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A226332 Critical values of Wilcoxon T test at a 0.5% level of significance (one-tail test). 3
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 (list; graph; refs; listen; history; text; internal format)
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: A025218 A258782 A007078 * A226331 A316312 A118015

Adjacent sequences:  A226329 A226330 A226331 * A226333 A226334 A226335

KEYWORD

nonn

AUTHOR

Jean-Fran├žois Alcover, Jun 04 2013

STATUS

approved

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Last modified October 16 23:30 EDT 2019. Contains 328103 sequences. (Running on oeis4.)