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Author*The author of this computation has been verified*
R Software Modulerwasp_pairs.wasp
Title produced by softwareKendall tau Correlation Matrix
Date of computationTue, 20 Dec 2016 08:31:13 +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/2016/Dec/20/t14822194772730gkdhe6i8v8g.htm/, Retrieved Sun, 28 Apr 2024 04:33:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301554, Retrieved Sun, 28 Apr 2024 04:33:47 +0000
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Estimated Impact102
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-       [Kendall tau Correlation Matrix] [] [2016-12-20 07:31:13] [2a4cd29e98d45e730e96e92769c461dd] [Current]
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Dataseries X:
13	5	4	4	4
17	4	3	3	2
NA	4	3	3	3
NA	5	4	4	3
16	5	3	4	3
NA	5	4	2	3
NA	5	4	2	4
NA	5	2	2	4
17	5	1	2	4
17	4	4	3	2
15	5	4	3	2
16	5	4	5	4
14	5	5	4	5
16	4	4	3	4
17	5	1	4	4
NA	3	4	4	2
NA	5	3	4	5
16	3	1	3	5
NA	4	3	2	3
NA	4	2	2	4
16	5	4	3	2
15	4	4	3	4
16	5	2	4	2
16	4	3	4	3
13	5	4	3	4
15	4	4	4	4
17	4	4	3	4
NA	4	3	4	4
13	5	4	3	4
17	5	4	3	4
NA	5	4	3	5
14	5	4	3	4
14	2	3	2	4
18	4	3	5	3
NA	4	4	3	4
17	4	2	1	4
13	5	3	2	3
16	5	4	2	2
15	5	4	3	5
15	4	3	2	4
NA	4	2	3	3
15	5	3	5	4
13	5	3	4	4
NA	5	4	5	4
17	4	3	2	3
NA	4	3	4	4
NA	5	3	3	4
11	5	3	3	4
14	5	3	2	4
13	4	5	3	5
NA	5	4	2	4
NA	4	4	3	5
17	5	4	1	2
16	5	1	1	3
16	4	4	3	4
15	5	3	2	4
12	3	4	3	4
17	3	2	4	4
14	5	4	3	5
14	4	5	4	3
16	4	4	4	4
NA	5	4	3	4
NA	5	4	4	4
NA	5	4	3	4
NA	4	2	3	4
15	4	4	5	4
16	4	2	2	4
14	5	5	4	4
15	4	5	3	3
17	4	2	3	3
NA	4	4	3	2
10	4	3	4	2
NA	4	3	4	2
NA	4	4	5	4
20	4	4	3	4
17	5	3	4	4
18	4	3	3	4
NA	5	4	5	4
17	4	4	4	4
14	4	2	4	4
NA	3	3	4	2
17	4	3	4	3
NA	2	3	2	2
17	4	4	3	3
NA	5	4	4	4
16	3	4	3	5
18	4	4	3	4
18	5	5	5	5
16	2	4	3	3
NA	5	3	1	5
NA	5	4	3	4
15	5	4	4	5
13	4	2	2	2
NA	4	3	3	3
NA	5	3	4	4
NA	5	3	4	5
NA	4	4	4	4
NA	4	4	4	5
NA	5	4	4	5
NA	5	3	3	4
NA	4	3	3	4
12	5	3	3	4
16	5	3	4	4
16	4	2	2	4
NA	5	4	5	5
16	5	5	2	5
14	4	3	2	5
15	4	3	2	4
14	4	3	3	4
NA	5	2	3	4
15	5	3	4	5
15	4	3	4	4
16	5	4	3	4
NA	5	4	4	4
NA	4	3	4	2
NA	4	4	3	4
11	4	1	3	2
NA	4	5	5	4
18	5	4	4	3
NA	5	3	3	5
11	4	5	3	2
18	4	3	3	3
15	3	4	3	3
19	4	4	2	4
17	5	3	4	5
NA	4	2	4	3
14	4	4	4	2
NA	5	3	5	5
13	3	3	2	4
17	4	4	2	4
14	1	2	3	2
19	5	3	3	5
14	4	4	2	3
NA	5	4	4	3
NA	3	3	2	3
16	4	4	3	4
15	4	3	3	4
12	4	2	3	4
NA	5	4	4	4
17	5	2	2	4
NA	5	3	5	5
NA	5	4	4	3
15	5	2	5	4
18	5	4	2	4
15	4	1	4	5
NA	3	5	4	3
NA	4	4	4	4
NA	4	3	3	2
16	5	4	5	5
NA	4	4	3	4
16	4	3	3	3




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=301554&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=301554&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301554&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=kendall)
TVDCKVDD1KVDD2KVDD3KVDD4
TVDC10.021-0.015-0.0080.002
KVDD10.02110.0860.130.163
KVDD2-0.0150.08610.1010.071
KVDD3-0.0080.130.10110.1
KVDD40.0020.1630.0710.11

