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Consequences of measurement error for inference in cross-lagged panel design : the example of the reciprocal causal relationship between subjective health and socio-economic status
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1467-985X; 0964-1998
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Journal of the royal statistical society. Series A (Statistics in society), 2016, Vol. 179, No. 2, pp. 607–628
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KRÖGER, Hannes, HOFFMANN, Rasmus, PAKPAHAN, Eduwin, Consequences of measurement error for inference in cross-lagged panel design : the example of the reciprocal causal relationship between subjective health and socio-economic status, Journal of the royal statistical society. Series A (Statistics in society), 2016, Vol. 179, No. 2, pp. 607–628 - https://hdl.handle.net/1814/38413
Abstract
We discuss the problem of random measurement error in two variables when using a cross-lagged panel design. We apply the problem to the question of the causal direction between socio-economic status and subjective health, known also as health selection versus social causation. We plot the bias of the ratio between the social causation and the health selection coefficient as a function of the degree of measurement error in subjective health and socio-economic status for different scenarios which might occur in practice. Using simulated data we give an example of a Bayesian model for the treatment of measurement error that relies on external information about the degree of measurement error.
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First published online 15 September 2015.
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