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The mixed models include fewer parameters than comparable lumped parameter groundwater models while explaining a similar proportion (more than 65%) of GWL variation.
Generalised additive mixed models include random effects to take into account correlation patterns in repeated outcomes.
Linear mixed models include: estimation of variance (V), standard error (SE) and percentage of explained variance (%EV).
The linear mixed models include terms for the treatment groups, time, and interaction terms "treatment group" and "time".
The results of the linear and mixed models include adjusted approximations of confidence intervals (CIs) and P values based on multiple comparisons (simultaneous inference) of predictors using the "glht" function from the "multcomp" package (Hothorn et al. 2008).
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The output of the mixed models includes the home parameter for each, along with its standard error, providing tests of the demographic hypotheses.
All data were analyzed with mixed models, including the fixed effects of sugar, amylase, and their interaction, and the random effects of period and pen.
Associations between predictor variables and measures of lying behavior were assessed using generalized linear mixed models, including farm and province as random and fixed effects, respectively.
Linear mixed models included random effects of subjects and movies, and fixed effects of age group (younger adult, older adult), presentation condition (unedited, event middle, event boundary), and information type (midpoint, boundary).
Animal-level data were analyzed using mixed models, including the fixed effect of treatment and the random effects of period, pen, period × pen interaction, and cow within pen to recognize pen as the experimental unit.
All the mixed models included a subject-specific random intercept.
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