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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 computationWed, 14 Dec 2011 09:23:49 -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/t1323872666gufeyh4c64bkm9p.htm/, Retrieved Wed, 01 May 2024 17:16:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=154992, Retrieved Wed, 01 May 2024 17:16:48 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact85
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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- R P     [Kendall tau Correlation Matrix] [Kendall Tau corre...] [2011-12-14 14:27:07] [baac05fe722f73c103cc2d713fa5bd78]
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Dataseries X:
41	38	13	12	14	12
39	32	16	11	18	11
30	35	19	15	11	14
31	33	15	6	12	12
34	37	14	13	16	21
35	29	13	10	18	12
39	31	19	12	14	22
34	36	15	14	14	11
36	35	14	12	15	10
37	38	15	6	15	13
38	31	16	10	17	10
36	34	16	12	19	8
38	35	16	12	10	15
39	38	16	11	16	14
33	37	17	15	18	10
32	33	15	12	14	14
36	32	15	10	14	14
38	38	20	12	17	11
39	38	18	11	14	10
32	32	16	12	16	13
32	33	16	11	18	7
31	31	16	12	11	14
39	38	19	13	14	12
37	39	16	11	12	14
39	32	17	9	17	11
41	32	17	13	9	9
36	35	16	10	16	11
33	37	15	14	14	15
33	33	16	12	15	14
34	33	14	10	11	13
31	28	15	12	16	9
27	32	12	8	13	15
37	31	14	10	17	10
34	37	16	12	15	11
34	30	14	12	14	13
32	33	7	7	16	8
29	31	10	6	9	20
36	33	14	12	15	12
29	31	16	10	17	10
35	33	16	10	13	10
37	32	16	10	15	9
34	33	14	12	16	14
38	32	20	15	16	8
35	33	14	10	12	14
38	28	14	10	12	11
37	35	11	12	11	13
38	39	14	13	15	9
33	34	15	11	15	11
36	38	16	11	17	15
38	32	14	12	13	11
32	38	16	14	16	10
32	30	14	10	14	14
32	33	12	12	11	18
34	38	16	13	12	14
32	32	9	5	12	11
37	32	14	6	15	12
39	34	16	12	16	13
29	34	16	12	15	9
37	36	15	11	12	10
35	34	16	10	12	15
30	28	12	7	8	20
38	34	16	12	13	12
34	35	16	14	11	12
31	35	14	11	14	14
34	31	16	12	15	13
35	37	17	13	10	11
36	35	18	14	11	17
30	27	18	11	12	12
39	40	12	12	15	13
35	37	16	12	15	14
38	36	10	8	14	13
31	38	14	11	16	15
34	39	18	14	15	13
38	41	18	14	15	10
34	27	16	12	13	11
39	30	17	9	12	19
37	37	16	13	17	13
34	31	16	11	13	17
28	31	13	12	15	13
37	27	16	12	13	9
33	36	16	12	15	11
37	38	20	12	16	10
35	37	16	12	15	9
37	33	15	12	16	12
32	34	15	11	15	12
33	31	16	10	14	13
38	39	14	9	15	13
33	34	16	12	14	12
29	32	16	12	13	15
33	33	15	12	7	22
31	36	12	9	17	13
36	32	17	15	13	15
35	41	16	12	15	13
32	28	15	12	14	15
29	30	13	12	13	10
39	36	16	10	16	11
37	35	16	13	12	16
35	31	16	9	14	11
37	34	16	12	17	11
32	36	14	10	15	10
38	36	16	14	17	10
37	35	16	11	12	16
36	37	20	15	16	12
32	28	15	11	11	11
33	39	16	11	15	16
40	32	13	12	9	19
38	35	17	12	16	11
41	39	16	12	15	16
36	35	16	11	10	15
43	42	12	7	10	24
30	34	16	12	15	14
31	33	16	14	11	15
32	41	17	11	13	11
32	33	13	11	14	15
37	34	12	10	18	12
37	32	18	13	16	10
33	40	14	13	14	14
34	40	14	8	14	13
33	35	13	11	14	9
38	36	16	12	14	15
33	37	13	11	12	15
31	27	16	13	14	14
38	39	13	12	15	11
37	38	16	14	15	8
33	31	15	13	15	11
31	33	16	15	13	11
39	32	15	10	17	8
44	39	17	11	17	10
33	36	15	9	19	11
35	33	12	11	15	13
