Suppose that I have two long-only portfolio construction strategies and that I backtest both of them on the same data. If I wanted to find out whether one of these methods would have outperformed the market, then I would regress the resulting excess returns of that method against the excess returns of the market and look at Jensen's alpha.
How would I compare (using econometric methods) whether one strategy outperforms the other? Would it make sense to regress one against the other and test whether the intercept is different from $0$?