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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 computationMon, 12 Dec 2011 05:11:13 -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/12/t132368469890vkrebxs8i6ubk.htm/, Retrieved Fri, 03 May 2024 06:25:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=153894, Retrieved Fri, 03 May 2024 06:25:50 +0000
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User-defined keywords
Estimated Impact146
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] [B1] [2011-12-12 10:10:38] [0f81819b439c6e991d1a2004e9982756]
-   P       [Kendall tau Correlation Matrix] [B2] [2011-12-12 10:11:13] [cdf03f2f7d2bbe3f2da091606ae8e03f] [Current]
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Dataseries X:
11.5	8	350	165	3693
11	8	318	150	3436
10.5	8	302	140	3449
10	8	429	198	4341
8.5	8	440	215	4312
10	8	455	225	4425
10	8	383	170	3563
8	8	340	160	3609
10	8	455	225	3086
15	4	113	95	2372
15.5	6	199	97	2774
20.5	4	97	46	1835
17.5	4	110	87	2672
17.5	4	104	95	2375
12.5	4	121	113	2234
14	8	360	215	4615
15	8	307	200	4376
18.5	8	304	193	4732
14.5	4	97	88	2130
14	4	113	95	2228
15.5	6	250	100	3329
15.5	6	232	100	3288
12	8	350	165	4209
13	8	318	150	4096
12	8	400	170	4746
12	8	400	175	5140
19	4	140	72	2408
15	6	250	100	3282
14	4	122	86	2220
14	4	116	90	2123
14.5	4	88	76	2065
19	4	71	65	1773
19	4	97	60	1834
20.5	4	91	70	1955
17	4	97.5	80	2126
16.5	4	122	86	2226
12	8	350	165	4274
13.5	8	318	150	4135
13	8	351	153	4129
11	8	429	208	4633
13.5	8	350	155	4502
12.5	8	400	190	4422
13.5	3	70	97	2330
14	8	307	130	4098
16	8	302	140	4294
14.5	4	121	112	2933
18	4	121	76	2511
16	4	122	86	2395
14.5	4	120	97	2506
15	4	98	80	2164
13	8	350	175	4100
11.5	8	304	150	3672
14.5	8	302	137	4042
12.5	8	318	150	3777
12	8	400	150	4464
13	8	351	158	4363
11	8	440	215	4735
11	8	455	225	4951
16.5	6	225	105	3121
18	6	250	100	3278
16.5	6	250	88	3021
16	6	198	95	2904
14	8	400	150	4997
12.5	8	350	180	4499
15	6	232	100	2789
19.5	4	140	72	2401
16.5	4	108	94	2379
18.5	4	122	85	2310
14	6	155	107	2472
13	8	350	145	4082
9.5	8	400	230	4278
15.5	4	116	75	2158
14	4	114	91	2582
11	8	318	150	3399
14	4	121	110	2660
11	8	350	180	3664
16.5	6	198	95	3102
16	6	232	100	2901
16.5	4	122	80	2451
21	4	71	65	1836
17	6	250	100	3781
18	6	258	110	3632
14	8	302	140	4141
14.5	8	350	150	4699
16	8	302	140	4638
15.5	8	304	150	4257
15.5	4	79	67	1963
14.5	4	97	78	2300
19	4	83	61	2003
14.5	4	90	75	2125
14	4	116	75	2246
15	4	120	97	2489
16	4	79	67	2000
16	6	225	95	3264
19.5	6	250	72	3158
11.5	8	400	170	4668
14	8	350	145	4440
13.5	8	351	148	4657
21	6	231	110	3907
19	6	258	110	3730
19	6	225	95	3785
13.5	8	262	110	3221
12	8	302	129	3169
17	4	140	83	2639
16	6	232	100	2914
13.5	4	134	96	2702
16.5	4	90	71	2223
14.5	6	171	97	2984
15	4	115	95	2694
17	4	120	88	2957
13.5	4	121	115	2671
17.5	4	91	53	1795
16.9	4	116	81	2220
14.9	4	140	92	2572
15.3	4	101	83	2202
13	8	305	140	4215
13.9	8	304	120	3962
12.8	8	351	152	4215
14.5	6	250	105	3353
17.6	6	200	81	3012
22.2	4	85	52	2035
22.1	4	98	60	2164
17.7	6	225	100	3651
16.2	6	250	110	3645
17.8	6	258	95	3193
17	4	85	70	1990
16.4	4	97	75	2155
15.7	4	130	102	3150
13.2	8	318	150	3940
16.7	6	168	120	3820
12.1	8	350	180	4380
15	8	302	130	3870
14	8	318	150	3755
14.8	4	111	80	2155
18.6	4	79	58	1825
16.8	4	85	70	1945
12.5	8	305	145	3880
13.7	8	318	145	4140
16.9	6	231	105	3425
17.7	6	225	100	3630
11.1	8	400	180	4220
11.4	8	350	170	4165
14.5	8	351	149	4335
14.5	4	97	78	1940
18.2	4	97	75	2265
15.8	4	140	89	2755
15.9	4	98	83	2075
16.4	4	97	67	1985
14.5	6	146	97	2815
12.8	4	121	110	2600
21.5	4	90	48	1985
14.4	4	98	66	1800
18.6	4	85	70	2070
13.2	8	318	140	3735
12.8	8	302	139	3570
18.2	6	200	95	3155
15.8	6	200	85	2965
