Home invasion is difficult to access since it doesn't have its own category on the UCR. rob's stats are probably pretty close with an ok margin of error. But the stats do tell a story about "home invasion" versus "robbery gone wrong" situations. If someone comes to rob your house only to unexpectantly find you at home, that's probably what the stats show as simple assault, rape, etc because the criminal is surprised and didn't bring a gun with them. Home invasions in the true sense of the term, where someone comes busting in your door knowing you are home to do you bodily harm and take your crap, appears to be very rare. Something that brazen is most likely in 2 scenarios: 1. low income home/apartment where some illegal activity is going on (I want your stash of drugs so I'm going to take it by force) 2. High income targets where the potential for large sums of cash (from a personal safe, etc) or high dollar jewelry would be worth it to a criminal to engage in a confrontation (think Sean Taylor or Antoine Walker). Do other type of invasions (like the one in the video) happen? I'm sure they do but I'll wager that they are exceedingly rare.
But I think it's pretty obvious from the video that the suddeness of this attack would have rendered owning a firearm usless in this situation. I'll just say there are probably better news stories out there than this one to support your gun ownership to protect your home belief than this one.