常用回归分析方法介绍:logistic回归、poission回归、probit回归、cox回归

2012-04-29 冯国又 刘德平 MedSci原创

回归分析可以说是统计学中内容最丰富、应用最广泛的分支。这一点几乎不带夸张。包括最简单的t检验、方差分析也都可以归到线性回归的类别。而卡方检验也完全可以用logistic回归代替。 众多回归的名称张口即来的就有一大片,线性回归、logistic回归、cox回归、poission回归、probit回归等等等等,可以一直说的你头晕。为了让大家对众多回归有一个清醒的认识,这里简单地做一下总结: 1,

回归分析可以说是统计学中内容最丰富、应用最广泛的分支。这一点几乎不带夸张。包括最简单的t检验、方差分析也都可以归到线性回归的类别。而卡方检验也完全可以用logistic回归代替。 众多回归的名称张口即来的就有一大片,线性回归、logistic回归、cox回归、poission回归、probit回归等等等等,可以一直说的你头晕。为了让大家对众多回归有一个清醒的认识,这里简单地做一下总结: 1, 先说线性回归,这是我们学习统计学时最早接触的回归,就算其它的你都不明白,最起码你一定要知道,线性回归的因变量是连续变量,自变量可以是连续变量,也可以是分类变量。如果只有一个自变量,且只有两类,那这个回归就等同于t检验。如果只有一个自变量,且有三类或更多类,那这个回归就等同于方差分析。如果有2个自变量,一个是连续变量,一个是分类变量,那这个回归就等同于协方差分析。所以线性回归一定要认准一点,因变量一定要是连续变量。当然还有其它条件,比如独立性、线性、等方差性、正态性,这些说起来就话长了,而且在前面的几篇文章中我已经逐个介绍了,这里就不罗嗦了。 2, logistic回归,与线性回归并成为两大回归,应

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  1. [GetPortalCommentsPageByObjectIdResponse(id=1084551, encodeId=67f61084551e4, content=挺好,容易理解, beContent=null, objectType=article, channel=null, level=null, likeNumber=51, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=a3332487503, createdName=1246fd48m44暂无昵称, createdTime=Mon Dec 27 01:36:06 CST 2021, time=2021-12-27, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=970005, encodeId=b02a9e0005dd, content=赚积分, beContent=null, objectType=article, channel=null, level=null, likeNumber=31, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=a36e5510669, createdName=ms9000002127434622, createdTime=Tue Jun 01 08:48:30 CST 2021, time=2021-06-01, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=207688, encodeId=9db020e68829, content=收藏收藏,果断收藏 <br> , beContent=null, objectType=article, channel=null, level=null, likeNumber=48, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=aecf1635834, createdName=soaringeagle, createdTime=Wed Jun 07 11:10:27 CST 2017, time=2017-06-07, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=36338, encodeId=0ddc363383a, content=及时雨,有用, beContent=null, objectType=article, channel=null, level=null, likeNumber=126, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/NUyjXTCJjo6lR0HdZibhWZ3RhdaUDK6KyHGK2SicUtCduBWvF8hm7GFsXwViaPMPK97jxoI2XTaHOkOtJADxRrqzfrFIK5UtjJ5/0, createdBy=73f21396495, createdName=yoga2008, createdTime=Wed Sep 02 11:54:00 CST 2015, time=2015-09-02, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=18898, encodeId=7fd0188986c, content=非常清楚,对我很有帮助!, beContent=null, objectType=article, channel=null, level=null, likeNumber=105, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=ee2d1619300, createdName=Jianhui, createdTime=Thu Mar 26 01:56:00 CST 2015, time=2015-03-26, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=18034, encodeId=c9d31803415, content=受益匪浅~, beContent=null, objectType=article, channel=null, level=null, likeNumber=77, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=8b4977922, createdName=faustine, createdTime=Mon Mar 09 20:52:00 CST 2015, time=2015-03-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=13730, encodeId=42d113e30e0, content=说得很清楚,有用!, beContent=null, objectType=article, channel=null, level=null, likeNumber=114, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=058554270, createdName=kathy0228, createdTime=Sat Jan 03 22:04:00 CST 2015, time=2015-01-03, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=5660, encodeId=85b0566000, content=很详细, beContent=null, objectType=article, channel=null, level=null, likeNumber=67, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=700377999, createdName=294684942, createdTime=Sat Apr 20 01:36:00 CST 2013, time=2013-04-20, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1746719, encodeId=43671e4671945, content=<a href='/topic/show?id=88e91099e10' target=_blank style='color:#2F92EE;'>#logistic回归#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=29, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=10997, encryptionId=88e91099e10, topicName=logistic回归)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=d3c135838005, createdName=xlwang2703, createdTime=Sat Dec 22 05:15:00 CST 2012, time=2012-12-22, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1671683, encodeId=c9ab16e168332, content=<a href='/topic/show?id=c56c4051902' target=_blank style='color:#2F92EE;'>#回归分析#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=31, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=40519, encryptionId=c56c4051902, topicName=回归分析)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=a46f26833520, createdName=cenghis, createdTime=Mon Dec 17 08:15:00 CST 2012, time=2012-12-17, status=1, ipAttribution=)]
    2021-12-27 1246fd48m44暂无昵称

