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Previously, this statistical issue has been dealt with by partitioning variation into different levels (i.e. among species and among individuals [5], or among individuals and over time [16]).
This method of canonical correlation analysis was based on partitioning variation of the data into the principal coordinates, and then testing by permutation whether the variation was significant.
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In addition to the resistance of the porous partitions, variation in the face sheet resistance was also included in the test matrix.
There are major difficulties in using uncontrolled, large-scale surveillance data to unravel causal linkages and no attempt was made to quantitatively partition variation among competing causes.
We then partition variation in embryonic phenotypic performance to maternal, paternal, and parental interactions using the Restricted Maximum Likelihood (REML) model.
Specifically, we wanted a sampling design and model that was flexible enough to partition variation among individuals, spatial units, and years, while incorporating environmental covariates that would represent potential mechanisms.
Furthermore, through a set of randomization tests we show that a common morphospace model partitions variation differently than group-specific models.
I used the average heritability over the last 100 generations as the response variable in a multi-way ANOVA to partition variation in heritability among the predictor variables.
The regional model partitioned variation by geographic region (i.e., Upper Keys vs. Exuma Cays) and among reefs within these regions (i.e., LG, ADM, and AG within the Upper Keys and NP and SP within the Exuma Cays) while the temporal model partitioned variation first by sampling time points and then by reefs within a sampling.
The size and structure of the dataset allows us to confidently partition variation in each survival trait into environmental, PrP and non-PrP polygenic genetic effects, minimizing the chance of spurious effects or failure to detect a real effect.
We then partitioned variation in α- and β-diversity of the microbiome across plant inbreds in the different fields.
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CEO of Professional Science Editing for Scientists @ prosciediting.com