32	33	16	10	13	11
28	32	10	11	9	20
40	37	16	8	15	10
27	30	12	11	15	15
37	38	14	12	15	12
32	29	15	12	16	14
28	22	13	9	11	23
34	35	15	11	14	14
30	35	11	10	11	16
35	34	12	8	15	11
31	35	8	9	13	12
32	34	16	8	15	10
30	34	15	9	16	14
30	35	17	15	14	12
31	23	16	11	15	12
40	31	10	8	16	11
32	27	18	13	16	12
36	36	13	12	11	13
32	31	16	12	12	11
35	32	13	9	9	19
38	39	10	7	16	12
42	37	15	13	13	17
34	38	16	9	16	9
35	39	16	6	12	12
35	34	14	8	9	19
33	31	10	8	13	18
36	32	17	15	13	15
32	37	13	6	14	14
33	36	15	9	19	11
34	32	16	11	13	9
32	35	12	8	12	18
34	36	13	8	13	16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154992&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154992&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154992&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Correlations for all pairs of data series (method=pearson)
ConnectedSeparateLearningSoftwareHappinessDepression
Connected10.3680.2140.0620.143-0.12
Separate0.36810.080.0680.154-0.078
Learning0.2140.0810.5460.183-0.233
Software0.0620.0680.54610.074-0.135
Happiness0.1430.1540.1830.0741-0.544
Depression-0.12-0.078-0.233-0.135-0.5441

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & Connected & Separate & Learning & Software & Happiness & Depression \tabularnewline
Connected & 1 & 0.368 & 0.214 & 0.062 & 0.143 & -0.12 \tabularnewline
Separate & 0.368 & 1 & 0.08 & 0.068 & 0.154 & -0.078 \tabularnewline
Learning & 0.214 & 0.08 & 1 & 0.546 & 0.183 & -0.233 \tabularnewline
Software & 0.062 & 0.068 & 0.546 & 1 & 0.074 & -0.135 \tabularnewline
Happiness & 0.143 & 0.154 & 0.183 & 0.074 & 1 & -0.544 \tabularnewline
Depression & -0.12 & -0.078 & -0.233 & -0.135 & -0.544 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154992&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]Connected[/C][C]Separate[/C][C]Learning[/C][C]Software[/C][C]Happiness[/C][C]Depression[/C][/ROW]
[ROW][C]Connected[/C][C]1[/C][C]0.368[/C][C]0.214[/C][C]0.062[/C][C]0.143[/C][C]-0.12[/C][/ROW]
[ROW][C]Separate[/C][C]0.368[/C][C]1[/C][C]0.08[/C][C]0.068[/C][C]0.154[/C][C]-0.078[/C][/ROW]
[ROW][C]Learning[/C][C]0.214[/C][C]0.08[/C][C]1[/C][C]0.546[/C][C]0.183[/C][C]-0.233[/C][/ROW]
[ROW][C]Software[/C][C]0.062[/C][C]0.068[/C][C]0.546[/C][C]1[/C][C]0.074[/C][C]-0.135[/C][/ROW]
[ROW][C]Happiness[/C][C]0.143[/C][C]0.154[/C][C]0.183[/C][C]0.074[/C][C]1[/C][C]-0.544[/C][/ROW]
[ROW][C]Depression[/C][C]-0.12[/C][C]-0.078[/C][C]-0.233[/C][C]-0.135[/C][C]-0.544[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154992&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154992&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)
ConnectedSeparateLearningSoftwareHappinessDepression
Connected10.3680.2140.0620.143-0.12
Separate0.36810.080.0680.154-0.078
Learning0.2140.0810.5460.183-0.233
Software0.0620.0680.54610.074-0.135
Happiness0.1430.1540.1830.0741-0.544
Depression-0.12-0.078-0.233-0.135-0.5441







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Connected;Separate0.36820.32430.2413
p-value(0)(0)(0)
Connected;Learning0.21370.20760.1586
