What I am working with: 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?
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.
Analytical standards and reagents with traceable certificates. Every quantitative result you read inherits the accuracy of the standard behind it.
Shop standardsThe 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.
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.
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.
If you only pay for one test, pay for quantified content. Purity is the number everyone quotes and content is the number that changes what you do.
edited 8 Dec 2024 by j_wierzbicki — fixed an arithmetic slip in the third paragraph
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.
In practice: ask for the chromatogram, check the method section, check the lot number against the vial, and set your accept threshold before you see the result rather than after.
Ask PeptideStack is a static archive. Posting is closed, but the norms are worth stating: answer the question that was asked, show your working, cite the trial or the certificate, and say plainly where the evidence runs out.