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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 computationThu, 21 Jan 2016 12:13:50 +0000
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/Jan/21/t1453378470vklxpjm96zjm1pj.htm/, Retrieved Sun, 28 Apr 2024 20:49:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=289862, Retrieved Sun, 28 Apr 2024 20:49:48 +0000
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Original text written by user:
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Estimated Impact84
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [Correlatie matrices] [2016-01-21 12:13:50] [a1ef7242c538c2ceec1bb3dfe0647903] [Current]
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Dataseries X:
46.4 68.5 0.4 392
45.7 87.8 0.61 118
45.3 115.8 0.53 44
38.6 106.8 0.53 158
37.2 71.6 0.53 81
35 60.2 0.37 374
34 118.7 0.3 187
28.3 33.7 0.19 993
24.7 27.2 0.12 1723
24.7 62 0.2 287
24.4 24.9 0.19 970
22.7 22.9 0.12 885
22.3 65.7 0.53 200
21.7 21.6 0.14 575
21.6 32.4 0.34 688
21.3 108.7 0.69 48
21.2 38.6 0.49 572
20.8 46.7 0.42 239
20.3 56.5 0.48 244
18.9 44.4 0.25 472
18.8 47.4 0.52 134
18.6 21.7 0.19 633
18 55.7 0.44 295
17.6 27.1 0.24 906
17 28.5 0.16 1045
16.7 41.6 0.1 775
15.9 44.6 0.15 619
15.3 26.1 0.05 901
15 18.7 0.24 910
14.8 49.1 0.22 556




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289862&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289862&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289862&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Correlations for all pairs of data series (method=pearson)
HIV_RiskHomicidesProp_Population_on_FarmsPer_Capita_Income
HIV_Risk10.6640.48-0.419
Homicides0.66410.696-0.745
Prop_Population_on_Farms0.480.6961-0.775
Per_Capita_Income-0.419-0.745-0.7751

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & HIV_Risk & Homicides & Prop_Population_on_Farms & Per_Capita_Income \tabularnewline
HIV_Risk & 1 & 0.664 & 0.48 & -0.419 \tabularnewline
Homicides & 0.664 & 1 & 0.696 & -0.745 \tabularnewline
Prop_Population_on_Farms & 0.48 & 0.696 & 1 & -0.775 \tabularnewline
Per_Capita_Income & -0.419 & -0.745 & -0.775 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289862&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]HIV_Risk[/C][C]Homicides[/C][C]Prop_Population_on_Farms[/C][C]Per_Capita_Income[/C][/ROW]
[ROW][C]HIV_Risk[/C][C]1[/C][C]0.664[/C][C]0.48[/C][C]-0.419[/C][/ROW]
[ROW][C]Homicides[/C][C]0.664[/C][C]1[/C][C]0.696[/C][C]-0.745[/C][/ROW]
[ROW][C]Prop_Population_on_Farms[/C][C]0.48[/C][C]0.696[/C][C]1[/C][C]-0.775[/C][/ROW]
[ROW][C]Per_Capita_Income[/C][C]-0.419[/C][C]-0.745[/C][C]-0.775[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289862&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289862&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)
HIV_RiskHomicidesProp_Population_on_FarmsPer_Capita_Income
HIV_Risk10.6640.48-0.419
Homicides0.66410.696-0.745
Prop_Population_on_Farms0.480.6961-0.775
Per_Capita_Income-0.419-0.745-0.7751







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
HIV_Risk;Homicides0.66430.52930.359
p-value(1e-04)(0.0026)(0.0054)
HIV_Risk;Prop_Population_on_Farms0.48040.42160.3287
p-value(0.0072)(0.0203)(0.0117)
HIV_Risk;Per_Capita_Income-0.4191-0.4232-0.29
p-value(0.0212)(0.0198)(0.0246)
Homicides;Prop_Population_on_Farms0.69640.7370.5402
p-value(0)(0)(0)
Homicides;Per_Capita_Income-0.7455-0.8541-0.646
p-value(0)(0)(0)
Prop_Population_on_Farms;Per_Capita_Income-0.7755-0.8293-0.652
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
HIV_Risk;Homicides & 0.6643 & 0.5293 & 0.359 \tabularnewline
p-value & (1e-04) & (0.0026) & (0.0054) \tabularnewline
HIV_Risk;Prop_Population_on_Farms & 0.4804 & 0.4216 & 0.3287 \tabularnewline
p-value & (0.0072) & (0.0203) & (0.0117) \tabularnewline
HIV_Risk;Per_Capita_Income & -0.4191 & -0.4232 & -0.29 \tabularnewline
p-value & (0.0212) & (0.0198) & (0.0246) \tabularnewline
Homicides;Prop_Population_on_Farms & 0.6964 & 0.737 & 0.5402 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Homicides;Per_Capita_Income & -0.7455 & -0.8541 & -0.646 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Prop_Population_on_Farms;Per_Capita_Income & -0.7755 & -0.8293 & -0.652 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289862&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]HIV_Risk;Homicides[/C][C]0.6643[/C][C]0.5293[/C][C]0.359[/C][/ROW]
[ROW][C]p-value[/C][C](1e-04)[/C][C](0.0026)[/C][C](0.0054)[/C][/ROW]
[ROW][C]HIV_Risk;Prop_Population_on_Farms[/C][C]0.4804[/C][C]0.4216[/C][C]0.3287[/C][/ROW]
[ROW][C]p-value[/C][C](0.0072)[/C][C](0.0203)[/C][C](0.0117)[/C][/ROW]
[ROW][C]HIV_Risk;Per_Capita_Income[/C][C]-0.4191[/C][C]-0.4232[/C][C]-0.29[/C][/ROW]
[ROW][C]p-value[/C][C](0.0212)[/C][C](0.0198)[/C][C](0.0246)[/C][/ROW]
[ROW][C]Homicides;Prop_Population_on_Farms[/C][C]0.6964[/C][C]0.737[/C][C]0.5402[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Homicides;Per_Capita_Income[/C][C]-0.7455[/C][C]-0.8541[/C][C]-0.646[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Prop_Population_on_Farms;Per_Capita_Income[/C][C]-0.7755[/C][C]-0.8293[/C][C]-0.652[/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=289862&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289862&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
HIV_Risk;Homicides0.66430.52930.359
p-value(1e-04)(0.0026)(0.0054)
HIV_Risk;Prop_Population_on_Farms0.48040.42160.3287
p-value(0.0072)(0.0203)(0.0117)
HIV_Risk;Per_Capita_Income-0.4191-0.4232-0.29
p-value(0.0212)(0.0198)(0.0246)
Homicides;Prop_Population_on_Farms0.69640.7370.5402
p-value(0)(0)(0)
Homicides;Per_Capita_Income-0.7455-0.8541-0.646
p-value(0)(0)(0)
Prop_Population_on_Farms;Per_Capita_Income-0.7755-0.8293-0.652
p-value(0)(0)(0)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.830.670.67
0.020.830.830.83
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 & 0.67 & 0.67 \tabularnewline
0.02 & 0.83 & 0.83 & 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=289862&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]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.02[/C][C]0.83[/C][C]0.83[/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=289862&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289862&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
0.010.830.670.67
0.020.830.830.83
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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
x <- na.omit(x)
y <- t(na.omit(t(y)))
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
n
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$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')