R. Mick et Mj. Ratain, STATISTICAL APPROACHES TO PHARMACODYNAMIC MODELING - MOTIVATIONS, METHODS, AND MISPERCEPTIONS, Cancer chemotherapy and pharmacology, 33(1), 1993, pp. 1-9
We have attempted to outline the fundamental statistical aspects of ph
armacodynamic modeling. Unexpected yet substantial variability in effe
ct in a group of similarly treated patients is the key motivation for
pharmacodynamic investigations. Pharmacokinetic and/or pharmacodynamic
factors may influence this variability. Residual variability in effec
t that persists after accounting for drug exposure indicates that furt
her statistical modeling with pharmacodynamic factors is warranted. Fa
ctors that significantly predict interpatient variability in effect ma
y then be employed to individualize the drug dose. In this paper we ha
ve emphasized the need to understand the properties of the effect meas
ure and explanatory variables in terms of scale, distribution, and sta
tistical relationship. The assumptions that underlie many types of sta
tistical models have been discussed. The role of residual analysis has
been stressed as a useful method to verify assumptions. We have descr
ibed transformations and alternative regression methods that are emplo
yed when these assumptions are found to be in violation. Sequential se
lection procedures for the construction of multivariate models have be
en presented. The importance of assessing model performance has been u
nderscored, most notably in terms of bias and precision. In summary, p
harmacodynamic analyses are now commonly performed and reported in the
oncologic literature. The content and format of these analyses has be
en variable. The goals of such analyses are to identify and describe p
harmacodynamic relationships and, in many cases, to propose a statisti
cal model. However, the appropriateness and performance of the propose
d model are often difficult to judge. Table 1 displays suggestions (in
a checklist format) for structuring the presentation of pharmacodynam
ic analyses, which reflect the topics reviewed in this paper.