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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_pairs.wasp
Title produced by softwareKendall tau Correlation Matrix
Date of computationThu, 22 Dec 2011 05:18:02 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/22/t1324549140dc52ae06hh5hp4r.htm/, Retrieved Fri, 03 May 2024 08:03:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159247, Retrieved Fri, 03 May 2024 08:03:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kendall tau Correlation Matrix] [] [2010-12-05 18:04:16] [b98453cac15ba1066b407e146608df68]
- RMPD  [Kendall tau Correlation Matrix] [PAPER: werklooshe...] [2011-12-22 10:16:09] [f0cb027b41af06223bae4ee77475f3bc]
- R  D      [Kendall tau Correlation Matrix] [PAPER: werklooshe...] [2011-12-22 10:18:02] [6baf48ba14bcb50d9e72b77bece8a45b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.072	0.0213	0.0083
0.073	0.0218	0.2529
0.073	0.0290	0.0211
0.073	0.0263	-0.0456
0.074	0.0267	0.0742
0.073	0.0181	-0.0483
0.074	0.0133	0.0081
0.074	0.0088	0.0708
0.076	0.0128	0.0851
0.076	0.0126	-0.1376
0.077	0.0126	0.1800
0.077	0.0129	-0.0837
0.078	0.0110	0.0540
0.078	0.0137	0.0063
0.080	0.0121	-0.0349
0.081	0.0174	0.1109
0.081	0.0176	-0.0058
0.082	0.0148	0.1359
0.081	0.0104	0.0242
0.081	0.0162	0.0734
0.081	0.0149	0.1283
0.080	0.0179	0.0977
0.082	0.0180	0.0650
0.084	0.0158	0.0464
0.084	0.0186	-0.0839
0.085	0.0174	0.1260
0.086	0.0159	0.0313
0.085	0.0126	0.0691
0.083	0.0113	0.1939
0.078	0.0192	0.0797
0.078	0.0261	0.0347
0.080	0.0226	0.0739
0.086	0.0241	-0.1326
0.089	0.0226	0.0445
0.089	0.0203	0.0448
0.086	0.0286	0.0097
0.083	0.0255	0.1797
0.083	0.0227	-0.1146
0.083	0.0226	0.1085
0.084	0.0257	-0.0833
0.085	0.0307	-0.0764
0.084	0.0276	-0.0620
0.086	0.0251	0.0991
0.085	0.0287	0.0879
0.085	0.0314	0.0146
0.085	0.0311	0.0426
0.085	0.0316	-0.0179
0.085	0.0247	-0.0576
0.085	0.0257	-0.1365
0.085	0.0289	0.0546
0.085	0.0263	0.0647
0.086	0.0238	0.0831
0.086	0.0169	-0.1037
0.086	0.0196	-0.0646
0.086	0.0219	0.0111
0.084	0.0187	-0.1440
0.080	0.0160	-0.0766
0.079	0.0163	-0.0981
0.080	0.0122	-0.1432
0.080	0.0121	0.0408
0.080	0.0149	0.0932
0.080	0.0164	-0.0340
0.079	0.0166	-0.1324
0.079	0.0177	-0.0695
0.079	0.0182	0.0512
0.080	0.0178	0.1010
0.079	0.0128	-0.1331
0.075	0.0129	0.0000
0.072	0.0137	0.0155
0.070	0.0112	0.0393
0.069	0.0151	0.1218
0.071	0.0224	0.1916
0.071	0.0294	-0.0122
0.072	0.0309	-0.0368
0.071	0.0346	0.0670
0.069	0.0364	-0.0404
0.068	0.0439	-0.0042
0.067	0.0415	0.0933
0.067	0.0521	-0.0047
0.069	0.0580	0.2531
0.073	0.0591	0.3546
0.074	0.0539	0.0378
0.073	0.0546	0.1578
0.071	0.0472	-0.0282
0.070	0.0314	0.0909
0.071	0.0263	0.3641
0.075	0.0232	0.1314
0.077	0.0193	0.2723
0.078	0.0062	0.4070
0.077	0.0060	0.1035
0.077	-0.0037	0.1669
0.078	-0.0110	-0.0109
0.080	-0.0168	0.0019
0.081	-0.0078	0.0840
0.081	-0.0119	0.0807
0.080	-0.0097	0.0157
0.081	-0.0012	0.2599
0.082	0.0026	-0.0886
0.083	0.0062	0.0465
0.084	0.0070	0.0089
0.085	0.0166	-0.0278
0.085	0.0180	-0.0203
0.085	0.0227	0.0845
0.085	0.0246	0.0442
0.085	0.0257	0.1165
0.083	0.0232	0.1318
0.082	0.0291	0.0323
0.081	0.0301	0.0321
0.079	0.0286	-0.1132
0.076	0.0310	-0.0281
0.073	0.0322	-0.0395
0.071	0.0339	0.0758
0.070	0.0352	0.0235
0.070	0.0341	-0.0505
0.070	0.0335	0.2513
0.070	0.0367	-0.0814
0.069	0.0375	0.0084
0.068	0.0360	-0.0274
0.067	0.0355	0.1124
0.066	0.0357	0.2569

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159247&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159247&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159247&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.wessa.net






Correlations for all pairs of data series (method=kendall)
WerkloosheidsgraadInflatieAantalFaillissementen
Werkloosheidsgraad1-0.173-0.086
Inflatie-0.1731-0.007
AantalFaillissementen-0.086-0.0071

