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Freebase(0.00 / 0 votes)Rate this definition: Homogeneity. In general, homogeneity is defined as the quality or state of being homogeneous. It also means having a uniform structure throughout. For instance, a uniform electric field would be compatible with homogeneity.
The Assumption of Homogeneity of Variance. The assumption of homogeneity of variance is an assumption of the independent samples t-test and ANOVA stating that all comparison groups have the same variance. The independent samples t-test and ANOVA utilize the t and F statistics respectively, which are generally robust to violations of the assumption as long as group sizes are equal.