Instructions
Listen to the sound goats make when communicating with each other. Observe which calls attract fellow goats.
Replicate that noise yourself. Make short-toned, moderately-pitched, goat-like calls while staring directly at the goats until they come to you. If this noise scares them away, try replicating the call, only quieter.
Shake some grain in a tin can to attract the goats. Make the sound you originally made to call them over while shaking the can. Feed them when they come to you -- this will positively reinforce them to come to you. Continue to do this until you can simply make the goat-like call without shaking the tin can with food.
Download goat calls and play them over a radio with your digital music player.
How to Call a Goat
Goats are raised for various reasons: as pets, for their coats, for milk or for goat meat. The hoofed creatures have a short, bleating call, which they use to communicate with each other. Trained goats can respond to whatever call the owner reinforced while they were kids, or young goats. Most of the time, however, replicating the sound goats make will grab their attention.