W S R
C-MS-95-0027Cost Effective Mass Standards Calibration Intervals
(U)
by
A.
H.
ShullWestinghouse Savannah River Company Savannah River Site
Aiken, South Carolina 29808 J. P. Clark
A document prepared for INSTITUTE OF NUCLEAR MATERIALS MANAGEMENT36TH ANNUAL MEETING at Palm Desert from 07/09/95
-
07/12/95.DOE Contract No. DE-AC09-89SRi 5035
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COST EFFECTIVE MASS STANDARD CALIBRATION INTERVALS
*
A. Harper Shull & John P.
C M
Analytical LaboratoriesWestinghouse Savannah River Company Aiken, SC 29802 USA
803/9 52-3970
Abstract
National Institute of Standards and Technology (NIST) traceable standard weights serve as the foundation of mass measurement control programs. These standards are normally recalibrated annually at a cost of approximately $1 00 per weight. The Savannah River Site
(SRS)
has more than 4,000 standard weights. Most have recalibration intervals of 1 year. The cost effectiveness of the current practice was questioned. Are these mass standards being calibrated too often, and are all of thesestandards needed for calibration and QC
activities? Statistical analyses of data from the
calibration histories were performed on a random sample of eight weight sets. The analyses indicated no time effects or significant trends in the weight masses for periods of from 5 to 8 years. In other words, calibration
checks were being performed too frequently. In addition, current electronic balance technology does not require a traditional set of standard weights that cover the entire weighing range of a balance. At the
most,
only 2 or 3 standards are needed for most weighing systems. Hence, by increasing weight set recalibrationfrequencies from 1 t o 3 years, and
by
reducing the number standards calibrated by 80%, annual cost savings of over $400,000 are attainable atSRS.
Details of the data analysis, technological advances, and cost savings are included in the paper.*
The information contained in this article was developed during work under ContractNo.
DE-
AC09-89SR18035 with the U. S. Department of Energy.Table 1: WEIGHT SET: WL-1017
Nominal Wt (gms) Jrm-88 Ap-89 oct-90 oct-91 NOV-92 Des93
100 100.001200 100.000760 100.001117 100.000880 100.ooo%4 100.000757 50 50.000230 50.000460 50.000552 50.000570 50.000498 50.OOO460 1-20 20.oooO70 19.999930 20.oooO11 19.999880 20.000001 19.999940 ' 2-20 20.000170 20.oooO50 20.oooO28 20.000000 20.000045 20.000006 10 10.000192 ' 10.000210 10.000207 10.O00140 10.000171 10.000183 5 4.999993 5.000560 5.000476 5.000520 5.000469 5.000473
1-2 2.oooO39 2.oooO33 2 . q 2 7 2.oooO10 2.000022 2.oooO18
2-2 2oooO66 2.oooO32 2.000029 2.oooO11 2.000024 2.oooO19
1 1.oooO62 1.000042 l.ooOo73 l.ooOo30 1.000061 1.000042
0.5 0.500043 0500044 0500031 0500022 0500039 NoData
1-2 0.200078 0200076 0200070 0200074 0.200072 NoData
2-2 0.200092 '0.200076 0.200075 0.200081 0200078 NoData
Study and Evaluation
Weight standard recalibration at
SRS
consists of comparing the mass of each weight t o the mass of a National Institute of Standards and Technology (NIST) traceable standards,determining the current mass of the weight, and issuing a certificate that specifies the current true mass, the apparent mass at a density of 8 grams per cubic centimeter, and an estimate of the uncertainty. No mass adjustments are made
1
to the weights. The certificates, which are filed by the using organizations, comprise a history file for each weight set.
Data histories for eight weight sets containing a total of 102 individual weights were obtained from various laboratories at
SRS.
A typical setof data is shown in Table 1. Five of the weight sets were stainless steel and the remainder
were brass. The weight data, which covers a
period of from 5 to 8 years, was evaluated by several statistical tests t o determine weight values were changing over time. if the
Table 2: WEIGHT SET: WL-1023
gobmind Calibration Dates: Jm-87 AF-89 S ~ 9 0 NOV-91 Oct-92 NOV-94
TrueMass(gm) 30.00034 30.00036 30.00037 30.00038 30.00028 30.00029 Average 30.00034 UpperLimit 30.00041 30.00041 30.00041 30.00041 30.00041 30.00041 StdDev LowerLimit 30.00026 30.00026 30.00026 30.00026 30.00026 30.00026 O.ooOo2 20 TrueMass(gm) 20.00028 20.00020. 20.00025 20.00031 20.ooo24 20.00023 Average UpperLiit 20.00039 20.00039 20.00039 20.00039 20.00039 20.00039 StdDev LowerLimit 20.00011 20.00011 20.00011 20.00011 . 20.00011 20.00011 O.ooOo5 10 TrueMass(gm) 10.00022 9.99988 9.99990 9.99990 9.99989 9.99988 Average Differences 0,00034 0.00002 0.00000 o.ooOo1 0.00000 9.99995 UpperLimit 10.00015 10.00015 10.00015 10.00015 10.00015 10.00015 StdDev LowerLimit 9.99974 9.99974 9.99974 9.99974 9.99974 9.99974 O.ooOo7 30
Me€- o.oooO2
o.oooo1
o.oooO1 0.00010 0.00000outlier NO NO NO NO NO NO
Diffemms O.oooO8 O.ooOo5 .O.oooO6 O.ooOo7 0.00000 20.00025
outlier NO NO NO NO NO NO
outlier YES NO NO NO NO NO
Out I ie
r
Test
The first analysis was an outlier test t o
determine if any of the certified values for each weight differed from their historical average. The test was simply a
+/-
(t)x(s) confidence limit about the historical average where t is the appropriate 99.7% t-value. The test isgraphically illustrated in Figure 1.
