This Technical Specification describes the estimation of uncertainties on the mean value in experiments conducted as crossed designs, and the use of variances extracted from such experiments and applied to the results of other measurements (for example, single observations).<\/p>\n
This Technical Specification covers balanced two-factor designs with any number of levels. The basic designs covered include the two-way design without replication and the two-way design with replication, with one or both factors considered as random. Calculations of variance components from ANOVA tables and their use in uncertainty estimation are given. In addition, brief guidance is given on the use of restricted maximum likelihood estimates from software, and on the treatment of experiments with small numbers of missing data points.<\/p>\n
Methods for review of the data for outliers and approximate normality are provided.<\/p>\n
The use of data obtained from the treatment of relative observations (for example, apparent recovery in analytical chemistry) is included.<\/p>\n
| PDF Pages<\/th>\n | PDF Title<\/th>\n<\/tr>\n | ||||||
|---|---|---|---|---|---|---|---|
| 6<\/td>\n | Foreword <\/td>\n<\/tr>\n | ||||||
| 7<\/td>\n | Introduction <\/td>\n<\/tr>\n | ||||||
| 8<\/td>\n | 1\tScope 2\tNormative references 3\tTerms and definitions <\/td>\n<\/tr>\n | ||||||
| 9<\/td>\n | 4\tSymbols <\/td>\n<\/tr>\n | ||||||
| 11<\/td>\n | 5\tConduct of experiments 6\tPreliminary review of data \u2014 Overview 7\tVariance components and uncertainty estimation 7.1\tGeneral considerations for variance components and uncertainty estimation <\/td>\n<\/tr>\n | ||||||
| 12<\/td>\n | 7.2\tTwo-way layout without replication 7.2.1\tDesign 7.2.2\tPreliminary inspection 7.2.3\tVariance component estimation <\/td>\n<\/tr>\n | ||||||
| 13<\/td>\n | 7.2.4\tStandard uncertainty for the mean of all observations 7.2.5\tDegrees of freedom for the standard uncertainty <\/td>\n<\/tr>\n | ||||||
| 14<\/td>\n | 7.3\tTwo-way balanced experiment with replication (both factors random) 7.3.1\tDesign 7.3.2\tPreliminary inspection 7.3.3\tVariance component extraction <\/td>\n<\/tr>\n | ||||||
| 15<\/td>\n | 7.3.4\tStandard uncertainty for the mean of all observations <\/td>\n<\/tr>\n | ||||||
| 16<\/td>\n | 7.3.5\tDegrees of freedom for the standard uncertainty <\/td>\n<\/tr>\n | ||||||
| 17<\/td>\n | 7.4\tTwo-way balanced experiment with replication (one factor fixed, one factor random) 7.4.1\tDesign 7.4.2\tPreliminary inspection <\/td>\n<\/tr>\n | ||||||
| 18<\/td>\n | 7.4.3\tVariance component extraction 7.4.4\tStandard uncertainty for the mean of all observations <\/td>\n<\/tr>\n | ||||||
| 19<\/td>\n | 7.4.5\tDegrees of freedom for the standard uncertainty 8\tApplication to observations on a relative scale 9\tUse of variance components in subsequent measurements <\/td>\n<\/tr>\n | ||||||
| 20<\/td>\n | 10\tAlternative treatments 10.1\tRestricted (or residual) maximum likelihood estimates 10.2\tAlternative methods for model reduction 11\tTreatment with missing values <\/td>\n<\/tr>\n | ||||||
| 21<\/td>\n | Annex\u00a0A (informative) Examples <\/td>\n<\/tr>\n | ||||||
| 26<\/td>\n | Bibliography <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":" Statistical methods of uncertainty evaluation. Guidance on evaluation of uncertainty using two-factor crossed designs<\/b><\/p>\n |