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Werkloosheidsgraad & Inflatie & AantalFaillissementen \tabularnewline
Werkloosheidsgraad & 1 & -0.173 & -0.086 \tabularnewline
Inflatie & -0.173 & 1 & -0.007 \tabularnewline
AantalFaillissementen & -0.086 & -0.007 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159247&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Werkloosheidsgraad[/C][C]Inflatie[/C][C]AantalFaillissementen[/C][/ROW]
[ROW][C]Werkloosheidsgraad[/C][C]1[/C][C]-0.173[/C][C]-0.086[/C][/ROW]
[ROW][C]Inflatie[/C][C]-0.173[/C][C]1[/C][C]-0.007[/C][/ROW]
[ROW][C]AantalFaillissementen[/C][C]-0.086[/C][C]-0.007[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159247&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159247&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Correlations for all pairs of data series (method=kendall)
WerkloosheidsgraadInflatieAantalFaillissementen
Werkloosheidsgraad1-0.173-0.086
Inflatie-0.1731-0.007
AantalFaillissementen-0.086-0.0071






Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Werkloosheidsgraad;Inflatie-0.3809-0.2719-0.1727
p-value(0)(0.0027)(0.0065)
Werkloosheidsgraad;AantalFaillissementen-0.2026-0.1257-0.0861
p-value(0.0264)(0.1711)(0.1738)
Inflatie;AantalFaillissementen0.0691-0.0134-0.0072
p-value(0.4531)(0.8846)(0.9079)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
Werkloosheidsgraad;Inflatie & -0.3809 & -0.2719 & -0.1727 \tabularnewline
p-value & (0) & (0.0027) & (0.0065) \tabularnewline
Werkloosheidsgraad;AantalFaillissementen & -0.2026 & -0.1257 & -0.0861 \tabularnewline
p-value & (0.0264) & (0.1711) & (0.1738) \tabularnewline
Inflatie;AantalFaillissementen & 0.0691 & -0.0134 & -0.0072 \tabularnewline
p-value & (0.4531) & (0.8846) & (0.9079) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159247&T=2

[TABLE]
[ROW][C]Correlations for all pairs of data series with p-values[/C][/ROW]
[ROW][C]pair[/C][C]Pearson r[/C][C]Spearman rho[/C][C]Kendall tau[/C][/ROW]
[ROW][C]Werkloosheidsgraad;Inflatie[/C][C]-0.3809[/C][C]-0.2719[/C][C]-0.1727[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0.0027)[/C][C](0.0065)[/C][/ROW]
[ROW][C]Werkloosheidsgraad;AantalFaillissementen[/C][C]-0.2026[/C][C]-0.1257[/C][C]-0.0861[/C][/ROW]
[ROW][C]p-value[/C][C](0.0264)[/C][C](0.1711)[/C][C](0.1738)[/C][/ROW]
[ROW][C]Inflatie;AantalFaillissementen[/C][C]0.0691[/C][C]-0.0134[/C][C]-0.0072[/C][/ROW]
[ROW][C]p-value[/C][C](0.4531)[/C][C](0.8846)[/C][C](0.9079)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159247&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159247&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Werkloosheidsgraad;Inflatie-0.3809-0.2719-0.1727
p-value(0)(0.0027)(0.0065)
Werkloosheidsgraad;AantalFaillissementen-0.2026-0.1257-0.0861
p-value(0.0264)(0.1711)(0.1738)
Inflatie;AantalFaillissementen0.0691-0.0134-0.0072
p-value(0.4531)(0.8846)(0.9079)


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = pearson ;
Parameters (R input):
par1 = kendall ;
R code (references can be found in the software module):
panel.tau <- function(x, y, digits=2, prefix='', cex.cor)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(0, 1, 0, 1))
rr <- cor.test(x, y, method=par1)
r <- round(rr$p.value,2)
txt <- format(c(r, 0.123456789), digits=digits)[1]
txt <- paste(prefix, txt, sep='')
if(missing(cex.cor)) cex <- 0.5/strwidth(txt)
text(0.5, 0.5, txt, cex = cex)
}
panel.hist <- function(x, ...)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(usr[1:2], 0, 1.5) )
h <- hist(x, plot = FALSE)
breaks <- h$breaks; nB <- length(breaks)
y <- h$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
n
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$estimate,3))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Correlations for all pairs of data series with p-values',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'Pearson r',1,TRUE)
a<-table.element(a,'Spearman rho',1,TRUE)
a<-table.element(a,'Kendall tau',1,TRUE)
a<-table.row.end(a)
cor.test(y[1,],y[2,],method=par1)
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste(dimnames(t(x))[[2]][i],';',dimnames(t(x))[[2]][j],sep='')
a<-table.element(a,dum,header=TRUE)
rp <- cor.test(y[i,],y[j,],method='pearson')
a<-table.element(a,round(rp$estimate,4))
rs <- cor.test(y[i,],y[j,],method='spearman')
a<-table.element(a,round(rs$estimate,4))
rk <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,round(rk$estimate,4))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=T)
a<-table.element(a,paste('(',round(rp$p.value,4),')',sep=''))
a<-table.element(a,paste('(',round(rs$p.value,4),')',sep=''))
a<-table.element(a,paste('(',round(rk$p.value,4),')',sep=''))
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable1.tab')