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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Tue, 13 Dec 2011 07:30:08 -0500

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/2011/Dec/13/t13237794794vp9dvlk28dhn3l.htm/, Retrieved Thu, 02 May 2024 17:36:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=154373, Retrieved Thu, 02 May 2024 17:36:08 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

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]
- RMPD    [Kendall tau Correlation Matrix] [Workshop 10 - Ken...] [2011-12-13 12:30:08] [22431204c416bf26bfe4de00cd8c0d22] [Current]

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Dataseries X:

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Histogram

Boxplots

264530	124252	25695	147	148
135248	98956	19967	126	124
207253	98073	14338	108	108
202898	106816	34117	145	142
145249	41449	9713	68	66
65295	76173	10024	49	47
442857	177551	39981	171	163
33186	22807	1271	5	5
183696	126938	30207	106	106
194006	61680	18035	88	87
287239	72117	21609	145	141
205260	79738	19836	93	88
141987	57793	9028	60	60
322679	91677	21750	145	145
199717	64631	10038	95	95
349227	106385	30276	144	137
278282	161961	34972	179	177
274382	112669	19954	102	102
157448	114029	28113	157	151
244170	124550	18830	170	156
256814	105416	37144	140	140
405942	72875	17916	133	130
161189	81964	16186	74	71
156389	104880	19195	120	116
200181	76302	29124	134	129
192645	96740	29813	108	107
249893	93071	20270	132	128
241171	78912	26105	125	119
143182	35224	9155	66	62
285266	90694	18113	130	124
243048	125369	40546	143	140
176062	80849	10096	150	144
305210	104434	32338	152	150
87995	65702	2871	28	28
343613	108179	36592	190	177
264159	63583	4914	73	73
394976	95066	30190	115	111
192718	62486	18153	101	98
114673	31081	12558	41	41
310170	94584	32894	147	139
292891	87408	24138	107	107
157518	68966	16628	103	102
180362	88766	26369	84	80
146175	57139	14171	68	66
140319	90586	8500	52	51
405293	109249	11940	70	69
78800	33032	7935	21	21
201970	96056	19456	155	155
312381	146648	21347	165	163
166270	80613	24095	124	121
199186	87026	26204	121	118
24188	5950	2694	7	7
348637	131106	20366	161	154
65029	32551	3597	21	21
101097	31701	5296	35	35
255082	91072	29463	125	122
287314	159803	35838	157	152
308944	143950	42590	256	255
280943	112368	38665	192	177
225816	82124	19442	86	83
348955	144068	25515	164	164
283283	162627	51318	213	202
199642	55062	11807	80	77
232791	95329	24130	122	118
212262	105612	34053	122	123
206826	62853	22641	113	109
180424	125976	18898	128	126
204450	79146	24539	117	114
200629	108461	21664	162	161
138731	99971	21577	87	85
219808	77826	16643	103	101
73566	22618	3007	26	25
222145	84892	18798	104	102
181728	92059	24648	127	126
150006	77993	20286	132	130
325723	104155	23999	112	112
268863	109840	26813	155	150
202410	238712	14718	57	54
173420	67486	16963	109	106
162366	68007	16673	92	90
136341	48194	14646	57	55
390163	134796	31772	145	139
145905	38692	9648	38	38
248834	93587	23096	152	148
80953	56622	7905	59	58
133301	15986	4527	27	27
138630	113402	37432	104	104
334082	97967	21082	80	75
277542	74844	30437	76	73
170849	136051	36288	163	157
236398	50548	12369	89	87
207178	112215	23774	199	186
157125	59591	8108	89	88
242395	59938	15049	107	107
273632	137639	36021	137	131
178489	143372	30391	123	123
210247	138599	30910	152	149
268066	174110	40656	202	201
351056	135062	35070	159	145
368833	175681	47250	282	273
247842	130307	36236	111	111
268118	139141	29601	197	195
174311	44244	10443	72	69
43287	43750	7409	49	49
182915	48029	18213	82	82
189021	95216	40856	192	193
237531	92288	36471	102	102
279589	94588	26077	127	124
106655	197426	24797	60	59
135798	151244	6816	61	61
292930	139206	25527	106	102
266805	106271	22139	139	138
23623	1168	238	11	11
174970	71764	24459	114	114
61857	25162	3913	31	28
151306	45635	9895	132	101
358662	101817	25902	210	208
21054	855	338	4	4
230091	100174	12937	98	93
31414	14116	3988	39	39
284519	85008	23370	119	114
209481	124254	24015	107	104
161691	105793	3870	41	40
137093	117129	14648	97	94
38214	8773	1888	16	16
166059	94747	16768	65	64
323179	107549	33400	156	154
186273	97392	23770	158	145
374269	126893	34762	160	150
280897	118850	18793	161	156
371680	234853	48186	238	229
179928	74783	20140	85	84
94381	66089	8728	50	49
273422	95684	19060	106	101
382564	139537	26880	184	179
118033	144253	415	15	15
370878	153824	38902	155	154
147989	63995	17375	90	90
236370	84891	31360	133	133
193456	61263	15051	136	133
189020	106221	16785	109	97
344751	113587	15886	118	116
224936	113864	28548	222	221
173260	37238	2805	16	15
291777	119906	34012	162	157
130908	135096	19215	108	105
209639	151611	34177	153	150
262412	144645	32990	181	177
1	0	0	0	0
14688	6023	2065	5	5
98	0	0	0	0
455	0	0	0	0
0	0	0	0	0
0	0	0	0	0
195822	77457	17428	113	111
347930	62464	19912	165	165
0	0	0	0	0
203	0	0	0	0
7199	1644	556	6	6
46660	6179	2089	13	13
17547	3926	2658	3	3
107465	42087	1801	33	33
969	0	0	0	0
182303	87656	16541	67	63

