Free Statistics

of Irreproducible Research!

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 computationSun, 10 Jan 2016 22:12:10 +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/10/t14524643852iigfdup6fakzyl.htm/, Retrieved Sun, 05 May 2024 06:27:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=288199, Retrieved Sun, 05 May 2024 06:27:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [1] [2016-01-10 22:12:10] [553d586faf58ad26468f05583f5e533b] [Current]
Feedback Forum

Post a new message
Dataseries X:
46.4 392 392 0.4 68.5
45.7 118 118 0.61 87.8
45.3 44 44 0.53 115.8
38.6 158 158 0.53 106.8
37.2 81 81 0.53 71.6
35 374 374 0.37 60.2
34 187 187 0.3 118.7
28.3 993 993 0.19 33.7
24.7 1723 1723 0.12 27.2
24.7 287 287 0.2 62
24.4 970 970 0.19 24.9
22.7 885 885 0.12 22.9
22.3 200 200 0.53 65.7
21.7 575 575 0.14 21.6
21.6 688 688 0.34 32.4
21.3 48 48 0.69 108.7
21.2 572 572 0.49 38.6
20.8 239 239 0.42 46.7
20.3 244 244 0.48 56.5
18.9 472 472 0.25 44.4
18.8 134 134 0.52 47.4
18.6 633 633 0.19 21.7
18 295 295 0.44 55.7
17.6 906 906 0.24 27.1
17 1045 1045 0.16 28.5
16.7 775 775 0.1 41.6
15.9 619 619 0.15 44.6
15.3 901 901 0.05 26.1
15 910 910 0.24 18.7
14.8 556 556 0.22 49.1





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 Maurice George Kendall' @ kendall.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=288199&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=288199&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=288199&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 Maurice George Kendall' @ kendall.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Correlations for all pairs of data series (method=pearson)
HIV_RiskPer_Capita_IncomePer_Capita_IncomeProp_Population_on_FarmsHomicides
HIV_Risk1-0.419-0.4190.480.664
Per_Capita_Income-0.41911-0.775-0.745
Per_Capita_Income-0.41911-0.775-0.745
Prop_Population_on_Farms0.48-0.775-0.77510.696
Homicides0.664-0.745-0.7450.6961

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & HIV_Risk & Per_Capita_Income & Per_Capita_Income & Prop_Population_on_Farms & Homicides \tabularnewline
HIV_Risk & 1 & -0.419 & -0.419 & 0.48 & 0.664 \tabularnewline
Per_Capita_Income & -0.419 & 1 & 1 & -0.775 & -0.745 \tabularnewline
Per_Capita_Income & -0.419 & 1 & 1 & -0.775 & -0.745 \tabularnewline
Prop_Population_on_Farms & 0.48 & -0.775 & -0.775 & 1 & 0.696 \tabularnewline
Homicides & 0.664 & -0.745 & -0.745 & 0.696 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=288199&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]HIV_Risk[/C][C]Per_Capita_Income[/C][C]Per_Capita_Income[/C][C]Prop_Population_on_Farms[/C][C]Homicides[/C][/ROW]
[ROW][C]HIV_Risk[/C][C]1[/C][C]-0.419[/C][C]-0.419[/C][C]0.48[/C][C]0.664[/C][/ROW]
[ROW][C]Per_Capita_Income[/C][C]-0.419[/C][C]1[/C][C]1[/C][C]-0.775[/C][C]-0.745[/C][/ROW]
[ROW][C]Per_Capita_Income[/C][C]-0.419[/C][C]1[/C][C]1[/C][C]-0.775[/C][C]-0.745[/C][/ROW]
[ROW][C]Prop_Population_on_Farms[/C][C]0.48[/C][C]-0.775[/C][C]-0.775[/C][C]1[/C][C]0.696[/C][/ROW]
[ROW][C]Homicides[/C][C]0.664[/C][C]-0.745[/C][C]-0.745[/C][C]0.696[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=288199&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=288199&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_RiskPer_Capita_IncomePer_Capita_IncomeProp_Population_on_FarmsHomicides
HIV_Risk1-0.419-0.4190.480.664
Per_Capita_Income-0.41911-0.775-0.745
Per_Capita_Income-0.41911-0.775-0.745
Prop_Population_on_Farms0.48-0.775-0.77510.696
Homicides0.664-0.745-0.7450.6961







