How can I completely hide an event from people who are not invited on Facebook?

If I make the event private, does this mean no one but me and the guests can see it? Or is it still shown to other people on their wall, or on their events? What does making the event private do? And How can I keep it private in all aspects?How can I completely hide an event from people who are not invited on Facebook?
One thing you can do is find the status update that's created by the event on your profile page, and click the option to remove the update about the event. This way, it will be taken out of the feed for other people, and will only be a notification to the people you've invited. Hope this works and hope this helps