p-value(0.0063)(0.008)(0.0072)
Connected;Software0.06220.07480.0549
p-value(0.4317)(0.3439)(0.3491)
Connected;Happiness0.14270.17170.1274
p-value(0.0701)(0.0289)(0.0283)
Connected;Depression-0.1203-0.1676-0.128
p-value(0.1274)(0.033)(0.026)
Separate;Learning0.07960.08780.0665
p-value(0.3139)(0.2666)(0.2597)
Separate;Software0.06790.11110.0787
p-value(0.3906)(0.1594)(0.1795)
Separate;Happiness0.15370.15430.1097
p-value(0.0509)(0.05)(0.0589)
Separate;Depression-0.0783-0.036-0.0297
p-value(0.3219)(0.6492)(0.606)
Learning;Software0.54560.48810.3906
p-value(0)(0)(0)
Learning;Happiness0.18290.15530.1199
p-value(0.0198)(0.0484)(0.0461)
Learning;Depression-0.2327-0.2515-0.1892
p-value(0.0029)(0.0012)(0.0015)
Software;Happiness0.0740.03120.0241
p-value(0.3492)(0.6933)(0.6863)
Software;Depression-0.1349-0.0649-0.0499
p-value(0.087)(0.4121)(0.3988)
Happiness;Depression-0.5442-0.4738-0.3724
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
Connected;Separate & 0.3682 & 0.3243 & 0.2413 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Connected;Learning & 0.2137 & 0.2076 & 0.1586 \tabularnewline
p-value & (0.0063) & (0.008) & (0.0072) \tabularnewline
Connected;Software & 0.0622 & 0.0748 & 0.0549 \tabularnewline
p-value & (0.4317) & (0.3439) & (0.3491) \tabularnewline
Connected;Happiness & 0.1427 & 0.1717 & 0.1274 \tabularnewline
p-value & (0.0701) & (0.0289) & (0.0283) \tabularnewline
Connected;Depression & -0.1203 & -0.1676 & -0.128 \tabularnewline
p-value & (0.1274) & (0.033) & (0.026) \tabularnewline
Separate;Learning & 0.0796 & 0.0878 & 0.0665 \tabularnewline
p-value & (0.3139) & (0.2666) & (0.2597) \tabularnewline
Separate;Software & 0.0679 & 0.1111 & 0.0787 \tabularnewline
p-value & (0.3906) & (0.1594) & (0.1795) \tabularnewline
Separate;Happiness & 0.1537 & 0.1543 & 0.1097 \tabularnewline
p-value & (0.0509) & (0.05) & (0.0589) \tabularnewline
Separate;Depression & -0.0783 & -0.036 & -0.0297 \tabularnewline
p-value & (0.3219) & (0.6492) & (0.606) \tabularnewline
Learning;Software & 0.5456 & 0.4881 & 0.3906 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Learning;Happiness & 0.1829 & 0.1553 & 0.1199 \tabularnewline
p-value & (0.0198) & (0.0484) & (0.0461) \tabularnewline
Learning;Depression & -0.2327 & -0.2515 & -0.1892 \tabularnewline
p-value & (0.0029) & (0.0012) & (0.0015) \tabularnewline
Software;Happiness & 0.074 & 0.0312 & 0.0241 \tabularnewline
p-value & (0.3492) & (0.6933) & (0.6863) \tabularnewline
Software;Depression & -0.1349 & -0.0649 & -0.0499 \tabularnewline
p-value & (0.087) & (0.4121) & (0.3988) \tabularnewline
Happiness;Depression & -0.5442 & -0.4738 & -0.3724 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154992&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]Connected;Separate[/C][C]0.3682[/C][C]0.3243[/C][C]0.2413[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Connected;Learning[/C][C]0.2137[/C][C]0.2076[/C][C]0.1586[/C][/ROW]
[ROW][C]p-value[/C][C](0.0063)[/C][C](0.008)[/C][C](0.0072)[/C][/ROW]
