What is the test for a writ of habeas against a state judge?

The writ can only be granted if the state court's adjudication of the proceeding "resulted in a decision that was based on an unreasonable determination of the facts in light of the evidence presented at the state court proceeding." 28 U.S.C. 2254(d)(2); see Miller-El v. Cockrell, 537 U.S. 322, 348 (2003) ("To secure habeas relief, petitioner must demonstrate that a state court's finding ... was incorrect by clear and convincing evidence, 28 U.S.C. 2254(e)(1), and that the corresponding factual determination was 'objectively unreasonable' in light of the record before the court.")