Zusammenfassung
Das Kapitel gibt einen Überblick über statistische Verfahren der Auswertung kulturvergleichender Studien. Es werden Verfahren der Multigruppenanalyse (für feste Gruppen) und der Mehrebenenanalyse (für zufällig gezogene Gruppen) behandelt. Im Rahmen der Multigruppenanalyse wird gezeigt, wie das allgemeine lineare Modell und Modelle mit latenten Variablen zur Analyse von Unterschieden zwischen Nationen herangezogen werden können. Modelle mit latenten Variablen werden danach unterschieden, ob mit ihnen kontinuierliche oder kategoriale manifeste bzw. latente Variablen modelliert werden. So werden Modelle der konfirmatorischen Faktorenanalyse für kontinuierliche und ordinale beobachtete Variablen sowie Modelle der latenten Klassen- und Profilanalyse behandelt. Die Grundideen dieser Modelle werden beschrieben und es wird erläutert, was in diesen einzelnen Modellklassen unter Messinvarianz verstanden wird und wie diese überprüft werden kann. Abschließend werden Modelle der Mehrebenenanalyse sowohl für manifeste als auch latente Variablen vorgestellt und ihre Anwendbarkeit im Bereich der kulturvergleichenden Forschung diskutiert.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Literatur
Asparouhov, T., & Muthén, B. (2014). Multiple-group factor analysis alignment. Structural Equation Modeling, 21, 1–14.
Bandalos, D. L., & Leite, W. (2013). The use of Monte Carlo studies in structural equation modeling research. In G. R. Hancock & R. O. Mueller (Hrsg.), Structural equation modeling: A second course (2. Aufl., S. 625–666). Greenwich: Information Age Publishing.
Bartholomew, D. J., Knott, M., & Moustaki, I. (2011). Latent variable models and factor analysis (3. Aufl.). London: Arnold.
Bell, B. A., Morgan, G. B., Schoeneberger, J. A., Kromrey, J. D., & Ferron, J. M. (2014). How low can you go? An investigation of the influence of sample size and model complexity on point and interval estimates in two-level linear models. Methodology European Journal of Research Methods for the Behavioral and Social Sciences, 10, 1–11.
Cohen, J., Cohen, P., West, S. G., & Aiken, L. S. (2003). Applied multiple regression/correlation analysis for the behavioral sciences. Mahwah: Erlbaum.
Davidov, E., & Meuleman, B. (2019). Measurement invariance analysis using multiple group confirmatory factor analysis and alignment optimisation. In F. J. R. van de Vijver, F. Avvisati, E. Davidov, M. Eid, J.-P. Fox, N. le Donné, K. Lek, B. Meuleman, M. Paccagnella & R. van de Schoot (Hrsg.), Invariance analysis in large-scale studies (S. 13–20). OECD Education Working Papers No. 201. Paris: OECD.
Eid, M. (1995). Modelle der Messung von Personen in Situationen. Weinheim: PVU.
Eid, M. (2019). Multigroup and multilevel latent class analysis. In F. J. R. van de Vijver, F. Avvisati, E. Davidov, M. Eid, J.-P. Fox, N. le Donné, K. Lek, B. Meuleman, M. Paccagnella & R. van de Schoot (Hrsg.), Invariance analysis in large-scale studies (S. 70–90). OECD Education Working Papers No. 201. Paris: OECD.
Eid, M., & Diener, E. (2001). Norms for experiencing emotions in different cultures: Inter- and intranational differences. Journal of Personality and Social Psychology, 81, 869–885.
Eid, M., Langeheine, R., & Diener, E. (2003). Comparing typological structures across cultures by latent class analysis: A primer. Journal of Cross-Cultural Psychology, 34, 195–210.
Eid, M., Gollwitzer, M., & Schmitt, M. (2017). Statistik und Forschungsmethoden (5., korr. Aufl.). Weinheim: Beltz.
Enders, C. K., & Tofighi, D. (2007). Centering predictor variables in cross-sectional multilevel models: A new look at an old issue. Psychological Methods, 12, 121–138.
Feskens, R., & Hox, J. (2018). Multilevel structural equation modeling for cross-cultural research: Exploring resampling methods to overcome small sample size problems. In E. Davidov, P. Schmidt & J. Billiet (Hrsg.), Cross-cultural analysis. Methods and applications (2. Aufl., S. 347–362). New York: Routledge.
Fontaine, J. R. J. (2008). Traditional and multilevel approaches in cross-cultural research: An integration of methodological frameworks. In F. J. R. van de Vijver, D. A. van Hemert & Y. H. Poortinga (Hrsg.), Multilevel analysis of individuals and cultures (S. 65–92). New York: Erlbaum.
Fox, J.-P. (2019). Cross-cultural comparability in questionnaire scales: Bayesian marginal measurement invariance testing. In F. J. R. van de Vijver, F. Avvisati, E. Davidov, M. Eid, J.-P. Fox, N. le Donné, K. Lek, B. Meuleman, M. Paccagnella & R. van de Schoot (Hrsg.), Invariance analysis in large-scale studies (S. 36–69). OECD Education Working Papers No. 201. Paris: OECD.
Hancock, G. R., & French, B. F. (2013). Power analysis in covariance structure models. In G. R. Hancock & R. O. Mueller (Hrsg.), Structural equation modeling: A second course (2. Aufl., S. 117–159). Greenwood: Information Age Publishing.
Hox, J. J., & Maas, C. J. M. (2001). The accuracy of multilevel structural equation modeling with pseudobalanced groups and small samples. Structural Equation Modeling, 8, 157–174.
