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A226329
Critical values of Wilcoxon T test at a 5% level of significance (one-tail test).
4
0, 2, 3, 5, 8, 10, 13, 17, 21, 25, 30, 35, 41, 47, 53, 60, 67, 75, 83, 91, 100, 110, 119, 130, 140, 151, 163, 175, 187, 200, 213, 227, 241, 256, 271, 286, 302, 319, 336, 353, 371, 389, 407, 426, 446, 466, 486, 507, 529, 550, 573, 595, 618, 642, 666, 690, 715
OFFSET
5,2
FORMULA
G.f. for partitions limited to sample size is product_{r=1..s} (1 + x^r).
MATHEMATICA
g[x_, 1] := x + 1; g[x_, s_] := g[x, s] = (x^s + 1)*g[x, s - 1]; WilcoxonT[s_, p_] := Module[{m = (2^s*p)/100, cum = Accumulate[CoefficientList[g[x, s], x]], i = 0}, Scan[If[# > m, Return[i - 1], i++] & , cum]]; Table[WilcoxonT[s, 5], {s, 5, 100}] (* coded after Peter Mitic *)
CROSSREFS
Cf. A226330 (2.5%), A226331 (1%), A226332 (0.5%).
Sequence in context: A004977 A186498 A226330 * A325548 A094568 A251607
KEYWORD
nonn
AUTHOR
STATUS
approved