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Sample Size in Multilevel Structural Equation Modeling – The Monte Carlo Approach

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  • Sagan Adam

    (Cracow University of Economics, Cracow, Poland)

Abstract

In the process of sample selection, an important issue is the relationship between sample size and the type and complexity of the statistical model, which is the basis for testing research hypotheses. The paper presents methodological aspects of sample size determination in multilevel structural equation modelling (SEM) in the analysis of satisfaction with the banking products in Poland. The multilevel SEM results from the necessity to take into account both the sample size at the level of individual respondents, as well as at the higher level of analysis and the intraclass correlation coefficient. A comparison of factor loading bias based on the Monte Carlo simulation is made for different cluster sizes and the number of clusters.

Suggested Citation

  • Sagan Adam, 2019. "Sample Size in Multilevel Structural Equation Modeling – The Monte Carlo Approach," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 23(4), pages 63-79, December.
    • Handle: RePEc:vrs:eaiada:v:23:y:2019:i:4:p:63-79:n:5
    DOI: 10.15611/eada.2019.4.05
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    References listed on IDEAS

    as
    1. Albert Satorra & Willem Saris, 1985. "Power of the likelihood ratio test in covariance structure analysis," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 83-90, March.
    2. Daniel Stegmueller, 2013. "How Many Countries for Multilevel Modeling? A Comparison of Frequentist and Bayesian Approaches," American Journal of Political Science, John Wiley & Sons, vol. 57(3), pages 748-761, July.
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    More about this item

    Keywords

    sampling; multilevel SEM; Monte Carlo simulations;
    All these keywords.

    JEL classification:

    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods
    • M30 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - General

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