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Chapter 12
Quality Assurance and Quality Control
1 Need for Quality Assurance
Many studies have shown that analytical results are often subject to serious errors,
particularly at the low concentrations encountered in environmental samples. In fact, the
errors may be so large that the validity of actions taken regarding management of
environment may become questionable,
Nutrients, N and P, in very small concentrations can cause eutrophication of water
bodies. An analytical quality control (AQC) exercise conducted by United States
Environmental Protection Agency (US-EPA) showed a wide variation in results when
identical samples were analysed in 22 laboratories:
Nutrient Concentration, Range of results,
mg/L mg/L
Ammonia 0.26 0.09-0.39
1.71 1.44-2.46
Nitrate 0.19 0.08-0.41
Total phosphorus 0.882 0.642- 1.407
It is seen that the range of values reported are significantly large,+50% for ammonia
and +100% for nitrates, compared to the actual concentrations, Therefore, the need for
nutrient control programme and its results become difficult to assess.
Many laboratories analyzing water quality report total dissolved salts (TDS) calculated
from the electrical conductivity (EC) value:
/
TDS, mg/L = A x EC, pS/cm
where A is a constant ranging between 0.55 and 0.9 depending on the ionic
composition of salts dissolved in the water.
An inter-laboratory AQC exercise conducted by Central Pollution Control Board (CPCB)
showed that for measurement of EC of a standard solution, out of 44 participating,
laboratories only 34% reported values in the acceptable range. Figure 1.
Thus, the reliability of iso-concentrations of TDS in groundwaters, drawn based on data
of several laboratories may become questionable on two counts; use of an arbitrary
value for the constant A and variation in inter-laboratory measurements.
These examples amply demonstrate the need for quality assurance (QA) programmes.
2 Quality assurance programme
For any QA programme it is important to explicitly state, in detail, the quality
requirement of the product, in our case the analytical data, its precision and accuracy.
The QA programme for a laboratory or a group of laboratories should contain a set of
operating principles and procedures, written down and agreed upon by the organisation,
delineating specific functions and responsibilities of each person involved and the chain
of command, which would produce analytical data of required accuracy. It is necessary
that the top management agrees to the 'quality policy'; it requires financial commitment.
The next step is that all levels in the organization accept this concept, the laboratory
supervisor, who is responsible to the data user, the analyst and the field staff.
For effectiveness, QA requires continuing evaluation of the programme and audits. This
may done by an independent group within the organization. The checking of work
should be done on a regular basis, not to reward or reprimand, but to correct mistakes.
It should be based on notion that everybody makes mistakes and one can learn from
one's mistakes. Striving for quality is not equal to striving for perfection. The analytical
data has a good quality when it is fit for use.
Various aspects of a QA programme are noted below.
Sample control and documentation
Procedures regarding sample collection, labelling, preservation, transport, preparation
of its derivatives, where required, and the chain-of-custody.
r
Mistakes in sampling will have an influence on the monitoring results. There is no
possibility to reproduce a sample, there is only a probability based on expert judgement,
that there is little or no change since the erroneous sample was taken. Because of the
importance of proper sampling, special attention should be paid to the motivation of the
staff involved in sampling. Proper training and facilities can help, but also feed back of
monitoring results to the field staff may provide attachment to the programme.
Standard analytical procedures
Procedures giving detailed analytical method for the analysis of each parameter giving
results of acceptable accuracy should be clearly defined.
Analyst qualifications
Qualifications and training requirements of the analysts must be specified. The number
of repetitive analyses required to obtain result of acceptable accuracy also depends on
the experience of the analyst.
Equipment maintenance
For each instrument, a strict preventive maintenance programme should be followed. It
will reduce instrument malfunctions, maintain calibration and reduce downtime.
Corrective actions to be taken in case of malfunctions should be specified.
Calibration procedures
In analyses where an instrument has to be calibrated, the procedure for preparing a
standard curve must be specified, e.g., the minimum number of different dilutions of a
standard to be used, method detection limit (MDL), range of calibration, verification of
the standard curve during routine analyses, etc.
Analytical quality control
This includes both within-laboratory AQC and inter-laboratory AQC.
