Which of the following is NOT a state government agency?

The Department of Defense (DoD) is a federal government agency rather than a state government agency. It operates at the national level and is responsible for coordinating and supervising all agencies and functions of the government related directly to national security and the military.

In contrast, the other options listed are either state-specific or geared towards local economies and governance. The Secretary of State Militia is a state agency that deals with issues specific to the state, while the Small Business Administration, although it serves across all states, is a federal agency that supports small business development but is not a state agency. Louisiana Economic Development is a department that focuses specifically on economic development within the state of Louisiana, further emphasizing state-level functions.

Thus, the distinguishing characteristic of the Department of Defense being a federal agency is what makes this answer correct.