We present the results of searches for large extra dimensions in samples of events with large missing transverse energy E̸T and either a photon or a jet produced in pp collisions at s√=1.96  TeV collected with the Collider Detector at Fermilab II. For γ+E̸T and jet+E̸T candidate samples corresponding to 2.0 and 1.1  fb−1 of integrated luminosity, respectively, we observe good agreement with standard model expectations and obtain a combined lower limit on the fundamental parameter of the large extra dimensions model MD as a function of the number of extra dimensions in the model.