**A**s 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.

Filed under: R, Statistics Tagged: combinatorics, correction, Monte Carlo, simulation, sudoku, uniformity

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**Tags:** combinatorics, correction, Monte Carlo, R, Simulation, statistics, sudoku, uniformity