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Author

*Unverified author*

R Software Module

rwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Wed, 11 Nov 2009 12:08:12 -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/2009/Nov/11/t12579669961t1mxj0tkfu1doq.htm/, Retrieved Sat, 20 Apr 2024 06:30:05 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55822, Retrieved Sat, 20 Apr 2024 06:30:05 +0000

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Original text written by user:

BEES: Bankruptcies related to enterprises (excl. Sole proprietorships) PBIS: Personal bankruptcies (incl. Sole proprietorships) PIMI: Production in the manufacturing industry TUPR: Total unemployed persons registered at the Unemployment Office

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

146

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

-       [Kendall tau Correlation Matrix] [Kendell Tau corre...] [2009-11-11 19:08:12] [e458b4e05bf28a297f8af8d9f96e59d6] [Current]

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Dataseries X:

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Histogram

Boxplots

100.0	100.0	100.0	100.0
88.4	102.3	100.6	95.3
92.7	141.1	114.2	90.7
71.3	111.6	91.5	88.4
64.4	118.6	94.7	86.0
94.9	125.6	110.6	86.0
70.9	81.4	71.3	95.3
69.5	102.3	104.1	95.3
77.5	96.9	112.3	88.4
80.0	93.8	110.2	86.0
89.8	101.6	112.9	81.4
76.7	75.2	95.1	83.7
76.4	102.3	103.1	95.3
80.0	139.5	101.9	88.4
77.1	109.3	100.4	86.0
69.5	125.6	106.9	83.7
65.5	118.6	100.7	76.7
70.9	100.8	114.3	79.1
49.5	60.5	73.3	86.0
71.3	72.9	105.9	86.0
66.2	64.3	113.9	79.1
60.4	62.0	112.1	76.7
53.5	72.9	117.5	69.8
45.5	41.1	97.5	69.8
59.6	68.2	112.3	76.7
61.8	87.6	106.9	69.8
62.2	107.8	120.9	67.4
50.9	55.8	92.7	65.1
56.4	58.1	110.9	58.1
56.7	70.5	116.5	60.5
51.3	53.5	77.1	65.1
60.7	55.0	113.1	62.8
62.2	70.5	115.9	55.8
74.9	72.9	123.5	51.2
68.0	73.6	123.6	48.8
45.1	63.6	101.5	48.8
59.3	83.7	121.0	53.5
56.0	79.1	112.2	48.8
82.2	99.2	126.0	46.5
45.5	59.7	101.8	44.2
58.9	76.0	117.9	39.5
52.7	65.1	122.2	41.9
35.6	44.2	82.7	48.8
46.5	54.3	120.5	46.5
57.8	55.0	120.3	41.9
76.0	58.9	134.2	39.5
54.5	60.5	128.2	37.2
45.5	40.3	100.5	37.2
77.8	48.8	126.0	41.9
70.2	53.5	122.9	39.5
50.9	57.4	106.1	39.5
74.5	79.1	130.4	34.9
69.8	69.0	121.3	34.9
69.8	73.6	126.1	34.9
67.6	60.5	88.7	41.9
54.5	62.0	118.7	41.9
89.5	72.9	129.3	39.5
102.5	99.2	136.2	39.5
96.0	62.8	123.0	41.9
122.2	65.1	103.5	46.5

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55822&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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55822&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55822&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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( BEES , PBIS )	0.42258548335604	2.24900262479899e-06
tau( BEES , PIMI )	0.146341840078911	0.0997646046717704
tau( BEES , TUPR )	0.217820234973389	0.0161833077427027
tau( PBIS , PIMI )	-0.0426748766510932	0.632204268815743
tau( PBIS , TUPR )	0.394586622197116	1.40000445960631e-05
tau( PIMI , TUPR )	-0.446791102785339	7.69385307066121e-07

\begin{tabular}{lllllllll}
\hline
Kendall tau rank correlations for all pairs of data series \tabularnewline
pair & tau & p-value \tabularnewline
tau( BEES , PBIS ) & 0.42258548335604 & 2.24900262479899e-06 \tabularnewline
tau( BEES , PIMI ) & 0.146341840078911 & 0.0997646046717704 \tabularnewline
tau( BEES , TUPR ) & 0.217820234973389 & 0.0161833077427027 \tabularnewline
tau( PBIS , PIMI ) & -0.0426748766510932 & 0.632204268815743 \tabularnewline
tau( PBIS , TUPR ) & 0.394586622197116 & 1.40000445960631e-05 \tabularnewline
tau( PIMI , TUPR ) & -0.446791102785339 & 7.69385307066121e-07 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55822&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( BEES , PBIS )[/C][C]0.42258548335604[/C][C]2.24900262479899e-06[/C][/ROW]
[ROW][C]tau( BEES , PIMI )[/C][C]0.146341840078911[/C][C]0.0997646046717704[/C][/ROW]
[ROW][C]tau( BEES , TUPR )[/C][C]0.217820234973389[/C][C]0.0161833077427027[/C][/ROW]
[ROW][C]tau( PBIS , PIMI )[/C][C]-0.0426748766510932[/C][C]0.632204268815743[/C][/ROW]
[ROW][C]tau( PBIS , TUPR )[/C][C]0.394586622197116[/C][C]1.40000445960631e-05[/C][/ROW]
[ROW][C]tau( PIMI , TUPR )[/C][C]-0.446791102785339[/C][C]7.69385307066121e-07[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55822&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55822&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( BEES , PBIS )	0.42258548335604	2.24900262479899e-06
tau( BEES , PIMI )	0.146341840078911	0.0997646046717704
tau( BEES , TUPR )	0.217820234973389	0.0161833077427027
tau( PBIS , PIMI )	-0.0426748766510932	0.632204268815743
tau( PBIS , TUPR )	0.394586622197116	1.40000445960631e-05
tau( PIMI , TUPR )	-0.446791102785339	7.69385307066121e-07

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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Tables (Output of Computation)

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Input Parameters & R Code