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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, 22 Dec 2011 14:51:08 -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/22/t13245835368kfipjdxg1483j2.htm/, Retrieved Fri, 03 May 2024 12:42:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159918, Retrieved Fri, 03 May 2024 12:42:16 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [] [2011-12-22 19:51:08] [bd7a66e2f212a6bc9afe853e3942ee45] [Current]
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Dataseries X:
20465	159261	91	19	67	23975
33629	189672	59	20	56	85634
1423	7215	18	0	0	1929
25629	129098	95	27	63	36294
54002	230632	136	31	116	72255
151036	515038	263	36	138	189748
33287	180745	56	23	71	61834
31172	185559	59	30	107	68167
28113	154581	44	30	50	38462
57803	298001	96	26	79	101219
49830	121844	75	24	58	43270
52143	184039	69	30	91	76183
21055	100324	98	22	41	31476
47007	220269	119	28	100	62157
28735	170952	61	18	61	46261
59147	154647	88	22	74	50063
78950	142018	57	33	131	64483
13497	79030	61	15	45	2341
46154	167047	87	34	110	48149
53249	27997	24	18	41	12743
10726	73019	59	15	37	18743
83700	241082	100	30	84	97057
40400	195820	72	25	67	17675
33797	142001	54	34	69	33106
36205	145433	86	21	58	53311
30165	183744	32	21	60	42754
58534	202357	163	25	88	59056
44663	199532	93	31	75	101621
92556	354924	118	31	98	118120
40078	192399	44	20	67	79572
34711	182286	44	28	84	42744
31076	181590	45	22	62	65931
74608	133801	105	17	35	38575
58092	233686	123	25	74	28795
42009	219428	53	24	89	94440
0	0	1	0	0	0
36022	223044	63	28	79	38229
23333	100129	51	14	39	31972
53349	145864	49	35	101	40071
92596	249965	64	34	135	132480
49598	242379	71	22	76	62797
44093	145794	59	34	118	40429
84205	103623	33	23	76	45545
63369	195891	78	24	65	57568
60132	117156	50	26	97	39019
37403	157787	95	22	67	53866
24460	81293	32	35	63	38345
46456	237435	101	24	96	50210
66616	233155	89	31	112	80947
41554	160344	59	26	75	43461
22346	48188	28	22	39	14812
30874	161922	69	21	63	37819
68701	307432	74	27	93	102738
35728	235223	79	30	76	54509
29010	195583	59	33	117	62956
23110	146061	56	11	30	55411
38844	208834	67	26	65	50611
27084	93764	24	26	78	26692
35139	151985	66	23	87	60056
57476	193222	96	38	85	25155
33277	148922	60	31	115	42840
31141	132856	80	20	62	39358
61281	129561	61	22	60	47241
25820	112718	37	26	67	49611
23284	160930	35	26	90	41833
35378	99184	41	33	100	48930
74990	192535	70	36	135	110600
29653	138708	65	25	71	52235
64622	114408	38	24	75	53986
4157	31970	15	21	42	4105
29245	225558	112	19	42	59331
50008	139220	72	12	8	47796
52338	113612	68	30	86	38302
13310	108641	71	21	41	14063
92901	162203	67	34	118	54414
10956	100098	44	32	91	9903
34241	174768	60	28	102	53987
75043	158459	97	28	89	88937
21152	80934	30	21	46	21928
42249	84971	71	31	60	29487
42005	80545	68	26	69	35334
41152	287191	64	29	95	57596
14399	62974	28	23	17	29750
28263	134091	40	25	61	41029
17215	75555	46	22	55	12416
48140	162154	55	26	55	51158
62897	227638	229	33	124	79935
22883	115367	112	24	73	26552
41622	108749	62	24	73	25807
40715	155537	52	21	67	50620
65897	153133	41	28	66	61467
76542	165618	78	27	75	65292
37477	151517	57	25	83	55516
53216	133686	58	15	55	42006
40911	61342	40	13	27	26273
57021	245196	117	36	115	90248
73116	195576	70	24	76	61476
3895	19349	12	1	0	9604
46609	225371	105	24	83	45108
29351	153213	78	31	90	47232
2325	59117	29	4	4	3439
31747	91762	24	21	60	30553
32665	136769	54	23	63	24751
19249	114798	61	23	52	34458
15292	85338	40	12	24	24649
5842	27676	22	16	17	2342
33994	153535	48	29	105	52739
13018	122417	37	26	20	6245
0	0	0	0	0	0
98177	91529	32	25	51	35381
37941	107205	67	21	76	19595
31032	144664	45	23	59	50848
32683	146445	63	21	70	39443
34545	76656	60	21	38	27023
0	3616	5	0	0	0
0	0	0	0	0	0
27525	183088	44	23	81	61022
66856	144677	84	33	78	63528
28549	159104	98	30	73	34835
38610	113273	38	23	89	37172
2781	43410	19	1	3	13
41211	175774	73	29	87	62548
22698	95401	42	18	51	31334
41194	134837	55	33	73	20839
32689	60493	40	12	32	5084
5752	19764	12	2	4	9927
26757	164062	56	21	70	53229
22527	132696	33	28	102	29877
44810	155367	54	29	91	37310
0	11796	9	2	1	0
0	10674	9	0	0	0
100674	142261	57	18	39	50067
0	6836	3	1	0	0
57786	162563	63	21	45	47708
0	5118	3	0	0	0
5444	40248	16	4	7	6012
0	0	0	0	0	0
28470	122641	47	25	75	27749
61849	88837	38	26	52	47555
0	7131	4	0	0	0
2179	9056	14	4	1	1336
8019	76611	24	17	49	11017
39644	132697	51	21	69	55184
23494	100681	19	22	56	43485




