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By Dr Pramod Kumar Pandey - May 2, 2025

Dr Pramod Kumar Pandey BSc (Hons), MSc, PhD, founder of PharmaGuru.co, is a highly experienced Analytical Research Expert with over 31 years in the pharmaceutical industry. He has played a key role in advancing innovation across leading Indian and global pharmaceutical companies. He can be reached at admin@pharmaguru.co

Learn how to evaluate linearity and range in method validation with step-by-step procedures, a real-life case study, and answers to common FAQs. Gain the confidence to perform the test independently.

How To Perform Linearity and Range In Method Validation: Easy Tips

Linearity and Range in Method Validation: A Comprehensive Guide

Linearity and range in method validation are critical parameters, as they determine the concentration span over which accurate, precise, and reliable results can be obtained. Establishing these parameters ensures that the analytical method can effectively quantify the analyte across the intended range of concentrations. In this article, I will walk you through the procedure for evaluating linearity and range, supported by a detailed case study and a set of frequently asked questions (FAQs). By the end, you’ll have a clear understanding of the concept and be equipped to carry out the test confidently and independently.

Linearity and Range In Method Validation: Procedure

Linearity for Related substances test

Prepare two stock solutions A and B. Now prepare five solutions in the concentration range of 50% to 150% using stock solution A and B. Inject each of these five solutions (once) and generate the chromatogram. Plot the linearity graph using concentrations in the X axis and their corresponding area responses in the Y axis. Calculate correlation coefficient (R2) and slope. R2 should be more than or equal to 0.997

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Case studies

A drug substance D having the following specifications for related substances:

  • Impurity A NMT: 0.20%
  • Any unknown impurity NMT: 0.10%
  • Total impurity NMT 0.50%

Sample concentration is 1.0mg/ml to perform related substances test and QL of the method is 0.05%

The following concentrations (≥5) can be prepared to perform linearity:

Linearity Solution: Impurity A solution concentration for Linearity calculation

The level of linearity and value of impurity A and their corresponding concertation have been calculated in the following table

Level (L)Impurity value (I)
(0.20 x L/100 )
Impurity solution concentration
( 1000 x I/100)
QL(0.05%)0.05%0.5mcg/ml
50%0.10%1.0mcg/ml
70%0.14%1.4mcg/ml
100%0.20%
2.0mcg/ml
130%0.26%
2.6mcg/ml
150%0.30%
3.0mcg/ml
Impurity A level and their corresponding concentration

Inject Impurity A solution at each concentration as given in the above table and generate the chromatogram and note down the area response

Impurity A ( mcg/ml)Area response
0.515457
1.031904
1.443400
2.061830
2.680380
3.092750
Slope30746
Correlation coefficient (R2)0.9993 ≥ 0.997

Acceptance Criteria: R2 is 0.9993 ≥ 0.997 and it passes the linearity criteria

Range

Impurity A is linear between 0.05% to 0.30% (QL to 150% of the specification limit).

Linearity and range in method validation

Difference Between Linearity and Range in Analytical Method Validation

The difference between linearity and range in analytical method validation is fundamental yet often misunderstood. The following are the main differences between linearity and range:

Linearity

Definition:
Linearity refers to the ability of an analytical method to produce results that are directly proportional to the concentration of the analyte within a given range.

Key Points:

  • Demonstrates the method’s accuracy across different concentrations.
  • Evaluated using a calibration curve (plot of response vs. concentration).
  • Measured by correlation coefficient (r²), slope, and y-intercept.
  • Indicates how well the method can quantify varying amounts of the analyte.

Range

Definition:
Range is the interval between the upper and lower concentration levels of analyte (including these levels) for which the method has been demonstrated to have suitable precision, accuracy, and linearity.

Key Points:

  • Defined based on the linearity study.
  • Depends on the intended application of the method (e.g., assay, impurity testing).
  • Must include concentrations where acceptable precision and accuracy are achieved.
  • Expressed as a numerical interval (e.g., 50–150% of the target concentration).

Applications

The following of linearity are widely used in pharmaceutical analysis:

  • Defining suitable sample concentration for pharmaceutical analysis such as assay, related substances and content tests
  • Calculating accuracy
  • Calculating slope
  • Calculation intercept
  • Calculating unknown concentration from linearity equation
  • The following linearity equation is used to calculate unknown sample concentration from linearity curve:
Accuracy In Analytical Method Validation

Conclusion

Linearity and range are a key parameters in analytical method validation, as it defines the and concentration range over which the method produces accurate and precise results. Establishing linearity ensures the reliability of your analytical method across its intended application. If you have any suggestions or feedback regarding this article, feel free to share them in the comments section. For further assistance or inquiries, you can reach out through the contact form.

You may also want to check out other articles on my blog, such as:

FAQs

How To Perform Linearity and Range In Method Validation?

To perform linearity and range assessment in method validation, begin by preparing a detailed protocol, selecting appropriate calibration standards, and analyzing samples across a defined concentration range. Evaluate the resulting data to establish the method’s linearity and determine the accurate and reproducible range

What is difference between linearity and range in Analytical Method Validation?

Linearity shows how well the method performs across concentrations (the quality of the relationship) whereas Range defines where the method performs well (the span of usable concentrations)

References
  • FDA Guideline On AMV
  • https://www.chromatographyonline.com/view/limit-detection
  • https://database.ich.org/sites/default/files/Q2%28R1%29%20Guideline.pdf
Abbreviations
  • mcg: microgram
  • ml: milli liter
  • QL: Quantitation limit

Disclaimer: The numerical data used in the tables or calculations are not actual data. It is designed to explain the topic.

About Dr Pramod Kumar Pandey
Dr Pramod Kumar Pandey

Dr Pramod Kumar Pandey BSc (Hons), MSc, PhD, founder of PharmaGuru.co, is a highly experienced Analytical Research Expert with over 31 years in the pharmaceutical industry. He has played a key role in advancing innovation across leading Indian and global pharmaceutical companies. He can be reached at admin@pharmaguru.co

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