Tested, contested
Mediumship
Mediumship is the claimed ability of receiving information from people who have died. It has been tested — Beischel and Schwartz, 2007, and later work at the Windbridge Institute. Some studies report scoring above chance; the samples are small, the mediums self-selected, and independent replication outside the same group is thin.
The experiment
Beischel and Schwartz, 2007, and later work at the Windbridge Institute
This is the most carefully designed corner of the field. It is also the one where the experimenters and the practitioners are closest, which is exactly the condition under which effects tend to shrink in outside hands.
Where the word comes from
The modern sense dates to the Spiritualist movement of the 1850s, when a "medium" meant the channel between the living and the dead.
Terms in this field are younger than they sound. Most were coined between 1840 and 1930, in the Spiritualist and Theosophical revivals, and then presented as ancient. Dating them is the cheapest reality check available.