Application of ANOVA into the Evaluation of Homogeneity of Materials

The concept of homogeneity of materials and the aim for the evaluation of homogeneity were introduced. It was discussed in detail for the application of one-way ANOVA into the evaluation of homogeneity of materials and the role which a statistical quantity plays in the different range. It can be illustrated that a small F value is necessarily not considered as a criterion of qualified homogeneity. It was also pointed out that the inhomogeneity with sample may cause a small F value. Based on the theoretical explanation, an equation was given for the threshold value of small F. A calculation of the threshold value of small F occurring in the common experiments was made using the routines of numerical integration. An investigation into the origin of small F value was carried out. Moreover, the regional inhomogeneity and its criteria were also shown.