Most displays provide color gamut controls, often called a Color Management System (CMS). Ideally, each primary and secondary color would have controls for:
Some displays have the same adjustability through using Red, Green and Blue adjustments for each Primary and Secondary.
This is called 6-axis 3D CMS.
Errors are measured at dE values (typically dE2000, though there are other Delta E formulas that may be used). The overall dE value gives a good impression of the amount of error in the reproduction of a given color, but does not provide much information for how to correct those issues.
CalMAN shows where the errors are with the RGB Balance chart and with Deltas L,C, and H (Luminance, Color, and Hue) charts. Use the dE charts that conform to your CMS controls.