The generic name honors the late Ana Maria Biset, an influential archeologist from Neuquén Province in Argentina, where the remains of this animal were found.

The one named species is called A. saldiviai, after Roberto Saldivia Blanco, a local farmer who had discovered the fossils in 1985 and brought them to the attention of science in 1993.

[1] All four specimens were discovered at a locality called Cerro Bayo Mesa, thirty kilometers south of Plaza Huincul in the Neuquén province of Argentina.

[1] This dinosaur is thought to be closely related to another Patagonian ornithopod, Gasparinisaura, although the lack of skull material makes it difficult to place with precision.

[1] Relatively recent cladistic analyses performed by Coria and others indicated that Gasparinisaura lies just outside of Iguanodontia, closer to North American ornithopods like Thescelosaurus and Parksosaurus.

[7] Cladogram based in the phylogenetic analysis of Rozadilla et al., 2015: Hypsilophodon Thescelosaurus Gasparinisaura Morrosaurus Trinisaura Macrogryphosaurus Notohypsilophodon Talenkauen Anabisetia Parksosaurus Kangnasaurus Rhabdodontidae Tenontosaurus Dryomorpha