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Estimation of Reliability and Stability in Single-Indicator Multiple-Wave Models

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  • WOLFGANG JAGODZINSKI

    (University of Bremen)

  • STEFFEN M. KÃœHNEL

    (University of Cologne)

Abstract

This article focuses on three main points: (1) Because a short-wave panel study such as the ALLBUS-Retest Study 1984 is suited optimally for reliability estimations, the quality of a larger number of items concerning attitudes about the welfare state and inequality and toward a minority group in West Germany (“guestworkers†) is investigated; (2) we show that most of the items are more reliable in the subgroup with high political interest than in the low-interest group; and (3) because we cannot rely on multiple indicators in most of the cases, methods and statistical models for the analysis of single indicators in multiple-wave panels are discussed. Because we can assume that the latent attitudes are continuous and the observed variables have ordered categories (at least), we confine our analyses to metric variable models. We show that (a) the assumptions underlying the classical models proposed by Heise (1969) and by Wiley and Wiley (1970, 1974) will often be violated if the times between the panel waves are very short; (b) frequently, models of parallel or tau-equivalent measurement, or some modifications of these models lead to parameter estimates that are more plausible from a theoretical point of view; (c) the ML- and ULS-estimators for these models can be easily calculated; (d) the use of polychoric correlation coefficients for these models is more appropriate if the observed variables have a badly skewed distribution and a small number of categories.

Suggested Citation

  • Wolfgang Jagodzinski & Steffen M. Kãœhnel, 1987. "Estimation of Reliability and Stability in Single-Indicator Multiple-Wave Models," Sociological Methods & Research, , vol. 15(3), pages 219-258, February.
    • Handle: RePEc:sae:somere:v:15:y:1987:i:3:p:219-258
    DOI: 10.1177/0049124187015003003
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    References listed on IDEAS

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    1. Converse, Philip E. & Markus, Gregory B., 1979. "Plus ça change…: The New CPS Election Study Panel," American Political Science Review, Cambridge University Press, vol. 73(1), pages 32-49, March.
    2. Ulf Olsson & Fritz Drasgow & Neil Dorans, 1982. "The polyserial correlation coefficient," Psychometrika, Springer;The Psychometric Society, vol. 47(3), pages 337-347, September.
    3. Ulf Olsson, 1979. "Maximum likelihood estimation of the polychoric correlation coefficient," Psychometrika, Springer;The Psychometric Society, vol. 44(4), pages 443-460, December.
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    1. Annouschka Laenen & Ariel Alonso & Geert Molenberghs & Tony Vangeneugden, 2009. "A family of measures to evaluate scale reliability in a longitudinal setting," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(1), pages 237-253, January.

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