Testing Interactions in Multinomial Processing Tree Models

Multinomial processing tree (MPT) models allow testing hypotheses on latent psychological processes that underlie human behavior. However, past applications of this model class have mainly been restricted to the analysis of main effects. In this paper, we adopt the interaction concept as defined in...

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Main Authors: Beatrice G. Kuhlmann, Edgar Erdfelder, Morten Moshagen
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-11-01
Series:Frontiers in Psychology
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fpsyg.2019.02364/full
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author Beatrice G. Kuhlmann
Edgar Erdfelder
Morten Moshagen
author_facet Beatrice G. Kuhlmann
Edgar Erdfelder
Morten Moshagen
author_sort Beatrice G. Kuhlmann
collection DOAJ
description Multinomial processing tree (MPT) models allow testing hypotheses on latent psychological processes that underlie human behavior. However, past applications of this model class have mainly been restricted to the analysis of main effects. In this paper, we adopt the interaction concept as defined in log-linear models and show why it is appropriate for MPT models. We then explain how to implement and test ordinal and disordinal two-way interaction hypotheses in MPT models. We also show how our method generalizes to higher-order interactions involving three or more factors. An empirical example from source memory and aging demonstrates the applicability of this method and allows for directly testing the associative deficit theory that age differences are larger in associative (e.g., source) memory as opposed to item memory. Throughout the paper, we explain how most analytic steps can be easily implemented in the freely available software multiTree.
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spelling doaj.art-691b5e3ee3034d3f806d8a5e3898025f2022-12-21T19:05:13ZengFrontiers Media S.A.Frontiers in Psychology1664-10782019-11-011010.3389/fpsyg.2019.02364488778Testing Interactions in Multinomial Processing Tree ModelsBeatrice G. Kuhlmann0Edgar Erdfelder1Morten Moshagen2Department of Psychology, School of Social Sciences, University of Mannheim, Mannheim, GermanyDepartment of Psychology, School of Social Sciences, University of Mannheim, Mannheim, GermanyDepartment of Psychology, Ulm University, Ulm, GermanyMultinomial processing tree (MPT) models allow testing hypotheses on latent psychological processes that underlie human behavior. However, past applications of this model class have mainly been restricted to the analysis of main effects. In this paper, we adopt the interaction concept as defined in log-linear models and show why it is appropriate for MPT models. We then explain how to implement and test ordinal and disordinal two-way interaction hypotheses in MPT models. We also show how our method generalizes to higher-order interactions involving three or more factors. An empirical example from source memory and aging demonstrates the applicability of this method and allows for directly testing the associative deficit theory that age differences are larger in associative (e.g., source) memory as opposed to item memory. Throughout the paper, we explain how most analytic steps can be easily implemented in the freely available software multiTree.https://www.frontiersin.org/article/10.3389/fpsyg.2019.02364/fullmultinomial processing tree modelsinteractionsparametric order constraintsassociative deficit hypothesiscognitive aging
spellingShingle Beatrice G. Kuhlmann
Edgar Erdfelder
Morten Moshagen
Testing Interactions in Multinomial Processing Tree Models
Frontiers in Psychology
multinomial processing tree models
interactions
parametric order constraints
associative deficit hypothesis
cognitive aging
title Testing Interactions in Multinomial Processing Tree Models
title_full Testing Interactions in Multinomial Processing Tree Models
title_fullStr Testing Interactions in Multinomial Processing Tree Models
title_full_unstemmed Testing Interactions in Multinomial Processing Tree Models
title_short Testing Interactions in Multinomial Processing Tree Models
title_sort testing interactions in multinomial processing tree models
topic multinomial processing tree models
interactions
parametric order constraints
associative deficit hypothesis
cognitive aging
url https://www.frontiersin.org/article/10.3389/fpsyg.2019.02364/full
work_keys_str_mv AT beatricegkuhlmann testinginteractionsinmultinomialprocessingtreemodels
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AT mortenmoshagen testinginteractionsinmultinomialprocessingtreemodels