BobbyO,
Long time, no posting - I could have sworn that I threw some numbers up here but apparently not. This is really just to start setting a baseline, as I am sure that the sample size is too small to be meaningful.
I used the encounter information that I most recently vetted - New York, Vermont, western Mass, and Western CT. That is a total of 331 encounter reports.
The moon phase (my $0.02) not going to be important during the day, so narrow it down to encounters occuring during dusk, nighttime, and dawn, and two where even the general time of the encounter is unknown - that drops our sample down to 172 encounter reports.
Of these, only 93 reports include specific information about the moon phase OR the date OR enough information where one or t'uther can be inferred w/a reasonable degree of certainty.
Now before providing any more numbers, there is another area of potential error/disparity. The "full moon" only lasts one day. But many casual observers don't distinguish between the true full moon and the moon seen, let's say, 1 day before or 1 day after the full moon. Similarly, when does a waxing quarter moon become a waxing gibbous moon? The date ranges that various researchers select for each category may introduce some slight errors. In addition, there's a huge problem created if a database does not have the option of leaving the date blank (when the date of an encounter is unknown) but instead uses a default date (e.g. the first of any given month) and then sets the moon phase according to that default date.
Back to the numbers - of the 93 encounter reports in which a moon phase was given or could be identified:
12 occurred during the new moon + 3 nights after
18 occurred during the waxing quarter moon (two nights before, the QM, and 1 night after)
18 occurred during the waxing gibbous moon (the next 4 nights)
13 occurred during the 2 nights before the full moon, the night of the full moon, and 2 nights after the full moon)
7 occurred during the waning gibbous moon (the next 4 nights)
12 occurred during the night of the waning quarter moon and the 3 nights after the waning quarter moon
13 occurred during the last 4 nights of the moon cycle