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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 computationTue, 28 Dec 2010 16:20:00 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/28/t1293553388mpa5rffqbz2wf54.htm/, Retrieved Sun, 05 May 2024 00:14:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116405, Retrieved Sun, 05 May 2024 00:14:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact121

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] [workshop 7] [2010-12-21 19:49:44] [efd13e24149aec704f3383e33c1e842a]
-    D  [Kendall tau Correlation Matrix] [onderling effect ...] [2010-12-27 12:39:51] [efd13e24149aec704f3383e33c1e842a]
-   PD      [Kendall tau Correlation Matrix] [Paper_KendallTau] [2010-12-28 16:20:00] [edf51d809b713abfc4095a7dca74558e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
112.52	108.06
112.39	108.22
112.24	107.96
112.10	107.16
109.85	107.01
111.89	107.64
111.88	108.35
111.48	108.45
110.98	108.08
110.42	106.51
107.90	105.52
109.46	105.82
109.11	105.07
109.26	105.88
109.99	106.32
110.17	106.49
110.28	105.96
109.13	105.82
110.15	105.94
109.39	106.25
108.45	105.81
108.23	105.44
107.44	104.20
104.86	103.32
106.23	103.35
105.85	103.92
104.95	103.76
104.46	103.60
104.66	102.89
103.05	102.77
104.16	103.55
104.08	104.09
104.20	104.05
103.68	103.47
103.69	102.16
101.29	101.50
103.03	101.75
102.90	102.10
102.68	102.12
102.98	102.30
103.47	101.81
101.72	101.32
102.82	101.68
102.74	102.02
102.38	102.06
101.81	101.58
101.88	100.78
99.60	100.28
100.93	100.06
100.85	100.46
100.93	100.78
101.10	100.78
101.10	99.90
99.31	99.58
100.33	99.90
99.99	100.22
99.82	100.30
99.65	100.14
99.06	99.34
96.92	98.53
98.20	98.05
98.54	98.85
98.71	99.26
98.20	99.10
98.29	98.29
96.67	98.13
97.69	98.45
97.78	99.18
97.44	99.01
96.92	98.69
96.84	97.89
95.05	97.33
96.33	96.84
96.33	97.41
96.16	97.81
96.50	97.97
96.33	97.16
94.71	96.92
95.82	97.00
95.47	97.49
95.82	97.57
95.99	97.49
95.73	96.60
93.77	95.88
94.71	95.31
94.62	95.48
94.79	95.96
94.88	96.04
94.79	95.07
93.43	94.91
94.37	94.99
94.62	95.31
94.45	95.48
94.37	94.83
94.20	93.87
92.66	93.38
93.51	92.34
93.60	92.50
93.60	92.74
93.77	92.66
93.60	91.70
92.41	91.45
93.60	91.53
93.34	91.86
92.92	91.61
92.07	90.89
91.89	89.85
90.27	89.04
91.72	87.83
91.98	88.24
91.81	88.32
91.98	88.00
91.30	87.19
89.93	86.87
90.87	87.11
90.53	87.11
90.27	86.87
90.10	86.55
89.68	85.58
87.89	85.10

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & 
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116405&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116405&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116405&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.






Correlations for all pairs of data series (method=kendall)
BelgiumNetherlands
Belgium10.943
Netherlands 0.9431

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Belgium & Netherlands
 \tabularnewline
Belgium & 1 & 0.943 \tabularnewline
Netherlands
 & 0.943 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116405&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Belgium[/C][C]Netherlands
[/C][/ROW]
[ROW][C]Belgium[/C][C]1[/C][C]0.943[/C][/ROW]
[ROW][C]Netherlands
[/C][C]0.943[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116405&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116405&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)
BelgiumNetherlands
Belgium10.943
Netherlands 0.9431






Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Belgium;Netherlands 0.95610.99470.9428
p-value(0)(0)(0)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
Belgium;Netherlands
 & 0.9561 & 0.9947 & 0.9428 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116405&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]Belgium;Netherlands
[/C][C]0.9561[/C][C]0.9947[/C][C]0.9428[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116405&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116405&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
Belgium;Netherlands 0.95610.99470.9428
p-value(0)(0)(0)


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = kendall ;
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')