Under the within-laboratory programme studies may include: recovery of known
additions to evaluate matrix effect and suitability of analytical method; analysis of
reagent blanks to monitor purity of chemicals and reagent water; analysis of sample
blanks to evaluate sample preservation, storage and transportation; analysis of
duplicates to asses method precision; and analysis of individual samples or sets of
samples (to obtain mean values) from same control standard to check random error.
Inter-laboratory programmes are designed to evaluate laboratory bias and requires
participation of a reference laboratory.
AQC exercise are not one time exercises but rather internal mechanisms for checking
performance and protecting laboratory work from errors that may creep in. Laboratories
who accept these control checks will find that this results in only about 5 percent extra
work.
In Summary:
AQC is:
โ€ข an internal mechanism for checking your own performance
โ€ข protecting yourself from a dozen of errors that may creep into analytical work
โ€ข to avoid human errors in routine work
โ€ข practiced by responsible chemists
โ€ข not useless work
โ€ข common practice in certified laboratories
AQC is NOT:
โ€ข much work
โ€ข to be carried out for each and every routine sample.
โ€ข checking and reporting the quality of your work
โ€ข a one time exercise to be forgotten soon
Data reduction, validation and reporting
Data obtained from analytical procedures, where required, must be corrected for sample
size, extraction efficiency, instrument efficiency, and background value. The correction
factors as well as validation procedures should be specified. Results should be reported
in standard units. A prescribed method should be used for reporting results below MOL.
An important aspect of reporting the results is use of correct number of significant
figures. In order to decide the number of significant digits the uncertainty associated
with the reading(s) in the procedure should be known. Knowledge of standard deviation
will help in rounding off the figures that are not significant. Procedures regarding
rounding off must be followed.
3 Shewhart control charts
If a set of analytical results is obtained for a control sample under conditions of routine
analysis, some variation of the observed values will be evident. The information is said
to be statistically uniform and the analytical procedure is said to be under statistical
control if this variation arises solely from random variability. The function of a control
chart is to identify any deviation from the state of statistical control.
Shewhart control chart is most widely used form of control charts. In its simplest form,
results of individual measurements made on a control sample are plotted on a chart in a
time series. The control sample is analysed in the same way as the routine samples at
fixed time intervals, once or twice every week, or after 20 to 50 routine samples. .
Assuming the results for the control sample follow the Normal frequency distribution, it
would be expected that only 0.3% of results would fall outside lines drawn at 3 standard
deviations above and below the mean value called upper and lower control limits, UCL
and LCL, respectively. Individual results would be
expected to fall outside these limits so seldom (3 out of 1000 results), that such an
event would justify the assumption that the analytical procedure was no longer in
statistical control, Le., a real change in accuracy has occurred.
Two lines are inserted on the chart at 2 standard deviations above and below the mean
value called upper and lower warning limits, UWL and LWL, respectively. If the method
is under control, approximately 4.5% of results may be expected to fall outside these
lines.
This type of chart provides a check on both random and systematic error gauged from
the spread of results and their displacement, respectively. The following actions may be
taken based on analysis results in comparison to the standard deviation.
Control limit: If one measurement exceeds the limits, repeat the analysis immediately. If
the repeat is within the UCL and LCL, continue analyses; if it exceeds the control limits
again, discontinue analyses and correct the problem.
Warning limit: If two out of three successive points exceeds the limits, analyse another
sample. If the next point is within the UWL and LWL, continue analyses; if the next point
exceeds the warning limits, discontinue analyses and correct the problem.
Standard deviation: If four out of five successive points exceed one standard deviation,
or are in increasing or decreasing order, analyse another sample. If the next point is
less than one standard deviation away from the mean, or changes the order, continue
analyses; otherwise discontinue analyses and correct the problem.
Central line: If six successive points are on one side of the mean line, analyse another
sample. If the next point changes the side continue the analyses; otherwise discontinue
analyses and correct the problem.
Figure 2 to Figure 4 illustrate some of the cases of loss of statistical control for analysis
of individual samples based on the above criteria.
4 Discussion of results
Precision
The most important parameter to evaluate in the results is the precision. The statistical
term to evaluate precision is standard deviation. The numerical value of the standard
deviation depends on the average concentration Numerical values of standard
deviations of low concentration solutions are usually smaller than those of solutions with
higher concentrations. Therefore the coefficient of variation, should be used to evaluate
precision. This is particularly useful when comparing results of analysis for samples
having different concentrations.