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & TVDC & KVDD1 & KVDD2 & KVDD3 & KVDD4 \tabularnewline
TVDC & 1 & 0.021 & -0.015 & -0.008 & 0.002 \tabularnewline
KVDD1 & 0.021 & 1 & 0.086 & 0.13 & 0.163 \tabularnewline
KVDD2 & -0.015 & 0.086 & 1 & 0.101 & 0.071 \tabularnewline
KVDD3 & -0.008 & 0.13 & 0.101 & 1 & 0.1 \tabularnewline
KVDD4 & 0.002 & 0.163 & 0.071 & 0.1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301554&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]TVDC[/C][C]KVDD1[/C][C]KVDD2[/C][C]KVDD3[/C][C]KVDD4[/C][/ROW]
[ROW][C]TVDC[/C][C]1[/C][C]0.021[/C][C]-0.015[/C][C]-0.008[/C][C]0.002[/C][/ROW]
[ROW][C]KVDD1[/C][C]0.021[/C][C]1[/C][C]0.086[/C][C]0.13[/C][C]0.163[/C][/ROW]
[ROW][C]KVDD2[/C][C]-0.015[/C][C]0.086[/C][C]1[/C][C]0.101[/C][C]0.071[/C][/ROW]
[ROW][C]KVDD3[/C][C]-0.008[/C][C]0.13[/C][C]0.101[/C][C]1[/C][C]0.1[/C][/ROW]
[ROW][C]KVDD4[/C][C]0.002[/C][C]0.163[/C][C]0.071[/C][C]0.1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301554&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301554&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)
TVDCKVDD1KVDD2KVDD3KVDD4
TVDC10.021-0.015-0.0080.002
KVDD10.02110.0860.130.163
KVDD2-0.0150.08610.1010.071
KVDD3-0.0080.130.10110.1
KVDD40.0020.1630.0710.11







