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Author

*The author of this computation has been verified*

R Software Module

Patrick.Wessarwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Fri, 10 Dec 2010 15:10:20 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/10/t1291993715o473euacwl0376s.htm/, Retrieved Mon, 29 Apr 2024 10:56:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107757, Retrieved Mon, 29 Apr 2024 10:56:14 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

129

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 17:44:33] [b98453cac15ba1066b407e146608df68]
F R PD    [Kendall tau Correlation Matrix] [] [2010-12-10 15:10:20] [c2e23af56713b360851e64c7775b3f2b] [Current]

Feedback Forum

2010-12-19 17:04:51 [00c625c7d009d84797af914265b614f9] [reply] 
Correct, 
Bij deze techniek is normaliteits geen assumptie. 

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Dataseries X:

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Histogram

Boxplots

24	26	38	23	10	11
25	23	36	15	10	11
30	25	23	25	10	11
19	23	30	18	10	11
22	19	26	21	10	11
22	29	26	19	10	11
25	25	30	15	13	12
23	21	27	22	10	11
17	22	34	19	10	11
21	25	28	20	13	9
19	24	36	26	10	11
19	18	42	26	10	11
15	22	31	21	10	11
23	22	26	19	10	11
27	28	16	19	13	12
14	12	23	19	10	11
23	20	45	28	10	11
19	21	30	27	10	11
18	23	45	18	10	11
20	28	30	19	10	11
23	24	24	24	10	11
25	24	29	21	13	12
19	24	30	22	13	9
24	23	31	25	10	11
25	29	34	15	10	11
26	24	41	34	10	11
29	18	37	23	10	11
32	25	33	19	10	11
29	26	48	15	10	11
28	22	44	15	10	11
17	22	29	17	10	11
28	22	44	30	13	9
26	30	43	28	10	11
25	23	31	23	10	11
14	17	28	23	10	11
25	23	26	21	10	11
26	23	30	18	10	11
20	25	27	19	15	11
18	24	34	24	10	11
32	24	47	15	10	11
25	21	37	24	13	16
21	24	27	20	10	11
20	28	30	20	10	11
30	20	36	44	10	11
24	29	39	20	10	11
26	27	32	20	10	11
24	22	25	20	10	11
22	28	19	11	10	11
14	16	29	21	10	11
24	25	26	21	13	9
24	24	31	19	13	12
24	28	31	21	10	11
24	24	31	17	10	11
22	24	39	19	10	11
27	21	28	21	10	11
19	25	22	16	10	11
25	25	31	19	10	11
20	22	36	19	10	11
21	23	28	16	10	11
27	26	39	24	10	11
25	25	35	21	10	11
20	21	33	20	10	11
21	25	27	19	10	11
22	24	33	23	10	11
23	29	31	18	10	11
25	22	39	19	10	11
25	27	37	23	10	11
17	26	24	19	10	11
25	24	28	26	13	12
19	27	37	13	13	12
20	24	32	23	10	11
26	24	31	16	13	12
23	29	29	17	13	12
27	22	40	30	10	11
17	24	40	22	10	11
19	24	15	14	10	11
17	23	27	14	13	9
22	20	32	21	13	9
21	27	28	21	10	11
32	26	41	33	10	11
21	25	47	23	10	11
21	21	42	30	10	11
18	19	32	21	11	17
23	21	33	25	10	11
20	16	29	29	10	11
20	29	37	21	10	11
17	15	39	16	10	11
18	17	29	17	10	11
19	15	33	23	10	11
15	21	31	18	13	9
14	19	21	19	10	11
18	24	36	28	10	11
35	17	32	29	10	11
29	23	15	19	10	11
25	14	25	25	13	9
20	19	28	15	10	11
22	24	39	24	10	11
13	13	31	12	13	9
26	22	40	11	10	11
17	16	25	19	10	11
25	19	36	25	10	11
20	25	23	12	10	11
19	25	39	15	10	11
21	23	31	25	10	11
22	24	23	14	10	11
24	26	31	19	10	11
21	26	28	23	13	9
26	25	47	19	13	9
16	21	25	20	10	11
23	26	26	16	13	9
18	23	24	13	12	18
21	13	30	22	10	11
21	24	25	21	13	16
23	14	44	18	15	13
21	10	38	44	10	11
21	24	36	12	10	11
23	22	34	28	13	12
27	24	45	17	13	16
21	20	29	18	10	11
10	13	25	21	10	11
20	20	30	24	10	11
26	22	27	20	10	11
24	24	44	24	10	11
24	20	31	33	10	11
22	22	35	25	10	11
17	20	47	35	10	11

