NonParametric Statistical Toolbox: KendallTau(x,y) - File Exchange

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NonParametric Statistical Toolbox

KendallTau(x,y)
MakeCorr(V)
[data,data2,k,k2]=npar_wilcox... npar_wilcoxrsum called by npar_main performs nonparametric wilcoxon rank-sum test
[data,k]=npar_vdwaerden(data,... npar_vdwaerden called by npar_main performs nonparametric Van Der Waerden normal scores test
[data,k]=npar_wilcoxsr(data,k) npar_wilcoxsr called by npar_main performs nonparametric wilcoxon signed-rank test
[datasign,signs,signpval,sign... npar_sign called by npar_main performs nonparametric sign test
[datasign,signs,signpval,sign... npar_sign called by npar_main performs nonparametric sign test
[mcpval,mcsplus]=npar_pitmanm... npar_pitmanmc called by npar_main performs nonparametric pitman Monte Carlo test
[p, r, t, R, T ] =SpearmanRan...
[pitind,meansmall,datasmallsu... npar_pitmanind called by npar_main performs nonparametric pitman test for independent samples
[runsrandompval,runsrandompva... npar_runsrandom called by npar_main performs nonparametric runs test for randomness
[spit,statm,sminus,pval1,stat... npar_pitman called by npar_main performs nonparametric pitman test
[tkstat,pval1,pval2,tknormalp... npar_kendallrank called by npar_main performs nonparametric kendall rank correlation coefficient test
[unstat,umstat,u1,pval1,u2,pv... npar_wilcoxmwrsum called by npar_main performs nonparametric wilcoxon-mann-whitney rank-sum test
[unstat,umstat,u1,pval1,u2,pv... npar_wmwrsum called by npar_main performs nonparametric wilcoxon-mann-whitney rank-sum test
gammax(z)
npar_main(method,data,data2,t... npar_main is the main program for Erik's Matlab nonparametric statistical toolbox
npar_wilcoxsr_ci(dataorg,k,n,... npar_wilcoxsr_ci called by npar_main performs nonparametric wilcox signed-rank confidence intervals
pitman_mc(data,testmedian,n) Pitman_MC finds Monte Carlo test for right-tail Pitman test
npar_data.m
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from NonParametric Statistical Toolbox by Erik Erhardt
These are MatLab functions for performing Exact and approximate NonParametric statistics on small da

KendallTau(x,y)

function Tau = KendallTau(x,y)
%
%   Tau = KendallTau(x,y)
%
%   Carlos J. Morales
%   March 2003

n = length(x);
xrank = tiedrank(x);
yrank = tiedrank(y);
xsort = sort(x);
Con = zeros(1,n);
Dis = zeros(1,n);

for i = 1:n-1
        Con(i) = sum(yrank(i)<yrank(i:end));
        Dis(i) = sum(yrank(i)>yrank(i:end));
end

concordant = sum(Con);
discordant = sum(Dis);

Tau = (concordant-discordant)/((1/2)*(n*(n-1)));

Highlights from NonParametric Statistical Toolbox

Highlights from
NonParametric Statistical Toolbox