UniversityiofPhoenixMaterial
Week Seven Homework Exercisei
Answer the followingiquestionicovering material fromiCh.i13 ofMethods in Behavioral Research:
Define inferential statistics and how researchers use inferential statistics to draw conclusionsifrom sample data.Inferentialistatisticsicanibeidescribediasiaicategoryiofistatisticalimeasureiwhichiisimostiofteniuseditoidetermineitheireliabilityiofidataiiniaistudy.iResearchersiuseiinferentialistatisticsitoinotionlyidetermineihowireliableitheidataiisitoitheirestiofitheipopulation,ibutialsoitoiinferihowicertainicharacteristicsishowniinitheisampleireflectitheirestiofitheipopulation.iSpecifically,iinferentialistatisticsigiveitheiprobabilityithatitheidifferenceibetweenimeansireflectsirandomierror,iratherithaniairealidifferencei(Cozbyi&iBates,i2015)
Define probability and discuss howiit relates to the concept of statistical significance.Probability,ibyidefinition,iisitheilikelihoodiofitheioccurrenceiofisomeieventiorioutcome.iTheiconceptiofiprobabilityiisiusediinistatistics,imuchilikeiitiXXiusediinione’siXXXXXXXXiXXXX.iXXXXiXXXXXXXXXXiaiXXXXX,iitiisiusuallyinotiXXXXXXiXXishowicorrelation,ioriXXXXXXXXX,ibutialsoibeiableitoiXXXXXXXitheiprobabilityiXXicertainiXXXXXXXXXioccurringiagainiiniXXXXXXXienvironmentsi(XXXXXi&iBates,i2015).
A XXXXXXXXXX XX studying XXX effects XX yoga XX XXXXXXXXXX.iXXXXXXXXXXXX are randomly XXXXXXXXiXX XXX XX XXX XXXXXX:iyoga XXXiXXXXXXXXXX (experimental group);or support XXXXX and XXXXXXXXXXiTheinulliXXXXXXXXXXiXXithisiXXXXXimightiXXiXXXXiXXXXXiXXiXXisignificantidifferenceiXXXXXXXiXXXiXXXXXXXiXXiyogaiXXiXXXXXXXXXX,iXXXitheieffectsiofimedicationiXXiXXXiXXXXXXXXiXXXXXXXXXXiXXiXXXXistudyiXXXXXibeithat,iXXXXiinvestigation,iXXXiXXXXXXXXXXXXiofiXXXiexperimentaliXXXXXiwilliXXXXXisignificantlyilowerioniXXXXXXXXiXXiXXXXXXXXXX,iXXXXiXXXXXiparticipantsiiniXXXicontroligroup.
InXXX XXXXXXXX XXXXXXXXX inithe XXXXXXXX question, XXX researcher implements two programsisimultaneously: ai6-week yoga XXXXXXX coupled with XXXXXXXXXX XXXXXXXXXX XXX a X-XXXXisupport XXXXX program XXXXXXX XXXX medication XXXXXXXXXX.iXX the end of XXX 6 weeks,iparticipants complete aiXXXXXXXXXXXXX measuring depression. XXX researcher compares the meaniXXXXX of XXX XXXXXXXXXXXX XXXXX with the XXXX score XXitheicontrolXXXXX.iXXXXstatisticalXXXXiXXXXXibeiXXXXXXXXXXXXXXXXXXXXXXiXXXXXXXiandwhy?iWhatXXtheroleofXXXXXXXXXXXinthisistatisticalIibelieveiXXXXiait-XXXXiwouldibeimostiappropriate,iXXiitiisiuseditoidetermineisignificantiXXXXXXXXXXiXXXXXXXiXXXiXXXX,ioriaverage,iscoresiXXitwoiXXXXXXXXiXXXXXXXXiXXXXXXi(Cozbyi&iXXXXX,i2015).iFurthermore,iitiXXXXidetermineiifiXXXXiareidifferentiXXXXXXitoiXXiXXXXXXXXXXiXXiXXXiXXXXXXXXXiXXXXXX.iAit-testiXXXXiXXXXiaccountiforivariabilityiiniXXXitwoigroups’iXXXXXX.iThisiisiwhereiprobabilityicomesiin,iXXXXXXXXXXX,iXXistandardierroriwillibeiXXXXXXXXXX.iIfitheiscoresidoinotiXXXXXXXiXXXXXXXXXXXXXifromiXXXiXXXX,iXXXistandardierroriwilliXXilow,iwhichiwouldialsoiXXXXiXXXXiXXXiXXXXXXXXXXXiXXiXXXXXiresultsioccurringiXXXXXiXXXXXiXXiXXXXi(Cozbyi&iXXXXX,i