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107757&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107757&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107757&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 Output	view raw output of R engine
Computing time	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Correlations for all pairs of data series (method=kendall)
	PS	O	CMD	PEC	happiness	depression
PS	1	0.2	0.177	0.104	0.044	0.093
O	0.2	1	0.009	-0.162	0.066	0.044
CMD	0.177	0.009	1	0.196	-0.079	0.027
PEC	0.104	-0.162	0.196	1	-0.115	-0.055
happiness	0.044	0.066	-0.079	-0.115	1	0.091
depression	0.093	0.044	0.027	-0.055	0.091	1

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & PS & O & CMD & PEC & happiness & depression \tabularnewline
PS & 1 & 0.2 & 0.177 & 0.104 & 0.044 & 0.093 \tabularnewline
O & 0.2 & 1 & 0.009 & -0.162 & 0.066 & 0.044 \tabularnewline
CMD & 0.177 & 0.009 & 1 & 0.196 & -0.079 & 0.027 \tabularnewline
PEC & 0.104 & -0.162 & 0.196 & 1 & -0.115 & -0.055 \tabularnewline
happiness & 0.044 & 0.066 & -0.079 & -0.115 & 1 & 0.091 \tabularnewline
depression & 0.093 & 0.044 & 0.027 & -0.055 & 0.091 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107757&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]PS[/C][C]O[/C][C]CMD[/C][C]PEC[/C][C]happiness[/C][C]depression[/C][/ROW]
[ROW][C]PS[/C][C]1[/C][C]0.2[/C][C]0.177[/C][C]0.104[/C][C]0.044[/C][C]0.093[/C][/ROW]
[ROW][C]O[/C][C]0.2[/C][C]1[/C][C]0.009[/C][C]-0.162[/C][C]0.066[/C][C]0.044[/C][/ROW]
[ROW][C]CMD[/C][C]0.177[/C][C]0.009[/C][C]1[/C][C]0.196[/C][C]-0.079[/C][C]0.027[/C][/ROW]
[ROW][C]PEC[/C][C]0.104[/C][C]-0.162[/C][C]0.196[/C][C]1[/C][C]-0.115[/C][C]-0.055[/C][/ROW]
[ROW][C]happiness[/C][C]0.044[/C][C]0.066[/C][C]-0.079[/C][C]-0.115[/C][C]1[/C][C]0.091[/C][/ROW]
[ROW][C]depression[/C][C]0.093[/C][C]0.044[/C][C]0.027[/C][C]-0.055[/C][C]0.091[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107757&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107757&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)
	PS	O	CMD	PEC	happiness	depression
PS	1	0.2	0.177	0.104	0.044	0.093
O	0.2	1	0.009	-0.162	0.066	0.044
CMD	0.177	0.009	1	0.196	-0.079	0.027
PEC	0.104	-0.162	0.196	1	-0.115	-0.055
happiness	0.044	0.066	-0.079	-0.115	1	0.091
depression	0.093	0.044	0.027	-0.055	0.091	1

