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Varying levels of anomie in Europe: a multilevel analysis based on multidimensional IRT models

Author

Listed:
  • Lara Fontanella

    (University of Chieti-Pescara)

  • Annalina Sarra

    (University of Chieti-Pescara)

  • Pasquale Valentini

    (University of Chieti-Pescara)

  • Simone Zio

    (University of Chieti-Pescara)

  • Sara Fontanella

    (Imperial College London)

Abstract

Recent years have seen increased attention paid to monitoring social anomie and its dependency on micro- and macro-factors. In this paper, we endorse the theorisation of social anomie as a complex, multidimensional and multilevel phenomenon. To ensure a rigorous measurement of the varying levels of social anomie in the European countries, the current study relies on a multilevel multidimensional item response theory model which explicitly accounts for the presence of a non-ignorable missing data mechanism. This unified approach makes it possible to specify an analytical model of links between anomie features and their determinants and to explore how the latent traits of interest are influenced by individual-level factors, as well as by country-level indicators. Additionally, to avoid misleading inferential conclusions, the proposed model takes into account the respondent’s omitting behaviour, assuming that the missingness mechanism is driven by a latent propensity to respond. Data used in this study have been collected in the 2010 wave of the European Social Survey. To reduce the computational complexities, a Bayesian specification of the MIRT model is provided and the parameter model estimates are obtained through MCMC algorithms.

Suggested Citation

  • Lara Fontanella & Annalina Sarra & Pasquale Valentini & Simone Zio & Sara Fontanella, 2018. "Varying levels of anomie in Europe: a multilevel analysis based on multidimensional IRT models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(4), pages 589-610, October.
    • Handle: RePEc:spr:alstar:v:102:y:2018:i:4:d:10.1007_s10182-018-0320-0
    DOI: 10.1007/s10182-018-0320-0
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    References listed on IDEAS

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    1. Martijn Jong & Jan-Benedict Steenkamp, 2010. "Finite Mixture Multilevel Multidimensional Ordinal IRT Models for Large Scale Cross-Cultural Research," Psychometrika, Springer;The Psychometric Society, vol. 75(1), pages 3-32, March.
    2. R. Klein Entink & J.-P. Fox & W. Linden, 2009. "A Multivariate Multilevel Approach to the Modeling of Accuracy and Speed of Test Takers," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 21-48, March.
    3. A. Béguin & C. Glas, 2001. "MCMC estimation and some model-fit analysis of multidimensional IRT models," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 541-561, December.
    4. Chalmers, R. Philip, 2012. "mirt: A Multidimensional Item Response Theory Package for the R Environment," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i06).
    5. Martijn G. De Jong & Jan-Benedict E. M. Steenkamp & Jean-Paul Fox, 2007. "Relaxing Measurement Invariance in Cross-National Consumer Research Using a Hierarchical IRT Model," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 34(2), pages 260-278, June.
    6. David Andrich, 1995. "Models for measurement, precision, and the nondichotomization of graded responses," Psychometrika, Springer;The Psychometric Society, vol. 60(1), pages 7-26, March.
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