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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 computationTue, 31 Jan 2023 21:22:15 +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/2023/Jan/31/t1675196631ou8dew0brgclwzq.htm/, Retrieved Thu, 10 Sep 2026 15:21:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319846, Retrieved Thu, 10 Sep 2026 15:21:20 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact311
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [Correlation Matrix] [2023-01-31 20:22:15] [937b931fa5683a2490351afc57c4d7d9] [Current]
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Dataseries X:
33 145 NA NA
NA
NA NA
130
130 204
250 130 NA NA
NA
120 354
120
NA NA
NA NA 140 294
130
NA NA
140
NA NA
236 120 NA NA
NA
NA NA
120
130 275
NA NA NA NA
120
NA NA
150
150 283
192 140 120 219
NA
120 340
130
150 226
NA NA NA NA
140
140 239
110
NA NA
263 120 NA NA
NA
NA NA
120
NA NA
199 172 NA NA
NA
160 302
150
NA NA
168 150 NA NA
NA
140 417
140
NA NA
239 140 105 198
NA
NA NA
130
NA NA
NA NA NA NA
130
NA NA
150
142 177
266 130 135 304
NA
NA NA
160
155 269
211 110 160 360
NA
140 308
110
NA NA
NA NA NA NA
150
130 264
130
NA NA
NA NA NA NA
120
NA NA
120
NA NA
NA NA 128 216
120
138 234
125
130 256
NA NA NA NA
150
NA NA
142
108 141
247 150 135 252
NA
NA NA
150
NA NA
NA NA NA NA
140
NA NA
160
128 303
234 135 110 265
NA
NA NA
130
NA NA
233 130 NA NA
NA
NA NA
130
138 183
226 140 NA NA
NA
130 234
120
NA NA
243 150 124 209
NA
NA NA
138
NA NA
199 140 NA NA
NA
NA NA
138
122 213
NA NA 135 250
160
NA NA
120
NA NA
212 150 NA NA
NA
NA NA
108
NA NA
175 110 NA NA
NA
102 318
134
NA NA
NA NA 102 265
140
115 564
115
NA NA
197 130 NA NA
NA
110 214
128
100 248
NA NA NA NA
105
NA NA
108
NA NA
177 120 132 288
NA
112 160
135
NA NA
219 130 140 394
NA
NA NA
138
NA NA
273 125 NA NA
NA
NA NA
130
NA NA
213 125 140 195
NA
NA NA
124
NA NA
NA NA 120 211
142
NA NA
94
138 236
NA NA 120 244
135
110 254
140
180 325
232 150 NA NA
NA
140 313
135
NA NA
NA NA NA NA
155
120 215
140
NA NA
NA NA NA NA
160
105 204
105
138 243
NA NA 130 303
140
NA NA
128
112 268
245 130 108 267
NA
94 199
152
118 210
208 104 NA NA
NA
152 277
115
136 196
NA NA 120 269
130
160 201
101
134 271
321 140 NA NA
NA
NA NA
100
126 306
325 120 130 269
NA
120 178
132
NA NA
235 140 NA NA
NA
NA NA
132
120 295
257 138 NA NA
NA
120 209
142
106 223
NA NA 140 197
128
NA NA
108
118 242
NA NA 150 240
138
NA NA
130
NA NA
NA NA NA NA
130
112 149
178
NA NA
302 120 146 278
NA
138 220
120
130 197
231 130 NA NA
NA
NA NA
120
NA NA
NA NA NA NA
108
NA NA
138
132 342
NA NA NA NA
135
NA NA
110
NA NA
201 134 NA NA
NA
NA NA
150
140 268
222 122 NA NA
NA
NA NA
110
NA NA
260 115 NA NA
NA
NA NA
120
NA NA
182 118 NA NA
NA
NA NA
120
NA NA
NA NA NA NA
128
NA NA
138
NA NA
NA NA NA NA
110
150 225
138
130 330
309 108 NA NA
NA
NA NA
108
NA NA
186 118 NA NA
NA
NA NA
118
NA NA
203 135 NA NA
NA
130 305
152
NA NA
211 140 NA NA
NA
NA NA
120
NA NA
NA NA NA NA
138
NA NA
134
NA NA
222 100 NA NA
NA
NA NA
110
NA NA
NA NA NA NA
130
NA NA
130
NA NA
220 120 160 164
NA
NA NA
128
NA NA
NA NA 150 258
124
NA NA
128
NA NA
258 120 NA NA
NA
NA NA
115
NA NA
227 94 145 307
NA
NA NA
106
132 341
204 130 130 263
NA
NA NA
156
NA NA
261 140 NA NA
NA
150 407
150
NA NA
NA NA NA NA
122
200 288
130
NA NA
NA NA NA NA
135
NA NA
112
NA NA
245 125 NA NA
NA
NA NA
146
NA NA
221 140 NA NA
NA
NA NA
130
NA NA
205 128 NA NA
NA
NA NA
122
NA NA
240 105 NA NA
NA
NA NA
130
NA NA
250 112 NA NA
NA
174 249
132
NA NA
308 128 NA NA
NA
NA NA
138
NA NA
NA NA 134 409
102
NA NA
160
NA NA
298 152 NA NA
NA
NA NA
140
NA NA
NA NA 138 294
102
NA NA
140
NA NA
NA NA NA NA
115
NA NA
110
NA NA
277 118 150 244
NA
NA NA
132
178 228
197 101 NA NA
NA
NA NA
110
108 269
NA NA NA NA
110
NA NA
140
180 327
NA NA NA NA
100
NA NA
150
NA NA
255 124 NA NA
NA
NA NA
150
NA NA
207 132 NA NA
NA
NA NA
112
NA NA
223 138 NA NA
NA
NA NA
112
136 319
NA NA NA NA
132
NA NA
124
NA NA
NA NA NA NA
112
NA NA
110
NA NA
226 142 NA NA
NA
NA NA
128
NA NA
NA NA NA NA
140
128 205
145
NA NA
233 108 NA NA
NA
170 225
170
NA NA
315 130 NA NA
NA
NA NA
125
124 197
246 130 NA NA
NA
140 241
110
NA NA
244 148 NA NA
NA
NA NA
125
130 236