17.2	6	225	100	3430
17.2	6	232	90	3210
16.7	6	200	85	3070
18.7	6	225	110	3620
13.2	8	305	145	3425
13.4	6	231	165	3445
13.7	8	318	140	4080
16.5	4	98	68	2155
14.7	4	119	97	2300
14.5	4	105	75	2230
17.6	4	151	85	2855
15.9	5	131	103	2830
13.6	6	163	125	3140
15.8	6	163	133	3410
14.9	4	89	71	1990
16.6	4	98	68	2135
18.2	6	200	85	2990
17.3	4	140	88	2890
16.6	6	225	110	3360
15.4	8	305	130	3840
13.2	8	351	138	3955
15.2	8	318	135	3830
14.3	8	351	142	4054
15	8	267	125	3605
14	4	89	71	1925
15.2	4	86	65	1975
15	4	121	80	2670
24.8	4	141	71	3190
22.2	8	260	90	3420
14.9	4	105	70	2150
19.2	4	85	65	2020
16	4	151	90	2670
11.3	6	173	115	2595
13.2	4	151	90	2556
14.7	4	98	76	2144
15.5	4	98	70	2120
16.4	4	86	65	2019
18.1	4	140	88	2870
20.1	4	151	90	3003
15.8	4	97	78	2188
15.5	4	134	90	2711
15	4	119	92	2434
15.2	4	108	75	2265
14.4	4	156	105	2800
19.2	4	85	65	2110
19.9	5	121	67	2950
13.8	4	91	67	1850
15.3	4	89	62	1845
15.1	4	122	88	2500
15.7	4	135	84	2490
16.4	4	151	84	2635
12.6	6	173	110	2725
12.9	4	135	84	2385
16.4	4	86	64	1875
16.1	4	81	60	1760
19.4	4	85	65	1975
17.3	4	89	62	2050
14.9	4	105	63	2215
16.2	4	98	65	2045
14.2	4	105	74	2190
14.8	4	119	100	2615
20.4	4	141	80	3230
13.8	6	146	120	2930
15.8	6	231	110	3415
17.1	6	200	88	3060
16.6	6	225	85	3465
18.6	4	112	88	2640
18	4	112	88	2395
16	4	135	84	2525
18	4	151	90	2735
15.3	4	105	74	1980
17.6	4	91	68	1970
14.7	4	105	63	2125
14.5	4	120	88	2160
14.5	4	107	75	2205
15.7	4	91	67	1965
16.4	6	181	110	2945
17	6	262	85	3015
13.9	4	144	96	2665
17.3	4	151	90	2950
15.6	4	140	86	2790
11.6	4	135	84	2295
18.6	4	120	79	2625




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153894&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153894&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153894&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'Gwilym Jenkins' @ jenkins.wessa.net







Correlations for all pairs of data series (method=kendall)
accelerationcylindersenginedisplacementhoresepowerweight
acceleration1-0.377-0.361-0.48-0.278
cylinders-0.37710.7960.7070.75
enginedisplacement-0.3610.79610.7390.808
horesepower-0.480.7070.73910.722
weight-0.2780.750.8080.7221

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & acceleration & cylinders & enginedisplacement & horesepower & weight \tabularnewline
acceleration & 1 & -0.377 & -0.361 & -0.48 & -0.278 \tabularnewline
cylinders & -0.377 & 1 & 0.796 & 0.707 & 0.75 \tabularnewline
enginedisplacement & -0.361 & 0.796 & 1 & 0.739 & 0.808 \tabularnewline
horesepower & -0.48 & 0.707 & 0.739 & 1 & 0.722 \tabularnewline
weight & -0.278 & 0.75 & 0.808 & 0.722 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153894&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]acceleration[/C][C]cylinders[/C][C]enginedisplacement[/C][C]horesepower[/C][C]weight[/C][/ROW]
[ROW][C]acceleration[/C][C]1[/C][C]-0.377[/C][C]-0.361[/C][C]-0.48[/C][C]-0.278[/C][/ROW]
[ROW][C]cylinders[/C][C]-0.377[/C][C]1[/C][C]0.796[/C][C]0.707[/C][C]0.75[/C][/ROW]
[ROW][C]enginedisplacement[/C][C]-0.361[/C][C]0.796[/C][C]1[/C][C]0.739[/C][C]0.808[/C][/ROW]
[ROW][C]horesepower[/C][C]-0.48[/C][C]0.707[/C][C]0.739[/C][C]1[/C][C]0.722[/C][/ROW]
[ROW][C]weight[/C][C]-0.278[/C][C]0.75[/C][C]0.808[/C][C]0.722[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153894&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153894&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)
accelerationcylindersenginedisplacementhoresepowerweight
acceleration1-0.377-0.361-0.48-0.278
cylinders-0.37710.7960.7070.75
enginedisplacement-0.3610.79610.7390.808
horesepower-0.480.7070.73910.722
weight-0.2780.750.8080.7221







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
acceleration;cylinders-0.5133-0.4912-0.3766
