A226330 - OEIS

A226330

Critical values of Wilcoxon T test at a 2.5% level of significance (one-tail test).

0, 2, 3, 5, 8, 10, 13, 17, 21, 25, 29, 34, 40, 46, 52, 58, 65, 73, 81, 89, 98, 107, 116, 126, 137, 147, 159, 170, 182, 195, 208, 221, 235, 249, 264, 279, 294, 310, 327, 343, 361, 378, 396, 415, 434, 453, 473, 494, 514, 536, 557, 579, 602, 625, 648, 672, 697

(list; graph; refs; listen; history; text; internal format)

OFFSET

6,2

LINKS

Table of n, a(n) for n=6..62.

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, 2.5], {s, 6, 100}] (* coded after Peter Mitic *)

CROSSREFS

Cf. A226329 (5%), A226331 (1%), A226332 (0.5%).

Sequence in context: A215260 A004977 A186498 * A226329 A325548 A094568

Adjacent sequences: A226327 A226328 A226329 * A226331 A226332 A226333

KEYWORD

nonn

AUTHOR

Jean-François Alcover, Jun 04 2013

STATUS

approved