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How many vials from an SGN lot should I send for a quantified content assay?

Asked 7 Sept 2024Modified 20 months agoViewed 45k times
30

Details up front: SGN · a quantified content assay.

This should be a straightforward calculation and I keep getting two different answers.

The numbers are arbitrary; the method is what I am after.

What is the general form of this calculation?

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askednoor_alhassan15k287 Sept 2024
4The arithmetic checks out. I ran the same numbers and got the same result. – rosa_mendieta 2 days ago
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5 Answers

Accepted answer first, then by votes
69

Accepted answer

Specifically, the practical consequence is that spot-testing one vial from a new supplier is better than assuming they are all the same.

If you have reason to suspect inhomogeneity — different appearance in different vials, or a long or warm shipment — testing more vials is the diagnostic move.

Stated carefully, the sample size determination requires choosing a confidence level and an acceptable error rate, and the smaller the error rate you want, the larger your sample must be.

Sampling plans for pharmaceutical manufacturing are defined in ISO 2859 and ANSI Z1.4, and they are based on statistical sampling theory.

Assume segregation is possible, and design your sampling to catch it if it exists.

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DV
answered · acceptedDr_Ilse_Vandenberg78k24820 Nov 2024
Related: the same reasoning applies to the counter-ion question. – Dr_Ingrid_Baumgartner 6 months ago
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75

The single most misleading statement on a research-grade certificate is a lot number with no statement of how many vials from that lot were tested.

If the lot was manufactured in multiple batches, testing vials from each batch separately establishes whether batch-to-batch variation is acceptable.

It helps to be literal here: testing a vial that has been open in the lab for three months is testing aged material, not the fresh lot, and the result should be explicitly noted as a retest.

If testing multiple vials, state how many you tested and why you chose those vials.

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DR
answeredDr_Priya_Raghunathan94k24828 Oct 2024
51

Sampling plans exist precisely because testing everything is expensive, and they define the statistical relationship between sample size and lot-wide inference.

The statistical foundation here is well-established, which is why sampling plans from decades ago are still valid.

For a quantitative result like content, the acceptable range determines how many vials you need to test to establish the lot complies.

The practical summary: a lot number without a sampling statement is a lot number without meaning.

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DC
answeredDr_Idris_Coulibaly40k13817 Oct 2024
33

If a lot has visibly segregated — some vials showing different appearance — then sampling the top and bottom of the shipment is worth doing.

Acceptance Sampling by Attributes defines the number of samples you need from a lot to claim a specified quality level at a specified risk — it is in ANSI standard Z1.4.

Published data on lot homogeneity from manufacturers who sample multiple vials consistently find variation below the published specifications, suggesting the sampling plans work.

Assume segregation is possible, and design your sampling to catch it if it exists.

edited 8 Dec 2024 by Dr_Tomas_Kral — fixed an arithmetic slip in the third paragraph

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DK
answeredDr_Tomas_Kral37k388 Nov 2024
28

Start from the question: how many vials from this lot do I need to test to claim that the lot meets specification, and the answer depends on both the lot size and the acceptable risk.

If the entire lot failed qualification, a retest on a different vial is sometimes done, but reporting a retest result under the same lot number is misleading.

If testing multiple vials, state how many you tested and why you chose those vials.

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BD
answeredb_delacroix48k3814 Sept 2024
4Note that the label instructions differ between agents on precisely this point. – Dr_Colm_Fitzhenry 8 months ago
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