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
PS;O	0.3163	0.2749	0.1998
p-value	(3e-04)	(0.0018)	(0.0019)
PS;CMD	0.2452	0.249	0.1774
p-value	(0.0056)	(0.0049)	(0.0051)
PS;PEC	0.1936	0.1459	0.1035
p-value	(0.0298)	(0.103)	(0.1055)
PS;happiness	0.0249	0.054	0.0437
p-value	(0.7815)	(0.5478)	(0.5577)
PS;depression	0.0304	0.1136	0.0925
p-value	(0.7353)	(0.2051)	(0.2047)
O;CMD	0.0173	0.0108	0.0088
p-value	(0.8472)	(0.9049)	(0.8901)
O;PEC	-0.2418	-0.2202	-0.1621
p-value	(0.0064)	(0.0132)	(0.0119)
O;happiness	0.0289	0.0758	0.0656
p-value	(0.7479)	(0.3989)	(0.3827)
O;depression	0.0121	0.0529	0.0438
p-value	(0.8929)	(0.5562)	(0.5513)
CMD;PEC	0.2842	0.2538	0.1955
p-value	(0.0013)	(0.0041)	(0.002)
CMD;happiness	-0.0568	-0.0939	-0.0788
p-value	(0.5275)	(0.2955)	(0.2854)
CMD;depression	0.0121	0.0338	0.0269
p-value	(0.8927)	(0.7068)	(0.71)
PEC;happiness	-0.1435	-0.1395	-0.115
p-value	(0.109)	(0.1194)	(0.1228)
PEC;depression	-0.0662	-0.068	-0.0555
p-value	(0.4612)	(0.449)	(0.4471)
happiness;depression	0.0919	0.097	0.0906
p-value	(0.3063)	(0.2799)	(0.2872)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
PS;O & 0.3163 & 0.2749 & 0.1998 \tabularnewline
p-value & (3e-04) & (0.0018) & (0.0019) \tabularnewline
PS;CMD & 0.2452 & 0.249 & 0.1774 \tabularnewline
p-value & (0.0056) & (0.0049) & (0.0051) \tabularnewline
PS;PEC & 0.1936 & 0.1459 & 0.1035 \tabularnewline
p-value & (0.0298) & (0.103) & (0.1055) \tabularnewline
PS;happiness & 0.0249 & 0.054 & 0.0437 \tabularnewline
p-value & (0.7815) & (0.5478) & (0.5577) \tabularnewline
PS;depression & 0.0304 & 0.1136 & 0.0925 \tabularnewline
p-value & (0.7353) & (0.2051) & (0.2047) \tabularnewline
O;CMD & 0.0173 & 0.0108 & 0.0088 \tabularnewline
p-value & (0.8472) & (0.9049) & (0.8901) \tabularnewline
O;PEC & -0.2418 & -0.2202 & -0.1621 \tabularnewline
p-value & (0.0064) & (0.0132) & (0.0119) \tabularnewline
O;happiness & 0.0289 & 0.0758 & 0.0656 \tabularnewline
p-value & (0.7479) & (0.3989) & (0.3827) \tabularnewline
O;depression & 0.0121 & 0.0529 & 0.0438 \tabularnewline
p-value & (0.8929) & (0.5562) & (0.5513) \tabularnewline
CMD;PEC & 0.2842 & 0.2538 & 0.1955 \tabularnewline
p-value & (0.0013) & (0.0041) & (0.002) \tabularnewline
CMD;happiness & -0.0568 & -0.0939 & -0.0788 \tabularnewline
p-value & (0.5275) & (0.2955) & (0.2854) \tabularnewline
CMD;depression & 0.0121 & 0.0338 & 0.0269 \tabularnewline
p-value & (0.8927) & (0.7068) & (0.71) \tabularnewline
PEC;happiness & -0.1435 & -0.1395 & -0.115 \tabularnewline
p-value & (0.109) & (0.1194) & (0.1228) \tabularnewline
PEC;depression & -0.0662 & -0.068 & -0.0555 \tabularnewline
p-value & (0.4612) & (0.449) & (0.4471) \tabularnewline
happiness;depression & 0.0919 & 0.097 & 0.0906 \tabularnewline
p-value & (0.3063) & (0.2799) & (0.2872) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107757&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]PS;O[/C][C]0.3163[/C][C]0.2749[/C][C]0.1998[/C][/ROW]
[ROW][C]p-value[/C][C](3e-04)[/C][C](0.0018)[/C][C](0.0019)[/C][/ROW]
[ROW][C]PS;CMD[/C][C]0.2452[/C][C]0.249[/C][C]0.1774[/C][/ROW]
[ROW][C]p-value[/C][C](0.0056)[/C][C](0.0049)[/C][C](0.0051)[/C][/ROW]
