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GMP, GXP

Proof of process stability

The EU and FDA guidelines on process validation require that the process stability of manufacturing processes must be proven. How can this be achieved?

Control charts for evaluating process stability

A simple and effective way to analyze your data with regard to process stability is to display the results to be evaluated in control charts.

In contrast to the Excel charts usually used in process validations, the control chart does not contain any acceptance criteria, but statistical key figures that allow the current production to be compared with previous productions. For example, the plotted mean value of previous results can be used to identify mean value shifts in current production (see Fig. 1), while the display of warning and intervention limits allows the scattering of results to be evaluated (Fig. 2).

Calculation and practical significance of the intervention limits

The warning and intervention limits in control charts are calculated from the mean value and the standard deviation of the sample, which should comprise at least 30 data points.

This is based on the assumption that, in the case of a nominal distribution, 95 % of the values lie within the range of mean ± 2σσ and 99.7 % of all values lie within the range of mean ± 3σσ (see Fig. 3).

What does that mean?

If 100 values are entered in the control chart, no values outside the intervention limits may occur with an unchanged stable process and only 5 values may be in the range between the warning limit and the intervention limit.

If 1000 values are entered in the control chart, only 3 values will be outside the intervention limits if the process stability remains unchanged.

What else is important:

Setting intervention limits based on the results of only a few batches, e.g. three process validation batches, carries the risk of underestimating the “normal” inter-batch variability, i.e. the differences between the individual batches, so that the calculated intervention limits may not be sufficient. are too narrow. It therefore makes sense in this case to clearly state that the limits determined are provisional limits that will be adjusted in the further course of batch production as soon as further findings on inter-batch variability have been obtained.

By the way: By using control charts, you are using a statistical tool and thus already fulfilling the requirement for statistical analyses of your data!

If you have fewer than 30 data points from the production of previous batches, it makes more sense to carry out a purely visual evaluation of process stability based on diagrams without intervention limits, but with the reported acceptance criteria.

Read our entire blog: https://experts-institut.de/newsroom/
And feel free to follow us on LinkedIn: https://de.linkedin.com/company/expertsinstitut

18. February 2023/0 Comments/by Dipl. Ing. Wolfgang Rudloff
https://experts-institut.com/wp-content/uploads/2023/02/Prozessstabilitaet-BLOG.webp 378 575 Dipl. Ing. Wolfgang Rudloff https://experts-institut.de/wp-content/uploads/2023/02/GEMI_Logo_Slogan_color_RGB.webp Dipl. Ing. Wolfgang Rudloff2023-02-18 17:00:402024-10-29 07:59:27Proof of process stability
GMP, GXP

Sensible limit values for process capability

The calculation of the process capability in the form of the process capability index (Ppk or Cpk) sets the scatter of the individual results and the position of the mean value in relation to the specification limits. The higher the process capability index, the further away the individual results are from the specification limits.

Calculation of the process capability index:

The following parameters are included in the calculation of the process capability index:

  • Mean value (μ)
  • Standard deviation of the mean value (σ)
  • Upper and lower specification limit (OSG and USG)

The first step is to calculate the process capability indices “Cpo” and “Cpu” for the upper and lower specification limits:

Cpo = (OSG – μ)/(3σ) OSG = upper specification limit

Cpu = (μ – USG)/(3σ) USG = lower specification limit

Cpk = min(Cpo, Cpu)

In a second step, the lower value (Cpk = smallest process capability value) of the two values is selected:

The calculation of meaningful Cpk values is only possible from 25 – 30 individual values.

Sample calculation:

Investigated quality characteristic: content of a medicinal product

Specification limits: 95 – 105 mg

Average value: 98 mg

Standard deviation: 0.5 mg

Cpo = (105 mg – 98 mg)/(3×0.5 mg) = 4.7

Cpu = (98 mg – 95 mg)/( 3×0.5 mg) = 2.0

Cpk = min(Cpo, Cpu) = 2.0

But what do the Cpk values obtained mean?

Cpk = 1.00

If 1 million units are checked, 2699 faulty units would be found. The distance of the mean value to the next specification limit corresponds to 3 times the standard deviation (3σ) of the values.

Cpk = 1.33

If 1 million units are checked, 66 faulty units would be found. The distance of the mean value to the next specification limit corresponds to 4 times the standard deviation (4σ) of the values.

Cpk = 1.67

If 1 million units are checked, no faulty units would be found. The distance of the mean value to the next specification limit corresponds to 5 times the standard deviation (5σ) of the values.

Cpk = 2.00

If 1 million units are checked, no faulty units would be found. The distance of the mean value to the next specification limit corresponds to 6 times the standard deviation (6σ) of the values.

The limit values selected for the CpK value should be determined on a risk basis. This means that the more critical a quality characteristic is, the higher the acceptance criterion for the CpK value should be.

Read our entire blog: https://experts-institut.de/newsroom/
And feel free to follow us on LinkedIn: https://de.linkedin.com/company/expertsinstitut

18. February 2023/by Dipl. Ing. Wolfgang Rudloff
https://experts-institut.com/wp-content/uploads/2023/02/Blog-JK-061120-1-980x513-1.webp 513 980 Dipl. Ing. Wolfgang Rudloff https://experts-institut.de/wp-content/uploads/2023/02/GEMI_Logo_Slogan_color_RGB.webp Dipl. Ing. Wolfgang Rudloff2023-02-18 16:52:152024-10-29 07:59:27Sensible limit values for process capability
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