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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

Wed, 11 Nov 2009 13:56:31 -0700

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/2009/Nov/11/t1257973106qf6w55oxcj20syf.htm/, Retrieved Fri, 26 Apr 2024 23:06:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55842, Retrieved Fri, 26 Apr 2024 23:06:42 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Rob_WS6_Kendalltau

Estimated Impact

169

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Kendall tau Correlation Matrix] [3/11/2009] [2009-11-02 21:25:00] [b98453cac15ba1066b407e146608df68]
-    D    [Kendall tau Correlation Matrix] [] [2009-11-11 20:56:31] [9002751dd674b8c934bf183fdf4510e9] [Current]
-    D      [Kendall tau Correlation Matrix] [ws 6 1] [2009-11-13 10:18:20] [55b7a497389226c9339ee8d75ebc3b97] 
- RM D      [Notched Boxplots] [ws 6  2] [2009-11-13 10:23:04] [55b7a497389226c9339ee8d75ebc3b97] 

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Dataseries X:

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Histogram

Boxplots

100.30	100.00	100.00	NA
101.90	102.83	97.07	NA
102.10	109.50	92.57	NA
103.20	115.91	87.69	NA
103.70	107.94	82.97	NA
106.20	110.86	78.80	100.00
107.70	118.89	75.16	101.42
109.90	123.38	72.07	97.84
111.70	113.33	68.06	100.00
114.90	116.38	65.13	95.64
116.00	122.04	63.94	98.94
118.30	125.47	63.29	98.39
120.40	115.62	62.91	99.98
126.00	117.91	62.96	96.14
128.10	122.40	65.24	99.33
130.10	125.05	69.96	97.82
130.80	114.18	76.14	102.85
133.60	114.74	84.06	103.93
134.20	120.63	90.56	107.88
135.50	123.68	94.69	110.82
136.20	112.84	98.54	115.53
139.10	115.64	99.57	117.09
139.00	122.32	101.52	123.40
139.60	124.59	106.07	126.57
138.70	116.33	109.00	130.34
140.90	117.45	104.83	81.79
141.30	125.64	103.96	83.26
141.80	128.38	103.04	83.65
142.00	119.87	99.19	83.88
144.50	121.22	97.89	84.73
144.60	128.98	93.82	86.27
145.50	131.35	89.48	87.71
146.80	121.35	87.74	88.52
149.50	123.72	85.79	89.32
149.90	131.06	85.47	90.61
150.10	134.55	82.00	90.95
150.90	125.93	83.51	90.90
152.80	128.90	82.38	91.02
153.10	136.19	79.88	91.66
154.00	140.34	76.03	91.23
154.90	130.48	70.44	90.81
156.90	134.68	68.71	90.90
158.40	141.05	65.08	91.27
159.70	145.44	62.09	90.45
160.20	136.21	59.82	89.60
163.20	139.85	58.35	88.49
163.70	147.13	59.38	88.31
164.40	151.44	58.57	87.83
163.70	143.62	58.68	87.62
165.50	148.55	57.48	87.60
165.60	153.54	55.69	88.08
166.80	159.79	54.39	88.08
167.50	152.55	53.52	87.41
170.60	155.84	52.01	87.53
170.90	160.38	49.51	88.31
172.00	164.22	49.46	89.04
171.80	156.40	48.21	89.34
173.90	160.05	47.83	90.22
174.00	165.60	48.86	91.02
173.80	171.15	49.51	91.69
173.90	161.90	49.95	91.62
176.00	167.21	49.57	91.32
176.60	171.34	51.52	91.82
178.20	176.83	48.48	91.75
179.20	166.27	50.43	91.57
181.30	172.30	48.26	92.19
181.80	176.71	48.70	92.81
182.90	182.99	47.72	50.99
183.80	172.07	45.55	50.92
186.30	178.17	45.82	50.37
187.40	182.20	44.41	50.32
189.20	188.49	45.44	49.77
189.70	176.88	45.17	49.45
191.90	182.13	45.39	49.15
192.60	185.32	46.10	49.10
193.70	192.86	50.27	48.85
194.20	180.27	50.54	48.76
197.60	184.92	53.04	48.58
199.30	187.82	53.04	48.90
201.40	194.94	52.82	48.97
203.00	184.36	52.98	48.78
206.30	188.80	51.52	48.64
207.10	193.42	50.70	48.64
209.80	199.76	49.51	48.16
211.10	188.78	51.08	48.12
215.30	191.49	53.69	48.05
217.40	194.87	58.30	48.25
215.50	198.28	64.05	47.77
210.90	183.24	72.45	46.72
212.60	204.87	80.91	NA

