Content

Overview

Blank Corrected

Expected Recovery

IUPAC Recovery Method
Expected Concentration Method
 
%Difference

%Recovery

RPD

 

Overview

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QC Calculations are automatic calculations performed on the various Samples of the QCBatch. These calculations automatically add additional dataitems per Parameter on the different Samples. These additional dataitems are often used for evaluation.

Calculations might include:

Calculations within a single QC Sample such as a RPD, Relative Percent Difference between the observed value and a nominal expected value.
Calculation between successive linked QCSamples such as a Spike QC Sample, and the Sample that was spiked.
A calculation that accesses the true value as defined in the Consumable Lot that is referenced from the QCSampleType.
Calculations across the group of Unknown Samples such as a blank subtraction that takes a blank value and subtracts off from other Samples near the blank.

The Calculations to be performed are defined in the Calculation Action field (on the QC Method in the QC Method Sample Type tab) for each QC Method Sample Type.

Behind each calculation is an action. This action is executed during Batch creation. The action is responsible for internally adding additional data items for each of the parameters that are present in the Test Methods/Parameter Lists as well as defining the Labvantage calculation syntax that will be executed during data entry.

These additional dataitems can be viewed in the standard data entry page shown here.

QC Calculations are performed real time, during data entry.

Along with the values entered during data entry (in the yellow colored fields) additional parameter values are used to perform the calculations. These values can be defined in the QC Method or by associated Consumable Lots.

The following sections describe each of the QC Calculations provided and any additional parameters needed.

 

Blank Corrected

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Subtracts the Blank's data value from the value of other Samples. Some definitions are in order:

A "Bracket Parent" is a Blank that has Unknown Samples and/or QC Samples below it.
A "Blank Bracket" defines a group of Unknown and/or QC Samples beginning immediately below the Bracket Parent and ending at the next Blank.

Blank Correction is done on Samples in the Blank Bracket that have the same Data Sets as the Bracket Parent.

In the example below:

Samples in positions 4 through 7 have the same Data Sets as position 3. Blank Correction subtracts position 3's value from Samples in positions 4 through 7.
Samples in positions 9 and 10 have the same Data Sets as position 8. Blank Correction subtracts position 8's value from Samples in positions 9 and 10.
  Position QC Sample Type  
  1 Unknown  
  2 Control  

Blank Bracket ->

3 Blank <- Bracket Parent
4 Duplicate  
5 Spike  
6 Unknown  
  7 Blank  

Blank Bracket ->

8 Blank <- Bracket Parent
9 Unknown  
10 Duplicate  

 

Formula Rc = Ro * Rb

where

Rc is the corrected concentration
Ro is the uncorrected original concentration
Rb is the concentration of the Blank
QC Sample Type Unknown, Control, Duplicate, Spike
Data Item Generated Automatically adds a Data Item to each Sample (with an Evaluate Param Type of "Blank Corrected") in the Blank Bracket.
Action Executed QCCalcBlankSubtract

Results of Blank Correction:

1. Mean/average is derived from all Replicates of a Data Item in a Bracket Parent.
2. Value of the derived mean is subtracted from the value of all matching Data Items in the Samples within the Blank Bracket.
3. Blank Corrected Data Item is added to all Samples within the Blank Bracket for which Blank Correction is done. A difference value is also provided.

Following Blank Correction, the Blank Corrected values are considered "base values". Other QC Calculations (RPD, %Difference, %Recovery, Expected Recovery) are done on the Blank Corrected values.

Here is an example of this evaluation during data entry:

Sample 001
Parameter Type Replicate Entered Value  
Ca Standard 1 30

<- Average/mean is derived from all Replicates of a Data Item for a Blank.

Ca Standard 2 10
Ca Standard 3 24
Z Standard 1 9  
Z Standard 2 10  
Z Standard 3 11  
Ca Average 1 21.333333 <- Automatically derived average/mean value of the Data Item.
Z Average 1 10  

 

Sample 002
  Parameter Type Replicate Entered Value  
  Ca Standard 1 90

<- Values of Data Item Replicates before Blank Correction.

  Ca Standard 2 10
  Ca Standard 3 20
  Z Standard 1 4  
  Z Standard 2 3  
  Z Standard 3 6  
          Blank Corrected values of Replicates:
When Blank Correction
is done for a Standard
Data Item, BlankCorrected
Data Item is added.
Ca BlankCorrected 1 69
90 - 21 = 69
10 - 21 = -11
20 - 21 = -1
Ca BlankCorrected 2 -11
Ca BlankCorrected 3 -1

Additional Parameters

No additional Parameters are needed.

 

Expected Recovery

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Expected Recovery is calculated from the concentration of the spiking solution, and volumes of the Spike and Unknown Sample.

Additional information associated with the Spike QC Sample Type (spiking and Sample volumes, actual concentrations of different parameters) are used in this calculation.

Expected Recovery accesses the source Sample identified by the "LinkTo" property of the QC Sample Type. This calculation executes when the Data Set in the "LinkedTo" Sample is modified.

