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Mathematical details appear in the Additional file 1. Supplemental simulation details appear in Additional file 2. The model for the data is 1 where μ is the overall mean, are the effects of the patients (or biological samples, etc)., are the effects of the laboratories (or raters or instruments, etc)., and are within-laboratory (or within-rater, etc).
Similar(59)
The results of these two studies along with supplemental simulations provide strong evidence that mixed designs are an effective tool for separating transient, trial-related activity from sustained activity in fMRI experiments.
Our pilot study found no difference in trainee performance between those who underwent standard training and those who received supplemental simulation-based training.
The full set of equations to develop the model is provided in Supplemental Material, Simulation Model Equations, pp. 20 44.
We used simulations to evaluate the choice of the ln ln model to fit the data, and we described the simulations in the Supplemental Material, "Simulation methods," pp. 2 4, and Tables S1 and S2.
Further, the experimental results are captured and justified by the supplemental numerical simulations.
However, these domains were not anatomically predefined but changed during the course of the simulation (Supplemental Fig. 3 B), as they were determined by dynamic processes (23).
Similar data were obtained using TI simulations (Supplemental Table S7).
We visualized the problem by plotting simulated raw read counts (See Additional File 1, Supplemental Methods 4 for simulation procedure) on a scatter plot with the counts for the genes in the control sample on the × axis and the test values on the Y axis.
Supplemental figures, tables, and simulation source code are available in the supplement.
We verified that this overlap does not introduce any bias in our results by removing the overlapping genes from our test set and repeating the simulation (see supplemental material Text S1 and Figure S4).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com