Ticks transmit all of the following except:

Ticks are known vectors for several diseases, but they do not transmit all types of infections. Lyme disease, Rocky Mountain spotted fever, and anaplasmosis are all transmitted by ticks.

Lyme disease is caused by the bacterium Borrelia burgdorferi, which is primarily spread through the bite of infected black-legged ticks. Rocky Mountain spotted fever is caused by the bacteria Rickettsia rickettsii, transmitted mainly by the American dog tick and other species. Anaplasmosis is caused by the bacterium Anaplasma phagocytophilum, which is also spread by certain ticks.

On the other hand, pediculosis refers to an infestation of lice, which are not ticks and are transmitted through direct contact or sharing personal items, rather than through bites from ticks. Therefore, the correct answer is that pediculosis is the only condition listed that is not transmitted by ticks.