Graphically: scatter plots with a line of best fit when relationships are clear; many psychology correlations are modest (around
r \6{-}1 \,to\, 1, with typical values around \(0.3∗∗or<strong>−0.3</strong>).</p></li><li><p>Nonlinearrelationships:manyrelationshipsarenotlinear(e.g.,alcohol′seffectsonarousalarecurvilinear).</p></li><li><p>Curvilinearexample:inverted−Urelationship(highdosereducesarousalafteraninitialboost).Asimplerepresentationis<br>y = -a x^2 + b x + c, \text{with } a>0</p></li></ul></li><li><p>Inpractice,correlationstellusaboutassociationbutnotcausationormechanism;trueexperimentsprovidecausalinference.</p></li><li><p>Chapter2foreshadow:theneedfortrueindependentvariablestoestablishcausality.</p></li></ul><h3id="b10ed47a−e552−4f47−8195−b390f644e827"data−toc−id="b10ed47a−e552−4f47−8195−b390f644e827"collapsed="false"seolevelmigrated="true">Chapter2:TrueIndependentVariable</h3><ul><li><p>Inpsychology,correlationsarecommonbuthavelimitations:theycannotestablishcausality,directionality,orcausalmechanisms.</p></li><li><p>Threecoreadvantagesofatrueexperiment(causalinference):</p><ul><li><p>Covariation:thecauseandeffectcovary;formally,forabinaryIVC,theprobabilityoftheeffectEdifferswithC:P(E|C=1)
eq P(E|C=0)orequivalently ext{Cov}(C,E)
eq 0.</p></li><li><p>Temporalprecedence:thecauseoccursbeforetheeffect.</p></li><li><p>Eliminationofalternatives:bycontrollingconfoundsandusingrandomassignment,otherplausibleexplanationsaresystematicallyruledout.</p></li></ul></li><li><p>Intrueexperiments,youcandemonstrateacausalrelationship:ifthecauseoccurs,theeffectoccurs;ifthecausedoesn’toccur,theeffectdoesn’toccur(undercontrolledconditions).</p></li><li><p>Temporalordermatters:experimentscanrevealbidirectionalrelationshipsthatcorrelationalworkcannot(e.g.,impulsivityanddruguseinfluenceeachotherinafeedbackloop).</p></li><li><p>Real−worldrealizations:manypublishedcorrelationsaremodest;strong,robustcorrelations(e.g.,near0.6–0.7)arerarebutmeaningful;still,causalinferencerequiresmorethancorrelation.</p></li><li><p>Keytakeaway:correlationalresearchisvaluablebutinsufficientforansweringcausalquestions;trueexperimentsprovideaframeworkforestablishingcause−effectchains.</p></li><li><p>Whentrueexperimentsaren’tpossibleforethicalorpracticalreasons,researcherssometimesrelyonanimalmodelstostudymechanismsandthentranslatefindingstohumans.</p></li><li><p>Recapofwhatatrueexperimentaffords:acausalclaimviacovariation,temporalorder,andrulingoutplausiblealternatives;somethingcorrelationscannotdo.</p></li></ul><h3id="e9a885ed−dd54−4f0a−a2a0−1d941f823f5e"data−toc−id="e9a885ed−dd54−4f0a−a2a0−1d941f823f5e"collapsed="false"seolevelmigrated="true">Chapter3:ConfoundingVariable</h3><ul><li><p>Definition:Aconfoundingvariableisanuncontrolledvariablethatvariesalongwiththeindependentvariableandcanbiasresults.</p></li><li><p>Example1:Dose−volumeconfoundinanimaldruginjections.</p><ul><li><p>Problem:asdrugdoseincreases,injectionvolumeoftenincreases.Theobservedimprovementinperformancecouldbeduetovolume(discomfort,physiologicalstress)ratherthandrugeffect.</p></li><li><p>Fix:keeptheinjectionvolumeconstantacrossdoses;adjustdrugconcentrationsothevolumeisidenticalwhiledrugamountchanges.</p></li></ul></li><li><p>Example2:Brainregioninactivationstudy.</p><ul><li><p>Themanipulation(inactivationofabrainregion)mayinducestresssimplyfromhandlingtheanimal,whichcanalterbehavior.