p-value(0)(0)(0)
acceleration;enginedisplacement-0.5592-0.5133-0.361
p-value(0)(0)(0)
acceleration;horesepower-0.6819-0.651-0.4803
p-value(0)(0)(0)
acceleration;weight-0.4252-0.4177-0.278
p-value(0)(0)(0)
cylinders;enginedisplacement0.94930.91510.7963
p-value(0)(0)(0)
cylinders;horesepower0.84810.83870.7074
p-value(0)(0)(0)
cylinders;weight0.90060.88610.7502
p-value(0)(0)(0)
enginedisplacement;horesepower0.90780.89550.7393
p-value(0)(0)(0)
enginedisplacement;weight0.9320.94990.8075
p-value(0)(0)(0)
horesepower;weight0.86580.89390.7221
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
acceleration;cylinders & -0.5133 & -0.4912 & -0.3766 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
acceleration;enginedisplacement & -0.5592 & -0.5133 & -0.361 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
acceleration;horesepower & -0.6819 & -0.651 & -0.4803 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
acceleration;weight & -0.4252 & -0.4177 & -0.278 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
cylinders;enginedisplacement & 0.9493 & 0.9151 & 0.7963 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
cylinders;horesepower & 0.8481 & 0.8387 & 0.7074 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
cylinders;weight & 0.9006 & 0.8861 & 0.7502 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
enginedisplacement;horesepower & 0.9078 & 0.8955 & 0.7393 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
enginedisplacement;weight & 0.932 & 0.9499 & 0.8075 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
horesepower;weight & 0.8658 & 0.8939 & 0.7221 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153894&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]acceleration;cylinders[/C][C]-0.5133[/C][C]-0.4912[/C][C]-0.3766[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]acceleration;enginedisplacement[/C][C]-0.5592[/C][C]-0.5133[/C][C]-0.361[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]acceleration;horesepower[/C][C]-0.6819[/C][C]-0.651[/C][C]-0.4803[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]acceleration;weight[/C][C]-0.4252[/C][C]-0.4177[/C][C]-0.278[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]cylinders;enginedisplacement[/C][C]0.9493[/C][C]0.9151[/C][C]0.7963[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]cylinders;horesepower[/C][C]0.8481[/C][C]0.8387[/C][C]0.7074[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]cylinders;weight[/C][C]0.9006[/C][C]0.8861[/C][C]0.7502[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]enginedisplacement;horesepower[/C][C]0.9078[/C][C]0.8955[/C][C]0.7393[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]enginedisplacement;weight[/C][C]0.932[/C][C]0.9499[/C][C]0.8075[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]horesepower;weight[/C][C]0.8658[/C][C]0.8939[/C][C]0.7221[/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=153894&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153894&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
acceleration;cylinders-0.5133-0.4912-0.3766
p-value(0)(0)(0)
acceleration;enginedisplacement-0.5592-0.5133-0.361
p-value(0)(0)(0)
acceleration;horesepower-0.6819-0.651-0.4803
p-value(0)(0)(0)
acceleration;weight-0.4252-0.4177-0.278
p-value(0)(0)(0)
cylinders;enginedisplacement0.94930.91510.7963
p-value(0)(0)(0)
cylinders;horesepower0.84810.83870.7074
p-value(0)(0)(0)
cylinders;weight0.90060.88610.7502
p-value(0)(0)(0)
enginedisplacement;horesepower0.90780.89550.7393
p-value(0)(0)(0)
enginedisplacement;weight0.9320.94990.8075
p-value(0)(0)(0)
horesepower;weight0.86580.89390.7221
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')