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. 2001 Jan;45(1):150–157. doi: 10.1128/AAC.45.1.150-157.2001

TABLE 2.

Main steps in population model building for oral dataa

Stepb Model Objective functionc Commentary
1  Monocompartmental CL, V, ka 1,016 ς2 = 7.61
2  Inline graphic linearly related to PNA 666 ς2 = 0.470; PNA influences Inline graphic
3  Inline graphic linearly related to PNA, Inline graphic linearly related to BW 648 ς2 = 0.291; BW influences Inline graphic
5  Inline graphic linearly related to PNA, Inline graphic proportional to BW 650 ς2 = 0.288; Inline graphic is proportional to BW
8  Inline graphic = θ1 · GFR · (BSA/1.73), GFR = (7.2 × PCAθ3)/(θ2θ3 + PCAθ3) 560 ς2 = 0.219; this clearance model is better
10 Inline graphic = θ1 · GFR (BSA/1.73) · (40/SCR) 583 ς2 = 0.202; scatterplots are better than those in step 8
16 Similar to step 10, but with zero-order absorption rate 596 ς2 = 0.554; the fit is worse than that in step 10
17 Bicompartmental model: Inline graphic = θ1 · GFR (BSA/1.73) · (40/SCR) Inline graphic = θ2 · BW Inline graphic = θ3Inline graphic = θ4 · BW Inline graphic = θ5 · BW 577 ς2 = 0.183; not significantly better than the one-compartment model
a

Abbreviations: θ1 to θ6, population parameters to be estimated; ς2, common error variance. To simplify notations, the subscript j on typical parameter values and covariates, the normalization of the covariates with respect to their median, and the ratio with F have been omitted. After step 5, Inline graphic has the same definition in all remaining steps. After step 8, GFR has the same definition in all remaining steps. 

b

Some steps have been omitted for brevity. 

c

Function to be minimized. The critical change is 3.84 for 1 degree of freedom at the 0.05 level.