</p></li><li><p>Fix:handleallanimalsuniformly,regardlessofcondition,toensurestressdoesnotcovarywiththebrainmanipulation.</p></li></ul></li><li><p>Example3:Drugself−administrationinisolatedrats.</p><ul><li><p>Isolatingratscreatesasocialenvironmentconfound;socialisolationitselfinfluencesdrug−seekingbehavior.</p></li><li><p>Insight:confoundscanleadtoimportantdiscoveries(e.g.,socialisolationasapredictorofdruguse).</p></li></ul></li><li><p>Generalpoint:evenwell−designedexperimentscanhaveconfounds;thegoalistominimizethemand,whenpossible,designstudiesthatisolatethevariableofinterest.</p></li><li><p>Technicalnote:thetermconfoundingvariableissometimesusedloosely;thestrictdefinitioninvolvesavariablethatmoveswiththeIV;otherrelatedtermsincludethird−variableproblemorhiddenvariable.</p></li><li><p>Practicaltakeaway:whenevaluatingastudy,checkforpotentialconfounds(e.g.,volume,handling,ordereffects)andlookforwhethertheresearchershavecontrolledfororrandomizedthesefactors.</p></li></ul><h3id="efe18013−2aae−49fe−bc4e−18fd09773105"data−toc−id="efe18013−2aae−49fe−bc4e−18fd09773105"collapsed="false"seolevelmigrated="true">Chapter4:DoseOfDrug</h3><ul><li><p>Indrugstudies,theIVisthedoseandistypicallyimplementedastreatmentarms(levelsoftheIV):aplacebo(nodrug),lowdose,mediumdose,highdose,etc.</p></li><li><p>Placebovsvehicle:placeboisano−drugconditiongiveninpillform(sugarpill)toensureparticipantscannottelliftheyreceivedthedrug;vehiclereferstothesalineorsaltsolutionusedforinjectionsinanimalstudies.</p></li><li><p>Demandcharacteristics:participants’expectationsaboutthedrugcanaltertheirbehavior;therefore,placebocontrolshelpisolatepharmacologicaleffectsfromexpectancyeffects.</p></li><li><p>Blinding:</p><ul><li><p>Single−blind:theparticipantdoesnotknowwhichdosetheyreceive.</p></li><li><p>Double−blind:neithertheparticipantnortheresearcheradministeringthedoseknowsthedoselevel;codesarehiddenandonlyrevealedafterdatacollection.</p></li><li><p>Purpose:reduceexpectationbiasandobserverbias;preventresearchersfromunintentionallycueingparticipants.</p></li></ul></li><li><p>Open−labelstudies:allpartiesknowthetreatment;usedwhensafetyconcernsorethicsrequiretransparency(e.g.,terminalillnesswhereanexperimentaldrugisinvolved).</p></li><li><p>Ethicalconstraints:completelyethicaltodomultipledrugdosesinhumansonlyundercarefuloversight;insomecases,highdosesmaybeethicallyunacceptable,leadingtolimiteddosinginhumanstudies.</p></li><li><p>Designchoicesbeyonddose:considerotherindependentvariablessuchassleepmanipulation,studyingtime,orsocialisolationastheIV,withdose−likeframing.</p></li><li><p>Experimentaldesignlanguage:IVlevelsarecalledtreatmentarms;eachlevelisaseparateconditiontowhichparticipantsarerandomlyassigned(between−subjects)oralllevelsaregiventothesamesubjects(within−subjects).</p></li><li><p>Practicaltakeaway:startexperimentaldesignbygroundingtheIVinadose−likestructureandthinkaboutblinding,placebo,andethicalconstraintsfromtheoutset.</p></li></ul><h3id="072c7afd−0bc5−4805−ae28−02b3ec30ed28"data−toc−id="072c7afd−0bc5−4805−ae28−02b3ec30ed28"collapsed="false"seolevelmigrated="true">Chapter5:ConsentOfDrug</h3><ul><li><p>Whyanimalresearchisvaluable:therearequestionsyoucannotethicallyaskinhumans(e.g.,heroinexposure,brainmanipulation)butareessentialtounderstandmechanisms.</p></li><li><p>Animalmodelsenableinvasiveprocedures,brainrecordings,andgeneticmanipulationthatwouldbeunethicalinhumans.