This"quickstart"guideshowsyouhowtocarryoutaKruskalWallisHtestusingSPSSStatistics,aswellasinterpretandreporttheresultsfromthistest.However,beforeweintroduceyoutothisprocedure,youneedtounderstandthedifferentassumptionsthatyourdatamustmeetinorderforaKruskalWallisHtesttogiveyouavalidresult.Wediscusstheseassumptionsnext. ItisimportanttorealizethattheKruskalWallisHtestisanomnibusteststatisticandcannottellyouwhichspecificgroupsofyourindependentvariablearestatisticallysignificantlydifferentfromeachotheritonlytellsyouthatatleasttwogroupsweredifferent.Sinceyoumayhavethree,four,fiveormoregroupsinyourstudydesign,determiningwhichofthesegroupsdifferfromeachotherisimportant.Youcandothisusingaposthoctest(N.B.,wediscussposthoctestslaterinthisguide).
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TheKruskalWallisHtest(sometimesalsocalledthe"onewayANOVAonranks")isarankbasednonparametrictestthatcanbeusedtodetermineiftherearestatisticallysignificantdifferencesbetweentwoormoregroupsofanindependentvariableonacontinuousorordinaldependentvariable.ItisconsideredthenonparametricalternativetotheonewayANOVA,andanextensionoftheMannWhitneyUtesttoallowthecomparisonofmorethantwoindependentgroups.įorexample,youcoulduseaKruskalWallisHtesttounderstandwhetherexamperformance,measuredonacontinuousscalefrom0100,differedbasedontestanxietylevels(i.e.,yourdependentvariablewouldbe"examperformance"andyourindependentvariablewouldbe"testanxietylevel",whichhasthreeindependentgroups:studentswith"low","medium"and"high"testanxietylevels).Alternately,youcouldusetheKruskalWallisHtesttounderstandwhetherattitudestowardspaydiscrimination,whereattitudesaremeasuredonanordinalscale,differedbasedonjobposition(i.e.,yourdependentvariablewouldbe"attitudestowardspaydiscrimination",measuredona5pointscalefrom"stronglyagree"to"stronglydisagree",andyourindependentvariablewouldbe"jobdescription",whichhasthreeindependentgroups:"shopfloor","middlemanagement"and"boardroom").