Administrative Efficiency refers to the time in years which must elapse between moves of a slider. For instance, the Administrative Republic form of government has an administrative efficiency of 1.2, meaning that a base of 12 years must pass between successive movements.
This is decreased by your monarch's administrative skill and increased by the number of provinces in your nation.
One of several candidate empirical formulas giving the slider change time in years:
AdmEff and A both signify the government's administrative efficiency, P is the number of provinces.