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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 computationFri, 15 Dec 2017 21:17:12 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/15/t1513369064g0y1u98rv9xeers.htm/, Retrieved Wed, 15 May 2024 12:20:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309815, Retrieved Wed, 15 May 2024 12:20:45 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact43

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-       [Kendall tau Correlation Matrix] [Kendall Correlation] [2017-12-15 20:17:12] [b96fd9fc55b2111e8fcab34a88822fe0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
24	10	35
39	12	37
37	12	39
38	13	39
36	10	33
39	13	39
37	12	41
36	13	42
30	12	35
32	13	39
35	10	35
36	12	36
37	12	38
38	13	36
30	10	40
40	14	34
38	13	36
41	13	39
47	13	45
37	11	27
38	12	37
31	10	27
33	13	27
36	9	32
37	11	31
29	12	35
39	12	42
39	13	39
34	11	37
34	11	31
41	12	32
28	11	37
21	6	37
41	13	32
32	12	28
35	13	35
29	9	22
30	10	33
27	9	29
33	11	34
36	14	36
36	14	36
30	9	31
38	12	42
37	12	38
33	11	31
46	14	41
31	11	42
38	14	41
39	11	33
45	15	40
29	10	30
33	13	40
34	11	38
36	12	34
36	13	38
36	12	34
41	11	31
25	10	34
40	13	43
34	8	36
33	9	35
36	9	35
39	15	41
32	10	23
37	13	39
37	10	25
42	12	36
40	15	43
28	11	36
23	11	29
32	11	31
42	13	43
44	13	41
35	12	33
32	10	36
33	10	30
32	12	40
32	11	22
38	12	37
33	8	39
32	12	34
33	11	34
39	15	42
41	13	41
34	12	34
37	12	38
35	11	33
27	11	34
39	13	35
38	14	37
34	14	42
39	12	38
36	10	29
28	11	27
31	12	42
35	15	41
34	10	29
33	11	34
39	13	36
32	10	39
29	12	33
33	11	34
30	12	33
37	12	40
40	13	42
31	12	38
37	12	38
31	9	27
32	11	35
27	8	23
29	13	32
28	12	24
28	12	24
37	13	43
36	12	38
43	15	42
24	9	25
24	9	30
37	9	33
35	11	35
36	11	36
23	7	27
23	7	29
29	9	23
35	12	31
38	12	37
36	12	28
24	9	34
29	10	33
25	10	29
34	10	36
40	12	31
28	6	25
32	12	28
35	11	43
36	11	39
29	11	26
26	10	25
35	12	34
23	6	23
37	13	36
38	13	37
30	10	32
31	11	28
20	7	16
28	8	26
40	14	41
38	12	36
34	11	39
36	9	34
36	10	37
32	8	30
33	11	41
33	12	40
44	12	43
35	13	35
36	11	40
39	13	41
26	10	28
34	12	28
32	13	39
28	9	25
27	7	27
30	11	29
36	9	35
39	12	36
36	12	30
27	10	26
36	12	30
35	11	34
40	14	39
39	12	33
39	12	35
33	11	32
34	12	33
38	12	39
33	13	39
39	12	34
37	9	38
37	11	35
22	9	32
21	7	28
40	13	35
33	11	40
