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Author

*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, 13 Dec 2011 13:45:05 -0500

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/2011/Dec/13/t1323801919e42jd3pi4uknuac.htm/, Retrieved Thu, 02 May 2024 23:25:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=154623, Retrieved Thu, 02 May 2024 23:25:33 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

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

-     [Multiple Regression] [] [2010-12-05 18:56:24] [b98453cac15ba1066b407e146608df68]
- RMPD    [Kendall tau Correlation Matrix] [WS 10 Kendall's t...] [2011-12-13 18:45:05] [cb05b01fd3da20a46af540a30bcf4c06] [Current]

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Dataseries X:

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Histogram

Boxplots

2	41	38	14	12
2	39	32	18	11
2	30	35	11	14
1	31	33	12	12
2	34	37	16	21
2	35	29	18	12
2	39	31	14	22
2	34	36	14	11
2	36	35	15	10
2	37	38	15	13
1	38	31	17	10
2	36	34	19	8
1	38	35	10	15
2	39	38	16	14
2	33	37	18	10
1	32	33	14	14
1	36	32	14	14
2	38	38	17	11
1	39	38	14	10
2	32	32	16	13
1	32	33	18	7
2	31	31	11	14
2	39	38	14	12
2	37	39	12	14
1	39	32	17	11
2	41	32	9	9
1	36	35	16	11
2	33	37	14	15
2	33	33	15	14
1	34	33	11	13
2	31	28	16	9
1	27	32	13	15
2	37	31	17	10
2	34	37	15	11
1	34	30	14	13
1	32	33	16	8
1	29	31	9	20
1	36	33	15	12
2	29	31	17	10
1	35	33	13	10
1	37	32	15	9
2	34	33	16	14
1	38	32	16	8
1	35	33	12	14
2	38	28	12	11
2	37	35	11	13
2	38	39	15	9
2	33	34	15	11
2	36	38	17	15
1	38	32	13	11
2	32	38	16	10
1	32	30	14	14
1	32	33	11	18
2	34	38	12	14
1	32	32	12	11
2	37	32	15	12
2	39	34	16	13
2	29	34	15	9
1	37	36	12	10
2	35	34	12	15
1	30	28	8	20
1	38	34	13	12
2	34	35	11	12
2	31	35	14	14
2	34	31	15	13
1	35	37	10	11
2	36	35	11	17
1	30	27	12	12
2	39	40	15	13
1	35	37	15	14
1	38	36	14	13
2	31	38	16	15
2	34	39	15	13
1	38	41	15	10
1	34	27	13	11
2	39	30	12	19
2	37	37	17	13
2	34	31	13	17
1	28	31	15	13
1	37	27	13	9
1	33	36	15	11
1	37	38	16	10
2	35	37	15	9
1	37	33	16	12
2	32	34	15	12
2	33	31	14	13
1	38	39	15	13
2	33	34	14	12
2	29	32	13	15
2	33	33	7	22
2	31	36	17	13
2	36	32	13	15
2	35	41	15	13
2	32	28	14	15
2	29	30	13	10
2	39	36	16	11
2	37	35	12	16
2	35	31	14	11
1	37	34	17	11
1	32	36	15	10
2	38	36	17	10
1	37	35	12	16
2	36	37	16	12
1	32	28	11	11
2	33	39	15	16
1	40	32	9	19
2	38	35	16	11
1	41	39	15	16
1	36	35	10	15
2	43	42	10	24
2	30	34	15	14
2	31	33	11	15
2	32	41	13	11
1	32	33	14	15
2	37	34	18	12
1	37	32	16	10
2	33	40	14	14
2	34	40	14	13
2	33	35	14	9
2	38	36	14	15
2	33	37	12	15
2	31	27	14	14
2	38	39	15	11
2	37	38	15	8
2	33	31	15	11
2	31	33	13	11
1	39	32	17	8
2	44	39	17	10
2	33	36	19	11
2	35	33	15	13
1	32	33	13	11
1	28	32	9	20
2	40	37	15	10
1	27	30	15	15
1	37	38	15	12
2	32	29	16	14
1	28	22	11	23
1	34	35	14	14
2	30	35	11	16
2	35	34	15	11
1	31	35	13	12
2	32	34	15	10
1	30	34	16	14
2	30	35	14	12
1	31	23	15	12
2	40	31	16	11
2	32	27	16	12
1	36	36	11	13
1	32	31	12	11
1	35	32	9	19
2	38	39	16	12
2	42	37	13	17
1	34	38	16	9
2	35	39	12	12
2	35	34	9	19
2	33	31	13	18
2	36	32	13	15
2	32	37	14	14
2	33	36	19	11
2	34	32	13	9
2	32	35	12	18
2	34	36	13	16

