login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A226331 Critical values of Wilcoxon T test at a 1% level of significance (one-tail test). 3
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 (list; graph; refs; listen; history; text; internal format)
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: A258782 A007078 A226332 * A316312 A118015 A265057

Adjacent sequences:  A226328 A226329 A226330 * A226332 A226333 A226334

KEYWORD

nonn

AUTHOR

Jean-Fran├žois Alcover, Jun 04 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 16 06:02 EDT 2019. Contains 328046 sequences. (Running on oeis4.)