38	10	35
41	11	40
39	14	36
32	11	33
39	13	34
33	12	34
34	12	37
35	12	35
26	10	17
30	9	28
31	12	31
34	12	30
33	11	28
38	11	44
37	12	33
42	13	36
27	10	29
26	9	26
37	10	40
28	11	34
39	12	36
36	9	32
37	13	38
39	12	41
32	12	30
32	12	30
18	10	21
37	13	41
26	12	33
32	10	30
42	14	36
38	13	37
33	13	36
29	8	22
36	11	33
34	11	27
27	7	31
34	10	29
34	11	32
34	11	36
28	10	36
35	12	30
38	12	39
32	10	29
49	12	40
29	10	27
33	10	29
35	12	35
37	12	36
38	12	41
38	12	41
38	12	41
39	12	40
31	8	30
40	14	40
32	9	37
25	7	34
35	12	43
21	6	21
40	13	39
22	6	17
19	7	15
19	6	18
39	12	41
31	11	43
30	9	27
38	12	33
41	13	42
12	8	16
30	10	28
40	12	38
30	9	27
29	10	24
20	6	16
27	10	25
27	7	22
30	9	27
40	12	36
42	10	29
38	14	34
37	13	35
37	13	29
40	10	39
36	11	38
35	13	31
41	14	40
29	7	32
42	12	43
38	13	38
40	13	39
26	8	29
35	12	30
32	11	39
28	11	35
38	12	31
25	8	31
38	10	29
39	12	32
41	15	39
29	12	36
34	12	32
34	10	27
38	13	30
37	12	41
32	11	33
37	12	36
42	15	33
34	13	29
35	12	36
35	10	31
38	9	39
29	11	32
39	11	31
40	15	40
37	12	35
36	10	27
35	12	35
32	12	29
31	9	27
34	11	36
38	11	32
42	13	40
36	12	32
35	12	34
31	12	35
29	9	31
30	10	30
34	13	41
33	9	31
29	11	23
34	11	33
36	10	36
29	9	30
37	11	36
43	13	39
37	11	33
33	10	33
31	10	34
32	12	34
31	7	20
33	9	24
38	12	34
39	12	31
34	13	34
31	9	35
31	10	27
31	12	34
36	12	36
35	9	35
31	11	31
33	12	40
38	11	33
42	14	34
32	10	32
19	6	25
19	7	25
26	6	19
33	12	23
21	5	18
30	9	28
36	12	34
37	12	30
31	13	29
36	10	42
43	14	40
43	14	36
41	13	38
34	9	28
30	11	25
36	9	33
43	14	43
30	13	36
33	13	32
23	8	29
38	12	36
34	11	35
32	8	32
32	12	32
32	9	32
33	10	31
28	11	20
36	10	28
37	10	30
37	12	39
45	15	45
38	12	30
32	9	28
48	13	39
35	8	28
37	12	38
40	12	37
34	10	33
38	11	34
36	12	31
41	12	31
26	9	29
32	10	28
35	12	42
44	15	38
42	12	35
33	11	25
30	9	29
36	10	33
34	10	31
29	10	28
39	12	36
38	9	31
38	10	29
44	15	44
43	13	37
33	9	30
36	10	19
35	10	28
27	11	25
28	8	25
35	11	35
28	7	20
34	10	36
35	11	37
27	8	27
36	13	39
25	9	21
36	12	37
34	9	26
39	11	40
32	10	27
26	9	26
33	12	27
31	10	31
38	13	37
37	11	34
35	10	37
34	12	27
29	11	29
37	12	34
14	7	23
37	10	40
37	13	34
33	8	29
26	8	30
35	10	31
37	11	30
31	9	25
33	11	31
41	14	39
29	11	29
30	8	34
31	9	25
37	15	30
48	15	39
31	11	31
28	12	28
41	10	39
35	12	34
35	11	36
32	10	31
29	8	32
32	11	33
40	14	41
39	12	30
35	11	32