The standard deviation, s
,
was estimated from the replicate values for each weight over time. The method of moving range or successive differences was used t o estimate s t o prevent any trends from unduly inflating the estimate. The method estimates s by dividing the average difference bv a factor of 1.I
28. A Dortion ofis shown in Table 2. Failure of the outlier test indicated that a particular weight value was significantly different from its historical average. Any value that failed the outlier test was excluded from any subsequent analyses. Four weight values failed the oklier test Since the next calibration check indicated a return of the "failed" weight t o near its historical
average, it appears that the cause is due t o some perturbation in the measurement process for that specific value and not a real change in the weight value itself. The inadvertent switching of measured values for different weights with the same nominal value is another possible the outlier ialculations for a typical'weight set explanation.
9.99%
I
I 1 I I I. Sep90 NOV-91 06-92 NOV-94
Jan47 m 4 9
Analysis
ofVariance Test
The next statistical test was an analysis of variance (ANOVA) on the data for an entire weight set. 1 The purpose of this analysis was to determine if there were any significant effects due t o the different calibration times. Intuitively, the ANOVA makes this
determination by comparing the weight averages at each calibration time to one another. The average is taken across all, weights in the weight set. Before performing the ANOVA, the data was transformed by
calculating the deviation from the historical average for each weight. This technique
removes the differences due t o different weight sizes. Data for each weight set was treated as a 2-factor ANOVA without replication with the test of significance set at 95% confidence. The
only weight set that indicated a significant effect due t o time was
brass
weight set WL-101 3 (Table 3). This significant effect yas
due t o a gain trend which is discussed later.
Table 3: Weight Set WL-1013, Deviations from WeGht Averages ANOVA : Two-Factor Without Replication
sowce of
Vmiatwn
ss
df MS F P-value FcriticalWeights 9.762&26 Calibration Times 4.7556E-06
Error 1.9869E-05 12 5 59 8.13E-27 2.42E-20 1.00 951E-07 282* 0.02 337E-07 1.92 237
I
Total 2.4625E-05 76*
SignXcant with 95% confidenceI
Regression
Test
The final statistical analysis was a regression on each weight set t o determine if there were any significant gain or loss trends in weights over time. The number of elapsed months since the last calibration was chosen as the time variable. Again the analysis was performed on the transformed data, which were the deviations from the historical average for each weight. Figure 2 gives a graphical representation of the transformed data for a typical weight set. No
significant trends were indicated in any of the weight sets except set WL-1013, which had already exhibited a significant time effect in the ANOVA. The regression analysis for WL-1013,
which is shown in a Table 4, indicates an
average increase of 0.000008 grams per month or less than 0.1 milligrams per year. After
two
years the increase is less than 0.2 milligrams, which is well within the class S-1 tolerance. lgure 20.0004 0.0003
1
’ DEVIATIONS FROM WEIGHT AVERAGES
WEIGHT SET AG1020 LEGEND - 5 0 ai
.
20-2 v) 0.0002 0 10 . 5-
2-1 2-2E
0.0001g
-0.0001 0 13
-0.0002 x 0.5 a 0 Y-
x 0.2-1 -0.0003 i+
02-2 -0.0004 IJan47 Feb-88 Mar49 Mar-90 Apr-91 May-92 Aug-93
-
0-3 ITechnological Advances
There has been a major paradigm shift is the world of weighing. Weighing technology has changed as dramatically as the 21 jewel Swiss watches that have been replaced with the simple single quartz crystal watches. The need for buying and maintaining a set of weights for each balance no longer exists for 95% or more of our weighing applications using electronic balances. Randal Schoonover, head of the NlST
mass group, has published a paper, "The Use of the Electronic Balance for Highly Accurate Direct Mass Measurements Without the Use of External Mass Standards"
3
that stresses the lack of need for external mass standards. Hence, the need t o have mass standards calibrated is unnecessary, except t o havecalibrated ASTM Class 1 mass standards that are required t o calibrate electronic balances.