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=319846&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=319846&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319846&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 Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Correlations for all pairs of data series (method=pearson)
cholesterolMalebloodpressureMalebloodpressureFemalecholesterolFemale
cholesterolMale1-0.543-0.5010.743
bloodpressureMale-0.54310.293-0.551
bloodpressureFemale-0.5010.2931-0.534
cholesterolFemale0.743-0.551-0.5341

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & cholesterolMale & bloodpressureMale & bloodpressureFemale & cholesterolFemale \tabularnewline
cholesterolMale & 1 & -0.543 & -0.501 & 0.743 \tabularnewline
bloodpressureMale & -0.543 & 1 & 0.293 & -0.551 \tabularnewline
bloodpressureFemale & -0.501 & 0.293 & 1 & -0.534 \tabularnewline
cholesterolFemale & 0.743 & -0.551 & -0.534 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319846&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]cholesterolMale[/C][C]bloodpressureMale[/C][C]bloodpressureFemale[/C][C]cholesterolFemale[/C][/ROW]
[ROW][C]cholesterolMale[/C][C]1[/C][C]-0.543[/C][C]-0.501[/C][C]0.743[/C][/ROW]
[ROW][C]bloodpressureMale[/C][C]-0.543[/C][C]1[/C][C]0.293[/C][C]-0.551[/C][/ROW]
[ROW][C]bloodpressureFemale[/C][C]-0.501[/C][C]0.293[/C][C]1[/C][C]-0.534[/C][/ROW]
[ROW][C]cholesterolFemale[/C][C]0.743[/C][C]-0.551[/C][C]-0.534[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319846&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319846&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=pearson)
cholesterolMalebloodpressureMalebloodpressureFemalecholesterolFemale
cholesterolMale1-0.543-0.5010.743
bloodpressureMale-0.54310.293-0.551
bloodpressureFemale-0.5010.2931-0.534
cholesterolFemale0.743-0.551-0.5341







