Nonparametric statistics for the behavioral sciences

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… 'prior probabilities', and the Monte Carlo is just a fast way to replace finding all 33 billion combinations. For more, can see (with TeX markup): E.\ L.\ Lehmann, {\it Nonparametrics: Statistical Methods Based on Ranks,\/} ISBN 0-8162-4994-6, Holden-Day, San Francisco, 1975.\ \ Jaroslav H\'ajek and Zbyn\v ek \v Sid\'ak, {\it Theory of Rank Tests,\/} Academia, Prague, 1967.\ \ Sidney Siegel, {\it Nonparametric Statistics for the Behavioral Sciences,\/} McGraw-Hill, New York, 1956.\ \ So, it's old material. There are many such hypothesis tests. But the old material essentially always has, for the student case, only one number on each student. The part about what to do when each student has 4 scores can take us into the journals and maybe start some more research. Similarly for the 12 numbers from the 'system' to be monitored.