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© 2013 AOAC INTERNATIONAL
AOAC O
FFICIAL
M
ETHODS
OF
A
NALYSIS
(2013)
G
UIDELINES
FOR
D
IETARY
S
UPPLEMENTS
AND
B
OTANICALS
Appendix K, p. 15
cancel out. (The Youden ruggedness trial or fractional factorial
experiment was designed for this outcome.) Similarly,
Effect of B and b
[(x1 + x2 + x5 + x6)/4] – [(x3 + x4 + x7 + x8)/4] = K
4B/4 – 4b/4 = K
Effect of C and c
[(x1 + x3 + x5 + x7)/4] – [(x2 + x4 + x6 + x8)/4] = L
4C/4 – 4c/4 = L
Effect of D and d
[(x1 + x2 + x7 + x8)/4] – [(x3 + x4 + x5 + x6)/4] = M
4D/4 – 4d/4 = M
Effect of E and e
[(x1 + x3 + x6 + x8)/4] – [(x2 + x4 + x5 + x7)/4] = N
4E/4 – 4e/4 = N
Effect of F and f
[(x1 + x4 + x5 + x8)/4] – [(x2 + x3 + x6 + x7)/4] = O
4F/4 – 4f/4 = O
Effect of G and g
[(x1 + x4 + x6 + x7)/4] – [(x2 + x3 + x5 + x8)/4] = P
4G/4 – 4g/4 = P
Perform the eight determinations or runs carefully using the
assigned factor level combinations and tabulate the values found.
Then unscramble the 7 factors and obtain the effect of the assigned
factor as the last number. It is important to use the combination of
subscripts as assigned for proper interpretation.
Expt. Found, %
Factors
x1
1.03
J (A) = 4A/4 – 4a/4 = 4.86 – 5.14 = –0.28
x2
1.32
K (B) = 4B/4 – 4b/4 = 4.79 – 5.21 = –0.42
x3
1.29
L (C) = 4C/4 – 4c/4 = 4.86 – 5.14 = –0.28
x4
1.22
M (D) = 4D/4 – 4d/4 = 5.05 – 4.95 = +0.10
x5
1.27
N (E) = 4E/4 – 4e/4 = 4.92 – 5.08 = –0.16
x6
1.17
O (F) = 4F/4 – 4f/4 = 4.95 – 5.05 = –0.10
x7
1.27
P (G) = 4G/4 – 4g/4 = 4.69 – 5.31 = –0.62
x8
1.43
These values are plotted on a line. In this case they are more
or less uniformly scattered along the line, but some attention
should be paid to the extremes. Factor D, the highest positive
value represents a difference in solvent, as expected, and this
factor has to be investigated further to determine if the high
values represents impurities or additional active ingredient. The
extreme value of factor G suggests that the extraction should be
conducted in the dark. As discussed by Youden, considerably more
information can be obtained by utilizing several different materials
and several independent replications in different laboratories, so
as to obtain an estimate of the standard deviation to be expected
between laboratories. Although the ruggedness trial is primarily a
method development technique, validation of the application of a
method to different matrices and related analytes can be explored
simultaneously by this procedure.
Comments not used (may be added later):
3.3 Calibration: Run standards from low to high to compensate
for any carryover. [Run in random order to compensate for drift
is more important than allowing for carryover which should not
occur.]
Independently made standards results in considerable random
error in the calibration curve and is in fact the major source of
random error in spectrophotometry. [Therefore a common stock
solution is the preferred way of preparing the individual standards.]
Version 54 contains revisions as a result of comments from
levanseler@nsf.organd McClure. Outline:
I. Types and benefits of each method validation study without
reproducibility
II. Preparing for a Single-Laboratory Method Validation Study
III. Review of Performance Characteristics of a Method
IV. Errors
V. Calibration and Types
VI. Bias and Precision Estimations (no reference standard; no
reproducibility)
VII. Detection and Quantification Limits
VIII. Ruggedness