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A226330 Critical values of Wilcoxon T test at a 2.5% level of significance (one-tail test). 3
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-Fran├žois Alcover, Jun 04 2013

STATUS

approved

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Last modified November 18 19:59 EST 2019. Contains 329288 sequences. (Running on oeis4.)