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Exposure-Response Modeling
book

Exposure-Response Modeling

by Jixian Wang
July 2015
Intermediate to advanced content levelIntermediate to advanced
351 pages
10h 2m
English
Chapman and Hall/CRC
Content preview from Exposure-Response Modeling
256 Exposure-Response Modeling: Methods and Practical Implementation
For linear models
y
i
= β
0
+ βc
i
+ ε
i
c
i
= θ
0
+ θd
i
+ e
i
, (9.1 4)
some interesting analy tical results can be derived. For the Dose–response re-
lationship, c onditional on d
i
we can write the marginal model as
y
i
= β
0
+ β(θ
0
+ θd
i
) + βe
i
+ ε
i
= β
0
+ β
d
i
+ ε
i
(9.15)
where β
0
β
0
+ βθ
0
, β
= βθ, and ε
i
N (0, β
2
σ
2
e
+ σ
2
ε
). Here the key
parameter for the dose–exposure relationship, and also for dose finding, is β
.
Hence we examine the accuracy of its estimates either based on fitting the
dose–exposure data to model (9.15) or the joint modeling approach fitting
both models in (9.14) as
ˆ
β
ˆ
θ. In this simple ...
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Publisher Resources

ISBN: 9781466573215