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The data satisfied the criterion for equality of covariance of matrices (Box's test, P = 0.284, ns) and for equality of variances for each of the dependent variables (Levene's tests, ns).
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Data on labelling indices was either not normally distributed and/or did not satisfy criteria for equality of variance between groups (Levene's test).
More particularly, while Eudoxos' theory provides a contextual criterion for the equality of ratios, it does not provide for a definition of the ratios themselves, so that they are not conceived of as independent entities (Mueller 1981, Stein 1990, Cooke 2005).
In addition to specifying units, these definitions will implicitly specify a set of metric conventions – namely, criteria for determining equality among quantity intervals – for many kinds of quantity.
While, according to Leslie, women tend to do the communication work of questioning and laughing at jokes, contemporary women are likely to be looking for equality, which informs important criteria.
The test relies on a new characterization of equality between two k dimensional positive-definite matrices A and B: the traces of AB 1 and BA 1 are equal to k if and only if A = B. Using this criterion, we introduce a class of omnibus test statistics for equality of covariance matrices and examine their null, local, and global approximations under some mild regularity conditions.
Her party's election manifesto for the European Parliament elections specifically mentions that when it comes to meeting the E.U. criteria for membership — including equality between men and women, protection of minorities and freedom of religion — Turkey has "fulfilled" none of these conditions.
The urgency criterion is employed only if there is equality of the first criterion for at least two tasks.
"I'm for equality.
"I am for equality.
That is the fight for equality.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com