This thesis studies the strategy of choosing portfolio in equity market, based on the Marginal Conditional Stochastic Dominance(MCSD)method proposed by Shalit and Yitzhaki(2010). MCSD suggests that investors can increase their expected utility by buying dominant stocks and selling dominated stock. This thesis uses the data from Taiwan market to test the suggestion. By analyzing ETF 50 index, we find out that the empirical results are consistent with that of Shalit and Yitzhaki.