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
TVDC;KVDD10.06280.02530.0209
p-value(0.5476)(0.8084)(0.8108)
TVDC;KVDD20.0028-0.019-0.0146
p-value(0.9786)(0.8559)(0.861)
TVDC;KVDD3-0.0117-0.0105-0.0079
p-value(0.9109)(0.9202)(0.9247)
TVDC;KVDD40.10360.00250.0024
p-value(0.3202)(0.9805)(0.977)
KVDD1;KVDD20.11490.09640.0859
p-value(0.2703)(0.3554)(0.35)
KVDD1;KVDD30.13670.14550.1297
p-value(0.189)(0.1616)(0.1589)
KVDD1;KVDD40.17080.1810.1628
p-value(0.0998)(0.0808)(0.0796)
KVDD2;KVDD30.14350.1160.1006
p-value(0.1677)(0.2656)(0.253)
KVDD2;KVDD40.06950.08180.0714
p-value(0.5057)(0.4334)(0.4216)
KVDD3;KVDD40.1370.11720.1002
p-value(0.1878)(0.2605)(0.2603)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
TVDC;KVDD1 & 0.0628 & 0.0253 & 0.0209 \tabularnewline
p-value & (0.5476) & (0.8084) & (0.8108) \tabularnewline
TVDC;KVDD2 & 0.0028 & -0.019 & -0.0146 \tabularnewline
p-value & (0.9786) & (0.8559) & (0.861) \tabularnewline
TVDC;KVDD3 & -0.0117 & -0.0105 & -0.0079 \tabularnewline
p-value & (0.9109) & (0.9202) & (0.9247) \tabularnewline
TVDC;KVDD4 & 0.1036 & 0.0025 & 0.0024 \tabularnewline
p-value & (0.3202) & (0.9805) & (0.977) \tabularnewline
KVDD1;KVDD2 & 0.1149 & 0.0964 & 0.0859 \tabularnewline
p-value & (0.2703) & (0.3554) & (0.35) \tabularnewline
KVDD1;KVDD3 & 0.1367 & 0.1455 & 0.1297 \tabularnewline
p-value & (0.189) & (0.1616) & (0.1589) \tabularnewline
KVDD1;KVDD4 & 0.1708 & 0.181 & 0.1628 \tabularnewline
p-value & (0.0998) & (0.0808) & (0.0796) \tabularnewline
KVDD2;KVDD3 & 0.1435 & 0.116 & 0.1006 \tabularnewline
p-value & (0.1677) & (0.2656) & (0.253) \tabularnewline
KVDD2;KVDD4 & 0.0695 & 0.0818 & 0.0714 \tabularnewline
p-value & (0.5057) & (0.4334) & (0.4216) \tabularnewline
KVDD3;KVDD4 & 0.137 & 0.1172 & 0.1002 \tabularnewline
p-value & (0.1878) & (0.2605) & (0.2603) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301554&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]TVDC;KVDD1[/C][C]0.0628[/C][C]0.0253[/C][C]0.0209[/C][/ROW]
[ROW][C]p-value[/C][C](0.5476)[/C][C](0.8084)[/C][C](0.8108)[/C][/ROW]
[ROW][C]TVDC;KVDD2[/C][C]0.0028[/C][C]-0.019[/C][C]-0.0146[/C][/ROW]
[ROW][C]p-value[/C][C](0.9786)[/C][C](0.8559)[/C][C](0.861)[/C][/ROW]
[ROW][C]TVDC;KVDD3[/C][C]-0.0117[/C][C]-0.0105[/C][C]-0.0079[/C][/ROW]
[ROW][C]p-value[/C][C](0.9109)[/C][C](0.9202)[/C][C](0.9247)[/C][/ROW]
[ROW][C]TVDC;KVDD4[/C][C]0.1036[/C][C]0.0025[/C][C]0.0024[/C][/ROW]
[ROW][C]p-value[/C][C](0.3202)[/C][C](0.9805)[/C][C](0.977)[/C][/ROW]
[ROW][C]KVDD1;KVDD2[/C][C]0.1149[/C][C]0.0964[/C][C]0.0859[/C][/ROW]
[ROW][C]p-value[/C][C](0.2703)[/C][C](0.3554)[/C][C](0.35)[/C][/ROW]
[ROW][C]KVDD1;KVDD3[/C][C]0.1367[/C][C]0.1455[/C][C]0.1297[/C][/ROW]
[ROW][C]p-value[/C][C](0.189)[/C][C](0.1616)[/C][C](0.1589)[/C][/ROW]
[ROW][C]KVDD1;KVDD4[/C][C]0.1708[/C][C]0.181[/C][C]0.1628[/C][/ROW]
[ROW][C]p-value[/C][C](0.0998)[/C][C](0.0808)[/C][C](0.0796)[/C][/ROW]
[ROW][C]KVDD2;KVDD3[/C][C]0.1435[/C][C]0.116[/C][C]0.1006[/C][/ROW]
[ROW][C]p-value[/C][C](0.1677)[/C][C](0.2656)[/C][C](0.253)[/C][/ROW]
[ROW][C]KVDD2;KVDD4[/C][C]0.0695[/C][C]0.0818[/C][C]0.0714[/C][/ROW]
[ROW][C]p-value[/C][C](0.5057)[/C][C](0.4334)[/C][C](0.4216)[/C][/ROW]
[ROW][C]KVDD3;KVDD4[/C][C]0.137[/C][C]0.1172[/C][C]0.1002[/C][/ROW]
[ROW][C]p-value[/C][C](0.1878)[/C][C](0.2605)[/C][C](0.2603)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301554&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301554&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
TVDC;KVDD10.06280.02530.0209
p-value(0.5476)(0.8084)(0.8108)
TVDC;KVDD20.0028-0.019-0.0146
p-value(0.9786)(0.8559)(0.861)
TVDC;KVDD3-0.0117-0.0105-0.0079
p-value(0.9109)(0.9202)(0.9247)
TVDC;KVDD40.10360.00250.0024
p-value(0.3202)(0.9805)(0.977)
KVDD1;KVDD20.11490.09640.0859
p-value(0.2703)(0.3554)(0.35)
KVDD1;KVDD30.13670.14550.1297
p-value(0.189)(0.1616)(0.1589)
KVDD1;KVDD40.17080.1810.1628
p-value(0.0998)(0.0808)(0.0796)
KVDD2;KVDD30.14350.1160.1006
p-value(0.1677)(0.2656)(0.253)
KVDD2;KVDD40.06950.08180.0714
p-value(0.5057)(0.4334)(0.4216)
KVDD3;KVDD40.1370.11720.1002
p-value(0.1878)(0.2605)(0.2603)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01000
0.02000
0.03000
0.04000
0.05000
0.06000
0.07000
0.08000.1
0.0900.10.1
0.10.10.10.1

\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 & 0 & 0 \tabularnewline
0.02 & 0 & 0 & 0 \tabularnewline
0.03 & 0 & 0 & 0 \tabularnewline
0.04 & 0 & 0 & 0 \tabularnewline
0.05 & 0 & 0 & 0 \tabularnewline
0.06 & 0 & 0 & 0 \tabularnewline
0.07 & 0 & 0 & 0 \tabularnewline
0.08 & 0 & 0 & 0.1 \tabularnewline
0.09 & 0 & 0.1 & 0.1 \tabularnewline
0.1 & 0.1 & 0.1 & 0.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301554&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[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.02[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.03[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.04[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.05[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.06[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.07[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.08[/C][C]0[/C][C]0[/C][C]0.1[/C][/ROW]
[ROW][C]0.09[/C][C]0[/C][C]0.1[/C][C]0.1[/C][/ROW]
[ROW][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301554&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301554&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
0.01000
0.02000
0.03000
0.04000
0.05000
0.06000
0.07000
0.08000.1
0.0900.10.1
0.10.10.10.1



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