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Buy three but get only two: The smallest effect in a 2 × 2 ANOVA is always uninterpretable

dc.contributor.authorGarcia-Marques, Leonel
dc.contributor.authorGarcia-Marques, Teresa
dc.contributor.authorBrauer, Markus
dc.date.accessioned2016-12-29T18:14:17Z
dc.date.available2016-12-29T18:14:17Z
dc.date.issued2014
dc.description.abstractLoftus (Memory & Cognition 6:312-319, 1978) distinguished between interpretable and uninterpretable interactions. Uninterpretable interactions are ambiguous, because they may be due to two additive main effects (no interaction) and a nonlinear relationship between the (latent) outcome variable and its indicator. Interpretable interactions can only be due to the presence of a true interactive effect in the outcome variable, regardless of the relationship that it establishes with its indicator. In the present article, we first show that same problem can arise when an unmeasured mediator has a nonlinear effect on the measured outcome variable. Then we integrate Loftus's arguments with a seemingly contradictory approach to interactions suggested by Rosnow and Rosenthal (Psychological Bulletin 105:143-146, 1989). We show that entire data patterns, not just interaction effects alone, produce interpretable or noninterpretable interactions. Next, we show that the same problem of interpretability can apply to main effects. Lastly, we give concrete advice on what researchers can do to generate data patterns that provide unambiguous evidence for hypothesized interactions.pt_PT
dc.description.sponsorshipFundação para a Ciência e a Tecnologia (FCT)pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationPsychonomic Bulletin and Review, 21, 1415-1430. Doi: 10.3758/s13423-014-0640-3pt_PT
dc.identifier.doi10.3758/s13423-014-0640-3pt_PT
dc.identifier.issn1069-9384
dc.identifier.urihttp://hdl.handle.net/10400.12/5181
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringer Verlagpt_PT
dc.relationThe Paradox of Stereotypes and other Beliefs: Enduring, Self-Perpetuating but Context-Dependent - Exploring a New Model
dc.relation.publisherversionhttp://link.springer.com/article/10.3758%2Fs13423-014-0640-3pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectStatisticspt_PT
dc.subjectStatistical inferencept_PT
dc.titleBuy three but get only two: The smallest effect in a 2 × 2 ANOVA is always uninterpretablept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleThe Paradox of Stereotypes and other Beliefs: Enduring, Self-Perpetuating but Context-Dependent - Exploring a New Model
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FPSI-PSO%2F111992%2F2009/PT
oaire.citation.conferencePlaceGermanypt_PT
oaire.citation.endPage1430pt_PT
oaire.citation.issue6pt_PT
oaire.citation.startPage1415pt_PT
oaire.citation.titlePsychonomic Bulletin and Reviewpt_PT
oaire.citation.volume21pt_PT
oaire.fundingStream3599-PPCDT
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
relation.isProjectOfPublication8b2cced7-e749-47a7-8b32-00b81dc24234
relation.isProjectOfPublication.latestForDiscovery8b2cced7-e749-47a7-8b32-00b81dc24234

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