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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 computationSat, 17 Dec 2011 13:54:40 -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/17/t13241481345z495foill1yptq.htm/, Retrieved Sat, 20 Apr 2024 15:58:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156560, Retrieved Sat, 20 Apr 2024 15:58:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

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] [] [2011-12-17 18:54:40] [fc803cbaf0eb62e67cf40ee2236375c4] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
115	112285	24188	146283
109	84786	18273	98364
146	83123	14130	86146
116	101193	32287	96933
68	38361	8654	79234
101	68504	9245	42551
96	119182	33251	195663
67	22807	1271	6853
44	17140	5279	21529
100	116174	27101	95757
93	57635	16373	85584
140	66198	19716	143983
166	71701	17753	75851
99	57793	9028	59238
139	80444	18653	93163
130	53855	8828	96037
181	97668	29498	151511
116	133824	27563	136368
116	101481	18293	112642
88	99645	22530	94728
139	114789	15977	105499
135	99052	35082	121527
108	67654	16116	127766
89	65553	15849	98958
156	97500	16026	77900
129	69112	26569	85646
118	82753	24785	98579
118	85323	17569	130767
125	72654	23825	131741
95	30727	7869	53907
126	77873	14975	178812
135	117478	37791	146761
154	74007	9605	82036
165	90183	27295	163253
113	61542	2746	27032
127	101494	34461	171975
52	27570	8098	65990
121	55813	4787	86572
136	79215	24919	159676
0	1423	603	1929
108	55461	16329	85371
46	31081	12558	58391
54	22996	7784	31580
124	83122	28522	136815
115	70106	22265	120642
128	60578	14459	69107
80	39992	14526	50495
97	79892	22240	108016
104	49810	11802	46341
59	71570	7623	78348
125	100708	11912	79336
82	33032	7935	56968
149	82875	18220	93176
149	139077	19199	161632
122	71595	19918	87850
118	72260	21884	127969
12	5950	2694	15049
144	115762	15808	155135
67	32551	3597	25109
52	31701	5296	45824
108	80670	25239	102996
166	143558	29801	160604
80	117105	18450	158051
60	23789	7132	44547
107	120733	34861	162647
127	105195	35940	174141
107	73107	16688	60622
146	132068	24683	179566
84	149193	46230	184301
141	46821	10387	75661
123	87011	21436	96144
111	95260	30546	129847
98	55183	19746	117286
105	106671	15977	71180
135	73511	22583	109377
107	92945	17274	85298
85	78664	16469	73631
155	70054	14251	86767
88	22618	3007	23824
155	74011	16851	93487
104	83737	21113	82981
132	69094	17401	73815
127	93133	23958	94552
108	95536	23567	132190
129	225920	13065	128754
116	62133	15358	66363
122	61370	14587	67808
85	43836	12770	61724
147	106117	24021	131722
99	38692	9648	68580
87	84651	20537	106175
28	56622	7905	55792
90	15986	4527	25157
109	95364	30495	76669
78	26706	7117	57283
111	89691	17719	105805
158	67267	27056	129484
141	126846	33473	72413
122	41140	9758	87831
124	102860	21115	96971
93	51715	7236	71299
124	55801	13790	77494
112	111813	32902	120336
108	120293	25131	93913
99	138599	30910	136048
117	161647	35947	181248
199	115929	29848	146123
78	24266	6943	32036
91	162901	42705	186646
158	109825	31808	102255
126	129838	26675	168237
122	37510	8435	64219
71	43750	7409	19630
75	40652	14993	76825
115	87771	36867	115338
119	85872	33835	109427
124	89275	24164	118168
72	44418	12607	84845
91	192565	22609	153197
45	35232	5892	29877
78	40909	17014	63506
39	13294	5394	22445
68	32387	9178	47695
119	140867	6440	68370
117	120662	21916	146304
