RE: 95% CI of parameter estimate

From: "HUTMACHER, MATTHEW" <MATTHEW.HUTMACHER@chi.monsanto.com> Subject: RE: 95% CI of parameter estimate Date: Mon, 20 Nov 2000 11:04:31 -0600 Perhaps, I could have been more explicit. I meant two things by "knowledge". Information about the data (and hence the modeled population) is revealed through the process of verifying the probabilistic mechanism by which the data were generated (checking the assumptions used in the parametric bootstrap). Secondly, I believe the parametric bootstrap will be more efficient; i.e., the parametric bootstrap will result in tighter CI's compared to those of the non-parametric bootstrap. I have not verified this statement in population PK work, but heuristically, parametric methods gain efficiency through assumptions about the distributional form of the data. These assumptions can be exploited to yield more powerful hypothesis tests, estimators with smaller variances, or in this case, tighter confidence intervals. Matt