group differences in generalized linear models

《group differences in generalized linear models》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在工程資料-天天文庫(kù)。

1、Chapter9GroupDifferencesinGeneralizedLinearModelsTimF.LiaoAbstractThischapterdealswithmakingcomparisonsbetweenTxedgroupsintheframeworkofgeneralizedlinearmodels.First,webrie?yintroducegeneralizedlinearmodels,themostcommontypeofregressionmodels.Next,wediscus

2、sasimplesystemforanalyzinggroupdifferencesinregression.Weprimarilyfocusontwotypesofcomparisons?analyzingdifferencesintheparametervectorsofthelinearpredictoranddifferencesintheunderlyingdistributionsforthegroupsinthemodel.Toillustratesuchcomparativemethodsf

3、orgroupdifferences,weperformanalysesusingreal-worlddata.Theoretically,groupdifferencesinregressionestimatescanbeviewedasanexampleofconditionalcausality.Practically,testinggroupdifferencesinregressionmayseemanyusefulapplicationsinsocialscienceresearch.Intro

4、ductionThischapterdealswiththetopicofmakinggroupcomparisonsinregressionanalysis.Byògroupcom-parisons,ówemeanexaminingthedifferencesincertainstatisticalpropertiesbetweenTxedgroups.òRegressionanalysisóreferstoanalysisapplyinganymemberofthefamilyofstatistical

5、modelsknownasgeneralizedlinearmodelsortheirextensions.Forcomparingunderlyingdistributions,theframeworkofgeneralizedlinearmodelsisconvenientbecausecertainmodelsmayassumedifferentstatisticaldistributions.Makingpropercomparisonsisfundamentallyimportantincondu

6、ctingempiricalsociologicalresearch,becauseòvirtuallyalltheorieswithempiricalramiTcationsimplysomeformoranotherofcomparisonó(Lieberson1985:45).ThischapterpresentsasystematicmethodformakingcomparisonsbetweenTxedgroupsintheregressionsetting,followingtheprinci

7、plesforsuchpurposesinLiao(2002).Wedo,however,gobeyondtheearliertreatmentbyexaminingmorecloselydistributionaldifferencesbetweengroupsandbetweenlinkfunctionsaswellaseffectsdecompositioninthesystematiccomponent.Mostoften,dataanalystsseektocompareparametersacr

8、ossTxedsocialgroupssuchasgender,race,andnationalitybytestingtheirhypothesizedequality.This,however,representsonlyone,albeitarguablythemostcommon,typeofcomparison.Inaddition,onemaybeinterestedincomparingacross