Wilcoxon Rank-Sum Table

In the following tables n1 is the size of the smaller sample and n2 is the size of the larger sample. See Wilcoxon Rank-Sum Test for details. Note that α for a one-tail test (lower tail) is equivalent to 2α for a two-tail test.

Alpha = .01 (two-tailed)

Alpha = .05 (two-tailed)

Alpha = .20 (two-tailed)

9 Responses to Wilcoxon Rank-Sum Table

Hi Charlez,
I am little confused, why the result of table is different from table in page 1097 in this link: http://www.stat.ufl.edu/~athienit/Tables/tables.pdf

• Charles says:

There is some fluctuation between statistical tables from different sources. I checked the TL values at alpha = .05, two-tails, for n2 = 10. The values in the table in the site you referenced are generally 1 unit higher than in the table on my site. I don’t know why the two sources got different values. The values on my site appear in many references, including Howell’s textbook, Statistical Methods for Psychology.
Charles

Thanks for reply. I will take a look at Howell’s textbook.
good luck!

2. Navdeep Singh says:

Hello Sir,
My n1 and n2 are 50. I dont know how to find value corresponding to these values in table.

• Charles says:

Navdeep,
For values above 20, you don’t need to use the table. Instead you should use the normal approximation as described on the website.
Charles

3. Chrissy says:

If I have a sample size of 9 and 18 can I still use the ‘=NORM.DIST(A1,A6, B8, TRUE) function described for calculating P values for larger sample sizes?

• Charles says:

Chrissy,
The normal approximation is probably ok, but it is marginal. I wouldn’t be surprised that the result is more or less the same with that using the table of critical values.
Charles

• Chrissy says:

Thanks very much for your comment, also your whole webpage has helped me no end so thanks very much, it’s a brilliant resource!
When I used the NORM.DIST function my W’ value was larger than W (so I actually used 1- NORM.DIST…) and Wcrit value was more or less the same as my W’ value, rather than W. Presumably this is okay?
Many thanks

• Charles says:

Chrissy,
I am pleased that I have been able to help you.
Probably this is ok, but I’d have to see the details to say for sure.
Charles