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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154623&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154623&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154623&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	'Gertrude Mary Cox' @ cox.wessa.net

Correlations for all pairs of data series (method=kendall)
	Gender	Connected	Separate	Happiness	Depression
Gender	1	0.03	0.194	0.142	0.056
Connected	0.03	1	0.241	0.127	-0.128
Separate	0.194	0.241	1	0.11	-0.03
Happiness	0.142	0.127	0.11	1	-0.372
Depression	0.056	-0.128	-0.03	-0.372	1

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Gender & Connected & Separate & Happiness & Depression \tabularnewline
Gender & 1 & 0.03 & 0.194 & 0.142 & 0.056 \tabularnewline
Connected & 0.03 & 1 & 0.241 & 0.127 & -0.128 \tabularnewline
Separate & 0.194 & 0.241 & 1 & 0.11 & -0.03 \tabularnewline
Happiness & 0.142 & 0.127 & 0.11 & 1 & -0.372 \tabularnewline
Depression & 0.056 & -0.128 & -0.03 & -0.372 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154623&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Gender[/C][C]Connected[/C][C]Separate[/C][C]Happiness[/C][C]Depression[/C][/ROW]
[ROW][C]Gender[/C][C]1[/C][C]0.03[/C][C]0.194[/C][C]0.142[/C][C]0.056[/C][/ROW]
[ROW][C]Connected[/C][C]0.03[/C][C]1[/C][C]0.241[/C][C]0.127[/C][C]-0.128[/C][/ROW]
[ROW][C]Separate[/C][C]0.194[/C][C]0.241[/C][C]1[/C][C]0.11[/C][C]-0.03[/C][/ROW]
[ROW][C]Happiness[/C][C]0.142[/C][C]0.127[/C][C]0.11[/C][C]1[/C][C]-0.372[/C][/ROW]
[ROW][C]Depression[/C][C]0.056[/C][C]-0.128[/C][C]-0.03[/C][C]-0.372[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154623&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154623&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)
	Gender	Connected	Separate	Happiness	Depression
Gender	1	0.03	0.194	0.142	0.056
Connected	0.03	1	0.241	0.127	-0.128
Separate	0.194	0.241	1	0.11	-0.03
Happiness	0.142	0.127	0.11	1	-0.372
Depression	0.056	-0.128	-0.03	-0.372	1

