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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 21:15:50 +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/t1675196180roxah5uky0mxc1d.htm/, Retrieved Sat, 29 Aug 2026 13:23:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319845, Retrieved Sat, 29 Aug 2026 13:23:53 +0000
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Original text written by user:
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Estimated Impact310
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [Bloodpressure mal...] [2023-01-31 20:15:50] [ea34f374bc303de510944b3815b000aa] [Current]
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Dataseries X:
233 145 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 time0 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 time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319845&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]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319845&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319845&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 time0 seconds
R ServerBig Analytics Cloud Computing Center







Correlations for all pairs of data series (method=pearson)
cholesterolMalebloodpressureMalebloodpressureFemalecholesterolFemale
cholesterolMale1-0.543-0.550.743
bloodpressureMale-0.54310.338-0.551
bloodpressureFemale-0.550.3381-0.573
cholesterolFemale0.743-0.551-0.5731

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & cholesterolMale & bloodpressureMale & bloodpressureFemale & cholesterolFemale \tabularnewline
cholesterolMale & 1 & -0.543 & -0.55 & 0.743 \tabularnewline
bloodpressureMale & -0.543 & 1 & 0.338 & -0.551 \tabularnewline
bloodpressureFemale & -0.55 & 0.338 & 1 & -0.573 \tabularnewline
cholesterolFemale & 0.743 & -0.551 & -0.573 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319845&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]-0.55[/C][C]0.743[/C][/ROW]
[ROW][C]bloodpressureMale[/C][C]-0.543[/C][C]1[/C][C]0.338[/C][C]-0.551[/C][/ROW]
[ROW][C]bloodpressureFemale[/C][C]-0.55[/C][C]0.338[/C][C]1[/C][C]-0.573[/C][/ROW]
[ROW][C]cholesterolFemale[/C][C]0.743[/C][C]-0.551[/C][C]-0.573[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319845&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319845&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
cholesterolMale1-0.543-0.550.743
bloodpressureMale-0.54310.338-0.551
bloodpressureFemale-0.550.3381-0.573
cholesterolFemale0.743-0.551-0.5731







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-0.55-0.589-0.4099
p-value(0)(0)(0)
cholesterolMale;cholesterolFemale0.74310.73220.5028
p-value(0)(0)(0)
bloodpressureMale;bloodpressureFemale0.33830.34770.2239
p-value(0.0062)(0.0049)(0.0101)
bloodpressureMale;cholesterolFemale-0.5509-0.547-0.3786
p-value(0)(0)(0)
bloodpressureFemale;cholesterolFemale-0.5729-0.6373-0.4204
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 & -0.55 & -0.589 & -0.4099 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
cholesterolMale;cholesterolFemale & 0.7431 & 0.7322 & 0.5028 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
bloodpressureMale;bloodpressureFemale & 0.3383 & 0.3477 & 0.2239 \tabularnewline
p-value & (0.0062) & (0.0049) & (0.0101) \tabularnewline
bloodpressureMale;cholesterolFemale & -0.5509 & -0.547 & -0.3786 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
bloodpressureFemale;cholesterolFemale & -0.5729 & -0.6373 & -0.4204 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319845&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]-0.55[/C][C]-0.589[/C][C]-0.4099[/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]0.3383[/C][C]0.3477[/C][C]0.2239[/C][/ROW]
[ROW][C]p-value[/C][C](0.0062)[/C][C](0.0049)[/C][C](0.0101)[/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]-0.5729[/C][C]-0.6373[/C][C]-0.4204[/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=319845&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319845&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-0.55-0.589-0.4099
p-value(0)(0)(0)
cholesterolMale;cholesterolFemale0.74310.73220.5028
p-value(0)(0)(0)
bloodpressureMale;bloodpressureFemale0.33830.34770.2239
p-value(0.0062)(0.0049)(0.0101)
bloodpressureMale;cholesterolFemale-0.5509-0.547-0.3786
p-value(0)(0)(0)
bloodpressureFemale;cholesterolFemale-0.5729-0.6373-0.4204
p-value(0)(0)(0)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01110.83
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 & 0.83 \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=319845&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]0.83[/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=319845&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319845&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
0.01110.83
0.02111
0.03111
0.04111
0.05111
0.06111
0.07111
0.08111
0.09111
0.1111



Parameters (Session):
Parameters (R input):
par1 = pearson ;
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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
x <- na.omit(x)
y <- t(na.omit(t(y)))
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
print(n)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$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')