39	21233	4011	38233
50	44332	5818	42071
88	61056	18647	50517
155	101338	20556	103950
0	1168	238	5841
36	13497	70	2341
123	65567	22392	84396
32	25162	3913	24610
99	32334	12237	35753
136	40735	8388	55515
117	91413	22120	209056
0	855	338	6622
88	97068	11727	115814
39	44339	3704	11609
25	14116	3988	13155
52	10288	3030	18274
75	65622	13520	72875
71	16563	1421	10112
124	76643	20923	142775
151	110681	20237	68847
71	29011	3219	17659
145	92696	3769	20112
87	94785	12252	61023
27	8773	1888	13983
131	83209	14497	65176
162	93815	28864	132432
165	86687	21721	112494
54	34553	4821	45109
159	105547	33644	170875
147	103487	15923	180759
170	213688	42935	214921
119	71220	18864	100226
49	23517	4977	32043
104	56926	7785	54454
120	91721	17939	78876
150	115168	23436	170745
112	111194	325	6940
59	51009	13539	49025
136	135777	34538	122037
107	51513	12198	53782
130	74163	26924	127748
115	51633	12716	86839
107	75345	8172	44830
75	33416	10855	77395
71	83305	11932	89324
120	98952	14300	103300
116	102372	25515	112283
79	37238	2805	10901
150	103772	29402	120691
156	123969	16440	58106
51	27142	11221	57140
118	135400	28732	122422
71	21399	5250	25899
144	130115	28608	139296
47	24874	8092	52678
28	34988	4473	23853
68	45549	1572	17306
0	6023	2065	7953
110	64466	14817	89455
147	54990	16714	147866
0	1644	556	4245
15	6179	2089	21509
4	3926	2658	7670
64	32755	10695	66675
111	34777	1669	14336
85	73224	16267	53608
68	27114	7768	30059
40	20760	7252	29668
80	37636	6387	22097
88	65461	18715	96841
48	30080	7936	41907
76	24094	8643	27080
51	69008	7294	35885
67	54968	4570	41247
59	46090	7185	28313
61	27507	10058	36845
76	10672	2342	16548
60	34029	8509	36134
68	46300	13275	55764
71	24760	6816	28910
76	18779	1930	13339
62	21280	8086	25319
61	40662	10737	66956
67	28987	8033	47487
88	22827	7058	52785
30	18513	6782	44683
64	30594	5401	35619
68	24006	6521	21920
64	27913	10856	45608
91	42744	2154	7721
88	12934	6117	20634
52	22574	5238	29788
49	41385	4820	31931
62	18653	5615	37754
61	18472	4272	32505
76	30976	8702	40557
88	63339	15340	94238
66	25568	8030	44197
71	33747	9526	43228
68	4154	1278	4103
48	19474	4236	44144
25	35130	3023	32868
68	39067	7196	27640
41	13310	3394	14063
90	65892	6371	28990
66	4143	1574	4694
54	28579	9620	42648
59	51776	6978	64329
60	21152	4911	21928
77	38084	8645	25836
68	27717	8987	22779
72	32928	5544	40820
67	11342	3083	27530
64	19499	6909	32378
63	16380	3189	10824
59	36874	6745	39613
84	48259	16724	60865
64	16734	4850	19787
56	28207	7025	20107
54	30143	6047	36605
67	41369	7377	40961
58	45833	9078	48231
59	29156	4605	39725
40	35944	3238	21455
22	36278	8100	23430
83	45588	9653	62991
81	45097	8914	49363
2	3895	786	9604
72	28394	6700	24552
61	18632	5788	31493
15	2325	593	3439
32	25139	4506	19555
62	27975	6382	21228
58	14483	5621	23177
36	13127	3997	22094
59	5839	520	2342
68	24069	8891	38798
21	3738	999	3255
55	18625	7067	24261
54	36341	4639	18511
55	24548	5654	40798
72	21792	6928	28893
41	26263	1514	21425
61	23686	9238	50276
67	49303	8204	37643
76	25659	5926	30377
64	28904	5785	27126
3	2781	4	13
63	29236	5930	42097
40	19546	3710	24451
69	22818	705	14335
48	32689	443	5084
8	5752	2416	9927
52	22197	7747	43527
66	20055	5432	27184
76	25272	4913	21610
43	82206	2650	20484
39	32073	2370	20156
14	5444	775	6012
61	20154	5576	18475
71	36944	1352	12645
44	8019	3080	11017
60	30884	10205	37623
64	19540	6095	35873