For example, for results of two sets of analyses, performed on two different samples, if
the mean values are 160 and 10 mg/L and standard deviations are 8 and 1.5 mg/L,
respectively, comparison of standard deviation would indicate lower precision for the
first set of observations (standard deviation 8 mg/L), while the CV values work out to be
5 [(8/160) x 100] and [15 (1.5/10) x 100] percents respectively, indicating a lower
precision for the second set of observations.
Before evaluating the results one should answer the question 'what is the desired
precision for an analysis?'. In fact this question should be answered by the so called
'data users'. The use of the data determines the required precision, e.g. detection of
trends may require more precise results in order to actually detect small changes with
respect to time.
As a minimum goal for precision, however, the precision that can be obtained by
correctly and adequately following the prescribed method should be adopted.
Calculating revised limits when continuing the exercise
Warning and control limits should be recalculated periodically. Especially when new
techniques are introduced, the precision improves when experience is gained with the
technique. A good time for recalculating the control and warning limits is at the time
when the control chart is full and a new graph has to be created anyway. At this point,
use the 20 most recent data on the old chart for construction of LCL, LWL, average,
UWL and UCL.
Errors that cannot be detected by within-laboratory AQC
The within-laboratory AQC exercise focuses mainly on precision. A laboratory on its
own cannot detect many sources of bias. If the analytical balance in a laboratory always
reads 10% too much all solution prepared will have a 10% higher concentration: For
example, in the hardness determination by titrimetric procedure the standard CaC03
solution, the EDTA titrant and also the control sample containing CaC03 will all have
10% higher concentration and therefore the error will not be detected. This error can
only be detected by analysing a sample prepared by a laboratory with a correctly
functioning balance. The current laboratory will underestimate the concentration of such
a inter-laboratory sample also by 10% because their EDTA titrant would be' 10% too
strong'.
In some cases freshly introduced bias may be detected. For example, if the
measurements consistently fall on one side of the previously calculated mean, it
indicates a freshly introduced bias. An inter-laboratory AQC exercise should be
conducted for detecting bias or accuracy for analysis.
AQC (Water) Exercise Overall Performance
IN 4 ROUNDS (1992 - 1997)
% of Labs,
63 63
ยซ 60
m M H I โ€” โ€” 56
TOTAL NO. OF LABS.: 70
NO. OF PARAMETERS: 19
OVERALL PERFORMANCE: 42%
47
40
20
41 40 40
37 36 ?6 35
31
29 29
25
22
T.H, a K Ca 8 TOSCOO Crt Na NH3CON F , S04 TKN N03 FDS BOD Mg P04
PARAMETERS
FIGURE 1 OVERALL PERFORMANCE OF LABORATORIES IN INTER-LABORATORY A Q C CONDUCTED BY
C P C B . INDIA, : ,
o?
o
2
cยฉ
oc
o
O
120
115
110
105
100
95
90
ss
80
S h e w h a r t control chart for TH
(out of control:
'Cr~
o.
^ ' " " i
o O ยฐ
9 ยง
Control Limit
Warning Limit
Expected Concentration
Warning Limit
Control Limit
Sample date
FIGURE 2 EXAMPLE OF LOSS OF STATISTICAL CONTROL BY THE CONTROL LIMIT CRITERION.
Shewhart control chart for TH
(out of control: Warning)
Control Limit
Warning Limit
Expected Concentration
Warning Limit
Control Limit
tยป K V K ' S >ยป f> h S i-- f> - - N N iยป
S I ) t 9 J ยป ยป f ( J I } S 8 ยป S I 5
Sample date
FIGURE 5 EXAMPLE OF LOSS OF STATISTICAL CONTROL BY THE WARNING LIMIT CRITERION,
Shewhart control chart for TH
(out of control; Standard Deviation)
Control Limit
Warning Limit
Expected Concentration
Warning Limit
Control Limit
C. IE v' S? ยฉ ยฃS C* CI Oi C irj
( J ^ t j o u o l f s t u
0 9 0 9 9 0 0 0 9 9 9
# 0 q r n ยซ ยฎ & h ยฎ
ยฉ O <r r *ยซ *r r 1* r* <r -r
Sample data
FIGURE H EXAMPLE OF LOSS OF STATISTICAL CONTROL BY THE STANDARD DEVIATION LIMIT CRITERION.