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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=154373&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=154373&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154373&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	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Correlations for all pairs of data series (method=kendall)
	TimeRFCsec	CWCharacters	CWRevisions	CWHyperlinks	CWBlogs
TimeRFCsec	1	0.498	0.55	0.594	0.598
CWCharacters	0.498	1	0.595	0.579	0.583
CWRevisions	0.55	0.595	1	0.661	0.67
CWHyperlinks	0.594	0.579	0.661	1	0.972
CWBlogs	0.598	0.583	0.67	0.972	1

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & TimeRFCsec & CWCharacters & CWRevisions & CWHyperlinks & CWBlogs \tabularnewline
TimeRFCsec & 1 & 0.498 & 0.55 & 0.594 & 0.598 \tabularnewline
CWCharacters & 0.498 & 1 & 0.595 & 0.579 & 0.583 \tabularnewline
CWRevisions & 0.55 & 0.595 & 1 & 0.661 & 0.67 \tabularnewline
CWHyperlinks & 0.594 & 0.579 & 0.661 & 1 & 0.972 \tabularnewline
CWBlogs & 0.598 & 0.583 & 0.67 & 0.972 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154373&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]TimeRFCsec[/C][C]CWCharacters[/C][C]CWRevisions[/C][C]CWHyperlinks[/C][C]CWBlogs[/C][/ROW]
[ROW][C]TimeRFCsec[/C][C]1[/C][C]0.498[/C][C]0.55[/C][C]0.594[/C][C]0.598[/C][/ROW]
[ROW][C]CWCharacters[/C][C]0.498[/C][C]1[/C][C]0.595[/C][C]0.579[/C][C]0.583[/C][/ROW]
[ROW][C]CWRevisions[/C][C]0.55[/C][C]0.595[/C][C]1[/C][C]0.661[/C][C]0.67[/C][/ROW]
[ROW][C]CWHyperlinks[/C][C]0.594[/C][C]0.579[/C][C]0.661[/C][C]1[/C][C]0.972[/C][/ROW]
[ROW][C]CWBlogs[/C][C]0.598[/C][C]0.583[/C][C]0.67[/C][C]0.972[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154373&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154373&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)
	TimeRFCsec	CWCharacters	CWRevisions	CWHyperlinks	CWBlogs
TimeRFCsec	1	0.498	0.55	0.594	0.598
CWCharacters	0.498	1	0.595	0.579	0.583
CWRevisions	0.55	0.595	1	0.661	0.67
CWHyperlinks	0.594	0.579	0.661	1	0.972
CWBlogs	0.598	0.583	0.67	0.972	1

