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Description of Statistical Computation

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, 11 Dec 2011 07:47:57 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/11/t1323607688hiaevx8myh2xwzp.htm/, Retrieved Mon, 29 Apr 2024 02:50:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=153697, Retrieved Mon, 29 Apr 2024 02:50:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact126

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kendall tau Correlation Matrix] [] [2010-12-05 18:04:16] [b98453cac15ba1066b407e146608df68]
- RMPD    [Kendall tau Correlation Matrix] [] [2011-12-11 12:47:57] [c092f3a3bdd85c7279ddab6c8c6c9261] [Current]
-   PD      [Kendall tau Correlation Matrix] [] [2011-12-11 13:35:32] [b4c8fd31b0af00c33711722ddf8d2c4c]
-    D        [Kendall tau Correlation Matrix] [] [2011-12-11 14:09:21] [b4c8fd31b0af00c33711722ddf8d2c4c]
-   PD          [Kendall tau Correlation Matrix] [] [2011-12-12 10:00:02] [74be16979710d4c4e7c6647856088456]
-                 [Kendall tau Correlation Matrix] [] [2011-12-12 10:02:56] [74be16979710d4c4e7c6647856088456]
-  M                [Kendall tau Correlation Matrix] [WS 10] [2012-12-07 13:48:13] [ec4855be6a46db5e0c29fcd049472c6d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0	210907	0	2
0	120982	0	NA
0	176508	1	NA
0	179321	NA	4
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0	52746	NA	NA
0	385534	0	NA
0	33170	NA	NA
0	101645	NA	NA
0	149061	0	0
0	165446	1	NA
0	237213	1	0
0	173326	NA	-4
0	133131	1	4
0	258873	NA	4
0	180083	NA	NA
0	324799	1	0
0	230964	0	-1
0	236785	1	0
0	135473	0	NA
0	202925	NA	NA
0	215147	0	NA
0	344297	1	1
0	153935	0	NA
0	132943	NA	NA
0	174724	1	0
0	174415	1	3
0	225548	0	NA
0	223632	1	-1
0	124817	1	NA
0	221698	NA	NA
0	210767	0	NA
0	170266	0	NA
0	260561	NA	NA
0	84853	NA	NA
0	294424	0	4
0	101011	NA	NA
0	215641	NA	NA
0	325107	1	3
0	7176	1	NA
0	167542	NA	NA
0	106408	0	1
0	96560	0	0
0	265769	1	-2
0	269651	NA	-3
0	149112	0	-4
0	175824	1	NA
0	152871	0	2
0	111665	1	NA
0	116408	NA	NA
0	362301	1	2
0	78800	NA	NA
0	183167	0	-4
0	277965	NA	3
0	150629	NA	NA
0	168809	1	NA
0	24188	1	NA
0	329267	1	NA
0	65029	NA	NA
0	101097	NA	NA
0	218946	1	2
0	244052	1	2
0	341570	1	0
0	103597	0	NA
0	233328	NA	5
0	256462	1	NA
0	206161	NA	-2
0	311473	NA	0
0	235800	0	NA
0	177939	NA	NA
0	207176	NA	-2
0	196553	1	-3
0	174184	1	NA
0	143246	0	2
0	187559	1	NA
0	187681	0	NA
0	119016	NA	NA
0	182192	NA	2
0	73566	1	NA
0	194979	NA	2
0	167488	0	0
0	143756	0	4
0	275541	NA	4
0	243199	0	NA
0	182999	1	NA
0	135649	NA	NA
0	152299	1	2
0	120221	NA	NA
0	346485	1	NA
0	145790	NA	NA
0	193339	1	2
0	80953	NA	NA
0	122774	1	NA
0	130585	0	-4
0	112611	1	3
0	286468	1	NA
0	241066	NA	NA