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
R Framework error message & 
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=159918&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=159918&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159918&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 time2 seconds
R Server'AstonUniversity' @ aston.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.







Correlations for all pairs of data series (method=kendall)
CharactersTimeRFCLoginsPRFMinPRCompSec
Characters10.4740.4590.4280.4660.539
TimeRFC0.47410.560.4380.5370.655
Logins0.4590.5610.3640.4080.438
PR0.4280.4380.36410.6850.418
FMinPR0.4660.5370.4080.68510.506
CompSec 0.5390.6550.4380.4180.5061

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Characters & TimeRFC & Logins & PR & FMinPR & CompSec
 \tabularnewline
Characters & 1 & 0.474 & 0.459 & 0.428 & 0.466 & 0.539 \tabularnewline
TimeRFC & 0.474 & 1 & 0.56 & 0.438 & 0.537 & 0.655 \tabularnewline
Logins & 0.459 & 0.56 & 1 & 0.364 & 0.408 & 0.438 \tabularnewline
PR & 0.428 & 0.438 & 0.364 & 1 & 0.685 & 0.418 \tabularnewline
FMinPR & 0.466 & 0.537 & 0.408 & 0.685 & 1 & 0.506 \tabularnewline
CompSec
 & 0.539 & 0.655 & 0.438 & 0.418 & 0.506 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159918&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Characters[/C][C]TimeRFC[/C][C]Logins[/C][C]PR[/C][C]FMinPR[/C][C]CompSec
[/C][/ROW]
[ROW][C]Characters[/C][C]1[/C][C]0.474[/C][C]0.459[/C][C]0.428[/C][C]0.466[/C][C]0.539[/C][/ROW]
[ROW][C]TimeRFC[/C][C]0.474[/C][C]1[/C][C]0.56[/C][C]0.438[/C][C]0.537[/C][C]0.655[/C][/ROW]
[ROW][C]Logins[/C][C]0.459[/C][C]0.56[/C][C]1[/C][C]0.364[/C][C]0.408[/C][C]0.438[/C][/ROW]
[ROW][C]PR[/C][C]0.428[/C][C]0.438[/C][C]0.364[/C][C]1[/C][C]0.685[/C][C]0.418[/C][/ROW]
[ROW][C]FMinPR[/C][C]0.466[/C][C]0.537[/C][C]0.408[/C][C]0.685[/C][C]1[/C][C]0.506[/C][/ROW]
[ROW][C]CompSec
[/C][C]0.539[/C][C]0.655[/C][C]0.438[/C][C]0.418[/C][C]0.506[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159918&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159918&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)
CharactersTimeRFCLoginsPRFMinPRCompSec
Characters10.4740.4590.4280.4660.539
TimeRFC0.47410.560.4380.5370.655
Logins0.4590.5610.3640.4080.438
PR0.4280.4380.36410.6850.418
FMinPR0.4660.5370.4080.68510.506
CompSec 0.5390.6550.4380.4180.5061







