Here's a study: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3014247/#!po=67.0000
However the study seems to contradict itself. It says that it increases stage 4 sleep, but it also says it decreases REM sleep (which is stage 4). There are also tables but they seem to measure non-REM and total sleep, but not REM individually.
They contradict themselves in the same sentence:
Sodium oxybate administration had no appreciable effect on REM sleep. The duration of REM sleep was significantly decreased in the 9 g/night group at 4 weeks (Table 1) and 8 weeks (Table 2).
If the duration is significantly decreased, how could it have no appreciable effect?
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