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Quality Assurance and Quality Control

  • 1. Chapter 12 Quality Assurance and Quality Control 1 Need for Quality Assurance Many studies have shown that analytical results are often subject to serious errors, particularly at the low concentrations encountered in environmental samples. In fact, the errors may be so large that the validity of actions taken regarding management of environment may become questionable, Nutrients, N and P, in very small concentrations can cause eutrophication of water bodies. An analytical quality control (AQC) exercise conducted by United States Environmental Protection Agency (US-EPA) showed a wide variation in results when identical samples were analysed in 22 laboratories: Nutrient Concentration, Range of results, mg/L mg/L Ammonia 0.26 0.09-0.39 1.71 1.44-2.46 Nitrate 0.19 0.08-0.41 Total phosphorus 0.882 0.642- 1.407 It is seen that the range of values reported are significantly large,+50% for ammonia and +100% for nitrates, compared to the actual concentrations, Therefore, the need for nutrient control programme and its results become difficult to assess. Many laboratories analyzing water quality report total dissolved salts (TDS) calculated from the electrical conductivity (EC) value: / TDS, mg/L = A x EC, pS/cm where A is a constant ranging between 0.55 and 0.9 depending on the ionic composition of salts dissolved in the water. An inter-laboratory AQC exercise conducted by Central Pollution Control Board (CPCB) showed that for measurement of EC of a standard solution, out of 44 participating, laboratories only 34% reported values in the acceptable range. Figure 1.
  • 2. Thus, the reliability of iso-concentrations of TDS in groundwaters, drawn based on data of several laboratories may become questionable on two counts; use of an arbitrary value for the constant A and variation in inter-laboratory measurements. These examples amply demonstrate the need for quality assurance (QA) programmes. 2 Quality assurance programme For any QA programme it is important to explicitly state, in detail, the quality requirement of the product, in our case the analytical data, its precision and accuracy. The QA programme for a laboratory or a group of laboratories should contain a set of operating principles and procedures, written down and agreed upon by the organisation, delineating specific functions and responsibilities of each person involved and the chain of command, which would produce analytical data of required accuracy. It is necessary that the top management agrees to the 'quality policy'; it requires financial commitment. The next step is that all levels in the organization accept this concept, the laboratory supervisor, who is responsible to the data user, the analyst and the field staff. For effectiveness, QA requires continuing evaluation of the programme and audits. This may done by an independent group within the organization. The checking of work should be done on a regular basis, not to reward or reprimand, but to correct mistakes. It should be based on notion that everybody makes mistakes and one can learn from one's mistakes. Striving for quality is not equal to striving for perfection. The analytical data has a good quality when it is fit for use. Various aspects of a QA programme are noted below. Sample control and documentation Procedures regarding sample collection, labelling, preservation, transport, preparation of its derivatives, where required, and the chain-of-custody. r Mistakes in sampling will have an influence on the monitoring results. There is no possibility to reproduce a sample, there is only a probability based on expert judgement, that there is little or no change since the erroneous sample was taken. Because of the importance of proper sampling, special attention should be paid to the motivation of the staff involved in sampling. Proper training and facilities can help, but also feed back of monitoring results to the field staff may provide attachment to the programme.
