ISO 5725-3:2023
Accuracy (trueness and precision) of measurement methods and results — Part 3: Intermediate precision and alternative designs for collaborative studies
This document provides
a) a discussion of alternative experimental designs for the determination of trueness and precision measures including reproducibility, repeatability and selected measures of intermediate precision of a standard measurement method, including a review of the circumstances in which their use is necessary or beneficial, and guidance as to the interpretation and application of the resulting estimates, and
b) worked examples including specific designs and computations.
Each of the alternative designs discussed in this document is intended to address one (or several) of the following issues:
a) a discussion of the implications of the definitions of intermediate precision measures;
b) a guidance on the interpretation and application of the estimates of intermediate precision measures in practical situations;
c) determining reproducibility, repeatability and selected measures of intermediate precision;
d) improved determination of reproducibility and other measures of precision;
Get this standard
Prices exclude GST
PDF
( Single user document)
HardCopy
Networkable PDF
Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Symbols
5 General requirements
6 Intermediate measures of the precision of a standard measurement method
6.1 Factors and factor levels
6.1.1 Definitions and examples
6.1.2 Selection of factors of interest
6.1.3 Random and fixed effects
6.1.4 Statistical model
6.2 Within-laboratory study and analysis of intermediate precision measures
6.2.1 Simplest approach
6.2.2 Alternative method
6.2.3 Effect of the measurement conditions on the final quoted result
7 Nested design
7.1 Balanced fully-nested design
7.2 Staggered-nested design
7.3 Balanced partially-nested design
7.4 Orthogonal array design
8 Design for heterogeneous material
8.1 Applications of the design for a heterogeneous material
8.2 Layout of the design for a heterogeneous material
8.3 Statistical analysis
9 Split-level design
9.1 Applications of the split-level design
9.2 Layout of the split-level design
9.3 Statistical analysis
10 Design across levels
10.1 Applications of the design across levels
10.2 Layout of the design across levels
10.3 Statistical analysis
11 Reliability of interlaboratory parameters
11.1 Reliability of precision estimates
11.2 Reliability of estimates of the overall mean
11.2.1 General
11.2.2 Balanced fully-nested design (2 factors)
11.2.3 Staggered nested design (2 factors)
11.2.4 Balanced partially-nested design
11.2.5 Orthogonal array design
11.2.6 Split-level design
Annex A (informative) Fully- and partially-nested designs
Annex B (informative) Analysis of variance for balanced fully-nested design
Annex C (informative) Analysis of variance for staggered design
Annex D (informative) Analysis of variance for the balanced partially-nested design (three factors)
Annex E (informative) Statistical model for an experiment with heterogeneous material
Annex F (informative) Analysis of variance for split-level design
Annex G (informative) Example for split-level design
Annex H (informative) Design across levels
Annex I (informative) Restricted maximum likelihood (REML)
Annex J (informative) Examples of the statistical analysis of intermediate precision experiment
Annex K (informative) Example for an analysis across levels
Bibliography
Previous versions
Keep me up-to-date
Register to receive notifications when updates are made to this standard.
Related Information
Similar Standards
-
AS/NZS IEC 60706.5:2022
Maintainability of equipment, Part 5: Testability and diagnostic testing
-
AS/NZS IEC 60812:2020
Failure modes and effects analysis (FMEA and FMECA)
-
AS/NZS IEC 61123:2022
Reliability testing - Compliance test plans for success ratio
-
AS/NZS IEC 61649:2020
Weibull analysis
Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Symbols
5 General requirements
6 Intermediate measures of the precision of a standard measurement method
6.1 Factors and factor levels
6.1.1 Definitions and examples
6.1.2 Selection of factors of interest
6.1.3 Random and fixed effects
6.1.4 Statistical model
6.2 Within-laboratory study and analysis of intermediate precision measures
6.2.1 Simplest approach
6.2.2 Alternative method
6.2.3 Effect of the measurement conditions on the final quoted result
7 Nested design
7.1 Balanced fully-nested design
7.2 Staggered-nested design
7.3 Balanced partially-nested design
7.4 Orthogonal array design
8 Design for heterogeneous material
8.1 Applications of the design for a heterogeneous material
8.2 Layout of the design for a heterogeneous material
8.3 Statistical analysis
9 Split-level design
9.1 Applications of the split-level design
9.2 Layout of the split-level design
9.3 Statistical analysis
10 Design across levels
10.1 Applications of the design across levels
10.2 Layout of the design across levels
10.3 Statistical analysis
11 Reliability of interlaboratory parameters
11.1 Reliability of precision estimates
11.2 Reliability of estimates of the overall mean
11.2.1 General
11.2.2 Balanced fully-nested design (2 factors)
11.2.3 Staggered nested design (2 factors)
11.2.4 Balanced partially-nested design
11.2.5 Orthogonal array design
11.2.6 Split-level design
Annex A (informative) Fully- and partially-nested designs
Annex B (informative) Analysis of variance for balanced fully-nested design
Annex C (informative) Analysis of variance for staggered design
Annex D (informative) Analysis of variance for the balanced partially-nested design (three factors)
Annex E (informative) Statistical model for an experiment with heterogeneous material
Annex F (informative) Analysis of variance for split-level design
Annex G (informative) Example for split-level design
Annex H (informative) Design across levels
Annex I (informative) Restricted maximum likelihood (REML)
Annex J (informative) Examples of the statistical analysis of intermediate precision experiment
Annex K (informative) Example for an analysis across levels
Bibliography