Final answer:
A free recall test of memory involves retrieving information without cues, which is different from recognition or cued recall where prompts or choices are present.
Step-by-step explanation:
The test that requires one to reproduce information in any order is known as a free recall test of memory. Free recall involves retrieving information without the need for any cues, essentially 'recalling' facts, events, or concepts from one's memory. This contrasts with a recognition test, where one identifies previously encountered information from a list of choices, and cued recall, where prompts are given to aid in the retrieval of memories. The savings measure involves assessing the amount of time or effort saved when relearning information compared to learning it for the first time.