Due to the character that the sequential experiment enlarges stage by stage, the new runs will be added into the previous design that has been chosen. How to design a good sequential experiment becomes an interesting issue. This paper studies the uniform asymmetric extended designs in terms of Lee discrepancy for a possible application to sequential experimentation. An analytical relation between Lee discrepancy of two-and three-level mixed extended designs, and its initial and additional designs is established, which provides a statistical justification to construct(nearly) uniform extended d...