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1704

Pacquette & Thompson:

J

ournal of

AOAC I

nternational

V

ol.

98, N

o.

6, 2015

factor with which to work. The Study Director allowed this small

variation to the method as it will certainly not affect the validity

of results if the correct dilution factor is used.

Participants were reminded more than once that the written

(now official) method mandates the use of several QC/system

suitability solutions including a blank check (must be less

than the PLOQ), a calibration verification standard (must be

within 4% of its nominal concentration before and after samples

are run), and a control sample (the concurrent analysis of SRM

1849a). The criterion for results was not explicitly stated because

these laboratories do not have working control charts for such;

however, the SRMexpected results were known from the prework

phase, and the laboratories could see the SRM results concurrent

with their samples. No laboratories indicated they discarded any

data because of these QC solutions failing.

A final key suitability requirement was the analysis of

duplicates that had to agree within 10% for Cr, 7% for Se,

and 5% for Mo. These duplicates are not to be confused with

the blinded duplicates supplied in the collaborative study. The

duplicate requirement is present not so much to improve the

confidence interval by using the mean of two results (although that

can be useful for concentrations near the PLOQ), but rather to

indicate the presence of substantial indeterminate errors before

the data are allowed to enter the pool of multilaboratory data. A

10% agreement between duplicates is a common, if somewhat

arbitrary, criterion used in many GB (China) official methods, and

others. In this case, the SLV and MLT data indicate that a 10%

criterion is well above the excellent repeatability or intermediate

precision expected of this method (

see

SLV data later in this

report), but this level is maintained for Cr because small levels

of Cr contamination were sometimes unavoidable and usually

irrelevant to results since most adult products had relatively high

levels of Cr (infant formulas are not fortified with Cr or Mo).

With the inclusion of the other QC tests in this method, especially

the use of the control sample, the possibilities of other sources of

indeterminate errors are small [e.g., pipetting the wrong amount

of internal standard (IS) or a poorly made set of standards], and

so Se and Mo have duplicate RSD requirements closer to 3×

the typical short term precision of about 1.5–2.0%. Indeed, the

expected duplicate precision for Se was originally set at 5% RSD

for this method, which was optimal for the authors’ laboratories,

but analysis of these MLT data indicated too many rejections at

that level, and so a 7% RSD requirement is now set for Se. The

requirement for Mo is still 5% duplicate precision. Table 2 shows

the number of failures in analyzing the 14 MLT samples using the

original criteria (i.e., 5% RSD duplicate precision for Se). There

are an inordinate number of failures (4/14 or almost 30%) for

Laboratory 1 Cr results; this is the laboratory whose data were

later entirely rejected from the study. However, it appears that

only Laboratory 1 had this problem with Cr determination. In

contrast, five laboratories had more than one sample rejected

for Se when the duplicate RSD criterion were set to 5%. If the

duplicate precision criterion was set to 7% RSD, only eight total

failures occurred instead of the 19 shown in Table 2, out of a

total of nine laboratories × 15 samples = 135 determinations,

or about a 6% rejection rate. This may be higher than the

<1% rejection rate for Mo because Se concentrations are

routinely low, about 2–3x above the PLOQ in all the samples

tested. Also, the laboratory that had the most Se data rejected,

Laboratory 9, was also the one that had a compromised PLOQ

as shown in Table 1. This underscores the importance of having

optimal sensitivity for Se analyses in infant/pediatric formulas.

Generally, we have observed that ICP/MS units that are not fitted

with hydrogen gas for collisional reaction/reduction of argon

interference cannot readily obtain the 0.2 ppb PLOQ in solution.

As can be seen, setting a single criterion for duplicate precision

to cover all concentration levels encountered and for all matrixes

is difficult, but this does not mean it should not be done. This is

perhaps the best way to avoid out-of-specification results due to

systematic errors and rejecting the data before any unnecessary

retesting or regulatory action begins, and this kind of suitability

criterion should be strongly considered for any dispute resolution

method, even chromatography-based methods in which it may

take much more time to get the duplicate result.

Upon completion of the sample analyses, participating

laboratories were asked to send all of their data to the Study

Director. An Excel spreadsheet was supplied by the Director, with

a template for adding the sample weights, duplicate results, and

spaces for all the calibration and QC results. Participants were

also asked to report any deviations to the method and any relevant

comments based on their experiences with the method.

All data were statistically analyzed in a spreadsheet (5) using

AOAC INTERNATIONAL guidelines to determine overall

mean, repeatability SD (s

r

), RSD

r

, reproducibility SD (s

R

),

RSD

R

, and Horwitz ratio (HorRat). Cochran’s (

P

= 0.025,

one-tail) and Grubbs’ (single and double,

P

= 0.025, two-tail)

tests were used to determine statistical outliers.

SPIFAN SMPRs for repeatability were ≤5% RSD and

requirements for reproducibility were ≤15% RSD in products

above a concentration of 10 ng/g Se and 20 ng/g Cr/Mo on an

RTF basis.

Method

The Final Action method, as now published (6) and given

below, is the updated version the participants used for this study.

In particular, Ge was substituted as the IS for Ni, Cr, and Mo,

and there is an option to analyze more elements concurrently. The

QC/system suitability was more explicitly stated, and the revised

7% duplicate criterion for Se added.

Table 2. MLT duplicate samples failing to meet the original

duplicate precision criterion of 10% RSD for Cr and 5% RSD

for Se and Mo

Lab

No. Cr failures No. Mo failures No. Se failures

a

1

4

0

1 (0)

2

0

0

0

3

0

0

3 (1)

4

1

0

2 (0)

5

1

1

4 (2)

6

7

8

0

0

0

9

0

0

5 (4)

10

1

0

4 (1)

11

0

0

0

a

 Failures under 7% RSD criterion shown for Se in parenthesis.

159