  The NIRCam instrument on the upcoming James Webb Space Telescope (JWST) will
offer an unprecedented view of the most distant galaxies. In preparation for
future deep NIRCam extragalactic surveys, it is crucial to understand the color
selection of high-redshift galaxies using the Lyman dropout technique. To that
end, we have used the JAdes extraGalactic Ultradeep Artificial Realizations
(JAGUAR) mock catalog to simulate a series of extragalactic surveys with
realistic noise estimates. This enables us to explore different color
selections and their impact on the number density of recovered high-redshift
galaxies and lower-redshift interlopers. We explore how survey depth, detection
signal-to-noise ratio, color selection method, detection filter choice, and the
presence of the Ly$\alpha$ emission line affects the resulting dropout selected
samples. We find that redder selection colors reduce the number of recovered
high-redshift galaxies, but the overall accuracy of the final sample is higher.
In addition, we find that methods that utilize two or three color cuts have
higher accuracy because of their ability to select against low-redshift
quiescent and faint dusty interloper galaxies. We also explore the near-IR
colors of brown dwarfs and demonstrate that, while they are predicted to have
low on-sky densities, they are most likely to be recovered in F090W dropout
selection, but there are color cuts which help to mitigate this contamination.
Overall, our results provide NIRCam selection methods to aid in the creation of
large, pure samples of ultra high-redshift galaxies from photometry alone.
