There was an MIT under grad psychology study done a few years ago on the Effects of WiFi on people with WiFi sensitivity. They had a WiFi generator that had antennas, dials and blinking lights. The generator was always positioned behind the test subjects so they could not directly see if it was on or off. However, there were enough reflective surfaces on the opposing wall so the the subject could tell when it was on or off. When the generator was brought in the room and and turned on the subjects felt the effects. When it was turned off and or removed from the room the subjects felt much better.
The machine did nothing.
The ceiling of the room was loaded with active WiFi base stations that were on all the time during the tests yet the subjects only reacted when the fake WiFi generator was turned on and in the room.