The absolute gamma dose was measured at 60 locations within the Tungsten Water-Moderated Reactor critical assembly. The neutron dose was measured at 30 locations. Graphite wall thimble ionization chambers filled with carbon dioxide were used for gamma measurements and polyethylene wall chambers filled with ethylene were used for mixed gamma and neutron fluxes. The chambers were absolutely calibrated in a bremsstrahlung beam against a secondary calibration standard and in a reactor against a water-filled calorimeter. These calibrations were used to determine the absolute gamma and neutron responses for the chambers; this permitted partitioning the measured mixed radiation dose into a neutron dose. The measured gamma doses were compared with an ATHENA Monte Carlo calculation. Good agreement was found for the 16 locations compared. The average deviation was 10%. In addition, the measured neutron doses were compared with a first-collision calculation of the dose. The calculated neutron doses were uniformly low with an average deviation from the measurement of 18%.