An apparatus for tuning a parameter of a Kalman filter in a wheel inspection for a vehicle is disclosed. The apparatus includes an association module that associates wheel inspection data of the vehicle with locations of corresponding wheels in the vehicle; an evaluation module that evaluates a wheel stable score of the vehicle based on the wheel inspection data and the association, where the wheel stable score indicates reliability of the wheel inspection; and a parameter tuning module that tunes a measurement error covariance of the Kalman filter according to the evaluated wheel stable score.