There is no comparison tests for performance across all the editions of Windows 7. But I’ve a perception that Windows 7 Home Basic is the best for most users, it does away with the bloat that most don’t need, it’s the fastest. The reason is simple — Home Basic is the most trimmed down edition among all (discarding Windows 7 Starter that’s of no use in modern times). If you run all the editions of Windows 7 on identical configurations such as identical RAM, Drive, CPU, Programs and Configurations, Windows Home Basic may take the lead (just my wild guess) because it has disabled most of the features that you find in other edition. Here’s a feature comparison (click on the chart below to see the full preview with proper resolution):

Now it’s your bet to figure out. Choose one over others as per the need.