[ROW][C]PS;PEC[/C][C]0.1936[/C][C]0.1459[/C][C]0.1035[/C][/ROW]
[ROW][C]p-value[/C][C](0.0298)[/C][C](0.103)[/C][C](0.1055)[/C][/ROW]
[ROW][C]PS;happiness[/C][C]0.0249[/C][C]0.054[/C][C]0.0437[/C][/ROW]
[ROW][C]p-value[/C][C](0.7815)[/C][C](0.5478)[/C][C](0.5577)[/C][/ROW]
[ROW][C]PS;depression[/C][C]0.0304[/C][C]0.1136[/C][C]0.0925[/C][/ROW]
[ROW][C]p-value[/C][C](0.7353)[/C][C](0.2051)[/C][C](0.2047)[/C][/ROW]
[ROW][C]O;CMD[/C][C]0.0173[/C][C]0.0108[/C][C]0.0088[/C][/ROW]
[ROW][C]p-value[/C][C](0.8472)[/C][C](0.9049)[/C][C](0.8901)[/C][/ROW]
[ROW][C]O;PEC[/C][C]-0.2418[/C][C]-0.2202[/C][C]-0.1621[/C][/ROW]
[ROW][C]p-value[/C][C](0.0064)[/C][C](0.0132)[/C][C](0.0119)[/C][/ROW]
[ROW][C]O;happiness[/C][C]0.0289[/C][C]0.0758[/C][C]0.0656[/C][/ROW]
[ROW][C]p-value[/C][C](0.7479)[/C][C](0.3989)[/C][C](0.3827)[/C][/ROW]
[ROW][C]O;depression[/C][C]0.0121[/C][C]0.0529[/C][C]0.0438[/C][/ROW]
[ROW][C]p-value[/C][C](0.8929)[/C][C](0.5562)[/C][C](0.5513)[/C][/ROW]
[ROW][C]CMD;PEC[/C][C]0.2842[/C][C]0.2538[/C][C]0.1955[/C][/ROW]
[ROW][C]p-value[/C][C](0.0013)[/C][C](0.0041)[/C][C](0.002)[/C][/ROW]
[ROW][C]CMD;happiness[/C][C]-0.0568[/C][C]-0.0939[/C][C]-0.0788[/C][/ROW]
[ROW][C]p-value[/C][C](0.5275)[/C][C](0.2955)[/C][C](0.2854)[/C][/ROW]
[ROW][C]CMD;depression[/C][C]0.0121[/C][C]0.0338[/C][C]0.0269[/C][/ROW]
[ROW][C]p-value[/C][C](0.8927)[/C][C](0.7068)[/C][C](0.71)[/C][/ROW]
[ROW][C]PEC;happiness[/C][C]-0.1435[/C][C]-0.1395[/C][C]-0.115[/C][/ROW]
[ROW][C]p-value[/C][C](0.109)[/C][C](0.1194)[/C][C](0.1228)[/C][/ROW]
[ROW][C]PEC;depression[/C][C]-0.0662[/C][C]-0.068[/C][C]-0.0555[/C][/ROW]
[ROW][C]p-value[/C][C](0.4612)[/C][C](0.449)[/C][C](0.4471)[/C][/ROW]
[ROW][C]happiness;depression[/C][C]0.0919[/C][C]0.097[/C][C]0.0906[/C][/ROW]
[ROW][C]p-value[/C][C](0.3063)[/C][C](0.2799)[/C][C](0.2872)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107757&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107757&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
pair	Pearson r	Spearman rho	Kendall tau
PS;O	0.3163	0.2749	0.1998
p-value	(3e-04)	(0.0018)	(0.0019)
PS;CMD	0.2452	0.249	0.1774
p-value	(0.0056)	(0.0049)	(0.0051)
PS;PEC	0.1936	0.1459	0.1035
p-value	(0.0298)	(0.103)	(0.1055)
PS;happiness	0.0249	0.054	0.0437
p-value	(0.7815)	(0.5478)	(0.5577)
PS;depression	0.0304	0.1136	0.0925
p-value	(0.7353)	(0.2051)	(0.2047)
O;CMD	0.0173	0.0108	0.0088
p-value	(0.8472)	(0.9049)	(0.8901)
O;PEC	-0.2418	-0.2202	-0.1621
p-value	(0.0064)	(0.0132)	(0.0119)
O;happiness	0.0289	0.0758	0.0656
p-value	(0.7479)	(0.3989)	(0.3827)
O;depression	0.0121	0.0529	0.0438
p-value	(0.8929)	(0.5562)	(0.5513)
CMD;PEC	0.2842	0.2538	0.1955
p-value	(0.0013)	(0.0041)	(0.002)
CMD;happiness	-0.0568	-0.0939	-0.0788
p-value	(0.5275)	(0.2955)	(0.2854)
CMD;depression	0.0121	0.0338	0.0269
p-value	(0.8927)	(0.7068)	(0.71)
PEC;happiness	-0.1435	-0.1395	-0.115
p-value	(0.109)	(0.1194)	(0.1228)
PEC;depression	-0.0662	-0.068	-0.0555
p-value	(0.4612)	(0.449)	(0.4471)
happiness;depression	0.0919	0.097	0.0906
p-value	(0.3063)	(0.2799)	(0.2872)

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code