The United States had three choices in deciding how to control a territory in the late 19th and early 20th centuries.

The United States had three choices in deciding how to control a territory in the late 19th and early 20th centuries. In some cases they colonized outright, in others they brought the area into the United States as a territory, and in some instances they set up hegemonic controls over an area. What do you think accounts for these different responses? Give specific examples to back up your reasoning.