Biomedical Engineering Reference
In-Depth Information
Fig. 8.52
OIP product
w9k001
: OC curve (
dashed green line
) and results for stage group 4;
black
symbols
are correct decisions;
blue symbols
are false rejections (type I errors). Outcomes and the
OC curve are based on the combined results of all three groups. The OC curve for
LPM
/
SPM
ratio
is superimposed for comparison
decisions. The
LPM
/
SPM
ratio exhibits a broad flat curve with relatively steep sides
compared to the grouped-stage OCC, which never attains 100% probability of
passing even in the center of the acceptance region. The false rejection outcomes
represented by the blue plot symbols occur consistently further away from the
boundaries of the acceptance region, and even through the middle of the region for
the grouped-stage approach than for the
LPM
/
SPM
ratio approach.
Another way of comparing the patterns of outcomes between the two approaches
is presented in Fig.
8.53
. All nine possible pairs of outcomes for the two approaches,
“G” for grouped stages and “R” for
LPM
/
SPM
, are plotted versus
MMAD
. Correct
decisions are represented by “0,” type I errors by “1” and type II errors by “2.”
In this case both approaches indicated the correct decision 52% of the time as shown
by the “G0/R0” category. This occurred in middle of the
MMAD
acceptance region
and also just outside the range and beyond. Both approaches indicated false
rejection (type I errors, represented by “G1/R1”) approximately 21% of the time,
which occurred just inside the limits of the acceptance region. However, approxi-
mately 27% of the time, the grouped-stage approach indicated false rejection (type
I errors) well inside the acceptance region, while
LPM
/
SPM
ratio indicated the
correct decision (represented by “G1/R0”). Increased occurrence of false rejection
away from the acceptance limits indicates less discrimination of the grouped-stage
approach to correctly predict
MMAD
.
This difference in discrimination capability is illustrated in Figs.
8.54
and
8.55
,
which show the relative size of the uncertainty of the estimate of
MMAD
compared
to the range of acceptable values for stage group 2 and
LPM
/
SPM,
respectively.
A smaller amount of estimate uncertainty relative to
MMAD
acceptance limits indi-
cates a higher capability to detect differences in
MMAD
within the acceptance region.
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