My WikiTree family tree is about 75% complete since the American revolution. One grandparent appears to be mostly descended from Mayflower Pilgrims, two others have Mayflower ancestry with completely colonial family trees, and the fourth born 1883 in Atlantic Canada seems to be mostly pre-potato famine Irish. AncestryDNA estimates me as 26% Irish, 14% British, 14% Scandinavian, 6% Iberian, and 37% western European; while 23andMe estimates 67% British Isles, 10% French & German, 5% Scandinavian, and 17% broadly northwestern European. I have many genetic relatives on both databases, but few have a similarly complete family tree from which to identify shared ancestors. I would be most interested to have a more complete description of the mathematical basis of the evidence you hope to find.