A226332 Critical values of Wilcoxon T test at a 0.5% level of significance (one-tail test).

0, 1, 3, 5, 7, 9, 12, 15, 19, 23, 27, 32, 37, 42, 48, 54, 61, 68, 75, 83, 91, 100, 109, 118, 128, 138, 148, 159, 171, 182, 194, 207, 220, 233, 247, 261, 276, 291, 307, 322, 339, 355, 373, 390, 408, 427, 445, 465, 484, 504, 525, 546, 567, 589, 611, 634, 657

Offset

8,3

Links

Table of n, a(n) for n=8..64.

Peter Mitic, Critical Values for the Wilcoxon Signed rank Statistic

Eric Weisstein's MathWorld, Wilcoxon Signed Rank Test

Wikipedia, Wilcoxon signed-rank test

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, 0.5], {s, 8, 100}] (* coded after Peter Mitic *)

Crossrefs

Cf. A226329 (5%), A226330 (2.5%), A226331 (1%).

Sequence in context: A258782 A349993 A007078 * A226331 A333601 A316312

Adjacent sequences: A226329 A226330 A226331 * A226333 A226334 A226335

Keyword

nonn

Author

Jean-François Alcover, Jun 04 2013

Status

approved