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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 computationWed, 14 Dec 2011 05:43:33 -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/14/t1323859497mijyli7woggv4zg.htm/, Retrieved Wed, 01 May 2024 22:17:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=154840, Retrieved Wed, 01 May 2024 22:17:19 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112
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 18:04:16] [b98453cac15ba1066b407e146608df68]
- RMPD    [Kendall tau Correlation Matrix] [Pearson Correlati...] [2011-12-14 10:43:33] [d160b678fd2d7bb562db2147d7efddc2] [Current]
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Dataseries X:
1536	78	20	17	66	30
1134	46	38	17	68	42
192	18	0	0	0	0
2032	84	49	22	68	54
3230	124	74	30	120	86
5723	214	104	29	112	157
1321	49	37	19	72	36
1077	46	49	25	96	48
1462	37	42	30	109	45
2568	86	62	26	104	77
1810	69	50	20	54	49
1788	58	65	25	98	77
1334	85	28	15	49	28
2415	84	48	22	88	84
1155	43	42	12	45	31
1374	67	47	19	74	28
1503	49	71	28	112	99
999	47	0	12	45	2
2189	76	50	28	110	41
633	20	12	13	39	25
837	48	16	14	55	16
2167	81	76	27	102	96
1451	57	29	25	96	23
1790	45	38	30	86	33
1645	72	50	18	67	46
1179	22	33	17	64	59
1688	138	45	22	82	72
1100	74	59	28	100	72
2258	101	49	25	95	62
1767	35	40	16	63	55
1300	39	40	23	87	27
1432	38	51	20	65	41
1780	87	41	11	43	51
2475	102	73	20	80	26
1930	42	43	21	84	65
1	1	0	0	0	0
1782	54	46	27	105	28
1505	46	44	14	51	44
1820	41	31	29	98	36
1648	49	71	31	124	100
1668	56	61	19	75	104
1366	47	28	30	120	35
864	25	21	23	84	69
1602	62	42	20	78	73
1023	41	44	22	87	106
962	72	34	19	70	53
629	26	15	32	97	43
1568	77	46	18	72	49
1715	75	43	26	104	38
2093	51	47	25	93	51
658	28	12	22	82	14
1198	53	42	19	73	40
2059	64	56	24	87	79
1574	65	41	26	95	52
1447	48	48	27	105	44
1342	44	30	10	37	34
1526	54	44	26	96	47
669	16	25	21	80	32
859	55	42	21	83	31
2315	71	28	34	124	40
1326	47	33	29	116	42
1567	62	32	18	72	34
1080	44	28	16	55	40
896	28	31	23	86	35
855	25	13	22	85	11
1229	37	38	29	107	43
1939	60	39	31	124	53
2293	57	68	21	78	82
818	30	32	21	83	41




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

\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
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154840&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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154840&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154840&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







Correlations for all pairs of data series (method=pearson)
Pageviews#LoginsBlogged_ComputationsReviewed_CompendiumsFeedback_in_PRIncluded_Hyperlinks
Pageviews10.8380.7660.4350.4590.655
#Logins0.83810.6550.2690.3010.55
Blogged_Computations0.7660.65510.4610.5050.791
Reviewed_Compendiums0.4350.2690.46110.9660.421
Feedback_in_PR0.4590.3010.5050.96610.459
Included_Hyperlinks0.6550.550.7910.4210.4591

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & Pageviews & #Logins & Blogged_Computations & Reviewed_Compendiums & Feedback_in_PR & Included_Hyperlinks \tabularnewline
Pageviews & 1 & 0.838 & 0.766 & 0.435 & 0.459 & 0.655 \tabularnewline
#Logins & 0.838 & 1 & 0.655 & 0.269 & 0.301 & 0.55 \tabularnewline
Blogged_Computations & 0.766 & 0.655 & 1 & 0.461 & 0.505 & 0.791 \tabularnewline
Reviewed_Compendiums & 0.435 & 0.269 & 0.461 & 1 & 0.966 & 0.421 \tabularnewline
Feedback_in_PR & 0.459 & 0.301 & 0.505 & 0.966 & 1 & 0.459 \tabularnewline
Included_Hyperlinks & 0.655 & 0.55 & 0.791 & 0.421 & 0.459 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154840&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]Pageviews[/C][C]#Logins[/C][C]Blogged_Computations[/C][C]Reviewed_Compendiums[/C][C]Feedback_in_PR[/C][C]Included_Hyperlinks[/C][/ROW]
[ROW][C]Pageviews[/C][C]1[/C][C]0.838[/C][C]0.766[/C][C]0.435[/C][C]0.459[/C][C]0.655[/C][/ROW]
[ROW][C]#Logins[/C][C]0.838[/C][C]1[/C][C]0.655[/C][C]0.269[/C][C]0.301[/C][C]0.55[/C][/ROW]
[ROW][C]Blogged_Computations[/C][C]0.766[/C][C]0.655[/C][C]1[/C][C]0.461[/C][C]0.505[/C][C]0.791[/C][/ROW]
[ROW][C]Reviewed_Compendiums[/C][C]0.435[/C][C]0.269[/C][C]0.461[/C][C]1[/C][C]0.966[/C][C]0.421[/C][/ROW]
[ROW][C]Feedback_in_PR[/C][C]0.459[/C][C]0.301[/C][C]0.505[/C][C]0.966[/C][C]1[/C][C]0.459[/C][/ROW]
[ROW][C]Included_Hyperlinks[/C][C]0.655[/C][C]0.55[/C][C]0.791[/C][C]0.421[/C][C]0.459[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154840&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154840&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=pearson)
Pageviews#LoginsBlogged_ComputationsReviewed_CompendiumsFeedback_in_PRIncluded_Hyperlinks
Pageviews10.8380.7660.4350.4590.655
#Logins0.83810.6550.2690.3010.55
Blogged_Computations0.7660.65510.4610.5050.791
Reviewed_Compendiums0.4350.2690.46110.9660.421
Feedback_in_PR0.4590.3010.5050.96610.459
Included_Hyperlinks0.6550.550.7910.4210.4591







