I've been collecting data about my headaches and diet for almost four months now. I don't see any patterns - annoyingly, I get headaches nearly every day, so there's not much information - but I thought I'd post the data set and see if anyone sees anything. Here it is. Hopefully someone finds this an interesting problem.
It's written in note-to-self format (abbreviations like "strawbs" for "strawberries"; if I mention a complicated dish once then I'll shorten it when I eat the leftovers, as "pasta" for "pasta with artichokes and spinach and pesto"; times given approximately and not in a consistent form and often without specifying if they're a.m. or p.m., though they are in chronological order). Quantities aren't given, although if they're suspected to be relevant I may be able to remember specific instances (for unusual foods) or typical portions (for ordinary foods) - other details might also be recollectable similarly. I also don't notice when headaches go away, so I don't know how long they last except when they last all day or become noticeably worse during their course. My sleep schedule varied considerably over this period, but trends more night owl than early bird (for a while I was outright nocturnal). I moved three time zones west at the end of July, should that matter at all.
I'm not soliciting commentary on my diet except insofar as it can be compellingly related to my headaches.
ETA: Assume that every single day I'm drinking lots of skim milk. (2-6 cups depending on how much I eat and how it's spaced out.) There's a couple of exceptions, mostly when I'm in transit for most of a day or run out of milk, but not many and they don't seem to correlate with headaches.
The offer's open to anyone, as long as the sum of all bets made so far is less than my maximum.
To make the numbers round, and give myself a little expected-profit margin, I'll put up $25 against each $10 someone else puts up. Bets settle via PayPal, in my favor if a diagnosis of celiac disease is reached, in your favor if a different diagnosis is made and confirmed, or if no diagnosis has been made by Jan 1.
It wouldn't hurt to spell out the steps Alicorn should take to rule in or out a diagnosis of celiac, since the blood test isn't completely reliable. It's my understanding that following a gluten free diet can be challenging at first, one needs to carefully read labels. Salad dressings, sauces, etc. often contain gluten. A friend of mine bought a separate toaster for her daughter who has celiac. I suggest specifying a set time period that he should follow a gluten free diet while keeping a diary listing all foods eaten, as well as any symptoms.