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*Unverified author*

R Software Module

rwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Sun, 25 Nov 2007 14:56:10 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/25/t1196027429kf4ldwpmiemie5j.htm/, Retrieved Sat, 04 May 2024 08:24:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6562, Retrieved Sat, 04 May 2024 08:24:45 +0000

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No (this computation is public)

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Estimated Impact

168

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Kendall tau Correlation Matrix] [Q3Correlation matrix] [2007-11-25 21:56:10] [1dd4e56f2879fe34e71a5ad240ab3149] [Current]

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Dataseries X:

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Histogram

Boxplots

88.74	88.95	89.59	0.42
88.92	88.81	89.61	0.74
88.77	88.90	89.36	1.02
89.17	90.15	89.53	1.51
89.61	90.92	90.17	1.86
89.52	90.78	89.97	1.59
89.74	90.81	89.98	1.03
89.40	89.46	89.92	0.44
89.36	89.22	90.07	0.82
89.38	88.89	90.13	0.86
89.36	89.41	90.08	0.57
89.29	89.59	89.76	0.59
89.59	90.25	89.78	0.95
89.79	90.20	89.81	0.98
89.86	90.27	90.08	1.23
90.21	90.71	90.62	1.17
90.37	91.18	90.68	0.84
90.19	90.66	90.49	0.74
90.33	89.72	90.96	0.65
90.22	88.72	91.28	0.91
90.42	88.91	91.58	1.19
90.54	89.15	91.72	1.3
90.73	89.15	92	1.53
91.02	89.08	92.57	1.94
91.19	89.28	92.58	1.79
91.53	89.47	93.15	1.95
91.88	89.53	93.7	2.26
92.06	90.72	93.34	2.04
92.32	90.91	93.93	2.16
92.67	91.38	94.41	2.75
92.85	91.49	94.3	2.79
92.82	90.90	94.44	2.88
93.46	90.93	96.09	3.36
93.23	90.57	95.99	2.97
93.54	91.28	96.23	3.1
93.29	90.83	95.64	2.49
93.20	91.50	94.88	2.2
93.60	91.58	95.48	2.25
93.81	92.49	95.52	2.09
94.62	94.16	96.18	2.79
95.22	95.46	96.82	3.14
95.38	95.80	96.81	2.93
95.31	95.32	96.25	2.65
95.30	95.41	96.24	2.67
95.57	95.35	96.95	2.26
95.42	95.68	96.25	2.35
95.53	95.59	96.04	2.13
95.33	94.96	95.78	2.18
95.90	96.92	95.86	2.90
96.06	96.06	96.02	2.63
96.31	96.59	96.34	2.67
96.34	96.67	96.84	1.81
96.49	97.27	96.73	1.33
96.22	96.38	96.34	0.88
96.53	96.47	96.60	1.28
96.50	96.05	96.64	1.26
96.77	96.76	97.20	1.26
96.66	96.51	97.50	1.29
96.58	96.55	96.99	1.10
96.63	95.97	97.08	1.37
97.06	97.00	97.55	1.21
97.73	97.46	98.42	1.74
98.01	97.90	98.78	1.76
97.76	98.42	97.49	1.48
97.49	98.54	96.99	1.04
97.77	99.00	97.16	1.62
97.96	98.94	97.29	1.49
98.23	99.02	97.80	1.79
98.51	100.07	98.12	1.80
98.19	98.72	98.03	1.58
98.37	98.73	98.11	1.86
98.31	98.04	98.07	1.74
98.60	99.08	98.21	1.59
98.97	99.22	98.48	1.26
99.11	99.57	98.83	1.13
99.64	100.44	99.20	1.92
100.03	100.84	99.88	2.61
99.98	100.75	99.71	2.26
100.32	100.49	100.03	2.41
100.44	99.98	100.60	2.26
100.51	99.96	100.85	2.03
101.00	99.76	101.96	2.86
100.88	100.11	101.40	2.55
100.55	99.79	100.81	2.27
100.83	100.29	100.66	2.26
101.51	101.12	101.55	2.57
102.16	102.65	102.23	3.07
102.39	102.71	102.90	2.76
102.54	103.39	102.68	2.51
102.85	102.80	103.41	2.87
103.47	102.07	104.62	3.14
103.57	102.15	104.93	3.11
103.69	101.21	105.88	3.16
103.50	101.27	105.18	2.47
103.47	101.86	104.54	2.57
103.45	101.65	104.58	2.89
103.48	101.94	104.34	2.63
103.93	102.62	104.66	2.38
103.89	102.71	104.73	1.69
104.40	103.39	105.44	1.96
104.79	104.51	105.72	2.19
104.77	104.09	105.68	1.87
105.13	104.29	105.90	1.60
105.26	104.57	105.97	1.63
104.96	105.39	105.21	1.22
104.75	105.15	104.75	1.21
105.01	106.13	104.89	1.49
105.15	105.46	105.26	1.64
105.20	106.47	104.84	1.66
105.77	106.62	105.47	1.77
105.78	106.52	105.40	1.82
106.26	108.04	105.73	1.78
106.13	107.15	105.72	1.28
106.12	107.32	105.63	1.29
106.57	107.76	105.97	1.37
106.44	107.26	105.92	1.12
106.54	107.89	106.32	1.51

