The Sampling Plan in Quality Control (2024)

We often talk about how important inspections are to the manufacture of small metal parts, helping to ensure the quality of components that make up thousands, if not millions, of products.

Yet, 100% inspection eats up significant time and cost — plus it still does not guarantee 100% compliance. That is why manufacturers and their customers rely on asampling plan in quality control (QC).

Good Reasons to Use Sampling Plans for Inspection

Visual inspections — whether with the naked eye or using sophisticated optical tools — are done to detect a variety of surface finish issues in metal parts, from corrosion and contamination to cracks and surface irregularities.

But given the large quantities that most manufacturers work with, it is impractical to spend the amount of time and significant money required to look at 100% of the parts in every lot. For example, here at Metal Cutting Corporation, we routinely produce lots consisting of 100,000 parts.

Inspecting such a large lot, it is also easy to make an error. Put a part in the wrong bin, have a micrometer placed slightly off when measuring, or just blink — any of these can mean missing some defect that would have an impact on end product performance.

In addition, even with a range of very precise tools available for inspecting parts, it is impossible to examine every tiny segment of a part’s surface. That means even if you do 100% inspection, it is not precisely 100%.

By definition, asampling planis a statistical method of determining whether to accept or reject a lot of material that is being produced. With a QC sampling plan, a relatively small number of pieces from the lot are inspected to determine if the entire lot will be accepted or rejected based on the number of defective pieces in the sample.

AQL in Quality Control Sampling

At Metal Cutting, experience has shown us that inspecting a small portion of the parts in a lot is not only faster and more cost-effective — it also allows us to pay closer attention to the inspection process. With every piece in the sample being more carefully inspected, the likelihood of errors or of simply missing something is reduced.

Best of all, a quality sampling plan provides statistically valid results and high confidence that if the sample is defect-free, the entire lot will meet the customer’s requirements for anAcceptable Quality Level (AQL).

Statistically, AQL is a measure of the maximum number of defective goods that would be considered acceptable in a particular sample size. It corresponds to the percentage of a production run that can be rejected before some corrective action must be taken.

The higher the AQL, the fewer the number of parts that will be inspected. This means with a lot size of 100,000 pieces, for example, 123 pieces would be inspected at AQL 0.4, but only 29 pieces would be inspected at AQL 4.0.

The Standards for Sampling Plans

In sampling plans, the number of pieces to be inspected and the acceptable number of defective pieces in a sample are usually based on AQLs and index values included in published standards such as ANSI/ASQ Z1.4-2008, from the American National Standards Institute (ANSI)/American Society for Quality (ASQ).

You can also find lot and sampling size values and other technical information in the bookZero Acceptance Number Sampling Plans, Fifth Edition, by Nicholas L. Squeglia.

Here at Metal Cutting, we prefer to inspect metal parts using the standardAQL 1.0 c=0, which is azero acceptance sampling planfrom Squeglia’s book. This plan dictates how many randomly selected parts we will inspect, depending on the lot size, to statistically assure that all parts are of acceptable quality.

Using the Zero Acceptance AQL 1.0 C=0 Sampling Plan

Statistically speaking, N is the population of total parts, n is the sample size, and c is the amount of bad parts that will be allowed. So, a c=0 sampling plan simply means that if one defect is found among the sample size (n), the entire lot (N) is either rejected or subject to 100% inspection.

The associated AQL determines how many randomly selected parts will be inspected, based on the total lot size. For example, employing an AQL index value of 1.0 as our standard, we would inspect:

  • A random sampling of 50 parts in a lot size of 5,000 small metal parts
  • A random sampling of 74 parts In a lot size of 100,000 pieces

Using our preferred zero acceptance sampling plan AQL 1.0 c=0, if justonerandomly selected part in the sample fails inspection, then the entire lot is rejected or 100% inspection must be performed for the failed characteristic. If the entire sample passes inspection, then the entire lot is accepted

When to Use a Sampling Plan in Quality Control

At Metal Cutting, where we produce thousands of small metal parts every day, we like to say that inspecting parts for quality is part of our DNA. So, we typically begin every project with a sampling plan that spells out the specifics of metal parts inspection, including the associated AQL and index values.

By providing this level of detail, with strict guidelines for parts inspection, we find that sampling plans help us ensure acceptable quality levels and cost-effectiveness.

Because ofour quality commitment, we don’t just inspect final parts at the end of manufacturing, prior to packaging and delivery.Rather, our process includes QC sampling at various stages.

This includes receiving, where we take in and inspect not just our raw material but also any customer-supplied materials that we will be using to make a part. We also do QC sampling at a designated step (or steps) during production — and of course, at the end.

This enables us to be sure that quality is tightly controlledthroughout the process.

Of course, sampling plans are not perfect either, so there may be one or two imperfect parts in a lot of 100,000. That’s where other statistical tools can be brought into the process.

For example, a customer might ask for a Cpk value of 1.33 or better, to ensure that (statistically speaking) the parts are close to the nominal value rather than the upper or lower limits of the specifications for tolerance.

If the customer has very tight tolerances and is using the maximum capabilities of a machine, then Cpk is not the best option. That’s because the entire tolerance range will need to be used to meet the tight specification.

However, with a looser tolerance range, the Cpk statistic can be used to show conforming processes and outcomes.

Why We Prefer the AQL 1.0 C=1 Sampling Plan

Sometimes customers request a different AQL level, such as 0.4 (vs. 1.0), which will increase the number of sample parts to be inspected and, in turn, add to the cost of inspection.

