A Bayesian EAP-Based Nonlinear Extension of Croon and Van Veldhoven’s Model for Analyzing Data from Micro–Macro Multilevel Designs

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

  • Steffen Zitzmann
  • Julian F. Lohmann
  • Georg Krammer
  • Christoph Helm
  • Burak Aydin
  • Martin Hecht

Croon and van Veldhoven discussed a model for analyzing micro–macro multilevel designs in which a variable measured at the upper level is predicted by an explanatory variable that is measured at the lower level. Additionally, the authors proposed an approach for estimating this model. In their approach, estimation is carried out by running a regression analysis on Bayesian Expected a Posterior (EAP) estimates. In this article, we present an extension of this approach to interaction and quadratic effects of explanatory variables. Specifically, we define the Bayesian EAPs, discuss a way for estimating them, and we show how their estimates can be used to obtain the interaction and the quadratic effects. We present the results of a “proof of concept” via Monte Carlo simulation, which we conducted to validate our approach and to compare two resampling procedures for obtaining standard errors. Finally, we discuss limitations of our proposed extended Bayesian EAP-based approach.

Original languageEnglish
Article number842
JournalMathematics
Volume10
Issue number5
Number of pages15
DOIs
Publication statusPublished - 07.03.2022

    Research areas

  • Bayes, EAP, Micro–macro design, Multilevel modeling, Nonlinear
  • Educational science

Documents

DOI

Recently viewed

Activities

  1. The Participants´ Perspective on Challenges, Disappointments & Success Factors in Research-Practice Partnerships in Teacher Education
  2. Media and Education in regard to Young Refugees in Germany – Results of a Qualitative Study with Young Refugees and Social Workers
  3. Formaldehydbelastungen mit dem Arduino untersuchen: Eine Unterrichts- einheit mit forschendem Lernen und Wissenschaftskommunikation
  4. Sustainability-oriented targets in executive compensation – Symbolic measures or significant catalyst for a sustainable transition?
  5. University Teachers as Agents of Change – the Outcome of a 1-Year Teacher-Training for Higher Education for Sustainable Development
  6. The revolution will not be liked. On the systemic limits of protests and political campaigns on commercial social media platforms
  7. Wolfgang Hilbig - Poetik und Herkunft: Vortrag und Lesung auf Einladung der Geburtstadt des Autors anlässlich dessen 70. Geburtstages
  8. Emotions as Rationale in Urban Artist Districts and Artist Housing Complexes: Examples from Phoenix AZ, Baltimore MD, and Hamburg GER
  9. (Re)Constructing a Sociology Of the Arts In the 21th Century: Problems and Perspectives - Inserting "Space" In The Sociology Of The Arts
  10. Fachinhaltliches Lernen beim offenen Experimentieren: Ergebnisse der Erprobung einer Lernumgebung zum Thema „Dem Zucker auf der Spur“
  11. „‚Hohe Bilder vor der Seele‘: Kleists Dramaturgie kollektiv-politischer Einbildungskraft unter dem Einfluss der ‚Kantischen Philosophie‘“.
  12. Power poles and tall trees adjacent to sunflower fields increase pest damage caused by the invasive Rose-ringed Parakeet in Israel
  13. Potenzielle ‚Familienähnlichkeit‘ zwischen der sozioökonomischen Bildung und dem Lernfeldansatz der wirtschaftsberuflichen Bildung
  14. Deutsch-Französisches Doktorandenkolleg zur Rolle ethnologischer Museen „Den 'Anderen' repräsentieren: Museen, Universitäten, Ethnologie“

Publications

  1. Variability in leaf traits reveals contrasting strategies between forest and grassland woody communities across southern Brazil
  2. Sources and pathways of biocides and their transformation products in urban storm water infrastructure of a 2 ha urban district
  3. Enrique Mejías García: Offenbach, compositor de zarzuelas. Madrid: ICCMU (Colección Música Hispana. Textos. Estudios n°24), 2022 (507 págs.)
  4. Leitlinien für einen armuts- und gendersensiblen Religionsunterricht. Reflexionshilfen zur Praxis inklusiver religiöser Bildung
  5. Zur curricularen Validität des BilWiss 2.0-Tests zur Erfassung des bildungswissenschaftlichen Wissens von (angehenden) Lehrkräften
  6. Integrative Entrepreneurshipforschung - Identifikation von Schnittstellen zwischen soziologischer und ökonomischer Perspektive
  7. Distribution and community structure of araneocoenoses (Araneae) along an altitudinal gradient on Kozuf Mountain (North Macedonia)
  8. Science-Fiction, spekulativer Feminismus und strafkritische Fabulation. Strafabolitionismus mit Ursula K. Le Guins "The Dispossessed".
  9. A Bayesian EAP-Based Nonlinear Extension of Croon and Van Veldhoven’s Model for Analyzing Data from Micro–Macro Multilevel Designs
  10. Against and with the silence: Language, relations, and methods in qualitative research on pregnancy loss and perinatal bereavement
  11. A direct test of the similarity assumption — Focusing on differences as compared with similarities decreases automatic imitation
  12. Pädagogik in Zeiten der Katastrophe – Eine Solidaritätsveranstaltung mit Bildungsakteur:innen in der türkisch-syrischen Grenzregion
  13. Die Entwicklung des Emotionswissens und der behavioralen Selbstregulation bei Vorschulkindern mit und ohne Migrationshintergrund
  14. DaZKom - a Structure Model of Pre-service Teachers' Competency for Teaching German as a Second Language in the Mainstream Classroom
  15. The identification of up-And downstream industries using input-output tables and a firm-level application to minority shareholdings
  16. Molecular analyses and species distribution models indicate cryptic northern mountain refugia for a forestdwelling ground beetle
  17. Untersuchungen zur Entwicklung von Anpassungsstrategien an den Klimawandel für die Überflutungsflächen an der unteren Mittelelbe.
  18. Exploring the potential of using priority effects during ecological restoration to resist biological invasions in the neotropics
  19. Genetic diversity and population structure of the endangered insect species Carabus variolosus in its western distribution range
  20. J.N. Mohanty: Phenomenology. Between Essentialism and Transcendental Philosophy, Evanston, Illinois: Northwestern University Press 1997
  21. Dynamik von Artenvielfalt und Artenzusammensetzung krautiger Gefäßpflanzen in gezäunten und ungezäunten Vergleichsflächenpaaren
  22. Editors’ Conversation with German Art Historians Oona Lochner and Isabel Mehl: Writing Like a Feminist—In Dialogue with Carla Lonzi
  23. Kunst- und Kulturproduktion im Bezugsrahmen von Pierre Bourdieus Theorie und die kultursoziologische Analyse sozialer Bewegungen