Declared measurement-study arithmetic

Gauge bias, linearity & stability

Inputs

Declared reference valuexrefunitReference used for the stated arithmetic; this workspace does not choose or certify it.

Observed study meanȳunitUser-entered study mean on the same basis as the declared reference.

Linearity pair 1 referencex₁unitOptional first declared reference; leave this and its observed field blank when unused.

Linearity pair 1 observed meanȳ₁unitOptional observed mean paired to the first declared reference.

Linearity pair 2 referencex₂unitOptional second declared reference; provided pairs must be contiguous.

Linearity pair 2 observed meanȳ₂unitOptional observed mean paired to the second declared reference.

Linearity pair 3 referencex₃unitOptional third declared reference; provided pairs must be contiguous.

Linearity pair 3 observed meanȳ₃unitOptional observed mean paired to the third declared reference.

Stability check · startyₛunitOptional first time-ordered check value; leave all stability values blank when unused.

Stability check · middleyₘunitOptional second time-ordered check value; checks must be contiguous.

Stability check · endyₑunitOptional third time-ordered check value; checks must be contiguous.

Results

Study bias

0.12

unit

Relative study bias

0.12

Declared linearity points

points

Linearity pair 1 bias

0.08

unit

Linearity pair 2 bias

0.12

unit

Linearity pair 3 bias

0.18

unit

Multi-point bias span

0.1

unit

Declared stability checks

checks

Time-ordered stability span

0.05

unit

Bias = ȳ − xref; multi-point span = max(ȳi−xi) − min(ȳi−xi); stability span = max(yt) − min(yt)

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Calculation snapshot

Gauge bias, linearity & stability

Formula version 1.0.0

Conditions

Declared reference value	100.00
Observed study mean	100.12
Linearity pair 1 reference	90
Linearity pair 1 observed mean	90.08
Linearity pair 2 reference	100
Linearity pair 2 observed mean	100.12
Linearity pair 3 reference	110
Linearity pair 3 observed mean	110.18
Stability check · start	100.10
Stability check · middle	100.12
Stability check · end	100.15

Calculated response

Study bias	0.12 unit
Relative study bias	0.12 %
Declared linearity points	3 points
Linearity pair 1 bias	0.08 unit
Linearity pair 2 bias	0.12 unit
Linearity pair 3 bias	0.18 unit
Multi-point bias span	0.1 unit
Declared stability checks	3 checks
Time-ordered stability span	0.05 unit

Method

Bias = ȳ − xref · multi-point span = max(ȳi−xi) − min(ȳi−xi) · stability span = max(yt) − min(yt)

Source

NIST measurement-process bias guidance: https://www.itl.nist.gov/div898/handbook/mpc/section4/mpc45.htm

Boundaries

Declared compatible measurement units
User-entered references and study means
Optional pairs represent stated study points
Time order is supplied by the user

This printout is a record of displayed inputs and deterministic formula output. It is not an approval, certification, or engineering conclusion.

Nearby: ISO 286 fits · Tolerance stack · Position deviation · MMC bonus & virtual condition

Method

Formula, when it applies, and when it does not

Calculate a mean-versus-reference bias, optional multi-point bias span, and optional time-ordered stability span without a calibration or acceptance decision.

Bias = ȳ − xref; multi-point span = max(ȳi−xi) − min(ȳi−xi); stability span = max(yt) − min(yt)

When

Declared compatible measurement units
User-entered references and study means
Optional pairs represent stated study points
Time order is supplied by the user

Don’t

This is literal arithmetic on user-entered reference/mean pairs and time-ordered check values. It does not choose or certify a reference, infer uncertainty, apply acceptance limits, make a conformance decision, substitute for calibration, evaluate drift causes, approve a measurement system, or release a product.

NIST measurement-process bias guidance