</p></li><li><p>Ethicalgovernance:pre−approvalisrequired;justificationthatnoothermethodcouldanswerthequestion;usetheminimumnumberofanimals;animalsarecloselymonitoredandcaredforunderestablishedguidelines.</p></li><li><p>Biosafetyandoversight:university−levelanimalcarecommittees(CCAC/ACC),provincialandfederalregulatorybodiesensuredailywelfareandcompliance;researchersfollowinstitutionalcareprotocols.</p></li><li><p>Practicalstatistics:evenwithanimalmodels,thenumberofanimalsusediskepttoaminimum;animalresearchisasmallfractionofoverallanimalusecomparedwithagriculture.</p></li><li><p>Endpointandreplacement:researchersmustconsideralternatives(e.g.,simulations,insilicomodels)andonlyuseanimalsifnecessary.</p></li><li><p>Translationtohumans:animaldataoftentranslatewelltohumanbiology(e.g.,gamblingresearch)butstillrequirecautiousinterpretation.</p></li><li><p>Humansubjectsethics:</p><ul><li><p>Informedconsentisessential;consentisanongoingsocialcontract,andparticipantscanwithdrawatanytime.</p></li><li><p>Deceptionandconfederatesmaybeusedbutmustbeethicallyjustifiedanddebriefedafterthestudy.</p></li><li><p>Debriefingensuresparticipantsunderstandthestudy′spurposeandtheirrole.</p></li></ul></li><li><p>Deceptionandconsent:sometimesdeceptionisused(e.g.,withconfederates)butmustbeethical,non−harmful,anddisclosedindebriefing.</p></li><li><p>Opendiscussionsaboutconsent:participantsshouldbefreetoremoveconsentevenafterdatacollectioniftheyfeeluncomfortable.</p></li><li><p>Thebottomline:ethicaloversightandinformedconsentarenon−negotiable;thewelfareofparticipantsandanimalssupersedesresearchgains.</p></li></ul><h3id="993779d2−c8e8−4d7b−a4c9−28b7f7dd6a0d"data−toc−id="993779d2−c8e8−4d7b−a4c9−28b7f7dd6a0d"collapsed="false"seolevelmigrated="true">Chapter6:TheIndependentVariable</h3><ul><li><p>Drugstudiesinhumansaredifficultandoftenethicallyconstrained;multiple−dosedesignsareoftennotfeasibleinhumansunlessthedrugisalreadylegallyavailableandusedbythepublic.</p></li><li><p>Screeningconcerns:pre−screeningforhealthconditions(e.g.,heartconditions)isnecessarytoensuresafety;screeningproceduresmayneedtobalancethoroughnesswithethicaldisclosure.</p></li><li><p>Ethicsoutrankdataquality:safetyandethicalconsiderationsoverridetheidealityofthedata;researchersmustadaptdesigntoprotectparticipants.</p></li><li><p>Practicaltakeaway:inmanystudies,you’lldesignaroundthestrongestfeasibleIVconcept(e.g.,dose,sleepamount,orhoursstudied)ratherthanafullidealizeddose−responsedesign.</p></li><li><p>Thekeymessage:berealisticaboutwhatcanethicallybemanipulatedinhumans;useanimalmodelsorexistingclinicians’medicationswhenappropriatetoanswerquestionsthatcannotbestudieddirectlyinhumans.</p></li></ul><h3id="4862598a−4157−4901−9832−04d5effeba63"data−toc−id="4862598a−4157−4901−9832−04d5effeba63"collapsed="false"seolevelmigrated="true">Chapter7:DifferentIndependentVariable</h3><ul><li><p>DesigningexamsandpapersrequiresclearoperationalizationandjustificationforthechosenIV.</p></li><li><p>Theexamstressesthreescoringcomponents:content(≈35P(E|C=1)
eq P(E|C=0) \text{or} \ \text{Cov}(C,E)
eq 0.</p></li><li><p>Temporalprecedence:thecauseoccursbeforetheeffect.</p></li><li><p>Eliminationofalternatives:controlforconfoundingvariablestoruleoutthird−variableexplanations.</p></li><li><p>Correlationcoefficient:r \in [-1,1], with typical psychology values around \(0.3\) or \(-0.3\).* Strong correlations are closer to ±1.