To measure turbulent temperature fields accurately using fine-wire temperature sensors, a reliable response compensation scheme is necessary. In this study, the response-compensation methods we have previously developed, which are comprised of four schemes for estimating the time-constant values in time-or frequency-domain, were evaluated systematically using computer-generated temperature signals based on the 0.63μm platinum-wire measurements. The present numerical evaluation has revealed the robustness of the four schemes to instrumentation noise and appraised the validity of the criteria used in the time-constant estimation schemes. Additionally, it was shown that a notable defect of the frequency-domain response compensation schemes using the fast Fourier transform (FFT), which is caused by strong discontinuity between the both ends of a discrete time-series data, can be rectified using the Rotation-Translation method. The present numerical evaluation will help us improve the reliability of fluctuating temperature measurement of turbulent flows by fine-wire temperature sensors such as cold-wires and thermocouples.