method validation - linearity

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METHOD VALIDATION PREPARED BY : SUBRATA SINHA (SENIOR ANALYST) SIGMA TEST & RESEARCH CENTRE www.sigmatest .org

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Page 1: Method Validation - Linearity

METHOD VALIDATION

PREPARED BY : SUBRATA SINHA

(SENIOR ANALYST) SIGMA TEST & RESEARCH CENTRE

www.sigmatest.org

Page 2: Method Validation - Linearity

LINEARITYDefinition:- Linearity is a

mathematical relationship between two variable quantities (they may be of the same unit), which are directly proportional to each other.

Graphically it represents a straight line when plotted against each other.

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Page 3: Method Validation - Linearity

GRAPHICAL PRESENTATION OF LINEARITY

0 10 20 30 40 50 60 700

100

200

300

400

500

600

700

f(x) = 10.1071428571429 x − 2.38095238095241R² = 0.999724965058912

Linearity Graph

X-axis

Y-ax

is

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Page 4: Method Validation - Linearity

NEEDNESS OF LINEARITYNON –LINEAR APPROCH LINEAR APPROCH

END TIME END TIME 25 min 35 min

25 min 45 min

15 min 35 min

15 min 35 min

10 min 20 min 10 min 30 min

START TIME START TIME www.sigmatest.org

Page 5: Method Validation - Linearity

NEEDNESS OF LINEARITYFrom the above graphical presentation of non-

linear and linear, We can definitely say that in the linear case we need only one variable value and the other variable value can be accurately determined. But in the case of non-linear we cannot accurately (definitely) determine the other variable’s value, even when one of the variable’s value is known.

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Page 6: Method Validation - Linearity

ROLE OF LINEARITY IN ANALYTICAL METHOD VALIDATION

The linearity of an analytical method is it’s ability to elicit test results that are directly proportional to the concentration of the analyte in samples within a given range.This is why to check the proportionality of result with concentrations, it is necessary to justify the linearity between LOWER Concentration & UPPER Concentration.

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Page 7: Method Validation - Linearity

DEFINITION OF SOME PARAMETERS RELATED TO LINEARITYLower Concentration:- LOQ is the lower concentration i.e.

starting point of the linearity in analytical method validation. Upper Concentration:- Cmax value is the upper concentration

of the linearity in analytical method validation. But it may be lower according to available quantity of the analyte in sample.

Cmax is a pharmacokinetics term. It is the maximum (or peak) serum concentration that an analyte achieves in a specified test area of the body after the analyte has been administrated.

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Page 8: Method Validation - Linearity

JUSTIFICATION OF LINEARITYThe strength & direction of the linear relationship

between two variable quantities is termed as correlation coefficient. It is denoted by r.

Mathematically it is expressed by r2, i.e. square of r, which is called coefficient of determination. The coefficient of determination (r2) ranges from 0 to 1. The range of r2 denotes how straight the line is.

Accepted value of r2 is NLT 0.95

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Page 9: Method Validation - Linearity

The End of Linearity Chapter

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