Bayesian model selection of informative hypotheses for repeated measurements

Mulder, J.Department of Methodology and Statistics, Utrecht University, The Netherlands (författare)

Funding Agency:Netherlands Organization for Scientific Research (NWO)
When analyzing repeated measurements data, researchers often have expectations about the relations between the measurement means. The expectations can often be formalized using equality and inequality constraints between (i) the measurement means over time, (ii) the measurement means between groups, (iii) the means adjusted for time-invariant covariates, and (iv) the means adjusted for time-varying covariates. The result is a set of informative hypotheses. In this paper, the Bayes factor is used to determine which hypothesis receives most support from the data. A pivotal element in the Bayesian framework is the specification of the prior. To avoid subjective prior specification, training data in combination with restrictions on the measurement means are used to obtain so-called constrained posterior priors. A simulation study and an empirical example from developmental psychology show that this prior results in Bayes factors with desirable properties.

Klugkist, L.Department of Methodology and Statistics, Utrecht University, The Netherlands (författare)
van de Schoot, RensDepartment of Methodology and Statistics, Utrecht University, The Netherlands (författare)
Meeus, Wim H. J.Research Centre Adolescent Development, Utrecht University, The Netherlands (författare)
Selfhout, Maarten,1981-Research Centre Adolescent Development, Utrecht University, The Netherlands,Center for Developmental research(Swepub:oru)mnst (författare)
Meeus, Wim (författare)
Hoijtink, H.Department of Methodology and Statistics, Utrecht University, The Netherlands (författare)
Department of Methodology and Statistics, Utrecht University, The NetherlandsResearch Centre Adolescent Development, Utrecht University, The Netherlands (creator_code:org_t)

Ingår i:Journal of mathematical psychology (Print): Elsevier53:6, s. 530-5460022-24961096-0880

Av författaren/redakt...: Mulder, J.; Klugkist, L.; van de Schoot, R ...; Meeus, Wim H. J.; Selfhout, Maarte ...; Meeus, Wim; visa fler...; Hoijtink, H.; visa färre...

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