Publicação

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

Ver documento

Detalhes bibliográficos
Resumo:Loftus (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.
Autores principais:Garcia-Marques, Leonel
Outros Autores:Garcia-Marques, Teresa; Brauer, Markus
Assunto:Statistics Statistical inference
Ano:2014
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Ispa-Instituto Universitário
Idioma:inglês
Origem:Repositório do Ispa - Instituto Universitário

Registos relacionados

Atividades financiadas

Carregando projetos financiados...

Registos relacionados