Various complexity and information measures were tested to quantitatively express the laminar-turbulent transition process in the mixing layer. The digitized instantaneous velocity data of the hot-wire anemometer was used. From the complexity analysis, an approximated Kolmogorov complexity, and the normalized compression distance, NCD were tested. Next, the Shannon and permutation entropy, which consider the complexity of data sequences, were tested from the information analysis. The tested quantities increased monotonically during the transition process successfully.