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Pageviews;#Logins0.83790.70420.536
p-value(0)(0)(0)
Pageviews;Blogged_Computations0.76550.67980.5084
p-value(0)(0)(0)
Pageviews;Reviewed_Compendiums0.43450.37640.2716
p-value(2e-04)(0.0014)(0.0012)
Pageviews;Feedback_in_PR0.45860.38810.2762
p-value(1e-04)(0.001)(8e-04)
Pageviews;Included_Hyperlinks0.6550.51830.3846
p-value(0)(0)(0)
#Logins;Blogged_Computations0.65480.58540.4229
p-value(0)(0)(0)
#Logins;Reviewed_Compendiums0.26880.15650.1004
p-value(0.0255)(0.1991)(0.2326)
#Logins;Feedback_in_PR0.30060.20660.143
p-value(0.0121)(0.0885)(0.0853)
#Logins;Included_Hyperlinks0.55040.38070.2632
p-value(0)(0.0013)(0.0015)
Blogged_Computations;Reviewed_Compendiums0.46130.32150.2425
p-value(1e-04)(0.0071)(0.0041)
Blogged_Computations;Feedback_in_PR0.50490.36780.2687
p-value(0)(0.0019)(0.0013)
Blogged_Computations;Included_Hyperlinks0.79110.68710.5328
p-value(0)(0)(0)
Reviewed_Compendiums;Feedback_in_PR0.96570.95690.8687
p-value(0)(0)(0)
Reviewed_Compendiums;Included_Hyperlinks0.42130.3490.2436
p-value(3e-04)(0.0033)(0.0038)
Feedback_in_PR;Included_Hyperlinks0.45870.3730.2546
p-value(1e-04)(0.0016)(0.0022)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
Pageviews;#Logins & 0.8379 & 0.7042 & 0.536 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Pageviews;Blogged_Computations & 0.7655 & 0.6798 & 0.5084 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Pageviews;Reviewed_Compendiums & 0.4345 & 0.3764 & 0.2716 \tabularnewline
p-value & (2e-04) & (0.0014) & (0.0012) \tabularnewline
Pageviews;Feedback_in_PR & 0.4586 & 0.3881 & 0.2762 \tabularnewline
p-value & (1e-04) & (0.001) & (8e-04) \tabularnewline
Pageviews;Included_Hyperlinks & 0.655 & 0.5183 & 0.3846 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
#Logins;Blogged_Computations & 0.6548 & 0.5854 & 0.4229 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
#Logins;Reviewed_Compendiums & 0.2688 & 0.1565 & 0.1004 \tabularnewline
p-value & (0.0255) & (0.1991) & (0.2326) \tabularnewline
#Logins;Feedback_in_PR & 0.3006 & 0.2066 & 0.143 \tabularnewline
p-value & (0.0121) & (0.0885) & (0.0853) \tabularnewline
#Logins;Included_Hyperlinks & 0.5504 & 0.3807 & 0.2632 \tabularnewline
p-value & (0) & (0.0013) & (0.0015) \tabularnewline
Blogged_Computations;Reviewed_Compendiums & 0.4613 & 0.3215 & 0.2425 \tabularnewline
p-value & (1e-04) & (0.0071) & (0.0041) \tabularnewline
Blogged_Computations;Feedback_in_PR & 0.5049 & 0.3678 & 0.2687 \tabularnewline
p-value & (0) & (0.0019) & (0.0013) \tabularnewline
Blogged_Computations;Included_Hyperlinks & 0.7911 & 0.6871 & 0.5328 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Reviewed_Compendiums;Feedback_in_PR & 0.9657 & 0.9569 & 0.8687 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Reviewed_Compendiums;Included_Hyperlinks & 0.4213 & 0.349 & 0.2436 \tabularnewline
p-value & (3e-04) & (0.0033) & (0.0038) \tabularnewline
Feedback_in_PR;Included_Hyperlinks & 0.4587 & 0.373 & 0.2546 \tabularnewline
p-value & (1e-04) & (0.0016) & (0.0022) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154840&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]Pageviews;#Logins[/C][C]0.8379[/C][C]0.7042[/C][C]0.536[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Pageviews;Blogged_Computations[/C][C]0.7655[/C][C]0.6798[/C][C]0.5084[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Pageviews;Reviewed_Compendiums[/C][C]0.4345[/C][C]0.3764[/C][C]0.2716[/C][/ROW]
