null, level=null, likeNumber=49, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=ee0d1618732, createdName=huaxipanxing, createdTime=Sat Jul 04 14:38:00 CST 2015, time=2015-07-04, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30454, encodeId=1382304542f, content=看不懂, beContent=null, objectType=article, channel=null, level=null, likeNumber=83, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=25b61624599, createdName=xykzfl, createdTime=Sat Jul 04 13:14:00 CST 2015, time=2015-07-04, status=1, ipAttribution=)]
    2015-07-15 qingfengqishi5

    高级统计学。

    0

  7. [GetPortalCommentsPageByObjectIdResponse(id=1632047, encodeId=d1d5163204eb9, content=<a href='/topic/show?id=be9f3422e0e' target=_blank style='color:#2F92EE;'>#医学统计#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=28, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=34227, encryptionId=be9f3422e0e, topicName=医学统计)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=b87121842187, createdName=30397611, createdTime=Sat Jul 11 17:04:00 CST 2015, time=2015-07-11, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=35150, encodeId=e77d351500c, content=期待有更多研究, beContent=null, objectType=article, channel=null, level=null, likeNumber=85, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 23:22:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34765, encodeId=37b334e65c6, content=这些应用很重要, beContent=null, objectType=article, channel=null, level=null, likeNumber=146, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34766, encodeId=54e634e6628, content=很有价值的文章, beContent=null, objectType=article, channel=null, level=null, likeNumber=87, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=34767, encodeId=652d34e6776, content=希望能帮助更多人, beContent=null, objectType=article, channel=null, level=null, likeNumber=106, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=332823945, createdName=hlycom3356, createdTime=Thu Aug 06 10:48:00 CST 2015, time=2015-08-06, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=32823, encodeId=3bfe328237f, content=高级统计学。, beContent=null, objectType=article, channel=null, level=null, likeNumber=103, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/jW482SpianMayicTRbRZ5RzTetibytbqFDmFITWHyBWbxU7S9MYibgPSqvu0sYteH0N6zXqbU0Kf3Mbdb7yWM1Kud3zPgYBibE2SZ/0, createdBy=da7696924, createdName=qingfengqishi5, createdTime=Wed Jul 15 11:57:00 CST 2015, time=2015-07-15, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1442283, encodeId=bfaf144228388, content=<a href='/topic/show?id=4989e8938c9' target=_blank style='color:#2F92EE;'>#统计学#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=21, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=78938, encryptionId=4989e8938c9, topicName=统计学)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=df8a4916199, createdName=siiner, createdTime=Sun Jul 05 12:04:00 CST 2015, time=2015-07-05, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30710, encodeId=226d30e1046, content=非常难，但是，从这里我们知道了，这种方法是高级的回归, beContent=null, objectType=article, channel=null, level=null, likeNumber=61, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=c4a5105539, createdName=lovetcm, createdTime=Sat Jul 04 23:12:00 CST 2015, time=2015-07-04, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30462, encodeId=c5e53046286, content=收藏, beContent=null, objectType=article, channel=null, level=null, likeNumber=49, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=ee0d1618732, createdName=huaxipanxing, createdTime=Sat Jul 04 14:38:00 CST 2015, time=2015-07-04, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=30454, encodeId=1382304542f, content=看不懂, beContent=null, objectType=article, channel=null, level=null, likeNumber=83, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=25b61624599, createdName=xykzfl, createdTime=Sat Jul 04 13:14:00 CST 2015, time=2015-07-04, status=1, ipAttribution=)]
    2015-07-05 siiner

    #统计学#

    0

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    2015-07-04 lovetcm

    非常难，但是，从这里我们知道了，这种方法是高级的回归

    0

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    2015-07-04 huaxipanxing

    收藏

    0

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    2015-07-04 xykzfl

    看不懂

    0

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