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Wald statistics to test the main effect coefficients and the interaction effects [41].
It is however surprising that the direction of the main effect coefficients (β1 and β2) were in the same direction while the interaction effect was in the opposite direction.
However, their conclusions might be due to the misinterpretation of main effect coefficients in the presence of interactions.
Time trend main effect coefficients are negative with positive squared term coefficients (both highly significant) – a finding consistent with the descriptive results presented in the last seven years of Figure 1.
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The result shows that the main effect coefficient of gender is −0.25 and has no statistical significance.
(5) The significance of the original model is assessed by identifying the proportion of resampled coefficients of the main effect that are more extreme than the original model's main effect coefficient.
Covariates were selected for these analyses if they were related to conditions of testing or related to neurobehavior in the literature and/or associated with more than one outcome (p < 0.10 or changes to the main effect coefficient by ≥ 10%).
The model used in this study was: This model includes the overall mean of gene expression (μ g), the main effects coefficients (A, B, C, D), the two-way interactions (AB, BC, CD, AC, BD, AD), the three-way interactions (ABC, BCD, ABD, ACD), the four-way interaction (ABCD), and the error term.
In this table each main-effect coefficient represents a difference in expression from the group comprised of N-bicluster 9 exclusive and N/H bicluster 6 genes under KCl treatment.
Using our "main effects" model coefficients, we estimate that a one standard deviation increase in OHL (5.3 REALD-30 units) corresponds to a 9% decrease in OHIP-14 severity [PRR (95% CL) = 0.91 (0.98, 0.98)], whereas (using race-specific estimates from Table 3) this decrease is more pronounced (14%) among AA [PRR (95% CL) = 0.86 (0.96, 0.96)].
Table 3 displays the main factors' effect, factors' interaction effect, coefficients of the model, standard deviation of each coefficient and the probability as well as Student's t test values for each effect for the full 23 factorial design.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com