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Mokken scale analysis for polychotomous items: theory, a computer program and an empirical application

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Abstract

This paper contains three subjects. First, an extension of Mokken's nonparametric item response models from dichotomous items to items with two or more ordered answer categories is proposed. Second, a computer program to analyze multicategory item scores is presented. This program is called MSP. The analyses by means of MSP are based on the multicategory extension of Mokken's theory. Finally, an application of MSP to empirical multicategory test data is presented in order to illuminate its possibilities.

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References

  • Debets, P. & Brouwer, E. (1989). MSP: a program for Mokken Scale analysis for Polychotomous items. Groningen: iec ProGAMMA.

    Google Scholar 

  • Gillespie, M., TenVergert, E.M. & Kingma, J. (1987). “Using Mokken scale analysis to develop unidimensional scales”, Quality & Quantity 21: 393–408.

    Google Scholar 

  • Grayson, D.A. (1988). “Two-group classification in latent trait theory: scores with monotone likelihood ratio”, Psychometrika 53: 383–392.

    Google Scholar 

  • Henning, H.J. & Six, B. (1977). “Konstruktion einer Machiavellismus-Skala”, Zeitschrift für Sozial Psychologie 8: 185–198.

    Google Scholar 

  • Kingma, J. & Reuvekamp, J. (1986a). “Mokken Scale: a pascal program for nonparametric stochastic scaling”, Educational and Psychological Measurement 46: 667–677.

    Google Scholar 

  • Kingma, J. & Reuvekamp, J. (1986b). “Mokken test for the robustness of nonparametric stochastic Mokken scales”, Educational and Psychological Measurement 46: 679–685.

    Google Scholar 

  • Middel, B.P. & Schuur, W.H.van (1981). “Dutch Party Delegates”, Acta Politica 16: 241–263.

    Google Scholar 

  • Mokken, R.J. (1971). A Theory and Procedure of Scale Analysis. The Hague: Mouton.

    Google Scholar 

  • Mokken, R.J. & Lewis, C. (1982). ”A nonparametric approach to the analysis of dichotomous item responses”, Applied Psychological Measurement 6: 417–430.

    Google Scholar 

  • Mokken, R.J., Lewis, C. & Sijtsma, K. (1986). Rejoinder to “The Mokken Scale: A critical discussion”, Applied Psychological Measurement 10: 279–285.

    Google Scholar 

  • Molenaar, I.W. (1982). “Mokken Scaling Revisited”, Kwantitatieve Methoden 3 no 8: 145–164.

    Google Scholar 

  • Molenaar, I.W. (1986). “Een vingeroefening in item response theorie voor drie geordende antwoordcategorieën”, pp. 39–57 in G.F., Pikkemaat & J.J.A., Moors (eds), Liber Amicorum Jaap Muilwijk. Groningen: Econometrisch Instituut.

    Google Scholar 

  • Molenaar, I.W. & Sijtsma, K. (1988). “Mokken's approach to reliability estimation extended to multicategory items”, Kwantitatieve Methoden 9, no. 28: 115–126.

    Google Scholar 

  • Niemöller, B. (1980). Mokken Scale. STAP user's manual, vol. 4, part 2. Amsterdam: Technisch Centrum FSW, University of Amsterdam.

    Google Scholar 

  • Niemöller, B. & Van, Schuur, W.H. (1980). Mokken Test. STAP user's manual, vol. 4, part 3. Amsterdam: Technisch Centrum FSW, University of Amsterdam.

    Google Scholar 

  • Niemöller, B. & VanSchuur, W.H. (1983). “Stochastic Models for Unidimensional Scaling: Mokken and Rasch”, pp. 120–170 in D., McKay, N., Schofield & P., Whiteley (eds), Data Analysis and the Social Sciences. London: Francis Pinter Ltd.

    Google Scholar 

  • Sijtsma, K. (1988a). “Reliability estimation in Mokken's nonparametric item response model”, pp. 159–174 in W.E., Saris & I.N., Gallhofer (eds), Sociometric Research, Vol. 1: Data Collection and Scaling London: MacMillan Press Ltd.

    Google Scholar 

  • Sijtsma, K. (1988b). Contributions to Mokken's Nonparametric Item Response Theory. Amsterdam: Free University Press.

    Google Scholar 

  • Sijtsma, K. & Molenaar, I.W. (1987). “Reliability of test scores in nonparametric item response theory”, Psychometrika 52: 79–97.

    Google Scholar 

  • Stokman, F.N. & VanSchuur, W. (1980). “Basic Scaling”, Quality & Quantity 14: 5–30.

    Google Scholar 

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Sijtsma, K., Debets, P. & Molenaar, I.W. Mokken scale analysis for polychotomous items: theory, a computer program and an empirical application. Qual Quant 24, 173–188 (1990). https://doi.org/10.1007/BF00209550

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