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For this we used the Bayesian hierarchical mixed model developed by Jia et al. [ 49] that employs orthogonal polynomials to quantify linear and non-linear associations between quantitative phenotypes and gene expression data.
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GWAS involved a single-locus mixed linear model developed by the EMMAX method [ 42] and implemented in SVS v8.1.5.
Here we use a mixed-effect model developed from 20 lakes across northern Alaska to assess which morphology and landscape attributes can be used to predict regional overwintering habitat quality.
A 2-D plane stress mixed finite element model developed by the authors [G.S. Ramtekkar, Y.M. Desai, A.H. Shah, Natural vibrations of laminated composite beams by using mixed finite element modeling, Journal of Sound and Vibration 257(4) (2002) 635 641.] has been employed.
Analysis of a piezoelectric laminate under plane strain condition of elasticity (cylindrical bending) has been performed with mixed semi-analytical model developed by Kant et al. (2007).
A summary of the first-stage, mixed effects logistic model developed using weekly diary data is provided in Table 1.
For the meta-analytical data evaluation, we used an exact binomial rendition 15 of the bivariate, mixed effects regression model developed by van Houwelingen and colleagues 16 and modified for synthesis of diagnostic test data.
To account for differences in case-mix, mixed models were developed, with tumor histology (benign, borderline, primary invasive or metastatic invasive) as the explanatory variable.
A linear mixed model was developed to account for serial correlation, with turbidity, discharge and rainfall as predictor variables.
A mixed model was developed for analyzing the data with within-subject treatments, and the pairwise comparisons among the treatments were performed to determine the P values.
Power analyses were conducted based on the linear mixed model procedures developed by Hedeker and colleagues [ 32] for 2-group repeated-measures designs in which a linear treatment by time interaction is expected.
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