# Content Uniformity Acceptance Value Calculator

> Source: https://netray.co/tools/pharma-content-uniformity-acceptance-value-calculator
> Publisher: Netray (netray.co), AI and integration engineering for ERP and manufacturing systems.
> Section: Free Tools

## Short answer

Compute the acceptance value for content uniformity from sample mean and standard deviation and compare it with the L1 limit of 15.

## Category

quality

## Industry

Pharma and Life Sciences

## Audience

- QC analyst
- Formulation scientist
- QA

## Tool

**Kind:** calculator

**Inputs:**

#### Mean content, percent of label claim

**Key:** mean

**Type:** number

**Default:** 99.2

**Min:** 50

**Max:** 150

**Step:** 0.1

**Unit:** %

#### Standard deviation

**Key:** sd

**Type:** number

**Default:** 2.1

**Min:** 0

**Step:** 0.1

**Unit:** %

#### Number of units tested

**Key:** k

**Type:** select

**Default:** 2.4

**Options:**

##### 10 units (k = 2.4)

**Value:** 2.4

##### 30 units (k = 2.0)

**Value:** 2

#### Maximum allowed AV (L1)

**Key:** l1

**Type:** number

**Default:** 15

**Min:** 1

**Step:** 0.5

**Help:** 15.0 in the compendial tests for T equal to 100 percent.

**Outputs:**

#### Reference value M

**Key:** m

**Expr:** clamp(mean, 98.5, 101.5)

**Format:** decimal

**Description:** Applies when target content T is 100 percent of label claim.

#### Acceptance value

**Key:** av

**Expr:** abs(m - mean) + k * sd

**Format:** decimal

**Primary:** true

#### Pass indicator (1 pass, 0 fail)

**Key:** pass

**Expr:** if(lte(av, l1), 1, 0)

**Format:** integer

**Primary:** true

#### Headroom to limit

**Key:** headroom

**Expr:** l1 - av

**Format:** decimal

#### Largest SD that still passes at this mean

**Key:** max_sd

**Expr:** max(0, (l1 - abs(m - mean)) / k)

**Format:** decimal

**Chart:**

#### Acceptance value vs standard deviation

**Type:** line

**X:** sd

**From:** 0

**To:** 8

**Steps:** 32

**Series:**

- av

**Disclaimer:** Simplified for target content T equal to 100 percent. Compendial rules include further criteria for stage 2, individual unit limits and other targets. Confirm with the current official text.

## Content

**Intro:** Acceptance value is the number that decides whether a batch passes uniformity of dosage units by content. It combines how far the mean sits from the target with how scattered the individual results are.

**Sections:**

#### How to use it

**Body:** Enter the mean content as a percentage of label claim and the sample standard deviation, then choose how many units were tested. The calculator reports the acceptance value, whether it falls under 15, and how much standard deviation you could still afford at that mean. Use the chart to see how quickly a rising spread consumes the limit.

#### The formula

**Body:** AV = |M - mean| + k x s. M equals the mean if it lies between 98.5 and 101.5 percent. If the mean is below 98.5, M is 98.5, and if above 101.5, M is 101.5. The constant k is 2.4 for 10 units and 2.0 for 30 units. A mean of 99.2 with SD 2.1 gives AV near 5.0, a comfortable pass. A mean of 95 with SD 3 gives AV above 10.

#### Common mistakes

**Body:** Using population rather than sample standard deviation is the most common one: the sample SD divides by n minus 1. Others include entering results as absolute mg instead of percent of label claim, and forgetting that the individual unit limits (such as a unit more than 25 percent from M) still apply in the full test. Treat this as a screening aid for trending.

**Cta:** Netray can feed LIMS results and batch records into a single quality review view on your own infrastructure. Ask for an expert review.

**Faq:**

#### Is AV the only pass criterion?

**Answer:** No. The compendial test also limits individual units relative to M and moves to a second stage when the first fails. This calculator covers the main AV step only.

#### Why does k change with sample size?

**Answer:** Larger samples give a better estimate of the true spread, so the penalty factor on the standard deviation is smaller.

#### What if my target is not 100 percent?

**Answer:** The reference value M follows different rules for other targets. Use the official text for those cases.

#### Can I use it for blend uniformity?

**Answer:** It is useful as a trending screen, but blend uniformity criteria are set in your validation protocol and are not the same as dosage unit acceptance.

## Search terms

acceptance value calculator, content uniformity calculator, uniformity of dosage units USP 905, AV calculation Ph Eur 2.9.40, content uniformity acceptance value formula, blend uniformity pass fail, tablet assay uniformity

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