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
TimeRFCsec;CWCharacters	0.6927	0.6541	0.4981
p-value	(0)	(0)	(0)
TimeRFCsec;CWRevisions	0.7311	0.7258	0.5501
p-value	(0)	(0)	(0)
TimeRFCsec;CWHyperlinks	0.7824	0.7688	0.5941
p-value	(0)	(0)	(0)
TimeRFCsec;CWBlogs	0.7811	0.7717	0.5979
p-value	(0)	(0)	(0)
CWCharacters;CWRevisions	0.7637	0.7561	0.5953
p-value	(0)	(0)	(0)
CWCharacters;CWHyperlinks	0.7395	0.7307	0.5787
p-value	(0)	(0)	(0)
CWCharacters;CWBlogs	0.7405	0.7358	0.5834
p-value	(0)	(0)	(0)
CWRevisions;CWHyperlinks	0.8563	0.8284	0.6611
p-value	(0)	(0)	(0)
CWRevisions;CWBlogs	0.8583	0.8369	0.6702
p-value	(0)	(0)	(0)
CWHyperlinks;CWBlogs	0.9981	0.9962	0.9719
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
TimeRFCsec;CWCharacters & 0.6927 & 0.6541 & 0.4981 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
TimeRFCsec;CWRevisions & 0.7311 & 0.7258 & 0.5501 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
TimeRFCsec;CWHyperlinks & 0.7824 & 0.7688 & 0.5941 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
TimeRFCsec;CWBlogs & 0.7811 & 0.7717 & 0.5979 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
CWCharacters;CWRevisions & 0.7637 & 0.7561 & 0.5953 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
CWCharacters;CWHyperlinks & 0.7395 & 0.7307 & 0.5787 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
CWCharacters;CWBlogs & 0.7405 & 0.7358 & 0.5834 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
CWRevisions;CWHyperlinks & 0.8563 & 0.8284 & 0.6611 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
CWRevisions;CWBlogs & 0.8583 & 0.8369 & 0.6702 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
CWHyperlinks;CWBlogs & 0.9981 & 0.9962 & 0.9719 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154373&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]TimeRFCsec;CWCharacters[/C][C]0.6927[/C][C]0.6541[/C][C]0.4981[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]TimeRFCsec;CWRevisions[/C][C]0.7311[/C][C]0.7258[/C][C]0.5501[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]TimeRFCsec;CWHyperlinks[/C][C]0.7824[/C][C]0.7688[/C][C]0.5941[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]TimeRFCsec;CWBlogs[/C][C]0.7811[/C][C]0.7717[/C][C]0.5979[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]CWCharacters;CWRevisions[/C][C]0.7637[/C][C]0.7561[/C][C]0.5953[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]CWCharacters;CWHyperlinks[/C][C]0.7395[/C][C]0.7307[/C][C]0.5787[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]CWCharacters;CWBlogs[/C][C]0.7405[/C][C]0.7358[/C][C]0.5834[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]CWRevisions;CWHyperlinks[/C][C]0.8563[/C][C]0.8284[/C][C]0.6611[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]CWRevisions;CWBlogs[/C][C]0.8583[/C][C]0.8369[/C][C]0.6702[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]CWHyperlinks;CWBlogs[/C][C]0.9981[/C][C]0.9962[/C][C]0.9719[/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=154373&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154373&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
TimeRFCsec;CWCharacters	0.6927	0.6541	0.4981
p-value	(0)	(0)	(0)
TimeRFCsec;CWRevisions	0.7311	0.7258	0.5501
p-value	(0)	(0)	(0)
TimeRFCsec;CWHyperlinks	0.7824	0.7688	0.5941
p-value	(0)	(0)	(0)
TimeRFCsec;CWBlogs	0.7811	0.7717	0.5979
p-value	(0)	(0)	(0)
CWCharacters;CWRevisions	0.7637	0.7561	0.5953
p-value	(0)	(0)	(0)
CWCharacters;CWHyperlinks	0.7395	0.7307	0.5787
p-value	(0)	(0)	(0)
CWCharacters;CWBlogs	0.7405	0.7358	0.5834
p-value	(0)	(0)	(0)
CWRevisions;CWHyperlinks	0.8563	0.8284	0.6611
p-value	(0)	(0)	(0)
CWRevisions;CWBlogs	0.8583	0.8369	0.6702
p-value	(0)	(0)	(0)
CWHyperlinks;CWBlogs	0.9981	0.9962	0.9719
p-value	(0)	(0)	(0)

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