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The actual locked fractions are shown with red colour and the estimation without the regression terms with a blue colour.
Estimated conditional quantile functions may violate the monotonicity principle, with ( {upeta}_{{mathrm{q}}_1mathrm{i}}>{upeta}_{{mathrm{q}}_2mathrm{i}} ) when q1 < q2 for some covariate combinations, or random effect values if the regression terms ηqi include random effects.
This analysis shows that all the regression terms, that is, linear, square, and interaction, were statistically highly significant (P = 0.000).
Updating location parameters (intercept and marker effects) requires forming offsets obtained by subtracting from the phenotypes all the regression terms except the one that is being updated.
The approach is Bayesian in that prior beliefs regarding the covariance of the regression terms and the dependent variables are included in the estimate of the regression coefficients.
The signs of the regression terms are all consistent with our aQTL-based findings and the known role of PUF4 as a destabilizer of mRNA transcripts (Hook et al. 2007; Miller and Olivas 2011).
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Briefly, if racial/ethnic disparities in depressive symptoms explain the racial/ethnic disparities in the association between BPb and BP, the regression term for the interaction between race/ethnicity and BPb should be reduced after the addition of the interaction between race/ethnicity and depressive symptoms to the model.
In order to test whether age differences of cortical thickness or PiB uptake depended on APOE carrier status in the CN group, ε4 status (positive if one or two ε4-alleles, negative otherwise) was added to the model as a factor and allowed to interact with the regression term.
6 Partial explained variance of the single regression terms within the optimal multivariate model (maximal explained variance).
The effects of additional potential confounders (other than the matching criteria, controlled for by design) were examined by including additional regression terms into the logistic regression models.
The effects of additional potential confounders (other than the matching criteria, which were controlled by study design) were examined by including additional regression terms into the logistic regression models.
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