BS ISO 5725-5:1998

1 Scope
2 Normative references
3 Definitions
4 Split-level design
  4.1 Applications of the split-level design
  4.2 Layout of the split-level design
  4.3 Organization of a split-level experiment
  4.4 Statistical model
  4.5 Statistical analysis of the data from a split-level
       experiment
  4.6 Scrutiny of the data for consistency and outliers
  4.7 Reporting the results of a split-level experiment
  4.8 Example 1: A split-level experiment -
       Determination of protein
5 A design for a heterogeneous material
  5.1 Applications of the design for a heterogeneous
       material
  5.2 Layout of the design for a heterogeneous material
  5.3 Organization of an experiment with a heterogeneous
       material
  5.4 Statistical model for an experiment with a
       heterogeneous material
  5.5 Statistical analysis of the data from an experiment
       with a heterogeneous material
  5.6 Scrutiny of the data for consistency and outliers
  5.7 Reporting the results of an experiment on a
       heterogeneous material
  5.8 Example 2: An experiment on a heterogeneous material
  5.9 General formulae for calculations with the design
       for a heterogeneous material
  5.10 Example 3: An application of the general formulae
6 Robust methods for data analysis
  6.1 Applications of robust methods of data analysis
  6.2 Robust analysis: Algorithm A
  6.3 Robust analysis: Algorithm S
  6.4 Formulae: Robust analysis for a particular level
       of a uniform-level design
  6.5 Example 4: Robust analysis for a particular level
       of a uniform-level design
  6.6 Formulae: Robust analysis for a particular level
       of a split-level design
  6.7 Example 5: Robust analysis for a particular level
       of a split-level design
  6.8 Formulae: Robust analysis for a particular level
       of an experiment on a heterogeneous material
  6.9 Example 6: Robust analysis for a particular level
       of an experiment on a heterogeneous material
Annexes
A (normative) - Symbols and abbreviations used in ISO 5725
B (informative) - Derivation of the factors used in algorithms
                  A and S
C (informative) - Derivation of equations used for robust
                  analysis
D (informative) - Bibliography

Gives detailed descriptions of alternatives to the basic procedure for determination of the repeatability and reproducibility standard deviations of a standard measurement procedure, i.e. the split-level design and a design for heterogeneous materials, and covers the use of robust procedures for analyzing the results of precision experiments without the use of outlier tests to exclude data from the calculations, especially the detailed use of one such procedure.

This part ofISO5725

• provides detailed descriptions of alternatives to the basic method for determining the repeatability and reproducibility standard deviations of a standard measurement method, namely the split-level design and a design for heterogeneous materials;

• describes the use of robust methods for analysing the results of precision experiments without using outlier tests to exclude data from the calculations, and in particular, the detailed use of one such method.

This part ofISO5725 complements ISO5725‑2 by providing alternative designs that may be of more value in some situations than the basic design given in ISO5725‑2, and by providing a robust method of analysis that gives estimates of the repeatability and reproducibility standard deviations that are less dependent on the data analyst\'s judgement than those given by the methods described in ISO5725‑2.