DMAIC is a one of the continuous improvement methodology , this is focusing on the identifying and elimination of waste and reduce the variation in the process. (Define, Measure, Analyse,Improve, control).
DMADV: (Define, measure,Analyse,Design, verify): Which is focused on the new process product designing, service/process.
That is the reason it is completely different of DMA from DMAIC, & DMA of DMADV... let me explain in detail
For DMA of DMAIC: D: define problem, M: Collect the data & data stratify ,A: Analyse the data & identify the Root cause.
For DMA of DMADV: D: Define the process and design goals, M: Measure and identify the critical quality characteristics, A: Analyse the data to find the best design
Regds
Koteswaararao