Why did the anti-Federalists want a strong state government? Why did the federalist want a strong central government?

Anti-Federalists:

Anti-Federalists believed that if left unchecked, the federal government could become akin to the british monarchy that had suppressed the American colonists in the years prior to the Revolutionary War. Thus, the idea of limited federal government intervention in the dealings of the State, like the Articles of Confederation proposed, became a core idea in Anti-Federalist beliefs. They also believed that the State, morso than the federal government, knew what its people wanted. The passing of laws and taxes by the state was--in their opinion--a better means of getting what the people truly wanted.

Federalists:

In the times of the Articles of Confederacy, many Americans in the North noticed that there were some major flaws in the idea of giving power to the state. For example, if there was to be a national threat to the nation, the states who had given complete power to themselves would be powerless against them with their small state-militias being unable to coordinate. On top of that, any efforts to create roads, canals, etc. would be impossible to achieve because of the difficulty behind supplying labor, materials, and other resources for their construction. These Americans would, even after the adoption of the Constitution, continue to believe that giving power to the state governments would lead America to ruin, and saw the Central Government as fundamental for the protection of America's citizens.