    挺好,容易理解

    0

  2. [GetPortalCommentsPageByObjectIdResponse(id=1084551, encodeId=67f61084551e4, content=挺好,容易理解, beContent=null, objectType=article, channel=null, level=null, likeNumber=51, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=a3332487503, createdName=1246fd48m44暂无昵称, createdTime=Mon Dec 27 01:36:06 CST 2021, time=2021-12-27, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=970005, encodeId=b02a9e0005dd, content=赚积分, beContent=null, objectType=article, channel=null, level=null, likeNumber=31, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=a36e5510669, createdName=ms9000002127434622, createdTime=Tue Jun 01 08:48:30 CST 2021, time=2021-06-01, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=207688, encodeId=9db020e68829, content=收藏收藏,果断收藏 <br> , beContent=null, objectType=article, channel=null, level=null, likeNumber=48, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=aecf1635834, createdName=soaringeagle, createdTime=Wed Jun 07 11:10:27 CST 2017, time=2017-06-07, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=36338, encodeId=0ddc363383a, content=及时雨,有用, beContent=null, objectType=article, channel=null, level=null, likeNumber=126, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/NUyjXTCJjo6lR0HdZibhWZ3RhdaUDK6KyHGK2SicUtCduBWvF8hm7GFsXwViaPMPK97jxoI2XTaHOkOtJADxRrqzfrFIK5UtjJ5/0, createdBy=73f21396495, createdName=yoga2008, createdTime=Wed Sep 02 11:54:00 CST 2015, time=2015-09-02, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=18898, encodeId=7fd0188986c, content=非常清楚,对我很有帮助!, beContent=null, objectType=article, channel=null, level=null, likeNumber=105, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=ee2d1619300, createdName=Jianhui, createdTime=Thu Mar 26 01:56:00 CST 2015, time=2015-03-26, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=18034, encodeId=c9d31803415, content=受益匪浅~, beContent=null, objectType=article, channel=null, level=null, likeNumber=77, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=8b4977922, createdName=faustine, createdTime=Mon Mar 09 20:52:00 CST 2015, time=2015-03-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=13730, encodeId=42d113e30e0, content=说得很清楚,有用!, beContent=null, objectType=article, channel=null, level=null, likeNumber=114, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=058554270, createdName=kathy0228, createdTime=Sat Jan 03 22:04:00 CST 2015, time=2015-01-03, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=5660, encodeId=85b0566000, content=很详细, beContent=null, objectType=article, channel=null, level=null, likeNumber=67, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=700377999, createdName=294684942, createdTime=Sat Apr 20 01:36:00 CST 2013, time=2013-04-20, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1746719, encodeId=43671e4671945, content=<a href='/topic/show?id=88e91099e10' target=_blank style='color:#2F92EE;'>#logistic回归#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=29, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=10997, encryptionId=88e91099e10, topicName=logistic回归)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=d3c135838005, createdName=xlwang2703, createdTime=Sat Dec 22 05:15:00 CST 2012, time=2012-12-22, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1671683, encodeId=c9ab16e168332, content=<a href='/topic/show?id=c56c4051902' target=_blank style='color:#2F92EE;'>#回归分析#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=31, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=40519, encryptionId=c56c4051902, topicName=回归分析)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=a46f26833520, createdName=cenghis, createdTime=Mon Dec 17 08:15:00 CST 2012, time=2012-12-17, status=1, ipAttribution=)]
    2021-06-01 ms9000002127434622

