Methodology for Identification, Visualization, and Clustering of Similar Behaviors in Dyadic Sequences Analyzed Through the Longitudinal Actor-Partner Interdependence Model With Markov Chains

The longitudinal actor-partner interdependence model (L-APIM) is frequently used to study dyadic relationships over time. When one deals with categorical longitudinal data, Markov chains emerge as a valuable analytical tool. This approach allows for the identification of interaction patterns in the...

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Main Authors: Bollenrücher, Mégane, Darwiche, Joëlle, Antonietti, Jean-Philippe
Format: Article
Language:English
Published: Université d'Ottawa 2024-03-01
Series:Tutorials in Quantitative Methods for Psychology
Subjects:
Online Access:https://www.tqmp.org/RegularArticles/vol20-1/p017/p017.pdf
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author Bollenrücher, Mégane
Darwiche, Joëlle
Antonietti, Jean-Philippe
author_facet Bollenrücher, Mégane
Darwiche, Joëlle
Antonietti, Jean-Philippe
author_sort Bollenrücher, Mégane
collection DOAJ
description The longitudinal actor-partner interdependence model (L-APIM) is frequently used to study dyadic relationships over time. When one deals with categorical longitudinal data, Markov chains emerge as a valuable analytical tool. This approach allows for the identification of interaction patterns in the L-APIM framework through the examination of the transition matrix. In the context of dyadic sample, investigating the similarity of behaviors between individuals becomes important. To address this question, visualization and grouping analysis are employed, providing valuable tools for discerning relationships with behavioral data. We introduce a novel methodological approach to ascertain such behavioral similarity using the probabilities into the transition matrix. In this article, we describe the utilization of multidimensional scaling and hierarchical clustering for identifying analogous behaviors within a dyadic sample. We illustrate the complete methodology using a simulated dataset. Codes in R language are included for implementation.
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spelling doaj.art-3236e7c5bb994083b0c2a04914ca066f2024-03-28T20:58:06ZengUniversité d'OttawaTutorials in Quantitative Methods for Psychology1913-41262024-03-01201173210.20982/tqmp.20.1.p017Methodology for Identification, Visualization, and Clustering of Similar Behaviors in Dyadic Sequences Analyzed Through the Longitudinal Actor-Partner Interdependence Model With Markov ChainsBollenrücher, MéganeDarwiche, JoëlleAntonietti, Jean-PhilippeThe longitudinal actor-partner interdependence model (L-APIM) is frequently used to study dyadic relationships over time. When one deals with categorical longitudinal data, Markov chains emerge as a valuable analytical tool. This approach allows for the identification of interaction patterns in the L-APIM framework through the examination of the transition matrix. In the context of dyadic sample, investigating the similarity of behaviors between individuals becomes important. To address this question, visualization and grouping analysis are employed, providing valuable tools for discerning relationships with behavioral data. We introduce a novel methodological approach to ascertain such behavioral similarity using the probabilities into the transition matrix. In this article, we describe the utilization of multidimensional scaling and hierarchical clustering for identifying analogous behaviors within a dyadic sample. We illustrate the complete methodology using a simulated dataset. Codes in R language are included for implementation.https://www.tqmp.org/RegularArticles/vol20-1/p017/p017.pdfdyadic sequence; apim model; markov chainsr
spellingShingle Bollenrücher, Mégane
Darwiche, Joëlle
Antonietti, Jean-Philippe
Methodology for Identification, Visualization, and Clustering of Similar Behaviors in Dyadic Sequences Analyzed Through the Longitudinal Actor-Partner Interdependence Model With Markov Chains
Tutorials in Quantitative Methods for Psychology
dyadic sequence; apim model; markov chains
r
title Methodology for Identification, Visualization, and Clustering of Similar Behaviors in Dyadic Sequences Analyzed Through the Longitudinal Actor-Partner Interdependence Model With Markov Chains
title_full Methodology for Identification, Visualization, and Clustering of Similar Behaviors in Dyadic Sequences Analyzed Through the Longitudinal Actor-Partner Interdependence Model With Markov Chains
title_fullStr Methodology for Identification, Visualization, and Clustering of Similar Behaviors in Dyadic Sequences Analyzed Through the Longitudinal Actor-Partner Interdependence Model With Markov Chains
title_full_unstemmed Methodology for Identification, Visualization, and Clustering of Similar Behaviors in Dyadic Sequences Analyzed Through the Longitudinal Actor-Partner Interdependence Model With Markov Chains
title_short Methodology for Identification, Visualization, and Clustering of Similar Behaviors in Dyadic Sequences Analyzed Through the Longitudinal Actor-Partner Interdependence Model With Markov Chains
title_sort methodology for identification visualization and clustering of similar behaviors in dyadic sequences analyzed through the longitudinal actor partner interdependence model with markov chains
topic dyadic sequence; apim model; markov chains
r
url https://www.tqmp.org/RegularArticles/vol20-1/p017/p017.pdf
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