Table 4: Weight Set WL-1013, Deviations from WeIght Averages
Regression Statistics MultipIe R 03871991 R Square 0.1499232 Adjusted R 0.1385888 Standard 0.0005283 Observations 77 !3quare Error
Analysis of Variance Signa@xmce
Regression df 1 SwnofSquares 3.69186E-06 3.69186E-06 13.227 0.0005036 Meansquare F ofF Residual 75 209332J2-05 2.79109E-07
Total 76 24625E-05
Cmffiients StMdardError tSt&ic P-value L.tn4er9SQ Upper9Sg
Interceut -0.000359 0.000115593 -3.10467234 0.0027 -0.0005892 -0.00012
-
Slope 8.054E06 221453E-06 3.636938131 0.0005 3.643E-06 1.25E-o
Jerry Everhart, metrologist formerly with EG&G Mound Technologies, Miamisburg, Ohio, recommends using QC check standards that approximate the process for which the balance is used, rather than weighing stainless steel mass standards. 4 Therefore, the practice of buying, maintaining, and calibrating entire sets
of
weights for each balance is obsolete, expensive and unnecessary for approximately 400 balances at SRS.Cost Savings Analysis
Hence, a two-fold program is underway at the
SRS
to be more cost effective in the realm of mass standards use and calibration. The program calls for reducing the number of standard weights calibrated annually by the Savannah River Standards Laboratory (SRSL)and extending weight calibration frequencies t o 3 years. In the analytical laboratories alone, the annual expense of approximately $63 K for calibrating 530 weight standards can be
reduced t o less than $5 K by reducing the number of weights by 80% and extending the calibration intervals to 3 years. Detailed
calculations are shown in Table 5. Since the 530 weights in analytical laboratories
represent only one-eight of the approximately 4000 weights at SRS, site wide implementation will result in annual savings of 8 x $58,655 or $469,240.
Table5 CostDetails %
Existing Cost Baseline $63,070 New Method
Implementation Cost -$4,415
Annual Cost Savings $sa,sss Total Two Year Savings $1 17,310
Recommendations
Statistical analyses
of
the historical data for each weight set indicate no time effects or significant gain orloss
trends in the weights for periods of 5 t o 8 years with the exceptionof
one brass weight set. I t s time trend, though statistically significant, was less than 0.1milligrams per year, which is well within the
also a few significant "excursions" from the historical average for some individual weights. However, since the weight would return to near the expected value at the next calibration check,
it is believed that these deviations are related to
error in the calibration process rather than an actual change in the weight value. On the basis of the technological advances, and the statistical and cost savings analyses, the following actions are recommended.
1 Extend the calibration check frequency to three years for stainless steel weights, unless the history for a specific set indicates otherwise.
2. Eliminate the use of brass weights. 3. If brass weights are not eliminated,
extend their calibration check frequency t o two years.
4. Eliminate all weight calibration except for weights that are used for qualify control ahd for electronic balance calibration.
Summary
Over 4000 weight standards are in use a t the Savannah River Site (SRS). To validate their accuracy, most are recalibrated annually by the Savannah River Standards Laboratory. The need for an annual recalibration was questioned by the authors. Histories on eight weight sets from Analytical Laboratories, DWPF, and SRTC were selected at random t o determine if the certified weight values were changing significantly over time. Since statistical examination of the histories indicated little or no change in the certified weight values over time, a decrease in the frequency of calibration can be affected without any adverse effect on quality. Therefore, a three year calibration . frequency is recommended. Technological improvements in balances have reduced the need for a large number of calibrated weights. If the recommendations are implemented, cost for weight standard calibration can be reduced by approximately 90%.
5
References
1. Walpole and Myers, Probabi1.b and
. .
. .
atistics for FnatneersAuGaa&&
MacMillan Publishing Company, 1972. 2. National Institute of Standards and 'Technology, Handbook 44, SgecifimtiorlS, Jolerances. And Other Technical
Requiremen ts For Wetahina And Measuring Devices, 1990.
. .
3. Schoonover, R. M.
NlST
and F. E. Jones,NlST
Retired, The Use of the Electronic Balance forhlv Accurate Direct Mass Measurements Without the Use of Fxtemal Mass Standads,
Proceeding of the National Conference of Standard Laboratories Work shop and Symposium, Washing ton, DC, July 1994. 4. Jerry L Everhart, Mound Laboratories,
Mass Measurement Process Error
Determmtlon and Control
,
Proceedings of 7 994 Measurement Science Conference,Pasadena, CAY January 1994
. .
5. A. H. Shull & J. P. Clark, Achieving Calibration Cost Savinas Throuah Data Analvsis, Proceedings of the INMM 34h Annual Meeting, Phoenix, AZ, July 1993.