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
Gender;Connected	0.0645	0.0357	0.0304
p-value	(0.4149)	(0.652)	(0.6505)
Gender;Separate	0.2398	0.2283	0.1941
p-value	(0.0021)	(0.0035)	(0.0038)
Gender;Happiness	0.1818	0.1643	0.1422
p-value	(0.0206)	(0.0367)	(0.0371)
Gender;Depression	0.0448	0.0654	0.0561
p-value	(0.5711)	(0.4082)	(0.4065)
Connected;Separate	0.3682	0.3243	0.2413
p-value	(0)	(0)	(0)
Connected;Happiness	0.1427	0.1717	0.1274
p-value	(0.0701)	(0.0289)	(0.0283)
Connected;Depression	-0.1203	-0.1676	-0.128
p-value	(0.1274)	(0.033)	(0.026)
Separate;Happiness	0.1537	0.1543	0.1097
p-value	(0.0509)	(0.05)	(0.0589)
Separate;Depression	-0.0783	-0.036	-0.0297
p-value	(0.3219)	(0.6492)	(0.606)
Happiness;Depression	-0.5442	-0.4738	-0.3724
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
Gender;Connected & 0.0645 & 0.0357 & 0.0304 \tabularnewline
p-value & (0.4149) & (0.652) & (0.6505) \tabularnewline
Gender;Separate & 0.2398 & 0.2283 & 0.1941 \tabularnewline
p-value & (0.0021) & (0.0035) & (0.0038) \tabularnewline
Gender;Happiness & 0.1818 & 0.1643 & 0.1422 \tabularnewline
p-value & (0.0206) & (0.0367) & (0.0371) \tabularnewline
Gender;Depression & 0.0448 & 0.0654 & 0.0561 \tabularnewline
p-value & (0.5711) & (0.4082) & (0.4065) \tabularnewline
Connected;Separate & 0.3682 & 0.3243 & 0.2413 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Connected;Happiness & 0.1427 & 0.1717 & 0.1274 \tabularnewline
p-value & (0.0701) & (0.0289) & (0.0283) \tabularnewline
Connected;Depression & -0.1203 & -0.1676 & -0.128 \tabularnewline
p-value & (0.1274) & (0.033) & (0.026) \tabularnewline
Separate;Happiness & 0.1537 & 0.1543 & 0.1097 \tabularnewline
p-value & (0.0509) & (0.05) & (0.0589) \tabularnewline
Separate;Depression & -0.0783 & -0.036 & -0.0297 \tabularnewline
p-value & (0.3219) & (0.6492) & (0.606) \tabularnewline
Happiness;Depression & -0.5442 & -0.4738 & -0.3724 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154623&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]Gender;Connected[/C][C]0.0645[/C][C]0.0357[/C][C]0.0304[/C][/ROW]
[ROW][C]p-value[/C][C](0.4149)[/C][C](0.652)[/C][C](0.6505)[/C][/ROW]
[ROW][C]Gender;Separate[/C][C]0.2398[/C][C]0.2283[/C][C]0.1941[/C][/ROW]
[ROW][C]p-value[/C][C](0.0021)[/C][C](0.0035)[/C][C](0.0038)[/C][/ROW]
[ROW][C]Gender;Happiness[/C][C]0.1818[/C][C]0.1643[/C][C]0.1422[/C][/ROW]
[ROW][C]p-value[/C][C](0.0206)[/C][C](0.0367)[/C][C](0.0371)[/C][/ROW]
[ROW][C]Gender;Depression[/C][C]0.0448[/C][C]0.0654[/C][C]0.0561[/C][/ROW]
[ROW][C]p-value[/C][C](0.5711)[/C][C](0.4082)[/C][C](0.4065)[/C][/ROW]
[ROW][C]Connected;Separate[/C][C]0.3682[/C][C]0.3243[/C][C]0.2413[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Connected;Happiness[/C][C]0.1427[/C][C]0.1717[/C][C]0.1274[/C][/ROW]
[ROW][C]p-value[/C][C](0.0701)[/C][C](0.0289)[/C][C](0.0283)[/C][/ROW]
[ROW][C]Connected;Depression[/C][C]-0.1203[/C][C]-0.1676[/C][C]-0.128[/C][/ROW]
[ROW][C]p-value[/C][C](0.1274)[/C][C](0.033)[/C][C](0.026)[/C][/ROW]
[ROW][C]Separate;Happiness[/C][C]0.1537[/C][C]0.1543[/C][C]0.1097[/C][/ROW]
[ROW][C]p-value[/C][C](0.0509)[/C][C](0.05)[/C][C](0.0589)[/C][/ROW]
[ROW][C]Separate;Depression[/C][C]-0.0783[/C][C]-0.036[/C][C]-0.0297[/C][/ROW]
[ROW][C]p-value[/C][C](0.3219)[/C][C](0.6492)[/C][C](0.606)[/C][/ROW]
[ROW][C]Happiness;Depression[/C][C]-0.5442[/C][C]-0.4738[/C][C]-0.3724[/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=154623&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154623&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
Gender;Connected	0.0645	0.0357	0.0304
p-value	(0.4149)	(0.652)	(0.6505)
Gender;Separate	0.2398	0.2283	0.1941
p-value	(0.0021)	(0.0035)	(0.0038)
Gender;Happiness	0.1818	0.1643	0.1422
p-value	(0.0206)	(0.0367)	(0.0371)
Gender;Depression	0.0448	0.0654	0.0561
p-value	(0.5711)	(0.4082)	(0.4065)
Connected;Separate	0.3682	0.3243	0.2413
p-value	(0)	(0)	(0)
Connected;Happiness	0.1427	0.1717	0.1274
p-value	(0.0701)	(0.0289)	(0.0283)
Connected;Depression	-0.1203	-0.1676	-0.128
p-value	(0.1274)	(0.033)	(0.026)
Separate;Happiness	0.1537	0.1543	0.1097
p-value	(0.0509)	(0.05)	(0.0589)
Separate;Depression	-0.0783	-0.036	-0.0297
p-value	(0.3219)	(0.6492)	(0.606)
Happiness;Depression	-0.5442	-0.4738	-0.3724
p-value	(0)	(0)	(0)

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