A method for calibrating a resistivity-logging tool using air-hang calibration is provided. The method may include performing an air-hang measurement using the resistivity-logging tool and performing a first measurement decoupling operation on the air-hang measurement. The first measurement decoupling operation may include generating correcting factors based on a physical model and calculating an air-hang calibration matrix based on the correcting factors. Additionally, the method may include performing a formation measurement using the resistivity-logging tool and performing a second measurement decoupling operation on the formation measurement to generate a decoupled formation measurement matrix. Further, the method may include calibrating the resistivity-logging tool to generate a calibrated formation measurement matrix by subtracting the air-hang calibration matrix from the decoupled formation measurement matrix.