Random [uniform?] sudokus [corrected]
As the discrepancy [from 1] in the sum of the nine probabilities seemed too blatant to be attributed to numerical error given the problem scale, I went and checked my R code for the probabilities and found a choose(9,3) instead of a choose(6,3) in the last line… The fit between the true distribution and the observed frequencies is now much better
but the chi-square test remains suspicious of the uniform assumption (or again of my programming abilities):
> chisq.test(obs,p=pdiag)
Chi-squared test for given probabilities
data: obs
X-squared = 16.378, df = 6, p-value = 0.01186
since a p-value of 1% is a bit in the far tail of the distribution.
May 21, 2010 at 12:40 pm
[…] 9 “diagonals” (obtained by acceptable permutations of rows and column) and this test again results in mostly small p-values. Over a million iterations, and the nine (dependent) diagonals, […]
May 19, 2010 at 12:29 pm
[…] Og an attempt at bloggin, from scratch… « Confusing slice sampler Random [uniform?] sudokus [corrected] […]