Y. Tanigawara et al., PREDICTIVE PERFORMANCE OF THE BAYESIAN-ANALYSIS - EFFECTS OF BLOOD-SAMPLING TIME, POPULATION PARAMETERS, AND PHARMACOSTATISTICAL MODEL, Journal of pharmacokinetics and biopharmaceutics, 22(1), 1994, pp. 59-71
The present paper reports theoretical equations for the predictive per
formance of the Bayesian forecasting method. The precision of paramete
r estimates and predicted concentrations for an individual was describ
ed by general equations with the aid of a variance-covariance matrix o
f parameter estimates that involved the Bayes theorem. The equations w
ere applied to assess the predictive performance of the one-point Baye
sian method in association with blood sampling time, the population pa
rameters, and the pharmacostatistical model. The simulation study show
ed that the prediction error in parameter estimates essentially depend
ed upon the sampling time but the magnitude of dependency was affected
by the size of inter- and intraindividual variances. With a smaller v
alue of interindividual variance, the dependency on sampling time was
less apparent. Effects of sampling time were further examined using cl
inical data obtained from 20 patients taking theophylline, and the res
ults were in good agreement with the theoretical consideration. The pr
esent general equations are useful to investigate the sampling strateg
y as well as structural and variance modeling on the predictive perfor
mance of the Bayesian method.