A226331 Critical values of Wilcoxon T test at a 1% level of significance (one-tail test).

0, 1, 3, 5, 7, 9, 12, 15, 19, 23, 27, 32, 37, 43, 49, 55, 62, 69, 76, 84, 92, 101, 110, 120, 130, 140, 151, 162, 173, 185, 198, 211, 224, 238, 252, 266, 281, 296, 312, 328, 345, 362, 379, 397, 416, 434, 454, 473, 493, 514, 535, 556, 578, 600, 623, 646, 669

Offset

7,3

Links

Table of n, a(n) for n=7..63.

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, 1], {s, 7, 100}] (* coded after Peter Mitic *)

Crossrefs

Cf. A226329 (5%), A226330 (2.5%), A226332 (0.5%).

Sequence in context: A349993 A007078 A226332 * A333601 A316312 A362128

Adjacent sequences: A226328 A226329 A226330 * A226332 A226333 A226334

Keyword

nonn

Author

Jean-François Alcover, Jun 04 2013

Status

approved