Modelling the Impact of Personality on Individual Performance Behavior with a Time-Varying Mixture of Monotonic Random Effects
34 Pages Posted: 26 Nov 2011
Date Written: November 24, 2011
Abstract
A method is presented for flexibly modelling longitudinal data that provides insight to a central question in psychology theory: the dependency between personality clas- sification and individual performance behavior. Flexibility is achieved by assuming the regression coefficients of random effects models are generated from a time-varying mixture of an unknown but finite number of processes, where the weights attached to the number of processes are parameterised to depend upon an individual’s personality classification. For a given number of mixture components the component processes are constrained distributions and the weights attached to them depend upon time. The method is made robust to outliers and we demonstrate this is an important addition when making inference at the individual level. The frequentist properties of the ap- proach are examined via simulation. The results support the hypothesis in psychology that individuals who believe abilities are inherited traits are much more likely to exhibit sustained periods of failing performance than other individuals.
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