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In the case of a homogeneity violation in any relevant variable of the study groups, the multivariate analysis will be performed (Multiple regression analysis).
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MANOVA results indicated either no difference or a significant difference in resident faunal composition between reefs, but were compromised by the inability to transform the data sufficiently to test for multivariate homogeneity violations even in analyses with reduced taxa numbers.
Thus, this would minimise a violation of homogeneity in two samples by randomisation.
To explore any difference between the hospitals and the number of teeth extracted, Kruskal Wallis was performed given the non-normal distribution and violation of homogeneity of variance.
The compositional deviation for A. kona is among the highest detected of all taxa (supplementary table S4, Supplementary Material online), indicating a substantial violation of homogeneity (Lartillot et al. 2009).
Patients with pain also rated their depression as making it harder to work or function than those without pain.> -wrap-foot> Note: p-values for comparison of frequencies are from omnibus Pearson chi-square test; p-values for comparison of means are from t-test; asterisk indicates p-value adjusted for violation of homogeneity of variance assumption.
Brown-Forsyth exact tests were used with ANOVA to compensate for violations of homogeneity of variance (IBM Corp 2013).
Particular attention will be given to homogeneity of regression assumption, violations of heteroscedasticity of errors and non-linearity.
Where necessary, variance structures were specified using the VarIdent function to address violations of homogeneity of variance (Zuur et al. 2009).
Items violating monotone homogeneity were removed from the analysis until no further violations were present, ensuring a unidimensional scale.
These are unlikely to arise due to violation of the homogeneity assumption.
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