Options for Filipino students who want to get green cards

They say that aside from being married to a US citizen, having relatives living in the US, and winning the green card lottery, studying in a US university is one of the best ways to get a green card. One has to go through the admission procedure for universities, look at a sample personal statement essay, create one of your own, and submit it to the universities. Then, one also has to find employment and make the employer endorse you for a green card. There are even groups that prefer foreigners with a high technical background. Does this process make it easier for Filipino students to get US green cards? What degrees are in high demand in the US today?