One thing is for certain; you can't always quantify everything in nature, especially when it comes to life forces. To see the effect of a full moon on humankind, all you have to do is ask someone that works in the emergency room or in law enforcement. I have a sleep disorder that kicks in big time when the moon is full, and before anyone says it's psychomatic, I don't pay attention to the moon's phases; I don't have to because when I can't go to sleep I know it must be a full moon and I check and sure enough it is. I think there is a lot that we don't know when it comes to lunar science. I'm not one to debase the importance of impiricle science; I believe in true science as much as anyone but I also know there are unseen forces at work that we know little or nothing about. IMHO scientists can't afford to be arrogant; only through an open mind can we truly advance.
There are unseen but not invisible forces at work. Science does not know everything and it is certainly possible that "something" may be discovered that upsets some basic scientific principals. But the more we use those principals as a base to form new principals and the new principals continue to "work" then the likelihood of something science shattering (like something para/peri-normal) occurring lessens.
Just like growing weed. We have our basic principals, and while LEDs or some new thing may change the way we grow, the basics of light, food, water, etc... isn't going away. And any new lighting would just be building on what we already know. And while it is possible, it is unlikely that we will ever be able to grow weed in complete darkness without water. Same goes for scientific principals - we may discover some wild things that we never thought possible but chances are good the theory of gravity isn't going anywhere soon. Though relativity certainly gave it a thump on the head! So i readily admit the fallibility of science but I think it is the best too we've got so I try to stick to it whenever possible.
So here goes...
First, I don't doubt you have a sleep disorder that is not psychosomatic. I do however doubt the full moon is causing or even aggravating your sleep disorder (unless it has something to do with extra moonlight keeping you awake but i don't think that is the case). I would also point out that one person's experience is not statistically significant and anecdotal evidence isn't really evidence.
Second, if the full moon was truly the cause (or even an aggravator) of your sleep disorder then you could count on a restless night every 28 days. I would also remind you that the moon is full or near full for several nights so you can expect at least 3-5 days of restless sleep as the full moon waxes and then wanes. Unless your sleep disorder is occurring every 28 days, or with the lunar cycle, then I would call the nights you get up when there is a full moon, coincidence and nothing more.
I think what is actually happening is the "whatever-i'm-doing-at-the-time" syndrome. For example: if i have a scratchy throat and take some medicine (i think echanasia is all the rage now) and i feel better, i am going to credit the medicine REGARDLESS if it actually helped or not. After it happens once, then the placebo effect can take over and every time the medicine "cures" me, it reenforces my belief about the medicine and my mind dismisses all the times i took it and still got sick. It is the same principal behind folks who believe in psychics who are just "cold-reading". The folks who believe someone can be psychic tends to embrace and remember the "hits" and dismisses the psychic "misses". They also fill in gaps and otherwise aid and encourage the psychic. It is called confirmation bias.
And while I haven't personally conducted any studies regarding the "full-moon madness" stories typical of cops and emergency rooms, many folks have.
Here is a short list of items that the full moon is supposed to influence.
-the homicide rate
-traffic accidents
-crisis calls to police or fire stations
-domestic violence
-births of babies
-suicide
-major disasters
-casino payout rates
-assassinations
-kidnappings
-aggression by professional hockey players
-violence in prisons
-psychiatric admissions [one study found admissions were lowest during a full moon]
-agitated behavior by nursing home residents
-assaults
-gunshot wounds
-stabbings
-emergency room admissions
-behavioral outbursts of psychologically challenged rural adults
-alcoholism
-sleep walking
-epilepsy
There have been numerous studies and all have failed to show a reliable and significant correlation (i.e., one not likely due to chance) between the full moon, or any other phase of the moon, and each of the preceding. And while cops and emergency room personnel will swear up and down that the full-moon does cause more problems, they are mistaken. Confirmation bias is again at work here.
There is no evidence.... sorry. That may sound arrogant, but I say it humbly.