SOP on Rounding Off The Digits

Rahul Kashyap
0

Purpose
This SOP describes the procedure for rounding off the digits while calculating and preparing analytical reports.      
Scope
This procedure is applicable for  Research and Development Centre at “ABC Limited”.
Procedure:
  • Analytical results observed in the laboratory (calculated from experimental- Measurements) are compared with stated limits to determine whether there is Conformance with Compendial assay or test requirements.
  • The observed or calculated values for usually shall contain more significant figures than there are in the stated limit and an observed or calculated reporting result is to be rounded off to the number of places that is in agreement with the limit.
  • Limits which are fixed numbers are not rounded.
  • When rounding off is required, consider only one digit in the decimal place to the right of the last place in the limit expression. If this digit is smaller than 5, it is eliminated and the preceding digit is unchanged.
  • If this digit is greater than 5, it is eliminated and the preceding digit is increased by one. If this digit equals 5, the 5 is eliminated and the preceding digit is increased by one. Following are some examples:

The final reporting shall be done only up to the digit as given in limit:
Example:
If limit is                                -             95.0% to 110.0%  
Observed value is                -              95.0256%
Correct rounded value         -              95.0% (only one digit after decimal)
Single next digit from the limit, shall be considered for rounding:
Example:
If limit is                                 -             90.0% to 110.0%
Observed value is                 -             98.0592%
Correct rounded value           -             98.1%
First the calculation shall be done in mg/dosage form and finally in %.
In case of reporting is to be done in mg/dosage form, Do reporting up to two digits after decimal.
Example:
If label claim is 12.5mg/tablet, and limit 95.0% to105.0%.   
Calculated value: 12.4862 mg /tablet.
Rounded value: 12.49 mg/tablet, and in % : 99.9 %
If the observed value is less than 0.5%, the reporting shall be done in two digits after decimal (generally in case of RS testing).
Example:  If limit is NMT 0.5%
Observed value: 0.4569%  
Rounded value is 0.46 %
If the observed value is less than 0.1%, the reporting shall be done in two digits after decimal (generally in case of RS testing).
Example: If limit is NMT 0.1%
Observed value is 0.04456%
Rounded value is 0.04%
 In case of dissolution the reporting shall be done up to one digit after decimal:
Example: If limit NLT 80%
Observed value: 85.062%
Rounded value: 85.1%
In case of working standard preparation the final reporting shall be done up to two digits after decimal (for both mg and %)
If the result found in near limit or less then limit , then we follow the below table,

Illustration of rounding numerical values for comparison with requirements
Compendia requirement
Unrounded value
Rounded results
Conforms
Assay limit 98.0%
97.96%
98.0%
Yes
97.92%
97.9%
No
97.95%
98.0%
Yes
Assay limit 101.5%
101.55%
101.6%
No
101.46%
101.5%
Yes
101.45%
101.5%
Yes
Limit test 0.02%
0.025%
0.03%
No
0.015%
0.02%
Yes
0.027%
0.03%
No
Limit test 3 ppm
3.5 ppm
4 ppm
No
2.5 ppm
3 ppm
Yes
2.8 ppm
3 ppm
Yes


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