Le Monde rank test (corr’d)

[This article was first published on Xi'an's Og » R, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

Since my first representation of the rank statistic as paired was incorrect, here is the histogram produced by the simulation

perm=sample(1:20)
saple[t]=sum(abs(sort(perm[1:10])-sort(perm[11:20])))

when n=20. It is obviously much closer to zero than previously.

An interesting change is that the regression of the log-mean on log(n) produces

> lm(log(memean)~log(enn))
Call:
lm(formula = log(memean) ~ log(enn))
Coefficients:
(Intercept)     log(enn)
 -1.162        1.499

meaning that the mean is in n^{3/2} rather than in n or n^2:

> summary(lm(memean~eth-1))
Coefficients:
      Estimate Std. Error t value Pr(>|t|)
eth 0.3117990  0.0002719    1147   <2e-16 ***

with a very good fit.


Filed under: R, Statistics Tagged: Le Monde, puzzle, R, Spearman rank test

To leave a comment for the author, please follow the link and comment on their blog: Xi'an's Og » R.

R-bloggers.com offers daily e-mail updates about R news and tutorials about learning R and many other topics. Click here if you're looking to post or find an R/data-science job.
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

Never miss an update!
Subscribe to R-bloggers to receive
e-mails with the latest R posts.
(You will not see this message again.)

Click here to close (This popup will not appear again)