资源描述：
《分层回归分析.pdf》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。
1、分层回归分析2007-12-0814:55:16
2、分类：专业补充
3、标签：
4、字号大中小订阅HierarchicalRegressionAnalysisInahierarchicalmultipleregression,theresearcherdecidesnotonlyhowmanypredictorstoenterbutalsotheorderinwhichtheyenter.Usually,theorderofentryisbasedonlogicalortheoreticalconsiderations.Therearethre
5、epredictorvariablesandonecriterionvariableinthefollowingdataset.AresearcherdecidedtheorderofentryisX1,X2,andX3.SPSSforWindows1.EnterData.2.ChooseAnalyze/Regression/Linear.Dependent:Select"y"andmoveittotheDependentvariablelist.First,clickonthevariabley.Next,clickontherig
6、htarrow.Block1of1Independent(s):Choosethefirstpredictorvariablex1andmoveittotheIndependent(s)box.Next,clicktheNextbuttonasshownbelow.Block2of2Clickthepredictorvariablex2andmoveittotheIndependent(s)box.Next,clicktheNextbuttonasshownbelow.Block3of3Clickthepredictorvariabl
7、ex3andmoveittotheIndependent(s)box.3.ClicktheStatisticsbutton.CheckRsquaredchange.ClickContinueandOK.SPSSOutput1.RsquareChangeRSquareandRSquareChangeOrderofEntryModel1:EnterX1Model1:Rsquare=.25ThepredictorX1aloneaccountsfor25%ofthevarianceinY.R2=.25Model2:EnterX2next.Mo
8、del2:Rsquare=.582TheIncreaseinRsquare:.582-.25=.332ThepredictorX2accountsfor33%ofthevarianceinYaftercontrollingforX1.R2=.25+.332=.582ModelThree:EnterX3thirdModel3:Rsquare=.835TheIncreaseinRsquare:.835-.582=.253ThepredictorX3accountsfor25%ofthevarianceinY,afterX1andX2wer
9、epartialedoutfromX3.R2=.25+.332+.253=.835About84%ofthevarianceinthecriterionvariablewasexplainedbythefirst(25%),second(33%)andthird(25%)predictorvariables.2.AdjustedRSquareForourexample,thereareonlyfivesubjects.However,therearethreepredictors.RecallthatRsquaremaybeovere
10、stimatedwhenthedatasetshavefewcases(n)relativetonumberofpredictors(k).DatasetswithasmallsamplesizeandalargenumberofpredictorswillhaveagreaterdifferencebetweentheobtainedandadjustedRsquare(.25vs..000,.582vs..165,and.835vs..338).3.FChangeandSig.FChangeIftheRsquarechangeas
11、sociatedwithapredictorvariableinquestionislarge,itmeansthatthepredictorvariableisagoodpredictorofthecriterionv