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6562&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6562&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6562&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( 1 , 2 )	0.890838065366777	0
tau( 1 , 3 )	0.936891813076935	0
tau( 1 , 4 )	0.198656328741282	0.00153111891082314
tau( 2 , 3 )	0.842144089022398	0
tau( 2 , 4 )	0.174298696531388	0.0054358926151512
tau( 3 , 4 )	0.222944844214496	0.000377790875889961

\begin{tabular}{lllllllll}
\hline
Kendall tau rank correlations for all pairs of data series \tabularnewline
pair & tau & p-value \tabularnewline
tau( 1 , 2 ) & 0.890838065366777 & 0 \tabularnewline
tau( 1 , 3 ) & 0.936891813076935 & 0 \tabularnewline
tau( 1 , 4
 ) & 0.198656328741282 & 0.00153111891082314 \tabularnewline
tau( 2 , 3 ) & 0.842144089022398 & 0 \tabularnewline
tau( 2 , 4
 ) & 0.174298696531388 & 0.0054358926151512 \tabularnewline
tau( 3 , 4
 ) & 0.222944844214496 & 0.000377790875889961 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6562&T=1

[TABLE]
[ROW][C]Kendall tau rank correlations for all pairs of data series[/C][/ROW]
[ROW][C]pair[/C][C]tau[/C][C]p-value[/C][/ROW]
[ROW][C]tau( 1 , 2 )[/C][C]0.890838065366777[/C][C]0[/C][/ROW]
[ROW][C]tau( 1 , 3 )[/C][C]0.936891813076935[/C][C]0[/C][/ROW]
[ROW][C]tau( 1 , 4
 )[/C][C]0.198656328741282[/C][C]0.00153111891082314[/C][/ROW]
[ROW][C]tau( 2 , 3 )[/C][C]0.842144089022398[/C][C]0[/C][/ROW]
[ROW][C]tau( 2 , 4
 )[/C][C]0.174298696531388[/C][C]0.0054358926151512[/C][/ROW]
[ROW][C]tau( 3 , 4
 )[/C][C]0.222944844214496[/C][C]0.000377790875889961[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6562&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6562&T=1

As an alternative you can also use a QR Code:

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

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( 1 , 2 )	0.890838065366777	0
tau( 1 , 3 )	0.936891813076935	0
tau( 1 , 4 )	0.198656328741282	0.00153111891082314
tau( 2 , 3 )	0.842144089022398	0
tau( 2 , 4 )	0.174298696531388	0.0054358926151512
tau( 3 , 4 )	0.222944844214496	0.000377790875889961

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

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='kendall')
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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kendall tau rank correlations for all pairs of data series',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'tau',1,TRUE)
a<-table.element(a,'p-value',1,TRUE)
a<-table.row.end(a)
n <- length(y[,1])
n
cor.test(y[1,],y[2,],method='kendall')
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste('tau(',dimnames(t(x))[[2]][i])
dum <- paste(dum,',')
dum <- paste(dum,dimnames(t(x))[[2]][j])
dum <- paste(dum,')')
a<-table.element(a,dum,header=TRUE)
r <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,r$estimate)
a<-table.element(a,r$p.value)
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')

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Input Parameters & R Code