0	148446	1	3
0	204713	NA	NA
0	182079	0	2
0	140344	1	NA
0	220516	1	NA
0	243060	1	-1
0	162765	1	-3
0	182613	NA	NA
0	232138	1	NA
0	265318	0	NA
0	85574	1	0
0	310839	0	NA
0	225060	0	1
0	232317	1	NA
0	144966	0	NA
0	43287	NA	NA
0	155754	NA	NA
0	164709	1	NA
0	201940	NA	NA
0	235454	NA	NA
0	220801	1	NA
0	99466	0	NA
0	92661	1	NA
0	133328	1	-3
0	61361	1	NA
0	125930	NA	NA
0	100750	1	3
0	224549	NA	NA
0	82316	NA	NA
0	102010	0	NA
0	101523	1	0
0	243511	1	0
0	22938	1	NA
0	41566	NA	NA
0	152474	1	0
0	61857	NA	NA
0	99923	0	NA
0	132487	1	3
0	317394	0	-3
0	21054	1	NA
0	209641	1	NA
0	22648	0	NA
0	31414	0	NA
0	46698	1	NA
0	131698	1	NA
0	91735	NA	NA
0	244749	1	0
0	184510	NA	-4
0	79863	NA	NA
0	128423	0	2
0	97839	0	-1
0	38214	NA	NA
1	151101	NA	NA
1	272458	1	NA
1	172494	NA	3
1	108043	1	NA
1	328107	0	NA
1	250579	NA	NA
1	351067	1	NA
1	158015	0	NA
1	98866	NA	NA
1	85439	NA	NA
1	229242	1	2
1	351619	NA	5
1	84207	1	NA
1	120445	0	NA
1	324598	0	2
1	131069	0	NA
1	204271	0	NA
1	165543	NA	NA
1	141722	NA	NA
1	116048	0	NA
1	250047	1	NA
1	299775	1	NA
1	195838	0	-2
1	173260	1	NA
1	254488	0	0
1	104389	NA	NA
1	136084	NA	NA
1	199476	NA	3
1	92499	1	-2
1	224330	0	0
1	135781	0	NA
1	74408	1	NA
1	81240	0	NA
1	14688	NA	NA
1	181633	1	6
1	271856	1	-3
1	7199	NA	NA
1	46660	NA	NA
1	17547	NA	NA
1	133368	NA	NA
1	95227	1	3
1	152601	NA	NA
1	98146	0	0
1	79619	NA	NA
1	59194	0	NA
1	139942	1	NA
1	118612	0	-2
1	72880	1	NA
1	65475	1	1
1	99643	NA	NA
1	71965	1	NA
1	77272	NA	NA
1	49289	NA	NA
1	135131	0	NA
1	108446	0	0
1	89746	NA	NA
1	44296	NA	NA
1	77648	NA	NA
1	181528	1	NA
1	134019	1	NA
1	124064	NA	NA
1	92630	NA	NA
1	121848	0	2
1	52915	NA	NA
1	81872	0	NA
1	58981	0	NA
1	53515	0	NA
1	60812	NA	NA
1	56375	1	NA
1	65490	1	NA
1	80949	NA	NA
1	76302	1	2
1	104011	1	NA
1	98104	0	-3
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1	30989	1	-2
1	135458	0	NA
1	73504	NA	NA
1	63123	1	NA
1	61254	NA	NA
1	74914	1	NA
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1	81437	1	NA
1	87186	NA	NA
1	50090	NA	NA
1	65745	1	NA
1	56653	1	NA
1	158399	1	NA
1	46455	NA	NA
1	73624	1	NA
1	38395	NA	NA
1	91899	1	NA
1	139526	1	NA
1	52164	NA	NA
1	51567	0	NA
1	70551	NA	NA
1	84856	NA	NA
1	102538	0	NA
1	86678	1	NA
1	85709	NA	NA
1	34662	NA	NA
1	150580	1	-4
1	99611	1	NA
1	19349	NA	NA
1	99373	0	NA
1	86230	0	NA
1	30837	0	NA
1	31706	1	NA
1	89806	1	NA
1	62088	NA	NA
1	40151	NA	NA
1	27634	NA	NA
1	76990	NA	NA
1	37460	NA	NA
1	54157	NA	0
1	49862	NA	NA
1	84337	NA	NA
1	64175	0	NA
1	59382	0	1
1	119308	0	NA
1	76702	0	NA
1	103425	NA	NA
1	70344	NA	NA
1	43410	NA	NA
1	104838	NA	NA
1	62215	NA	NA
1	69304	NA	NA
1	53117	NA	NA
1	19764	1	NA
1	86680	NA	NA
1	84105	0	0
1	77945	NA	NA
1	89113	NA	NA
1	91005	NA	NA
1	40248	NA	NA
1	64187	1	NA
1	50857	NA	NA
1	56613	NA	NA
1	62792	NA	NA
1	72535	1	NA

