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Thank you for the donation =) Each rumble is completely independent, only the client knows that minirumble is related to nanorumble, microrumble and roborumble more than say, gigarumble. So the K value is dependant on the rumble that the scores are from, for example if you are looking at Yatagan scores in the nanorumble then K will be calculated from the nanorumble size, if you look at the Yatagan scores in the roborumble K will be larger.

I'm not sure how to do exactly what you are asking without storing every single pairing, which gets far too complicated (and expensive) with the design I have now. Checking the Survival will tell you how many battles you win/lose, but again that is only an average. I am thinking of keeping a Variance score for both APS and Survival (this will be easy to calculate incrementally just like I do the APS for a pairing), and from the variance I can also calculate Standard Deviation and Confidence Interval as I render the page.

About the NPP question, yes you have it, it is a problem that requires the entire score matrix to answer, so you need to check the scores on the other bot's page =)

Thanks for the good wishes for the MSc. Right now it just feels like lots of hard, boring work!