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Here is what you are looking for:
Gagnon RC and Peterson JJ: Estimation of confidence intervals for area
under the curve from destructively obtained pk data. J Pharmacokin
Biopharm 1998; 26: 87-102.
Bailer AJ. Testing for the equality of area under the curve when using
destructive measurement techniques. J Pharmacokin Biopharm 1998; 16:
Nedelman J, Gibiansky E. The variance of a better AUC estimator for
sparse,destructive sampling in toxicokinetics. J Pharm Sci 1996; 85:
Pai S et al. Performance of Bailer's method for AUC confidence intervals
from sparse non-normally distributed drug concentrations in
toxicokinetic studies. Pharm Res 1996; 13: 1280-1282.
Nedelman J et al. Applying Bailer's method for AUC confidence intervals
to sparse sampling. Pharm Res 1995; 12: 124-128. There is an errata to
this paper, but I don't know what issue it was in.
Bonate PL. Coverage and precision of confidence intervals for AUC using
parametric and non-parametric methods in a toxicokinetic experimental
design. Pharm Res 1998; 15: 405-410.
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