Biomedical Engineering Reference
In-Depth Information
Table 8.5 (continued)
95% Prediction
Interval
Precision/
Total
Variability
(%)
CI
Stage
d50(µm)
average
MMAD
(µm)
Lower
limit
Upper
limit
Discrimination
index(mm-1)
Product
Metric
w9k001
Ratio
3.3
3.54
3.504
3.575
13.96
14.8
Group 1
2.880
4.200
0.76
272.8
Group 2
3.339
3.741
2.48
83.3
Group 3
0.974
6.105
0.19
1060.7
Group 4
3.329
3.751
2.36
87.4
w9kw01
Ratio
3.3
2.86
2.807
2.910
7.43
19.6
Group 1
2.091
3.630
0.65
292.1
Group 2
2.654
3.066
2.42
78.4
Group 3
1.753
3.967
0.45
420.3
Group 4
2.718
3.001
3.53
53.7
Discrimination Index
Color Code
Range
>10
>5
>1
<1
An alternative approach commonly used in MSA is to consider the levels of
discrimination possible with a particular measurement within a critical range, typi-
cally the specification requirements. In the present case, MMAD did not have spe-
cific requirements, but a reasonable range can be assumed and applied to all metrics
(i.e., EDA and grouped stages), leading to a valid relative comparison of perfor-
mance. A range of 1 μm aerodynamic diameter was assumed, and figures of merit
were computed as 1.0 μm divided by the width of the transposed 95% prediction
interval at the mean value of MMAD from the inverse regression approach above.
The resulting values are tabulated in Table 8.5 . The discrimination index was much
higher for the ratio metric, LPM / SPM , compared to the grouped stages, again show-
ing the ability of the ratio metric to detect smaller shifts or changes of the MMAD ,
compared to grouped stages.
The precision to total variability figure of merit was also examined through a
graphical representation. In Fig. 8.12 , 95% prediction intervals for these metrics
were compared to intervals constructed to encompass the total variability for each
 
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