[ROW][C]p-value[/C][C](2e-04)[/C][C](0.0014)[/C][C](0.0012)[/C][/ROW]
[ROW][C]Pageviews;Feedback_in_PR[/C][C]0.4586[/C][C]0.3881[/C][C]0.2762[/C][/ROW]
[ROW][C]p-value[/C][C](1e-04)[/C][C](0.001)[/C][C](8e-04)[/C][/ROW]
[ROW][C]Pageviews;Included_Hyperlinks[/C][C]0.655[/C][C]0.5183[/C][C]0.3846[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]#Logins;Blogged_Computations[/C][C]0.6548[/C][C]0.5854[/C][C]0.4229[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]#Logins;Reviewed_Compendiums[/C][C]0.2688[/C][C]0.1565[/C][C]0.1004[/C][/ROW]
[ROW][C]p-value[/C][C](0.0255)[/C][C](0.1991)[/C][C](0.2326)[/C][/ROW]
[ROW][C]#Logins;Feedback_in_PR[/C][C]0.3006[/C][C]0.2066[/C][C]0.143[/C][/ROW]
[ROW][C]p-value[/C][C](0.0121)[/C][C](0.0885)[/C][C](0.0853)[/C][/ROW]
[ROW][C]#Logins;Included_Hyperlinks[/C][C]0.5504[/C][C]0.3807[/C][C]0.2632[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0.0013)[/C][C](0.0015)[/C][/ROW]
[ROW][C]Blogged_Computations;Reviewed_Compendiums[/C][C]0.4613[/C][C]0.3215[/C][C]0.2425[/C][/ROW]
[ROW][C]p-value[/C][C](1e-04)[/C][C](0.0071)[/C][C](0.0041)[/C][/ROW]
[ROW][C]Blogged_Computations;Feedback_in_PR[/C][C]0.5049[/C][C]0.3678[/C][C]0.2687[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0.0019)[/C][C](0.0013)[/C][/ROW]
[ROW][C]Blogged_Computations;Included_Hyperlinks[/C][C]0.7911[/C][C]0.6871[/C][C]0.5328[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Reviewed_Compendiums;Feedback_in_PR[/C][C]0.9657[/C][C]0.9569[/C][C]0.8687[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Reviewed_Compendiums;Included_Hyperlinks[/C][C]0.4213[/C][C]0.349[/C][C]0.2436[/C][/ROW]
[ROW][C]p-value[/C][C](3e-04)[/C][C](0.0033)[/C][C](0.0038)[/C][/ROW]
[ROW][C]Feedback_in_PR;Included_Hyperlinks[/C][C]0.4587[/C][C]0.373[/C][C]0.2546[/C][/ROW]
[ROW][C]p-value[/C][C](1e-04)[/C][C](0.0016)[/C][C](0.0022)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154840&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154840&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
Pageviews;#Logins0.83790.70420.536
p-value(0)(0)(0)
Pageviews;Blogged_Computations0.76550.67980.5084
p-value(0)(0)(0)
Pageviews;Reviewed_Compendiums0.43450.37640.2716
p-value(2e-04)(0.0014)(0.0012)
Pageviews;Feedback_in_PR0.45860.38810.2762
p-value(1e-04)(0.001)(8e-04)
Pageviews;Included_Hyperlinks0.6550.51830.3846
p-value(0)(0)(0)
#Logins;Blogged_Computations0.65480.58540.4229
p-value(0)(0)(0)
#Logins;Reviewed_Compendiums0.26880.15650.1004
p-value(0.0255)(0.1991)(0.2326)
#Logins;Feedback_in_PR0.30060.20660.143
p-value(0.0121)(0.0885)(0.0853)
#Logins;Included_Hyperlinks0.55040.38070.2632
p-value(0)(0.0013)(0.0015)
Blogged_Computations;Reviewed_Compendiums0.46130.32150.2425
p-value(1e-04)(0.0071)(0.0041)
Blogged_Computations;Feedback_in_PR0.50490.36780.2687
p-value(0)(0.0019)(0.0013)
Blogged_Computations;Included_Hyperlinks0.79110.68710.5328
p-value(0)(0)(0)
Reviewed_Compendiums;Feedback_in_PR0.96570.95690.8687
p-value(0)(0)(0)
Reviewed_Compendiums;Included_Hyperlinks0.42130.3490.2436
p-value(3e-04)(0.0033)(0.0038)
Feedback_in_PR;Included_Hyperlinks0.45870.3730.2546
p-value(1e-04)(0.0016)(0.0022)



Parameters (Session):
par1 = pearson ;
Parameters (R input):
par1 = pearson ;
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')