# [R] Calculating Kendall's tau

David Winsemius dwinsemius at comcast.net
Thu Apr 2 19:16:46 CEST 2015

```On Apr 2, 2015, at 7:06 AM, S Ellison wrote:

>> I am analyzing trend  using Mann-kendall  test for 31 independent sample, each
>> sample  have 34 years dataset.  I supposed to find Kendall “tau” for each
>> sample. The data is arranged in column wise (I attached  the data).To find
>> Kendall tau, I wrote R script as:
>> ...
>> Anyone can tell me how can I get orderly displayed  “tau” value?
>
> Usually, in R, a hypothesis test returns an object, and you can extract an individual element of that object.
>
> MannKendall seems to be no exception. Looking at the help page, a MannKendall test returns...
> " A list with class Kendall.
> tau 	Kendall’s tau statistic
> sl 	two-sided p-value
> S	Kendall Score
> D	denominator, tau=S/D
> varS	variance of S"
>
> To get just tau, say something like MannKendalltau[i]<-MannKendall(y[,i])\$tau
>
> But your code is a bit of a mess....
> MannKendalltau<- numeric(nc) simply makes MannKendalltau a single integer equal to nc; that doesn't look sensible when the next thing you do is treat MannKendalltau as a vector. R's been kind to you and extended MannKendalltau when you tried to add things to later, non-existent, elements, but it clearly wasn't the right thing to do. Look up ?numeric, and then look up ?vector for next time you want to set up an empty vector.
>
> Second, since MannKendall(y[,i]) ) returns a list object of class Kendall, MannKendalltau[i]<-MannKendall(y[,i]) assigns a whole  object containing 5 values to each new element of your MannKendalltau. So your result is a list of lists.
>
> Finally, you don’t need a loop at all. On a data frame, sapply would work nicely, so (although I've not tested it) something like
>
> sapply(desta[,2:nc], 2, function(x) ManKendall(x)\$tau)

That looks more line an apply call. The second argument to sapply needs to be a function or function name.

--
David.
>
> ought to do the whole thing in one shot and package it nicely into a named vector while it's about it.
>
> S Ellison
>
>
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