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*The author of this computation has been verified*

R Software Module

rwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Tue, 21 Dec 2010 16:18:53 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/21/t1292948266rq8uwoowor6xdmj.htm/, Retrieved Sun, 19 May 2024 21:14:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=113719, Retrieved Sun, 19 May 2024 21:14:30 +0000

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-       [Kendall tau Correlation Matrix] [Kendall tau Corre...] [2010-12-21 16:18:53] [0605ea080d54454c99180f574351b8e4] [Current]
-    D    [Kendall tau Correlation Matrix] [Kendall tau Corre...] [2010-12-21 19:50:01] [b3140021f9a1a3896de9ecbfce0f1101] 

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Dataseries X:

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Histogram

Boxplots

15.73	3.56	142.86
16.17	1.33	380.71
12.00	0.00	460.00
12.86	0.69	361.43
10.30	10.05	140.00
12.97	0.51	275.00
12.06	0.91	274.29
10.49	2.67	212.86
5.97	1.39	172.86
9.26	1.24	186.43
9.74	2.79	77.14
5.46	3.37	17.86
2.71	1.60	37.14
3.90	4.73	42.86
1.51	0.79	85.00
5.01	0.67	45.00
2.96	0.00	206.43
-1.97	0.60	178.57
-4.61	0.40	285.71
4.27	2.24	58.57
4.01	5.74	88.57
0.04	0.06	309.29
3.04	0.87	58.57
2.29	4.91	132.14
4.37	1.93	3.57
6.39	0.41	102.86
5.74	1.21	185.71
7.64	2.01	177.14
7.07	0.00	530.00
6.23	6.49	162.86
10.20	0.00	553.57
14.07	0.31	258.57
12.83	4.87	326.43
12.04	1.37	580.00
11.97	0.19	286.43
12.63	0.34	310.71
13.56	3.60	148.57
15.66	0.10	627.14
16.34	2.10	477.86
14.09	0.10	385.71
15.03	7.27	327.86
16.09	0.76	402.14
19.27	1.09	567.86
22.50	0.34	678.57
16.07	4.13	253.57
19.11	1.89	459.29
18.66	3.80	331.43
18.29	2.47	421.43
20.26	0.00	595.00
19.20	1.01	425.71
20.10	1.21	603.57
17.93	0.54	420.00
16.11	2.86	308.57
16.90	0.04	325.00
16.14	1.03	319.29
15.04	0.23	452.86
13.41	0.20	83.57
14.14	13.87	99.43
9.59	0.36	312.71
10.74	0.56	128.00
11.67	1.98	152.67
8.09	3.83	135.00
10.07	1.46	57.71
11.80	2.00	190.43
12.01	4.96	12.86
6.61	2.76	32.43
6.47	2.10	38.29
-3.11	2.09	210.14
1.94	2.21	109.14
1.10	2.90	71.43
-3.40	0.57	102.29
1.64	1.79	48.43
3.11	0.80	70.43
-0.16	2.66	139.86
3.80	1.70	83.14
-2.39	0.79	27.71
1.51	0.30	96.14
7.24	8.09	40.57
2.00	0.97	364.71
2.11	0.07	207.43
10.54	1.47	156.29
11.10	2.74	229.00
7.34	3.14	160.43
9.53	0.96	357.43
9.71	0.00	542.00
10.14	0.00	578.43
13.93	2.80	427.43
8.33	0.23	130.29
8.31	2.69	174.29
13.83	0.23	679.14
14.50	3.60	389.43
16.71	0.93	532.57
16.49	2.56	253.71
14.57	0.74	414.14
19.04	0.07	719.71
22.84	0.76	639.86
22.23	2.73	619.71
19.56	4.30	507.14
19.76	0.19	463.86
18.36	1.19	254.14
16.99	1.43	226.29
16.87	9.63	299.57
18.50	10.44	274.00
16.51	4.36	253.29

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113719&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113719&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113719&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Correlations for all pairs of data series (method=kendall)
	Temperatuur	Neerslag	Zonneschijnduur
Temperatuur	1	0.016	0.476
Neerslag	0.016	1	-0.258
Zonneschijnduur	0.476	-0.258	1

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Temperatuur & Neerslag & Zonneschijnduur \tabularnewline
Temperatuur & 1 & 0.016 & 0.476 \tabularnewline
Neerslag & 0.016 & 1 & -0.258 \tabularnewline
Zonneschijnduur & 0.476 & -0.258 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113719&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Temperatuur[/C][C]Neerslag[/C][C]Zonneschijnduur[/C][/ROW]
[ROW][C]Temperatuur[/C][C]1[/C][C]0.016[/C][C]0.476[/C][/ROW]
[ROW][C]Neerslag[/C][C]0.016[/C][C]1[/C][C]-0.258[/C][/ROW]
[ROW][C]Zonneschijnduur[/C][C]0.476[/C][C]-0.258[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113719&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113719&T=1

As an alternative you can also use a QR Code:

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

Correlations for all pairs of data series (method=kendall)
	Temperatuur	Neerslag	Zonneschijnduur
Temperatuur	1	0.016	0.476
Neerslag	0.016	1	-0.258
Zonneschijnduur	0.476	-0.258	1

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
Temperatuur;Neerslag	0.0844	0.0208	0.0161
p-value	(0.3942)	(0.8339)	(0.8091)
Temperatuur;Zonneschijnduur	0.6486	0.6724	0.4762
p-value	(0)	(0)	(0)
Neerslag;Zonneschijnduur	-0.2869	-0.3768	-0.2585
p-value	(0.0031)	(1e-04)	(1e-04)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
Temperatuur;Neerslag & 0.0844 & 0.0208 & 0.0161 \tabularnewline
p-value & (0.3942) & (0.8339) & (0.8091) \tabularnewline
Temperatuur;Zonneschijnduur & 0.6486 & 0.6724 & 0.4762 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Neerslag;Zonneschijnduur & -0.2869 & -0.3768 & -0.2585 \tabularnewline
p-value & (0.0031) & (1e-04) & (1e-04) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113719&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]Temperatuur;Neerslag[/C][C]0.0844[/C][C]0.0208[/C][C]0.0161[/C][/ROW]
[ROW][C]p-value[/C][C](0.3942)[/C][C](0.8339)[/C][C](0.8091)[/C][/ROW]
[ROW][C]Temperatuur;Zonneschijnduur[/C][C]0.6486[/C][C]0.6724[/C][C]0.4762[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Neerslag;Zonneschijnduur[/C][C]-0.2869[/C][C]-0.3768[/C][C]-0.2585[/C][/ROW]
[ROW][C]p-value[/C][C](0.0031)[/C][C](1e-04)[/C][C](1e-04)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113719&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113719&T=2

As an alternative you can also use a QR Code:

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

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
Temperatuur;Neerslag	0.0844	0.0208	0.0161
p-value	(0.3942)	(0.8339)	(0.8091)
Temperatuur;Zonneschijnduur	0.6486	0.6724	0.4762
p-value	(0)	(0)	(0)
Neerslag;Zonneschijnduur	-0.2869	-0.3768	-0.2585
p-value	(0.0031)	(1e-04)	(1e-04)

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code