Focus
PMO-MI®: PMOs and the services they provide
P3M3: Portfolio, programme and project management
OPM3: Organisational project management
CMMI: Process improvement (development, services)
What it looks at
PMO-MI®: 24 PMO service domains, maturity and impact
P3M3: Seven perspectives across three models
OPM3: Best practices and capabilities
CMMI: Practice areas and capability levels
Measures impact separately
PMO-MI®: Yes
P3M3: No
OPM3: No
CMMI: No
Free starting point
PMO-MI®: Yes, Tier 1 in ~20 minutes
P3M3: Self-assessment available
OPM3: Limited
CMMI: No
Benchmarking
PMO-MI®: Across countries and industries
P3M3: Limited
OPM3: Limited
CMMI: Appraisal-based
Output
PMO-MI®: Dashboards, roadmap, target operating model
P3M3: Maturity level
OPM3: Improvement plan
CMMI: Maturity / capability level

Based on publicly available descriptions of each model. P3M3, OPM3 and CMMI are trademarks of their respective owners.