Monocular augmented reality devices are used in aviation to help civilian or military pilots in their flying task. Given that the image is presented in front of only one eye, the two eyes are not stimulated in the same way and it can create a phenomenon known as binocular rivalry. It appears when the brain is not able to merge the two visuals information and an alternation between them can occur. This alternation is dependent on visual condition and the question arises as is it relevant to choose the eye to display the image to limit binocular rivalry and guarantee a good performance in the tasks of recognition and control. Our study aims to compare the performances as a function of the position of the virtual image. These results are then compared to the results of several dominant eye tests to determine if one test can objectively determine on which eye the monocular information should be displayed when using a monocular see-through device.