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55842&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55842&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55842&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	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( RP , FCE )	0.875874153190533	0
tau( RP , UNEM )	-0.529801361727048	1.47851239799779e-13
tau( RP , IS )	-0.550832945545334	1.26448641813690e-13
tau( FCE , UNEM )	-0.553154386478946	1.19462101390081e-14
tau( FCE , IS )	-0.539764770993579	3.78796475137932e-13
tau( UNEM , IS )	0.28760235895103	0.000110053008159694

\begin{tabular}{lllllllll}
\hline
Kendall tau rank correlations for all pairs of data series \tabularnewline
pair & tau & p-value \tabularnewline
tau( RP , FCE ) & 0.875874153190533 & 0 \tabularnewline
tau( RP , UNEM ) & -0.529801361727048 & 1.47851239799779e-13 \tabularnewline
tau( RP , IS ) & -0.550832945545334 & 1.26448641813690e-13 \tabularnewline
tau( FCE , UNEM ) & -0.553154386478946 & 1.19462101390081e-14 \tabularnewline
tau( FCE , IS ) & -0.539764770993579 & 3.78796475137932e-13 \tabularnewline
tau( UNEM , IS ) & 0.28760235895103 & 0.000110053008159694 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55842&T=1

[TABLE]
[ROW][C]Kendall tau rank correlations for all pairs of data series[/C][/ROW]
[ROW][C]pair[/C][C]tau[/C][C]p-value[/C][/ROW]
[ROW][C]tau( RP , FCE )[/C][C]0.875874153190533[/C][C]0[/C][/ROW]
[ROW][C]tau( RP , UNEM )[/C][C]-0.529801361727048[/C][C]1.47851239799779e-13[/C][/ROW]
[ROW][C]tau( RP , IS )[/C][C]-0.550832945545334[/C][C]1.26448641813690e-13[/C][/ROW]
[ROW][C]tau( FCE , UNEM )[/C][C]-0.553154386478946[/C][C]1.19462101390081e-14[/C][/ROW]
[ROW][C]tau( FCE , IS )[/C][C]-0.539764770993579[/C][C]3.78796475137932e-13[/C][/ROW]
[ROW][C]tau( UNEM , IS )[/C][C]0.28760235895103[/C][C]0.000110053008159694[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55842&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55842&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( RP , FCE )	0.875874153190533	0
tau( RP , UNEM )	-0.529801361727048	1.47851239799779e-13
tau( RP , IS )	-0.550832945545334	1.26448641813690e-13
tau( FCE , UNEM )	-0.553154386478946	1.19462101390081e-14
tau( FCE , IS )	-0.539764770993579	3.78796475137932e-13
tau( UNEM , IS )	0.28760235895103	0.000110053008159694

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

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='kendall')
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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kendall tau rank correlations for all pairs of data series',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'tau',1,TRUE)
a<-table.element(a,'p-value',1,TRUE)
a<-table.row.end(a)
n <- length(y[,1])
n
cor.test(y[1,],y[2,],method='kendall')
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste('tau(',dimnames(t(x))[[2]][i])
dum <- paste(dum,',')
dum <- paste(dum,dimnames(t(x))[[2]][j])
dum <- paste(dum,')')
a<-table.element(a,dum,header=TRUE)
r <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,r$estimate)
a<-table.element(a,r$p.value)
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code