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Confirmatory Person-Oriented Mediation Analysis in Categorical Variables-Options and Limitations
Alexander von Eye1, Wolfgang Wiedermann2
1Michigan State University, East Lansing, MI, USA. voneye@msu.edu.
Integrative Psychological & Behavioral Science
|August 10, 2026
Summary
This study introduces novel methods for analyzing mediation hypotheses using relevance logic, offering a more substantive link between variables. These approaches enhance the understanding of full and partial mediation in developmental research.
Area of Science:
- Psychology
- Logic
- Statistics
Background:
- Classical logic presents limitations in analyzing complex relationships.
- Existing mediation models may not adequately differentiate between full and partial mediation.
Purpose of the Study:
- To propose three novel approaches for analyzing person-oriented mediation hypotheses.
- To introduce relevance logic as an alternative to classical logic for mediation analysis.
- To present confirmatory Configural Frequency Analysis for testing mediation hypotheses.
Main Methods:
- Utilizing relevance logic, which rejects the 'ex falso sequitur quodlibet' rule and requires variable sharing.
- Developing alternative concepts of mediation based on relevance logic, including conjunctive and implicative relations.
- Applying confirmatory Configural Frequency Analysis to test full or partial mediation hypotheses.
Main Results:
- Relevance logic provides a more nuanced framework for mediation analysis.
- Implicative mediation models, unlike conjunctive ones, can distinguish between full and partial mediation.
- Confirmatory Configural Frequency Analysis effectively tests mediation hypotheses.
Conclusions:
- The proposed methods offer a robust framework for analyzing person-oriented mediation.
- Relevance logic enhances the conceptualization and testing of mediation in psychological research.
- The study provides a valuable tool for researchers investigating adolescent development and mediation.
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