Name: ISO/TS 17503:2015 — Statistical methods of uncertainty evaluation — Guidance on evaluation of uncertainty using two-factor crossed designs
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Abstract

Overview

ISO/TS 17503:2015 - "Statistical methods of uncertainty evaluation - Guidance on evaluation of uncertainty using two-factor crossed designs" provides practical guidance for estimating measurement uncertainty when experiments are conducted as balanced two‑factor crossed (two‑way) designs. The Technical Specification explains how to extract variance components from two‑way ANOVA, how to combine them to obtain the standard uncertainty for the mean of observations, and how to apply those variance estimates to other measurements (for example, single observations or relative measures such as apparent recovery).

Key topics

Scope: Balanced two‑factor crossed designs (with or without replication), with either or both factors treated as random effects or one as fixed (mixed models).
Variance component extraction: Use of classical ANOVA (equating expected mean squares) to obtain between‑factor, interaction and residual variances from two‑way designs.
Uncertainty estimation: Calculation of standard uncertainty for the mean of all observations and determination of effective degrees of freedom for uncertainty estimates.
Alternative estimation methods: Brief guidance on using REML (restricted/residual maximum likelihood) provided by software for variance component estimation.
Data review and diagnostics: Recommendations for checking outliers and approximate normality, and guidance for handling small numbers of missing data points.
Relative observations: Treatment of measurements expressed on a relative scale (e.g., apparent recovery in analytical chemistry).
Application to subsequent measurements: Using variance components extracted from a crossed experiment as uncertainty contributions for other measurements.

Applications and users

ISO/TS 17503:2015 is aimed at professionals who need robust, statistically sound uncertainty estimates from factorial experiments, including:

Metrologists and reference material producers characterizing mean values across units and runs.
Analytical chemists evaluating apparent recovery or relative measurement data.
Laboratory statisticians designing experiments to separate run‑to‑run and unit‑to‑unit variation.
Quality and compliance teams requiring documented uncertainty evaluation for reporting or accreditation.

Practical uses include estimating uncertainty on a reference value derived from crossed experiments; quantifying contributions from factors such as instrument runs, sample units or operators; and applying extracted variance components to the uncertainty of single observations or future studies.

Related standards

ISO 3534‑1, ISO 3534‑3 (statistical vocabulary and experimental design)
ISO 5725‑2 (precision of measurement methods - nested designs)
ISO 21748 (use of repeatability and reproducibility estimates) These complementary documents support terminology, nested‑design approaches and broader uncertainty evaluation practices referenced in ISO/TS 17503:2015.

ISO/TS 17503:2015 PDF

Похожие стандарты

Abstract

Overview

Key topics

Applications and users

Related standards

Технические детали

SIST ISO 3534-1:2008

Statistics - Vocabulary and symbols - Part 1: General statistical terms and terms used in probability

SIST ISO 3534-3:2014

Statistics - Vocabulary and symbols - Part 3: Design of experiments

SIST ISO 5725-2:2020

Accuracy (trueness and precision) of measurement methods and results - Part 2: Basic method for the determina…

SIST ISO 21748:2017

Guidance for the use of repeatability, reproducibility and trueness estimates in measurement uncertainty eval…