In addition, customers might request different types of sampling plans, such as one based on standards created by ANSI, which requires larger sample sizes but allows for some parts to be out of spec. For example, an ANSI/AQL Z1.4–2008 chart specifies that in a normal sampling plan with a lot size of 5,000 pieces, an AQL of 1.0, and inspection level II:

  • The random sample size would be 200 pieces
  • The lot could be accepted with up to five sampled parts out of spec
  • The lot would be rejected and subject to 100% inspection only if six or more parts were out of spec

However, we find that our preferred standard, AQL 1.0 c=0, is a more efficient and cost-effective sampling plan. By allowing us to inspect fewer parts without increasing the statistical probability of rejectable parts, AQL 1.0 c=0 helps us provide a high level of quality assurance while reducing inspection costs.

In addition, shipping a lot that we know will include bad parts runs counter to our quality goal, which is to have ZERO inspected parts out of spec. That makes a zero acceptance sampling plan the best fit for both our business and our customers’ needs.

Statistical Validity Wins the Day

In the end, with a statistically valid sampling plan, we can inspect a smaller number of pieces more carefully and give customers a high level of confidence that if the sample is acceptable, the entire lot is acceptable.

Again, you can find lot and sampling size values and other technical information about QC sampling plans — as well as documentation about the validity of AQL c = 0, the sampling plan that Metal Cutting highly recommends — in Squeglia’s book (cited above).

But whatever inspection methods and sampling plans you decide to use, it is important to include this information in your specifications and your request for a project estimate. That way, your manufacturing partner can make recommendations and provide an accurate and timely quote — one that includes inspection in the total cost of your metal parts.

You can learn more about specifying your requirements for parts inspection, as well as for metal parts cutting and finishing for your small metal parts application, by downloading a free copy of our comprehensive guide,How to Fine-Tune Your Quote Request to Your Maximum Advantage: Frequently Asked Questions in Small Parts Sourcing.

The Sampling Plan in Quality Control (2024)

FAQs

The Sampling Plan in Quality Control? ›

It's a method that helps manufacturers decide on the level of quality that is acceptable for their products. The plan is characterized by two factors: the sample size and the acceptable number of defects. The sample size is the number of items to inspect from a larger lot or batch of items.

What is the sampling procedure in quality control? ›

In sampling inspection, samples are taken from a target lot (inspection lot) for examination in order to determine the acceptability of the lot according to that lot's quality standards. Thanks to the small number of items to be inspected compared to 100% inspection, manufacturers can save on inspection costs and time.

What is in a sampling plan? ›

A sampling plan is a detailed outline of which measurements will be taken at what times, on which material, in what manner, and by whom.

Which sampling method is best for quality control? ›

Random sampling is the simplest and most widely used sampling technique for GMP quality control. It involves selecting a sample from a population or a batch without any bias or preference. Random sampling ensures that every unit has an equal chance of being selected, and that the sample is representative of the whole.

What is sample quality control? ›

Quality control sample or "QC sample" means a sample used to assess the performance of all or a portion of the measurement system. QC samples may be certified reference materials, a quality system matrix fortified by spiking, or actual samples fortified by spiking. (

What is a sampling plan in QC? ›

Sampling plans are methods of selecting a subset of items or units from a population or a lot for quality inspection. They help you determine how many samples you need to check, what criteria you should use to accept or reject the lot, and what level of confidence you can have in your decision.

What is QA QC sampling? ›

QA/QC involves a series of checks and balances throughout the sampling process, from the selection of the sample to the final analysis. The goal of QA/QC is to identify and correct any sources of error or bias in the process, and to provide a high level of confidence in the results.

What is an aql sampling plan? ›

AQL (Acceptable Quality Limit) Sampling is a method widely used to define a production order sample to determine if the entire product order has met the client's specifications. Based on the sampling data, AQL standard can help the customer can make an informed decision to accept or reject the lot.

What is simple sampling plan? ›

Simple random sampling involves the study of a larger population by taking a smaller subset. This subgroup is chosen at random and studied to get the desired result. In order for this sampling method to work, the researcher must know the size of the larger population. The selection of the subset must be unbiased.

Why is sampling important in quality control? ›

As a measure of quality control, acceptance sampling inspects a small number of available products in order to infer the quality of all other units produced. This is the sampling part, where a small number of units are randomly selected from the population of available units.

What is a good sample size for quality control? ›

A good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000. For example, in a population of 5000, 10% would be 500. In a population of 200,000, 10% would be 20,000.

What are the different types of samples in QC? ›

The primary types of quality control samples used to evaluate and control the accuracy of laboratory analyses are check standards, duplicates, spikes, and blanks. The most important of these in evaluating analytical precision and bias is the check standard; commonly referred to as a laboratory control sample.

How to do sampling for quality? ›

How to do it? Random number tables. Use a random number table to give a random number to each item in the population, then order the random numbers from smallest to largest and choose the first n in order of magnitude. This assumes no two values are equal.

How to prepare a QC sample? ›

QC technicians must first remove an aliquot and, through a series of dilutions, prepare a sample with the right concentration for injection. Not only is this process time consuming, but measurements involved in dilution introduce potential errors in back-calculating concentrations and yields.

What is a sample in QA? ›

QA Sample means a percentage of samples that are hom*ogenized (except samples for volatiles testing, which are co-located), split given a unique sample identification, and sent to a primary contract laboratory and to a contract QA chemistry laboratory for analysis.

What is the procedure of sampling? ›

Sampling can be done by two techniques: probability (random selection) or non-probability (non-random) technique. Now, if the sampling frame is approximately the same as the target population, random selection may be used to select samples.

What is the sampling process in control system? ›

In the context of control and communication, sampling is a process by which a continuous time signal is converted into a sequence of numbers at discrete time intervals. It is a fundamental property of digital control systems because of the discrete nature of operation of digital computers.

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