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
cholesterolMale;bloodpressureMale-0.5426-0.5699-0.3722
p-value(0)(0)(0)
cholesterolMale;bloodpressureFemale-0.5007-0.5441-0.3776
p-value(0)(0)(0)
cholesterolMale;cholesterolFemale0.74310.73220.5028
p-value(0)(0)(0)
bloodpressureMale;bloodpressureFemale0.29270.30270.1925
p-value(0.0189)(0.015)(0.027)
bloodpressureMale;cholesterolFemale-0.5509-0.547-0.3786
p-value(0)(0)(0)
bloodpressureFemale;cholesterolFemale-0.5343-0.6244-0.4043
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
cholesterolMale;bloodpressureMale & -0.5426 & -0.5699 & -0.3722 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
cholesterolMale;bloodpressureFemale & -0.5007 & -0.5441 & -0.3776 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
cholesterolMale;cholesterolFemale & 0.7431 & 0.7322 & 0.5028 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
bloodpressureMale;bloodpressureFemale & 0.2927 & 0.3027 & 0.1925 \tabularnewline
p-value & (0.0189) & (0.015) & (0.027) \tabularnewline
bloodpressureMale;cholesterolFemale & -0.5509 & -0.547 & -0.3786 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
bloodpressureFemale;cholesterolFemale & -0.5343 & -0.6244 & -0.4043 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319846&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]cholesterolMale;bloodpressureMale[/C][C]-0.5426[/C][C]-0.5699[/C][C]-0.3722[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]cholesterolMale;bloodpressureFemale[/C][C]-0.5007[/C][C]-0.5441[/C][C]-0.3776[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]cholesterolMale;cholesterolFemale[/C][C]0.7431[/C][C]0.7322[/C][C]0.5028[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]bloodpressureMale;bloodpressureFemale[/C][C]0.2927[/C][C]0.3027[/C][C]0.1925[/C][/ROW]
[ROW][C]p-value[/C][C](0.0189)[/C][C](0.015)[/C][C](0.027)[/C][/ROW]
[ROW][C]bloodpressureMale;cholesterolFemale[/C][C]-0.5509[/C][C]-0.547[/C][C]-0.3786[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]bloodpressureFemale;cholesterolFemale[/C][C]-0.5343[/C][C]-0.6244[/C][C]-0.4043[/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=319846&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319846&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
pairPearson rSpearman rhoKendall tau
cholesterolMale;bloodpressureMale-0.5426-0.5699-0.3722
p-value(0)(0)(0)
cholesterolMale;bloodpressureFemale-0.5007-0.5441-0.3776
p-value(0)(0)(0)
cholesterolMale;cholesterolFemale0.74310.73220.5028
p-value(0)(0)(0)
bloodpressureMale;bloodpressureFemale0.29270.30270.1925
p-value(0.0189)(0.015)(0.027)
bloodpressureMale;cholesterolFemale-0.5509-0.547-0.3786
p-value(0)(0)(0)
bloodpressureFemale;cholesterolFemale-0.5343-0.6244-0.4043
p-value(0)(0)(0)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.830.830.83
0.02110.83
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 & 0.83 & 0.83 & 0.83 \tabularnewline
0.02 & 1 & 1 & 0.83 \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=319846&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]0.83[/C][C]0.83[/C][C]0.83[/C][/ROW]
[ROW][C]0.02[/C][C]1[/C][C]1[/C][C]0.83[/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=319846&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319846&T=3

As an alternative you can also use a 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
0.010.830.830.83
0.02110.83
0.03111
0.04111
0.05111
0.06111
0.07111
0.08111
0.09111
0.1111



Parameters (Session):
par1 = pearson ;
Parameters (R input):
par1 = pearson ;
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')