I just came across a neat little extension for Google Chrome. It changes the way Strava displays segment data to you.
Normally when you click in a segment, you'll see the overall leaderboard, but you can select the "My results" option from the drop down list to just see your own history on that particular segment. This extension will make the "my results" data appear by default.
Most people who enjoy Strava, say they like it because of the sense of motivation and progress they get from it. Most people say they're more interested in beating their own pb's rather than competing against others.
This is a great way, if you're a Chrome user, to switch the view to support that kind of analysis.
It takes less than a minute to install the extension and try it out.