This requires us to unite in the common defense of each other's respective religious freedom rights.
The governors of Arkansas and Indiana on Thursday quickly signed revised versions of their respective religious freedom laws, hoping to quell a national uproar that united business leaders and gay rights activists who fought the measures as potentially discriminatory.
For data analysis, UNIREP tests differ only by their respective degrees of freedom due to different degrees of freedom multipliers, which measure sphericity in the error covariance for the hypothesis variables.
"You can project your interests, but you must give the respective countries the freedom to make choices".
Also, three lines indicating the limiting densities with the respective degrees of freedom have been superimposed (red lines).
The value of the mean squares is calculated by dividing the sum of squares of each variable by their respective degree of freedom.
The mean squares were obtained by dividing the sum of the squares of each of the variable sources, the model and the error variance, by the respective degree of freedom.
The hypotheses (text{H}_{0}: sigma ^2_{hat{beta }_{jgz.g}}=t) are then tested with (chi ^2_v = vs^2_{hat{beta }_{jgz.g}}/t), where (v=4-1) are the respective degrees of freedom for this test.
where Sr2 and Se2are mean of the model and residuals square respectively, obtained by dividing the sum of squares of each of the two sources of variation, the model, and the error variance, by the respective degrees of freedom (DF) [27].
In order to compare the bootstrap distributions with the according limiting ones, we used the Kolmogorov-Smirnov (K-S) test (cf. Thode 2002, ch. 5.1.1) to test the null hypothesis that the bootstrap distributions follow a χ 2-distribution with the respective degrees of freedom (i.e. 4 in the 5-items designs, 9 in the 10-items designs, and 14 in the 15-items designs).