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
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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.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=156560&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]
[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=156560&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156560&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
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)
feedback_messages_p1totsizetotrevisionstotseconds
feedback_messages_p110.580.5550.554
totsize0.5810.6490.657
totrevisions0.5550.64910.75
totseconds 0.5540.6570.751

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & feedback_messages_p1 & totsize & totrevisions & totseconds
 \tabularnewline
feedback_messages_p1 & 1 & 0.58 & 0.555 & 0.554 \tabularnewline
totsize & 0.58 & 1 & 0.649 & 0.657 \tabularnewline
totrevisions & 0.555 & 0.649 & 1 & 0.75 \tabularnewline
totseconds
 & 0.554 & 0.657 & 0.75 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156560&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]feedback_messages_p1[/C][C]totsize[/C][C]totrevisions[/C][C]totseconds
[/C][/ROW]
[ROW][C]feedback_messages_p1[/C][C]1[/C][C]0.58[/C][C]0.555[/C][C]0.554[/C][/ROW]
[ROW][C]totsize[/C][C]0.58[/C][C]1[/C][C]0.649[/C][C]0.657[/C][/ROW]
[ROW][C]totrevisions[/C][C]0.555[/C][C]0.649[/C][C]1[/C][C]0.75[/C][/ROW]
[ROW][C]totseconds
[/C][C]0.554[/C][C]0.657[/C][C]0.75[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156560&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156560&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)
feedback_messages_p1totsizetotrevisionstotseconds
feedback_messages_p110.580.5550.554
totsize0.5810.6490.657
totrevisions0.5550.64910.75
totseconds 0.5540.6570.751






Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
feedback_messages_p1;totsize0.7350.79070.5799
p-value(0)(0)(0)
feedback_messages_p1;totrevisions0.70660.7560.5551
p-value(0)(0)(0)
feedback_messages_p1;totseconds 0.73490.76540.5545
p-value(0)(0)(0)
totsize;totrevisions0.80780.82890.6491
p-value(0)(0)(0)
totsize;totseconds 0.82320.84150.6567
p-value(0)(0)(0)
totrevisions;totseconds 0.87460.91850.7495
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
feedback_messages_p1;totsize & 0.735 & 0.7907 & 0.5799 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
feedback_messages_p1;totrevisions & 0.7066 & 0.756 & 0.5551 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
feedback_messages_p1;totseconds
 & 0.7349 & 0.7654 & 0.5545 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
totsize;totrevisions & 0.8078 & 0.8289 & 0.6491 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
totsize;totseconds
 & 0.8232 & 0.8415 & 0.6567 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
totrevisions;totseconds
 & 0.8746 & 0.9185 & 0.7495 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156560&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]feedback_messages_p1;totsize[/C][C]0.735[/C][C]0.7907[/C][C]0.5799[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]feedback_messages_p1;totrevisions[/C][C]0.7066[/C][C]0.756[/C][C]0.5551[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]feedback_messages_p1;totseconds
[/C][C]0.7349[/C][C]0.7654[/C][C]0.5545[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]totsize;totrevisions[/C][C]0.8078[/C][C]0.8289[/C][C]0.6491[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]totsize;totseconds
[/C][C]0.8232[/C][C]0.8415[/C][C]0.6567[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]totrevisions;totseconds
[/C][C]0.8746[/C][C]0.9185[/C][C]0.7495[/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=156560&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156560&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
feedback_messages_p1;totsize0.7350.79070.5799
p-value(0)(0)(0)
feedback_messages_p1;totrevisions0.70660.7560.5551
p-value(0)(0)(0)
feedback_messages_p1;totseconds 0.73490.76540.5545
p-value(0)(0)(0)
totsize;totrevisions0.80780.82890.6491
p-value(0)(0)(0)
totsize;totseconds 0.82320.84150.6567
p-value(0)(0)(0)
totrevisions;totseconds 0.87460.91850.7495
p-value(0)(0)(0)


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')