A wireless electronic device such as a portable electronic device may contain a baseband module. Power amplifier circuitry in the device may amplify radio-frequency signals for transmission. During calibration measurements, a computer directs the baseband module to generate control signals that adjust the gain of the power amplifier circuitry. The computer may also direct the baseband module to generate a series of modulated or unmodulated test tones at one or more communications channel frequencies. A power sensor may be connected to the output of the power amplifier circuitry using a transmission line path. The computer and power sensor may be used in making power measurements on radio-frequency signals at the output of the power amplifier while power amplifier gain and test tone frequency adjustments are being made. Power amplifier calibration data may be produced and stored in the electronic device based on the power measurements.