[ROW][C]Connected;Software[/C][C]0.0622[/C][C]0.0748[/C][C]0.0549[/C][/ROW]
[ROW][C]p-value[/C][C](0.4317)[/C][C](0.3439)[/C][C](0.3491)[/C][/ROW]
[ROW][C]Connected;Happiness[/C][C]0.1427[/C][C]0.1717[/C][C]0.1274[/C][/ROW]
[ROW][C]p-value[/C][C](0.0701)[/C][C](0.0289)[/C][C](0.0283)[/C][/ROW]
[ROW][C]Connected;Depression[/C][C]-0.1203[/C][C]-0.1676[/C][C]-0.128[/C][/ROW]
[ROW][C]p-value[/C][C](0.1274)[/C][C](0.033)[/C][C](0.026)[/C][/ROW]
[ROW][C]Separate;Learning[/C][C]0.0796[/C][C]0.0878[/C][C]0.0665[/C][/ROW]
[ROW][C]p-value[/C][C](0.3139)[/C][C](0.2666)[/C][C](0.2597)[/C][/ROW]
[ROW][C]Separate;Software[/C][C]0.0679[/C][C]0.1111[/C][C]0.0787[/C][/ROW]
[ROW][C]p-value[/C][C](0.3906)[/C][C](0.1594)[/C][C](0.1795)[/C][/ROW]
[ROW][C]Separate;Happiness[/C][C]0.1537[/C][C]0.1543[/C][C]0.1097[/C][/ROW]
[ROW][C]p-value[/C][C](0.0509)[/C][C](0.05)[/C][C](0.0589)[/C][/ROW]
[ROW][C]Separate;Depression[/C][C]-0.0783[/C][C]-0.036[/C][C]-0.0297[/C][/ROW]
[ROW][C]p-value[/C][C](0.3219)[/C][C](0.6492)[/C][C](0.606)[/C][/ROW]
[ROW][C]Learning;Software[/C][C]0.5456[/C][C]0.4881[/C][C]0.3906[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Learning;Happiness[/C][C]0.1829[/C][C]0.1553[/C][C]0.1199[/C][/ROW]
[ROW][C]p-value[/C][C](0.0198)[/C][C](0.0484)[/C][C](0.0461)[/C][/ROW]
[ROW][C]Learning;Depression[/C][C]-0.2327[/C][C]-0.2515[/C][C]-0.1892[/C][/ROW]
[ROW][C]p-value[/C][C](0.0029)[/C][C](0.0012)[/C][C](0.0015)[/C][/ROW]
[ROW][C]Software;Happiness[/C][C]0.074[/C][C]0.0312[/C][C]0.0241[/C][/ROW]
[ROW][C]p-value[/C][C](0.3492)[/C][C](0.6933)[/C][C](0.6863)[/C][/ROW]
[ROW][C]Software;Depression[/C][C]-0.1349[/C][C]-0.0649[/C][C]-0.0499[/C][/ROW]
[ROW][C]p-value[/C][C](0.087)[/C][C](0.4121)[/C][C](0.3988)[/C][/ROW]
[ROW][C]Happiness;Depression[/C][C]-0.5442[/C][C]-0.4738[/C][C]-0.3724[/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=154992&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154992&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
Connected;Separate0.36820.32430.2413
p-value(0)(0)(0)
Connected;Learning0.21370.20760.1586
p-value(0.0063)(0.008)(0.0072)
Connected;Software0.06220.07480.0549
p-value(0.4317)(0.3439)(0.3491)
Connected;Happiness0.14270.17170.1274
p-value(0.0701)(0.0289)(0.0283)
Connected;Depression-0.1203-0.1676-0.128
p-value(0.1274)(0.033)(0.026)
Separate;Learning0.07960.08780.0665
p-value(0.3139)(0.2666)(0.2597)
Separate;Software0.06790.11110.0787
p-value(0.3906)(0.1594)(0.1795)
Separate;Happiness0.15370.15430.1097
p-value(0.0509)(0.05)(0.0589)
Separate;Depression-0.0783-0.036-0.0297
p-value(0.3219)(0.6492)(0.606)
Learning;Software0.54560.48810.3906
p-value(0)(0)(0)
Learning;Happiness0.18290.15530.1199
p-value(0.0198)(0.0484)(0.0461)
Learning;Depression-0.2327-0.2515-0.1892
p-value(0.0029)(0.0012)(0.0015)
Software;Happiness0.0740.03120.0241
p-value(0.3492)(0.6933)(0.6863)
Software;Depression-0.1349-0.0649-0.0499
p-value(0.087)(0.4121)(0.3988)
Happiness;Depression-0.5442-0.4738-0.3724
p-value(0)(0)(0)



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')