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The values of their respective squared correlations coefficients were 0.754 and 0.741.
Each of these averages was weighted by the inverse of the respective squared ICNIRP reference levels for the electric field strength.
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Regarding factor 3, the respective square root of AVE used as benchmarks for evaluating discriminant validity was at or slightly above the related correlation, yet with quite some overlap of the confidence intervals.
Table 4 shows the sum of squares being used to estimate the factors' effect and the F ratios, which are defined as the ratio of the respective mean-square-effect to the mean-square-error (Bingol et al. 2010).
The p-value is the combined p for the interaction terms of age-group with BMI and with BMI squared from the respective model including all age-groups.
Egyptians, Tunisians, Libyans and Syrians gathered in their respective city squares and neighborhood streets to demand democratic rights, and the Western world cheered, if with varying degrees of diplomatic or military support.
Similarly, the insets in K a and K b show the respective chi-square periodogram.
The only significant difference was observed in maternal active smoking during the first, second and third trimester of pregnancy (respective chi-square test P-value: 0.037; 0.037; 0.037).
Notice that the traces of these interaction matrices are equal to the respective mean squares of the Procrustes ANOVA as implemented by Klingenberg and McIntyre [ 13], and are simply the sum of (index FA4 in [ 39]) for each x and y coordinates of the corresponding aligned configurations divided by the shape dimension.
Rural Wyoming residents had higher antibody levels to O157 LPS than did Casper donors, who, in turn, had higher levels than did Seattle donors (respective least squares means: 0.356, 0.328, and 0.310; p<0.05, Seattle vs. Casper, p<0.001, rural Wyoming vs. either city).
Procrustes variances were obtained by summing the squared deviations from the respective sample means and dividing by the appropriate degrees of freedom.
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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