A capability level 4 process is characterized as a quantitatively managed
process. A quantitatively managed process is a defined (capability level 3) process that is controlled using statistical and other quantitative techniques. Quantitative objectives for quality and process performance are established and
used as criteria in managing the process. Quality and process performance is understood in statistical terms and is managed throughout the life of the process.
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CMMI-ACQ 1.2
3. 
Capability Level 4: Quantitatively Managed