Application of ANOVA into the Evaluation of Homogeneity of Materials

Ri Bo Ning; Qian Li; Song Ning Xu

doi:10.4028/www.scientific.net/AMM.716-717.57

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 716-717Application of ANOVA into the Evaluation of...

Application of ANOVA into the Evaluation of Homogeneity of Materials

Abstract:

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.

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Periodical:

Applied Mechanics and Materials (Volumes 716-717)

Pages:

57-62

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.716-717.57

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Online since:

December 2014

Authors:

Ri Bo Ning*, Qian Li, Song Ning Xu

Keywords:

ANOVA, Evaluation of Homogeneity, Small F Value, Threshold Value of Small F

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DOI: 10.4028/www.scientific.net/amr.490-495.3628

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