Janssen, R. (2018). Using a differential item functioning approach to investigate measurement invariance. In E. Davidov, P. Schmidt & J. Billiet (Hrsg.), Cross-cultural analysis. Methods and applications (S. 415–432). New York: Routledge.
Kankaras, M., Moors, G., & Vermunt, J. K. (2018). Testing for measurement invariance with latent class analysis. In E. Davidov, P. Schmidt & J. Billiet (Hrsg.), Cross-cultural analysis. Methods and applications (S. 393–419). New York: Routledge.
Lek, K., & van de Schoot, S. (2019). Bayesian approximate measurement invariance. In F. J. R. van de Vijver, F. Avvisati, E. Davidov, M. Eid, J.-P. Fox, N. le Donné, K. Lek, B. Meuleman, M. Paccagnella & R. van de Schoot (Hrsg.), Invariance analysis in large-scale studies (S. 21–35). OECD Education Working Papers No. 201. Paris: OECD.
Maas, C. J. M., & Hox, J. J. (2003). The influence of violations of assumptions on multilevel parameter estimates and their standard errors. Computational Statistics & Data Analysis, 46, 427–440.
Maas, C. J. M., & Hox, J. J. (2004). Robustness issues in multilevel regression analysis. Statistica Neerlandica, 58, 127–137.
Maas, C. J. M., & Hox, J. J. (2005). Sufficient sample sizes for multilevel modeling. Methodology, 1, 86–92.
Matsunaga, M., & Imahori, T. T. (2009). Profiling family communication standards: A U.S.-Japan comparison. Communication Research, 36, 3–31.
McNeish, D. M., & Stapleton, L. M. (2016). The effectof small sample size on two-level model estimates: A review and illustration. Educational Psychology Review, 28, 295–314.
Meuleman, B., & Billiet, J. (2009). A Monte Carlo sample size study: How many countries are needed for accurate multilevel SEM? Survey Research Methodology, 3, 45–58.
Millsap, R. E., & Meredith, W. (2007). Factorial invariance: Historical perspectives and new problems. In R. Cudeck & R. MacCallum (Hrsg.), Factor analysis at 100: Historical developments and future directions (S. 130–152). Mahwah: Lawrence Erlbaum Associates.
Millsap, R. E., & Tein, J.-Y. (2004). Assessing factorial invariance in ordered-categorical measures. Multivariate Behavioral Research, 39, 479–515.
Morin, A. J. S., Meyer, J. P., Creusier, J., & Biétry, F. (2016). Multiple-group analysis of similarity in latent profile solutions. Organizational Research Methods, 19, 231–254.
Muthén, B. (1983). Latent variable structural equation moderling with categorical data. Journal of Econometrics, 22, 48–65.
Muthén, B. (1994). Multilevel covariance structure analysis. Sociological Methods & Research, 22, 376–398.
Muthén, B., & Asparouhov, T. (2014). IRT studies of many groups: The alignment method. Frontiers in Psychology, 5, 978.
Muthén, L. K., & Muthén, B. O. (2002). How to use a Monte Carlo study to decide on sample size and determine power. Structural Equation Modeling, 4, 599–620.
Olivera-Aguilar, M., & Rikoon, S. H. (2018). Assessing measurement invariance in multiple-group latent profile analysis. Structural Equation Modeling, 25, 439–452.
Rost, J. (2004). Lehrbuch Testtheorie – Testkonstruktion (2., vollst. überarb. Aufl.). Bern: Huber.
Samejima, F. (1969). Estimation of ability using a response pattern of graded scores. Psychometrika, Monograph Supplement No. 17.
Selig, J. P., Card, N. A., & Little, T. (2008). Latent variable structural equation modeling in cross-cultural research: Multigroup and multilevel approaches. In F. J. R. van de Vijver, D. A. van Hemert & Y. H. Poortinga (Hrsg.), Multilevel analysis of individuals and cultures (S. 93–119). New York: Erlbaum.
Takane, Y., & De Leeuw, J. (1987). On the relationship between item response theory and factor analysis of discretized variables. Psychometrika, 52, 393–408.
Van de Vijver, F. J. R., van Hemert, D. A., & Poortinga, Y. H. (Hrsg.). (2008). Multilevel analysis of individuals and cultures. New York: Erlbaum.
Vermunt, J. (2003). Multilevel latent class models. Sociological Methodology, 33, 213–239.
Widaman, K. F., & Reise, S. P. (1997). Exploring the measurement invariance of psychological instruments: Applications in the substance use domain. In K. J. Bryant, M. Windle & S. G. West (Hrsg.), The science of prevention: Methodological advances from alcohol and substance abuse research (S. 281–324). Washington, DC: American Psychological Association.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Fachmedien Wiesbaden GmbH, ein Teil von Springer Nature
About this chapter
Cite this chapter
Eid, M., Lischetzke, T. (2021). Statistische Methoden der Auswertung kulturvergleichender Studien. In: Ringeisen, T., Genkova, P., Leong, F.T.L. (eds) Handbuch Stress und Kultur. Springer, Wiesbaden. https://doi.org/10.1007/978-3-658-27789-5_14
Download citation
DOI: https://doi.org/10.1007/978-3-658-27789-5_14
Published:
Publisher Name: Springer, Wiesbaden
Print ISBN: 978-3-658-27788-8
Online ISBN: 978-3-658-27789-5
eBook Packages: Psychology (German Language)