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309815&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=309815&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309815&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Correlations for all pairs of data series (method=kendall)
OverzichtelijkheidSnelheidVervangbaarheid
Overzichtelijkheid10.5260.466
Snelheid0.52610.461
Vervangbaarheid0.4660.4611

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Overzichtelijkheid & Snelheid & Vervangbaarheid \tabularnewline
Overzichtelijkheid & 1 & 0.526 & 0.466 \tabularnewline
Snelheid & 0.526 & 1 & 0.461 \tabularnewline
Vervangbaarheid & 0.466 & 0.461 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309815&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Overzichtelijkheid[/C][C]Snelheid[/C][C]Vervangbaarheid[/C][/ROW]
[ROW][C]Overzichtelijkheid[/C][C]1[/C][C]0.526[/C][C]0.466[/C][/ROW]
[ROW][C]Snelheid[/C][C]0.526[/C][C]1[/C][C]0.461[/C][/ROW]
[ROW][C]Vervangbaarheid[/C][C]0.466[/C][C]0.461[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309815&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309815&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)
OverzichtelijkheidSnelheidVervangbaarheid
Overzichtelijkheid10.5260.466
Snelheid0.52610.461
Vervangbaarheid0.4660.4611






Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Overzichtelijkheid;Snelheid0.70230.66090.5261
p-value(0)(0)(0)
Overzichtelijkheid;Vervangbaarheid0.65290.61930.4657
p-value(0)(0)(0)
Snelheid;Vervangbaarheid0.62030.59330.4611
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
Overzichtelijkheid;Snelheid & 0.7023 & 0.6609 & 0.5261 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Overzichtelijkheid;Vervangbaarheid & 0.6529 & 0.6193 & 0.4657 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Snelheid;Vervangbaarheid & 0.6203 & 0.5933 & 0.4611 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309815&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]Overzichtelijkheid;Snelheid[/C][C]0.7023[/C][C]0.6609[/C][C]0.5261[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Overzichtelijkheid;Vervangbaarheid[/C][C]0.6529[/C][C]0.6193[/C][C]0.4657[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Snelheid;Vervangbaarheid[/C][C]0.6203[/C][C]0.5933[/C][C]0.4611[/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=309815&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309815&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
Overzichtelijkheid;Snelheid0.70230.66090.5261
p-value(0)(0)(0)
Overzichtelijkheid;Vervangbaarheid0.65290.61930.4657
p-value(0)(0)(0)
Snelheid;Vervangbaarheid0.62030.59330.4611
p-value(0)(0)(0)






Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01111
0.02111
0.03111
0.04111
0.05111
0.06111
0.07111
0.08111
0.09111
0.1111

\begin{tabular}{lllllllll}
\hline
Meta Analysis of Correlation Tests \tabularnewline
Number of significant by total number of Correlations \tabularnewline
Type I error & Pearson r & Spearman rho & Kendall tau \tabularnewline
0.01 & 1 & 1 & 1 \tabularnewline
0.02 & 1 & 1 & 1 \tabularnewline
0.03 & 1 & 1 & 1 \tabularnewline
0.04 & 1 & 1 & 1 \tabularnewline
0.05 & 1 & 1 & 1 \tabularnewline
0.06 & 1 & 1 & 1 \tabularnewline
0.07 & 1 & 1 & 1 \tabularnewline
0.08 & 1 & 1 & 1 \tabularnewline
0.09 & 1 & 1 & 1 \tabularnewline
0.1 & 1 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309815&T=3

[TABLE]
[ROW][C]Meta Analysis of Correlation Tests[/C][/ROW]
[ROW][C]Number of significant by total number of Correlations[/C][/ROW]
[ROW][C]Type I error[/C][C]Pearson r[/C][C]Spearman rho[/C][C]Kendall tau[/C][/ROW]
[ROW][C]0.01[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.02[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.03[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.04[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.05[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.06[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.07[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.08[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.09[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.1[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309815&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309815&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01111
0.02111
0.03111
0.04111
0.05111
0.06111
0.07111
0.08111
0.09111
0.1111


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par4 = two.sided ; par5 = unpaired ;
Parameters (R input):
par1 = kendall ;
R code (references can be found in the software module):
par1 <- 'pearson'
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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
x <- na.omit(x)
y <- t(na.omit(t(y)))
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
print(n)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$estimate,3))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
ncorrs <- (n*n -n)/2
mycorrs <- array(0, dim=c(10,3))
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)
for (iii in 1:10) {
iiid100 <- iii / 100
if (rp$p.value < iiid100) mycorrs[iii, 1] = mycorrs[iii, 1] + 1
if (rs$p.value < iiid100) mycorrs[iii, 2] = mycorrs[iii, 2] + 1
if (rk$p.value < iiid100) mycorrs[iii, 3] = mycorrs[iii, 3] + 1
}
}
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Correlation Tests',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of significant by total number of Correlations',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type I error',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)
for (iii in 1:10) {
iiid100 <- iii / 100
a<-table.row.start(a)
a<-table.element(a,round(iiid100,2),header=T)
a<-table.element(a,round(mycorrs[iii,1]/ncorrs,2))
a<-table.element(a,round(mycorrs[iii,2]/ncorrs,2))
a<-table.element(a,round(mycorrs[iii,3]/ncorrs,2))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')