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RE: Where's the analysis?
Hmm, there are of course two problems if actual balls are used. The normal balls can be unequal ('nope', p-value 0.5131 for v4). And the special balls can be unequal (0.8722).
Ok, the p-values are not significant, but... If actual balls are being used, there will be really tiny differences between balls. So one could currently select:
7 53 5 25 46 - 42
But if prices are shared between winners, one should not select those. Just select some random numbers in the middle...
On the other hand, it could also be that a ball that gets selected is being a little damaged, after which it becomes less likely to be selected. But I expect that a ball that is selected gets smaller and gets even more likely to be selected next time. I did not test for those type of effects yet. :)
Next to that, there could be interactions between balls that get selected together/not together more often. I did not test for them too. Replacement frequency and such is also of influence. Perhaps time for some physical tests? :)
Code (with a small fix):
big=read.table("big.dat",sep="%",fill=T) big$date=as.Date(apply(big[,1:3],1,paste,collapse="-")) big$type=ifelse(big$date>="1999-1-13",ifelse(big$date>="2002-3-15",ifelse(big$date>="2005-06-22",4,3),2),1) chisq.test(table(unlist(big[big$type==4,5:9])),p=rep(1/56,56)) chisq.test(table(unlist(big[big$type==4,10])),p=rep(1/46,46)) z=table(unlist(big[big$type==4,][,5:9])) z[order(z,decreasing=T)] z=table(unlist(big[big$type==4,][,10])) z[order(z,decreasing=T)]View Full Discussion