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
HIV_Risk;Per_Capita_Income-0.4191-0.4232-0.29
p-value(0.0212)(0.0198)(0.0246)
HIV_Risk;Per_Capita_Income-0.4191-0.4232-0.29
p-value(0.0212)(0.0198)(0.0246)
HIV_Risk;Prop_Population_on_Farms0.48040.42160.3287
p-value(0.0072)(0.0203)(0.0117)
HIV_Risk;Homicides0.66430.52930.359
p-value(1e-04)(0.0026)(0.0054)
Per_Capita_Income;Per_Capita_Income111
p-value(0)(0)(0)
Per_Capita_Income;Prop_Population_on_Farms-0.7755-0.8293-0.652
p-value(0)(0)(0)
Per_Capita_Income;Homicides-0.7455-0.8541-0.646
p-value(0)(0)(0)
Per_Capita_Income;Prop_Population_on_Farms-0.7755-0.8293-0.652
p-value(0)(0)(0)
Per_Capita_Income;Homicides-0.7455-0.8541-0.646
p-value(0)(0)(0)
Prop_Population_on_Farms;Homicides0.69640.7370.5402
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;Per_Capita_Income & -0.4191 & -0.4232 & -0.29 \tabularnewline
p-value & (0.0212) & (0.0198) & (0.0246) \tabularnewline
HIV_Risk;Per_Capita_Income & -0.4191 & -0.4232 & -0.29 \tabularnewline
p-value & (0.0212) & (0.0198) & (0.0246) \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;Homicides & 0.6643 & 0.5293 & 0.359 \tabularnewline
p-value & (1e-04) & (0.0026) & (0.0054) \tabularnewline
Per_Capita_Income;Per_Capita_Income & 1 & 1 & 1 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Per_Capita_Income;Prop_Population_on_Farms & -0.7755 & -0.8293 & -0.652 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Per_Capita_Income;Homicides & -0.7455 & -0.8541 & -0.646 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Per_Capita_Income;Prop_Population_on_Farms & -0.7755 & -0.8293 & -0.652 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Per_Capita_Income;Homicides & -0.7455 & -0.8541 & -0.646 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Prop_Population_on_Farms;Homicides & 0.6964 & 0.737 & 0.5402 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=288199&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;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]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]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;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]Per_Capita_Income;Per_Capita_Income[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Per_Capita_Income;Prop_Population_on_Farms[/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]
[ROW][C]Per_Capita_Income;Homicides[/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]Per_Capita_Income;Prop_Population_on_Farms[/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]
[ROW][C]Per_Capita_Income;Homicides[/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;Homicides[/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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=288199&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=288199&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;Per_Capita_Income-0.4191-0.4232-0.29
p-value(0.0212)(0.0198)(0.0246)
HIV_Risk;Per_Capita_Income-0.4191-0.4232-0.29
p-value(0.0212)(0.0198)(0.0246)
HIV_Risk;Prop_Population_on_Farms0.48040.42160.3287
p-value(0.0072)(0.0203)(0.0117)
HIV_Risk;Homicides0.66430.52930.359
p-value(1e-04)(0.0026)(0.0054)
Per_Capita_Income;Per_Capita_Income111
p-value(0)(0)(0)
Per_Capita_Income;Prop_Population_on_Farms-0.7755-0.8293-0.652
p-value(0)(0)(0)
Per_Capita_Income;Homicides-0.7455-0.8541-0.646
p-value(0)(0)(0)
Per_Capita_Income;Prop_Population_on_Farms-0.7755-0.8293-0.652
p-value(0)(0)(0)
Per_Capita_Income;Homicides-0.7455-0.8541-0.646
p-value(0)(0)(0)
Prop_Population_on_Farms;Homicides0.69640.7370.5402
p-value(0)(0)(0)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.80.70.7
0.020.80.90.8
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 & 0.8 & 0.7 & 0.7 \tabularnewline
0.02 & 0.8 & 0.9 & 0.8 \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=288199&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]0.8[/C][C]0.7[/C][C]0.7[/C][/ROW]
[ROW][C]0.02[/C][C]0.8[/C][C]0.9[/C][C]0.8[/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=288199&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=288199&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
0.010.80.70.7
0.020.80.90.8
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):
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')