Formula

E

=

v (C - U)
V + v

where

E is the Expected Recovery
v is the volume of the Spike Sample
V is the volume of the Unknown Sample
C is the concentration of the parameter
U is the concentration of the Unknown Sample
x = Measured Difference in Concentration
  = SPV - U

where

SPV is the value of the Spike Sample
U is the concentration of the Unknown Sample

%R = Percent Recovery

QC Sample Type Spike
DataItem Generated Automatically adds a Data Item for each Parameter of the Spike with an Evaluate Param Type of "ExpectedRecovery".
Action Executed QCCalcSpikePRecovery

Additional Parameters

Add the following Parameters when the QCCalcSpikePRecovery calculation is used.

Parameter Parameter Type
In the QC Method, QC Sample Type tab, add a "Concentration" Parameter and value for each Parameter to be tested.

Or,

You can use the Consumables module to obtain these parameter values by defining the following:

In the Consumable Type, reference the associated Parameter List in the Consumable Params field. As Consumable Lots are added for this Consumable Type actual values must be defined for these Parameters in the Consumable Params detail. These values are then used by the QCCalcSpikePRecovery calculation.

Concentration
In the QC Method, add the Sample Spike Volume Parameter. Standard
In the QC Method, QC Sample Type tab, add the Sample Volume Parameter. Standard

See QC Methods → Define Additional Parameters for more information about defining these Parameters.

 

IUPAC Recovery Method

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Alternative to Expected Recovery.

Formula

E

=

v * C
V + v

where

E is the Expected Recovery
v is the volume of the Spike Sample
V is the volume of the Unknown Sample
C is the concentration of the parameter
x = Measured Difference in Concentration
 

=

SPV

-

U * V
V + v

where

SPV is the value of the Spike Sample
U is the concentration of the Unknown Sample

%R = Percent Recovery

QC Sample Type Spike
DataItem Generated Automatically adds a Data Item for each Parameter of the Spike with an Evaluate Param Type of "ExpectedRecovery".
Action Executed QCCalcSpikeIUPACMeth

Additional Parameters

Add the following Parameters for the QCCalcSpikeIUPACMeth calculation

Parameter Parameter Type Value
Define one Parameter for each of the Parameters to be tested. Concentration Define the actual values for each.
Spike Volume Standard
Sample Volume Standard

See QC Methods → Define Additional Parameters for more information about defining these Parameters.

 

Expected Concentration Method

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Alternative to Expected Recovery.

Formula

E

=

v * C
V + v

where

E is the Expected Recovery
v is the volume of the Spike Sample
V is the volume of the Unknown Sample
C is the concentration of the parameter
x = Measured Difference in Concentration
 

=

SPV - U

where

SPV is the value of the Spike Sample
U is the concentration of the Unknown Sample

%R = Percent Recovery

QC Sample Type Spike
DataItem Generated Automatically adds a Data Item for each Parameter of the Spike with an Evaluate Param Type of "ExpectedRecovery".
Action Executed QCCalcSpikeConcMeth

Additional Parameters

Add the following Parameters for the QCCalcSpikeConcMeth calculation

Parameter Parameter Type Value
Define one Parameter for each of the Parameters to be tested. Concentration Define the actual values for each.
Spike Volume Standard
Sample Volume Standard

See QC Methods → Define Additional Parameters for more information about defining these Parameters.

 

% Difference

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Calculates percent difference between the recorded and actual value of a Control Sample.

Formula

P

=

100 (R * T)
T

where

P is the percent difference between the recorded and actual value.
R is the actual result
T is the expected result
QC Sample Type Control
DataItem Generated Automatically adds a Data Item for each Parameter of the Control with an Evaluate Param Type of "%Difference".
Action Executed QCCalcCtrlDifference

Additional Parameters

Add the following Parameters for the QCCalcCtrlDifference calculation

Parameter Parameter Type Value
Define one Parameter for each of the Parameters to be tested. Concentration Define the actual values for each.

See QC Methods → Define Additional Parameters for more information about defining these Parameters.

 

% Recovery

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Compares actual to Expected Recovery values of spiked and unspiked Samples.

Formula

%R

=

100

x
E

where

%R is the percent recovery
x is the mean of the actual recovery
E is the Expected Recovery:
For Spikes, this is calculated by the Expected Recovery calculation.
For Controls, this is the actual concentration from the Parameter information of the QC Sample Type.
QC Sample Type Control, Spike
DataItem Generated Automatically adds a Data Item for each Parameter of the Control or Spike with an Evaluate Param Type of "%Recovery".
Action Executed QCCalcCtrlPRecovery and QCCalcSpikePRecovery

Additional Parameters

Add the following Parameters for the QCCalcSpikePRecovery calculation

Parameters Parameter Type Value
Define one Parameter for each of the Parameters to be tested. Concentration Define the actual values for each.
Spike Volume (Spike Percent Recovery only) Standard
Sample Volume (Spike Percent Recovery only) Standard

See QC Methods → Define Additional Parameters for more information about defining these Parameters.

 

RPD

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Checks the difference between two results. This calculation accesses the "Link To" Sample defined by the QC Sample Type. The calculation executes when the linked Data Set is modified.

Formula

RPD

=

(100) (2)

|R1 * R2|
R1 + R2

where

RPD is the relative percent difference
R1 and R2 are the Sample and Duplicate results
QC Sample Type Duplicate
DataItem Generated Automatically adds a Data Item for each Parameter of the Duplicate with an Evaluate Param Type of "RPD".
Action Executed QCCalcRPD

Additional Parameters

No additional Parameters are needed.