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Characters;TimeRFC0.69120.62790.4739
p-value(0)(0)(0)
Characters;Logins0.61790.60530.459
p-value(0)(0)(0)
Characters;PR0.61660.57270.4279
p-value(0)(0)(0)
Characters;FMinPR0.64220.61410.4665
p-value(0)(0)(0)
Characters;CompSec 0.75630.70170.5394
p-value(0)(0)(0)
TimeRFC;Logins0.76770.72780.5597
p-value(0)(0)(0)
TimeRFC;PR0.67760.58950.4379
p-value(0)(0)(0)
TimeRFC;FMinPR0.74110.71230.5368
p-value(0)(0)(0)
TimeRFC;CompSec 0.86040.82190.6552
p-value(0)(0)(0)
Logins;PR0.55680.49390.3639
p-value(0)(0)(0)
Logins;FMinPR0.59420.55020.4083
p-value(0)(0)(0)
Logins;CompSec 0.65340.5920.4377
p-value(0)(0)(0)
PR;FMinPR0.88320.83570.6849
p-value(0)(0)(0)
PR;CompSec 0.61970.5590.4177
p-value(0)(0)(0)
FMinPR;CompSec 0.71130.67750.5063
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
Characters;TimeRFC & 0.6912 & 0.6279 & 0.4739 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Characters;Logins & 0.6179 & 0.6053 & 0.459 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Characters;PR & 0.6166 & 0.5727 & 0.4279 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Characters;FMinPR & 0.6422 & 0.6141 & 0.4665 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Characters;CompSec
 & 0.7563 & 0.7017 & 0.5394 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
TimeRFC;Logins & 0.7677 & 0.7278 & 0.5597 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
TimeRFC;PR & 0.6776 & 0.5895 & 0.4379 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
TimeRFC;FMinPR & 0.7411 & 0.7123 & 0.5368 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
TimeRFC;CompSec
 & 0.8604 & 0.8219 & 0.6552 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Logins;PR & 0.5568 & 0.4939 & 0.3639 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Logins;FMinPR & 0.5942 & 0.5502 & 0.4083 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Logins;CompSec
 & 0.6534 & 0.592 & 0.4377 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
PR;FMinPR & 0.8832 & 0.8357 & 0.6849 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
PR;CompSec
 & 0.6197 & 0.559 & 0.4177 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
FMinPR;CompSec
 & 0.7113 & 0.6775 & 0.5063 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159918&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]Characters;TimeRFC[/C][C]0.6912[/C][C]0.6279[/C][C]0.4739[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Characters;Logins[/C][C]0.6179[/C][C]0.6053[/C][C]0.459[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Characters;PR[/C][C]0.6166[/C][C]0.5727[/C][C]0.4279[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Characters;FMinPR[/C][C]0.6422[/C][C]0.6141[/C][C]0.4665[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Characters;CompSec
[/C][C]0.7563[/C][C]0.7017[/C][C]0.5394[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]TimeRFC;Logins[/C][C]0.7677[/C][C]0.7278[/C][C]0.5597[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]TimeRFC;PR[/C][C]0.6776[/C][C]0.5895[/C][C]0.4379[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]TimeRFC;FMinPR[/C][C]0.7411[/C][C]0.7123[/C][C]0.5368[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]TimeRFC;CompSec
[/C][C]0.8604[/C][C]0.8219[/C][C]0.6552[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Logins;PR[/C][C]0.5568[/C][C]0.4939[/C][C]0.3639[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Logins;FMinPR[/C][C]0.5942[/C][C]0.5502[/C][C]0.4083[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Logins;CompSec
[/C][C]0.6534[/C][C]0.592[/C][C]0.4377[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]PR;FMinPR[/C][C]0.8832[/C][C]0.8357[/C][C]0.6849[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]PR;CompSec
[/C][C]0.6197[/C][C]0.559[/C][C]0.4177[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]FMinPR;CompSec
[/C][C]0.7113[/C][C]0.6775[/C][C]0.5063[/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=159918&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159918&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
Characters;TimeRFC0.69120.62790.4739
p-value(0)(0)(0)
Characters;Logins0.61790.60530.459
p-value(0)(0)(0)
Characters;PR0.61660.57270.4279
p-value(0)(0)(0)
Characters;FMinPR0.64220.61410.4665
p-value(0)(0)(0)
Characters;CompSec 0.75630.70170.5394
p-value(0)(0)(0)
TimeRFC;Logins0.76770.72780.5597
p-value(0)(0)(0)
TimeRFC;PR0.67760.58950.4379
p-value(0)(0)(0)
TimeRFC;FMinPR0.74110.71230.5368
p-value(0)(0)(0)
TimeRFC;CompSec 0.86040.82190.6552
p-value(0)(0)(0)
Logins;PR0.55680.49390.3639
p-value(0)(0)(0)
Logins;FMinPR0.59420.55020.4083
p-value(0)(0)(0)
Logins;CompSec 0.65340.5920.4377
p-value(0)(0)(0)
PR;FMinPR0.88320.83570.6849
p-value(0)(0)(0)
PR;CompSec 0.61970.5590.4177
p-value(0)(0)(0)
FMinPR;CompSec 0.71130.67750.5063
p-value(0)(0)(0)



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')