The definitive comparison of the two species is not yet available online. I'll see if I can track down a hard copy of it and scan it. But for now, here is the abstract and information necessary to find this key.
The Atya-like Shrimps of the Indo-Pacific Region (Decapoda: Atyidae)
Fenner A. Chace, Jr.
54 pages, 24 figures
1983 (Date of Issue: 13 October 1983)
Number 384, Smithsonian Contributions to Zoology
Display: Online version not yet available | Full Description (from SIRIS)
Abstract
The shrimps recognized in this study comprise six freshwater species that have often been referred, untenably and sometimes in synonymy, to the genus Atya. Three of the species are here assigned to the reestablished genus Atyoida: A. bisulcata, confined to Hawaii; A. pilipes, ranging eastward from eastern Indonesia and the Philippines to the Marquesas and Gambier islands; and A. serrata, possibly limited to Madagascar and smaller islands in the tropical western Indian Ocean.
Two closely related forms compose the new genus Atyopsis: A. moluccensis, ranging through Thailand and Malaya to Indonesia and perhaps westward to Sri Lanka and northeastward to the Philippines; and A. spinipes, apparently inhabiting the eastern Lesser Sunda Islands and extending northward through the Philippines to Okinawa and eastward as far as Samoa. Atya striolata, occupying streams along the east coast of Australia, is assigned to the new genus Australatya. Keys are provided to the genera and species and, for each of the latter, there are a complete synonymy, review of the literature, references to published illustrations, a diagnosis, color notes if available, size limits, the known range and material examined, variations observed, ecological information, life-history notes if any, common names, and economic importance. Special attention is paid to the heteromorphism of the chelipeds in Atyoida, especially as displayed by a series of several hundred specimens of A. pilipes from Palau, Caroline Islands.
edit: it looks like the university library has this! Next time I need to go there, I'll get a copy for us!