  • 3. Standard analytical procedures Procedures giving detailed analytical method for the analysis of each parameter giving results of acceptable accuracy should be clearly defined. Analyst qualifications Qualifications and training requirements of the analysts must be specified. The number of repetitive analyses required to obtain result of acceptable accuracy also depends on the experience of the analyst. Equipment maintenance For each instrument, a strict preventive maintenance programme should be followed. It will reduce instrument malfunctions, maintain calibration and reduce downtime. Corrective actions to be taken in case of malfunctions should be specified. Calibration procedures In analyses where an instrument has to be calibrated, the procedure for preparing a standard curve must be specified, e.g., the minimum number of different dilutions of a standard to be used, method detection limit (MDL), range of calibration, verification of the standard curve during routine analyses, etc. Analytical quality control This includes both within-laboratory AQC and inter-laboratory AQC. Under the within-laboratory programme studies may include: recovery of known additions to evaluate matrix effect and suitability of analytical method; analysis of reagent blanks to monitor purity of chemicals and reagent water; analysis of sample blanks to evaluate sample preservation, storage and transportation; analysis of duplicates to asses method precision; and analysis of individual samples or sets of samples (to obtain mean values) from same control standard to check random error. Inter-laboratory programmes are designed to evaluate laboratory bias and requires participation of a reference laboratory. AQC exercise are not one time exercises but rather internal mechanisms for checking performance and protecting laboratory work from errors that may creep in. Laboratories who accept these control checks will find that this results in only about 5 percent extra work. In Summary: AQC is: โ€ข an internal mechanism for checking your own performance
  • 4. โ€ข protecting yourself from a dozen of errors that may creep into analytical work โ€ข to avoid human errors in routine work โ€ข practiced by responsible chemists โ€ข not useless work โ€ข common practice in certified laboratories AQC is NOT: โ€ข much work โ€ข to be carried out for each and every routine sample. โ€ข checking and reporting the quality of your work โ€ข a one time exercise to be forgotten soon Data reduction, validation and reporting Data obtained from analytical procedures, where required, must be corrected for sample size, extraction efficiency, instrument efficiency, and background value. The correction factors as well as validation procedures should be specified. Results should be reported in standard units. A prescribed method should be used for reporting results below MOL. An important aspect of reporting the results is use of correct number of significant figures. In order to decide the number of significant digits the uncertainty associated with the reading(s) in the procedure should be known. Knowledge of standard deviation will help in rounding off the figures that are not significant. Procedures regarding rounding off must be followed. 3 Shewhart control charts If a set of analytical results is obtained for a control sample under conditions of routine analysis, some variation of the observed values will be evident. The information is said to be statistically uniform and the analytical procedure is said to be under statistical control if this variation arises solely from random variability. The function of a control chart is to identify any deviation from the state of statistical control. Shewhart control chart is most widely used form of control charts. In its simplest form, results of individual measurements made on a control sample are plotted on a chart in a time series. The control sample is analysed in the same way as the routine samples at fixed time intervals, once or twice every week, or after 20 to 50 routine samples. . Assuming the results for the control sample follow the Normal frequency distribution, it would be expected that only 0.3% of results would fall outside lines drawn at 3 standard deviations above and below the mean value called upper and lower control limits, UCL and LCL, respectively. Individual results would be
  • 5. expected to fall outside these limits so seldom (3 out of 1000 results), that such an event would justify the assumption that the analytical procedure was no longer in statistical control, Le., a real change in accuracy has occurred. Two lines are inserted on the chart at 2 standard deviations above and below the mean value called upper and lower warning limits, UWL and LWL, respectively. If the method is under control, approximately 4.5% of results may be expected to fall outside these lines. This type of chart provides a check on both random and systematic error gauged from the spread of results and their displacement, respectively. The following actions may be taken based on analysis results in comparison to the standard deviation. Control limit: If one measurement exceeds the limits, repeat the analysis immediately. If the repeat is within the UCL and LCL, continue analyses; if it exceeds the control limits again, discontinue analyses and correct the problem. Warning limit: If two out of three successive points exceeds the limits, analyse another sample. If