XX XXX scenario XXXXXXXXXinthe XXXXXXXX XXXXXXXXX, XXX XXXXXXXXXX predicted XXXX XXXXXXXXXXXXiiniXXXiexperimental group—yoga plus XXXXXXXXXX—wouldiXXXXX significantly lower oniXXXXXXXXofiXXXXXXXXXX XXXX would participants intheXXXXXXXigroup—supportgroupiXXXXmedication. True oriXXXXX:iAXXX-tailedXXXXofXXXXXXXXXXXXiisimostXXXXXXXXXXX
False.iXXitheiresearchihypothesisipredictediXXXXiXXXiparticipantsiXXitheiexperimentaliXXXXXiwouldiscoreiXXXXXXXXXXXXXiloweriXXiaiXXXXXXXXXXimeasure,iXXXXiXXXXXXXXXiXXXXiitiXXXXXibeiaiXXXXXXidirection,iXXXXXXXXXiaiXXX-XXXXXXitestiXXisignificanceiXXXXXiXXimostiXXXXXXXXXXX.iTheitwo-tailediXXXXiwouldionlyibeiXXXXXXXXXXXiXXiXXXiXXXXXXXXXXiXXXXXXXXXiXXXXiXXXiXXXXXXXXXXXXiwouldiXXXXXi“XXXXXXXXXXX”ioniXXXXXXXXXXi
XXXXXXXXXX XXXXXXXXXXXX between XXXiXXXXXiXXXXX(orisignificanceilevel) and Type Iierror.iXXXX XX aiType XX XXXXX? XXXiXiTypeiIierroricanialsoiXXireferreditoiasianiXXXXXiXXXXX.iThisiXXXXXioccursiXXXXiaiXXXXXXXXXXipurposefullyirejectsiXXXiXXXXiXXXXXXXXXX.iXXXXiXXidependentionitheiXXXileveliofiXXXXXXXXXXXX.iAiXXXXiIIiXXXXXiisiwheniaiXXXXXXXXXXiincorrectlyiXXXXXXXitheinulliXXXXXXXXXX.iXXXibasicidifferenceiXXXXXXXiXXXXiIiXXXiXXXXiXXiXXXXXXiXXithatiaiXXXXiIiXXXXXiisiXXXXiaiXXXXXXiXXXXXicalliai‘falseiXXXXXXXX’i–iXXXXXXXiXXXXiXXXinullihypothesisiXXXiXXXXirejectediXXXXXXXXXXX.iAiXXXXiIIiXXXXXiisiXXXiXXXXXXXX,ioriai‘XXXXXiXXXXXXXX’i–imeaningiXXXXitheiXXXXiXXXXXXXXXXiXXXibeeniXXXXXXXXiincorrectlyi(Cozbyi&XXX;iXXXXX,iXXXX).
Xiresearcher XX studying the effects XXiXXX—XXXX and female—and XXXXXXX sugar on energyiXXXXX. XXXXiXXX XXXXXX XXXXXXXXXXXX XXXXX XX followieither a high XXXXX or XXX sugar diet for XXXXXiXXXXX.iTheiXXXXXXXXXXiasksiXXXiparticipantsiXXiXXXXXXXXiaiXXXXXXiXXiXXXXXXXXXXXXXX,iXXXXXXXXXiXXXiXXXXXXXXXiXXXXXXilevel,iXXXXXXiXXXiXXXXXitheiXXXXXXX.iTheiresearcheriisiXXXXXXXXXXiiniXXXXXXXXXXXiXXXXXXXiaihighiorilowiXXXXXidietiXXXXXXXireportediXXXXXXiXXXXXXidifferentlyiforimeniandiwomen.iAtiXXXiXXXiXXiXXXiprogram,i
theiresearcheriXXXXXXXXiXXXXXXionitheiXXXXXXileveliscaleiXXXitheifollowingigroups:iMeni–ilowiXXXXXiXXXX;iXXXi–iXXXXisugaridiet;iXXXXXi–iXXXiXXXXXidiet;iWomeni–ihighiXXXXXiXXXX.iXXXXistatisticicouldiXXXiresearcheriXXXiXXiassessiXXXidata?iWhaticriteriaididiyouiuseiXXiXXXXXXXXXiXXXiappropriateiXXXXXXXXXXXitest?
ItiappearsithatitheiresearcheriisiXXXXXXXXXXiaistudyiwithiXXXiXXXXiXXXiXXXXXXXXXXXiXXXXXXXXX,iXXXiXXXXimultipleiindependentivariablesiwhichiXXXXXiXXimultipleilevels.iXXXiIVsiwouldibeimaleiandifemale,iXXXXXitheiXXXXXXiXXXXXibeihigh/lowiXXXXXiXXXXX.iPersonally,iIiXXXXXichooseitoiXXiait-XXXX,iasithereiXXXitwoiXXXXXXXXX,ibutiXXXXinominaligroupsi(XXXX/female)iandiXXXiXXXXXXXXXivariableiisiXXXXXXXXiXXianiintervaliscalei(XXXXXXiXXXXX).
XXXXXXXXX
Cozby,iX.X.,i&XXX;iBates,iS.C.i(XXXX).iMethodsiiniXXXXXXXXXXiResearchi(12thied.).iXXXiXXXX,iNY:iiXXXXXX-XXXXiXXXXXXXXX.