    赚积分

    0

  3. [GetPortalCommentsPageByObjectIdResponse(id=1084551, encodeId=67f61084551e4, content=挺好,容易理解, beContent=null, objectType=article, channel=null, level=null, likeNumber=51, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=a3332487503, createdName=1246fd48m44暂无昵称, createdTime=Mon Dec 27 01:36:06 CST 2021, time=2021-12-27, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=970005, encodeId=b02a9e0005dd, content=赚积分, beContent=null, objectType=article, channel=null, level=null, likeNumber=31, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=a36e5510669, createdName=ms9000002127434622, createdTime=Tue Jun 01 08:48:30 CST 2021, time=2021-06-01, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=207688, encodeId=9db020e68829, content=收藏收藏,果断收藏 <br> , beContent=null, objectType=article, channel=null, level=null, likeNumber=48, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=aecf1635834, createdName=soaringeagle, createdTime=Wed Jun 07 11:10:27 CST 2017, time=2017-06-07, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=36338, encodeId=0ddc363383a, content=及时雨,有用, beContent=null, objectType=article, channel=null, level=null, likeNumber=126, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/NUyjXTCJjo6lR0HdZibhWZ3RhdaUDK6KyHGK2SicUtCduBWvF8hm7GFsXwViaPMPK97jxoI2XTaHOkOtJADxRrqzfrFIK5UtjJ5/0, createdBy=73f21396495, createdName=yoga2008, createdTime=Wed Sep 02 11:54:00 CST 2015, time=2015-09-02, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=18898, encodeId=7fd0188986c, content=非常清楚,对我很有帮助!, beContent=null, objectType=article, channel=null, level=null, likeNumber=105, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=ee2d1619300, createdName=Jianhui, createdTime=Thu Mar 26 01:56:00 CST 2015, time=2015-03-26, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=18034, encodeId=c9d31803415, content=受益匪浅~, beContent=null, objectType=article, channel=null, level=null, likeNumber=77, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=8b4977922, createdName=faustine, createdTime=Mon Mar 09 20:52:00 CST 2015, time=2015-03-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=13730, encodeId=42d113e30e0, content=说得很清楚,有用!, beContent=null, objectType=article, channel=null, level=null, likeNumber=114, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=058554270, createdName=kathy0228, createdTime=Sat Jan 03 22:04:00 CST 2015, time=2015-01-03, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=5660, encodeId=85b0566000, content=很详细, beContent=null, objectType=article, channel=null, level=null, likeNumber=67, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=700377999, createdName=294684942, createdTime=Sat Apr 20 01:36:00 CST 2013, time=2013-04-20, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1746719, encodeId=43671e4671945, content=<a href='/topic/show?id=88e91099e10' target=_blank style='color:#2F92EE;'>#logistic回归#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=29, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=10997, encryptionId=88e91099e10, topicName=logistic回归)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=d3c135838005, createdName=xlwang2703, createdTime=Sat Dec 22 05:15:00 CST 2012, time=2012-12-22, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=1671683, encodeId=c9ab16e168332, content=<a href='/topic/show?id=c56c4051902' target=_blank style='color:#2F92EE;'>#回归分析#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=31, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=40519, encryptionId=c56c4051902, topicName=回归分析)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=a46f26833520, createdName=cenghis, createdTime=Mon Dec 17 08:15:00 CST 2012, time=2012-12-17, status=1, ipAttribution=)]
    2017-06-07 soaringeagle

    收藏收藏,果断收藏

    0

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    2015-09-02 yoga2008

    及时雨,有用

    0

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    2015-03-26 Jianhui

    非常清楚,对我很有帮助!

    0

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    2015-03-09 faustine

    受益匪浅~

    0

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    2015-01-03 kathy0228

    说得很清楚,有用!

    0

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    2013-04-20 294684942

    很详细

    0

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