the next point is within the UWL and LWL, continue analyses; if the next point exceeds the warning limits, discontinue analyses and correct the problem. Standard deviation: If four out of five successive points exceed one standard deviation, or are in increasing or decreasing order, analyse another sample. If the next point is less than one standard deviation away from the mean, or changes the order, continue analyses; otherwise discontinue analyses and correct the problem. Central line: If six successive points are on one side of the mean line, analyse another sample. If the next point changes the side continue the analyses; otherwise discontinue analyses and correct the problem. Figure 2 to Figure 4 illustrate some of the cases of loss of statistical control for analysis of individual samples based on the above criteria. 4 Discussion of results Precision The most important parameter to evaluate in the results is the precision. The statistical term to evaluate precision is standard deviation. The numerical value of the standard deviation depends on the average concentration Numerical values of standard deviations of low concentration solutions are usually smaller than those of solutions with higher concentrations. Therefore the coefficient of variation, should be used to evaluate precision. This is particularly useful when comparing results of analysis for samples having different concentrations. For example, for results of two sets of analyses, performed on two different samples, if the mean values are 160 and 10 mg/L and standard deviations are 8 and 1.5 mg/L, respectively, comparison of standard deviation would indicate lower precision for the
  • 6. first set of observations (standard deviation 8 mg/L), while the CV values work out to be 5 [(8/160) x 100] and [15 (1.5/10) x 100] percents respectively, indicating a lower precision for the second set of observations. Before evaluating the results one should answer the question 'what is the desired precision for an analysis?'. In fact this question should be answered by the so called 'data users'. The use of the data determines the required precision, e.g. detection of trends may require more precise results in order to actually detect small changes with respect to time. As a minimum goal for precision, however, the precision that can be obtained by correctly and adequately following the prescribed method should be adopted. Calculating revised limits when continuing the exercise Warning and control limits should be recalculated periodically. Especially when new techniques are introduced, the precision improves when experience is gained with the technique. A good time for recalculating the control and warning limits is at the time when the control chart is full and a new graph has to be created anyway. At this point, use the 20 most recent data on the old chart for construction of LCL, LWL, average, UWL and UCL. Errors that cannot be detected by within-laboratory AQC The within-laboratory AQC exercise focuses mainly on precision. A laboratory on its own cannot detect many sources of bias. If the analytical balance in a laboratory always reads 10% too much all solution prepared will have a 10% higher concentration: For example, in the hardness determination by titrimetric procedure the standard CaC03 solution, the EDTA titrant and also the control sample containing CaC03 will all have 10% higher concentration and therefore the error will not be detected. This error can only be detected by analysing a sample prepared by a laboratory with a correctly functioning balance. The current laboratory will underestimate the concentration of such a inter-laboratory sample also by 10% because their EDTA titrant would be' 10% too strong'. In some cases freshly introduced bias may be detected. For example, if the measurements consistently fall on one side of the previously calculated mean, it indicates a freshly introduced bias. An inter-laboratory AQC exercise should be conducted for detecting bias or accuracy for analysis.
  • 7. AQC (Water) Exercise Overall Performance IN 4 ROUNDS (1992 - 1997) % of Labs, 63 63 ยซ 60 m M H I โ€” โ€” 56 TOTAL NO. OF LABS.: 70 NO. OF PARAMETERS: 19 OVERALL PERFORMANCE: 42% 47 40 20 41 40 40 37 36 ?6 35 31 29 29 25 22 T.H, a K Ca 8 TOSCOO Crt Na NH3CON F , S04 TKN N03 FDS BOD Mg P04 PARAMETERS FIGURE 1 OVERALL PERFORMANCE OF LABORATORIES IN INTER-LABORATORY A Q C CONDUCTED BY C P C B . INDIA, : , o? o 2 cยฉ oc o O 120 115 110 105 100 95 90 ss 80 S h e w h a r t control chart for TH (out of control: 'Cr~ o. ^ ' " " i o O ยฐ 9 ยง Control Limit Warning Limit Expected Concentration Warning Limit Control Limit Sample date FIGURE 2 EXAMPLE OF LOSS OF STATISTICAL CONTROL BY THE CONTROL LIMIT CRITERION.
  • 8. Shewhart control chart for TH (out of control: Warning) Control Limit Warning Limit Expected Concentration Warning Limit Control Limit tยป K V K ' S >ยป f> h S i-- f> - - N N iยป S I ) t 9 J ยป ยป f ( J I } S 8 ยป S I 5 Sample date FIGURE 5 EXAMPLE OF LOSS OF STATISTICAL CONTROL BY THE WARNING LIMIT CRITERION, Shewhart control chart for TH (out of control; Standard Deviation) Control Limit Warning Limit Expected Concentration Warning Limit Control Limit C. IE v' S? ยฉ ยฃS C* CI Oi C irj ( J ^ t j o u o l f s t u 0 9 0 9 9 0 0 0 9 9 9 # 0 q r n ยซ ยฎ & h ยฎ ยฉ O <r r *ยซ *r r 1* r* <r -r Sample data FIGURE H EXAMPLE OF LOSS OF STATISTICAL CONTROL BY THE STANDARD DEVIATION LIMIT CRITERION.