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153697&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153697&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153697&T=0

As an alternative you can also use a QR Code:  
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'Herman Ole Andreas Wold' @ wold.wessa.net






Correlations for all pairs of data series (method=kendall)
poptime_in_rfcgendertotal_tests
pop1-0.369-0.062-0.016
time_in_rfc-0.36910.0260.062
gender-0.0620.02610.102
total_tests-0.0160.0620.1021

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & pop & time_in_rfc & gender & total_tests \tabularnewline
pop & 1 & -0.369 & -0.062 & -0.016 \tabularnewline
time_in_rfc & -0.369 & 1 & 0.026 & 0.062 \tabularnewline
gender & -0.062 & 0.026 & 1 & 0.102 \tabularnewline
total_tests & -0.016 & 0.062 & 0.102 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153697&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]pop[/C][C]time_in_rfc[/C][C]gender[/C][C]total_tests[/C][/ROW]
[ROW][C]pop[/C][C]1[/C][C]-0.369[/C][C]-0.062[/C][C]-0.016[/C][/ROW]
[ROW][C]time_in_rfc[/C][C]-0.369[/C][C]1[/C][C]0.026[/C][C]0.062[/C][/ROW]
[ROW][C]gender[/C][C]-0.062[/C][C]0.026[/C][C]1[/C][C]0.102[/C][/ROW]
[ROW][C]total_tests[/C][C]-0.016[/C][C]0.062[/C][C]0.102[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153697&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153697&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Correlations for all pairs of data series (method=kendall)
poptime_in_rfcgendertotal_tests
pop1-0.369-0.062-0.016
time_in_rfc-0.36910.0260.062
gender-0.0620.02610.102
total_tests-0.0160.0620.1021






Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
pop;time_in_rfc-0.4089-0.4516-0.3694
p-value(0)(0)(0)
pop;gender-0.0619-0.0619-0.0619
p-value(0.4199)(0.4199)(0.4183)
pop;total_tests-0.0025-0.0181-0.0157
p-value(0.982)(0.8694)(0.8682)
time_in_rfc;gender0.04260.0320.0262
p-value(0.5793)(0.6765)(0.6752)
time_in_rfc;total_tests0.11080.08340.062
p-value(0.3129)(0.4478)(0.4262)
gender;total_tests0.11930.11650.1017
p-value(0.3326)(0.3442)(0.3404)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
pop;time_in_rfc & -0.4089 & -0.4516 & -0.3694 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
pop;gender & -0.0619 & -0.0619 & -0.0619 \tabularnewline
p-value & (0.4199) & (0.4199) & (0.4183) \tabularnewline
pop;total_tests & -0.0025 & -0.0181 & -0.0157 \tabularnewline
p-value & (0.982) & (0.8694) & (0.8682) \tabularnewline
time_in_rfc;gender & 0.0426 & 0.032 & 0.0262 \tabularnewline
p-value & (0.5793) & (0.6765) & (0.6752) \tabularnewline
time_in_rfc;total_tests & 0.1108 & 0.0834 & 0.062 \tabularnewline
p-value & (0.3129) & (0.4478) & (0.4262) \tabularnewline
gender;total_tests & 0.1193 & 0.1165 & 0.1017 \tabularnewline
p-value & (0.3326) & (0.3442) & (0.3404) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153697&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]pop;time_in_rfc[/C][C]-0.4089[/C][C]-0.4516[/C][C]-0.3694[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]pop;gender[/C][C]-0.0619[/C][C]-0.0619[/C][C]-0.0619[/C][/ROW]
[ROW][C]p-value[/C][C](0.4199)[/C][C](0.4199)[/C][C](0.4183)[/C][/ROW]
[ROW][C]pop;total_tests[/C][C]-0.0025[/C][C]-0.0181[/C][C]-0.0157[/C][/ROW]
[ROW][C]p-value[/C][C](0.982)[/C][C](0.8694)[/C][C](0.8682)[/C][/ROW]
[ROW][C]time_in_rfc;gender[/C][C]0.0426[/C][C]0.032[/C][C]0.0262[/C][/ROW]
[ROW][C]p-value[/C][C](0.5793)[/C][C](0.6765)[/C][C](0.6752)[/C][/ROW]
[ROW][C]time_in_rfc;total_tests[/C][C]0.1108[/C][C]0.0834[/C][C]0.062[/C][/ROW]
[ROW][C]p-value[/C][C](0.3129)[/C][C](0.4478)[/C][C](0.4262)[/C][/ROW]
[ROW][C]gender;total_tests[/C][C]0.1193[/C][C]0.1165[/C][C]0.1017[/C][/ROW]
[ROW][C]p-value[/C][C](0.3326)[/C][C](0.3442)[/C][C](0.3404)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153697&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153697&T=2

As an alternative you can also use a QR Code:  
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
pop;time_in_rfc-0.4089-0.4516-0.3694
p-value(0)(0)(0)
pop;gender-0.0619-0.0619-0.0619
p-value(0.4199)(0.4199)(0.4183)
pop;total_tests-0.0025-0.0181-0.0157
p-value(0.982)(0.8694)(0.8682)
time_in_rfc;gender0.04260.0320.0262
p-value(0.5793)(0.6765)(0.6752)
time_in_rfc;total_tests0.11080.08340.062
p-value(0.3129)(0.4478)(0.4262)
gender;total_tests0.11930.11650.1017
p-value(0.3326)(0.3442)(0.3404)


Figures (Output of Computation)

Input Parameters & R Code

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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
n
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$estimate,3))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
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)
}
}
a<-table.end(a)
table.save(a,file='mytable1.tab')