Grating the carrots on the large holes of a grater is key. Otherwise, the shreds are too fine and become lost in the salad.
Slideshow: More Quinoa Recipes
Bring water to boil in a large saucepan. Add 1 teaspoon salt and the quinoa. Cook until the quinoa is just tender, 15 to 20 minutes. Drain the quinoa.
Meanwhile, in a large bowl, add shallot, lemon juice, and 1/2 teaspoon salt. Let stand for 10 minutes.
To the large bowl, add the drained quinoa, carrots, olive oil and parsley. Stir. Season to taste with salt. Serve.