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Computer Simulation in
Medical Diagnostic Assay
Calibration Evaluation
Ping Shi Ph.D
Abbott Laboratories
Sept. 16, 2005
2
Contents
 Background of Calibration
 Calibration Evaluation
 Computer Simulation
 Comments
3
What is Calibration?
 Definition (ANSI/NCSL,1994)
The set of operations which establish,
under specified conditions, the
relationship between values indicated
by a measuring instrument or
measuring system, and the
corresponding standard or known
values derived from the standard.
4
Calibration Process
 Reference standard with known values
(calibrators) to cover the range of
interest.
0
1000
2000
3000
4000
0 20 40 60 80 100 120
Conc
Rate
5
Calibration Process
 Measurements on the calibrators with
the instrument/reagent lot to be
calibrated.
0
1000
2000
3000
4000
0 20 40 60 80 100 120
Conc
Rate
6
Calibration Process
 Mathematical function relationship
between the measured responses and
the known values of the reference
standards, called a Calibration
Curve.
0
1000
2000
3000
4000
0 20 40 60 80 100 120
Conc
Rate
7
Calibration Process
 Translation of the measurements of
samples to the values of interest by
the inverse of the calibration curve.
0
1000
2000
3000
4000
0 20 40 60 80 100 120
Conc
Rate
8
Calibration Curves
Quatitative Assay Calibration Curve
0
1000
2000
3000
4000
0 20 40 60 80 100 120
Conc
Rate
QualitativeAssayCalibrationCurve
0
2000
4000
6000
8000
10000
0 0.5 1 1.5 2
S/CO
Rate
9
Calibration Determination
 Calibrator values
 Model and weight in calibration curve
fitting
 Number of replicate at each calibrator
level
 Stored calibration curve use
10
Evaluation of Calibration
 Accuracy - Bias
 Precision - Variance Components (of
calibration, and more important, of
instrument, reagent lot, run, etc.)
 Sensitivity
 Specificity
11
Problems
 Very limited calibration curves available
due to:
 Instrument capacity
 Testing material limitation
 Time limitation
 Manpower/Laboratory availability
12
Simulation Approach
 Build mean and SD profiles
 Simulate calibration curves based on
the profiles
 Evaluate and select calibration methods
13
Mean and SD Profiles
 Run multiple replicates at each of
several samples with known values
across assay dynamical region.
0
1000
2000
3000
4000
0 20 40 60 80 100 120
Conc
Rate
14
Mean and SD Profiles
 Build mean and SD profiles of response
variable over the region based on the
test results.
0
1000
2000
3000
4000
0 20 40 60 80 100 120
Conc
Mean
0
10
20
30
40
50
0 20 40 60 80 100 120
Conc
SD
15
Calibration Curve Simulation
 Simulate a sample mean at each of six
calibrator concentration levels based on
the profiles
 sample_mean=
mean+SD/sqrt(n)*random(seed)
16
Calibration Curve Simulation
 Fit the calibration curve
 Replicate the process to get multiple
simulated calibration curves
0
1000
2000
3000
4000
0 20 40 60 80 100 120
Conc
Rate
17
Calibration Method Evaluation
 Evaluate bias, precision, sensitivity and
specificity for each calibration method.
1500
2500
3500
10 20 30 40 50
Conc
Rate
0
4
8
12
25 30 35 40 45
Conc
Frequency
18
Comments
 The same approach applies to other
calibration methods such as the ones
used in qualitative assays.
 When evaluating calibration curves,
different criteria might be used in
different region due to clinical
importance.

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Computer Simulation in Medical Diagnostic Assay Calibration Evaluation

  • 1. Computer Simulation in Medical Diagnostic Assay Calibration Evaluation Ping Shi Ph.D Abbott Laboratories Sept. 16, 2005
  • 2. 2 Contents  Background of Calibration  Calibration Evaluation  Computer Simulation  Comments
  • 3. 3 What is Calibration?  Definition (ANSI/NCSL,1994) The set of operations which establish, under specified conditions, the relationship between values indicated by a measuring instrument or measuring system, and the corresponding standard or known values derived from the standard.
  • 4. 4 Calibration Process  Reference standard with known values (calibrators) to cover the range of interest. 0 1000 2000 3000 4000 0 20 40 60 80 100 120 Conc Rate
  • 5. 5 Calibration Process  Measurements on the calibrators with the instrument/reagent lot to be calibrated. 0 1000 2000 3000 4000 0 20 40 60 80 100 120 Conc Rate
  • 6. 6 Calibration Process  Mathematical function relationship between the measured responses and the known values of the reference standards, called a Calibration Curve. 0 1000 2000 3000 4000 0 20 40 60 80 100 120 Conc Rate
  • 7. 7 Calibration Process  Translation of the measurements of samples to the values of interest by the inverse of the calibration curve. 0 1000 2000 3000 4000 0 20 40 60 80 100 120 Conc Rate
  • 8. 8 Calibration Curves Quatitative Assay Calibration Curve 0 1000 2000 3000 4000 0 20 40 60 80 100 120 Conc Rate QualitativeAssayCalibrationCurve 0 2000 4000 6000 8000 10000 0 0.5 1 1.5 2 S/CO Rate
  • 9. 9 Calibration Determination  Calibrator values  Model and weight in calibration curve fitting  Number of replicate at each calibrator level  Stored calibration curve use
  • 10. 10 Evaluation of Calibration  Accuracy - Bias  Precision - Variance Components (of calibration, and more important, of instrument, reagent lot, run, etc.)  Sensitivity  Specificity
  • 11. 11 Problems  Very limited calibration curves available due to:  Instrument capacity  Testing material limitation  Time limitation  Manpower/Laboratory availability
  • 12. 12 Simulation Approach  Build mean and SD profiles  Simulate calibration curves based on the profiles  Evaluate and select calibration methods
  • 13. 13 Mean and SD Profiles  Run multiple replicates at each of several samples with known values across assay dynamical region. 0 1000 2000 3000 4000 0 20 40 60 80 100 120 Conc Rate
  • 14. 14 Mean and SD Profiles  Build mean and SD profiles of response variable over the region based on the test results. 0 1000 2000 3000 4000 0 20 40 60 80 100 120 Conc Mean 0 10 20 30 40 50 0 20 40 60 80 100 120 Conc SD
  • 15. 15 Calibration Curve Simulation  Simulate a sample mean at each of six calibrator concentration levels based on the profiles  sample_mean= mean+SD/sqrt(n)*random(seed)
  • 16. 16 Calibration Curve Simulation  Fit the calibration curve  Replicate the process to get multiple simulated calibration curves 0 1000 2000 3000 4000 0 20 40 60 80 100 120 Conc Rate
  • 17. 17 Calibration Method Evaluation  Evaluate bias, precision, sensitivity and specificity for each calibration method. 1500 2500 3500 10 20 30 40 50 Conc Rate 0 4 8 12 25 30 35 40 45 Conc Frequency
  • 18. 18 Comments  The same approach applies to other calibration methods such as the ones used in qualitative assays.  When evaluating calibration curves, different criteria might be used in different region due to clinical importance.