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Best Design of BE Studies (7) - BEBAC • Consultancy Services for ...

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7/7 | Statistical <strong>Design</strong> and Analysis IIII<br />

Dose Proportionality<br />

in<strong>for</strong>ma<br />

life sciences<br />

Dose proportionality may be evaluated in a twostep<br />

procedure<br />

(Chow and Liu, <strong>Design</strong> and Analysis <strong>of</strong> Bioavailability and Bioequivalence<br />

<strong>Studies</strong>, Marcel Dekker, New York, pp 563–573 (3 rd ed 2009)<br />

Let Y be the response (AUC, C max ) and x the dose<br />

level. Since the standard deviation <strong>of</strong> Y increases<br />

with the dose, the primary assumption <strong>of</strong> dose proportionality<br />

is that the standard deviation <strong>of</strong> Y is proportional<br />

to x; that is,<br />

Var(Y) = x²σ²,<br />

where σ² consists <strong>of</strong> inter- and intrasubject<br />

variabilities.<br />

Bioequivalence and Bioavailability, Pre-conference workshop | Budapest, 11 May 2009 2 • 19

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